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Digital Workbook

Kyle Gullings

At the end of each chapter, you may find Assignments linked for that chapter. Those same assignments are also gathered here in a single table for convenient browsing.

Use arrows in the cells on the header row to sort the table alphabetically. Use the “Search” function to filter by the words in your search.

Last updated: August 19, 2024 6:14 pm

Book order Part Chapter Assignments
1 I. Fundamentals Introduction to Western Musical Notation , ); Rubric ( , )

2 I. Fundamentals Notation of Notes, Clefs, and Ledger Lines , ). Asks students to practice handwriting elements of music notation. , . ). Asks students to practice handwriting elements of music notation.

3 I. Fundamentals Reading Clefs , ). Asks students to write and identify notes in treble, bass, alto, and tenor clefs, with and without ledger lines. , ). Asks students to write and identify notes in treble, bass, alto, and tenor clefs, with and without ledger lines. , . ). Asks students to write and identify notes in , with and without ledger lines.

4 I. Fundamentals The Keyboard and the Grand Staff , ) , ) , ) , )

5 I. Fundamentals Half Steps, Whole Steps, and Accidentals , ) , ) , ) , ) , ) , )

6 I. Fundamentals American Standard Pitch Notation (ASPN) , . ). Asks students to identify pitches by ASPN label and write pitches in the correct octave from ASPN labels. , . ). Asks students to identify pitches by ASPN label and write pitches in the correct octave from ASPN labels. No C clefs.

7 I. Fundamentals Other Aspects of Notation , ). Asks students to order dynamics, tempi, and historical periods; draw articulations, structural features, and hairpins; and answer informational questions about these aspects of notation.

8 I. Fundamentals Notating Rhythm , ) , )

9 I. Fundamentals Simple Meter and Time Signatures , ) , )

10 I. Fundamentals Compound Meter and Time Signatures , ) , )

11 I. Fundamentals Other Rhythmic Essentials , )

12 I. Fundamentals Major Scales, Scale Degrees, and Key Signatures , ). Asks students to write major scales. All clefs. , ). Asks students to write major scales. Treble and bass clef only. , ). Asks students to write and identify major key signatures. All clefs. , ). Asks students to write and identify major key signatures. Treble and bass clef only.

13 I. Fundamentals Minor Scales, Scale Degrees, and Key Signatures , ). Asks students to write minor scales. All clefs. , ). Asks students to write minor scales. Treble and bass clef only. , ). Asks students to write and identify minor key signatures. All clefs. , ). Asks students to write and identify minor key signatures. Treble and bass clef only.

14 I. Fundamentals Introduction to Diatonic Modes and the Chromatic “Scale” ,  ) ,  ) ,  ) ,  )

15 I. Fundamentals Intervals , ) , ) , )

16 I. Fundamentals Triads , ). Asks students to identify 10 root-position closed-spacing chords with a chord symbol and write 10 chords in root position from a chord symbol. Includes C clefs. ). Asks students to identify 10 root-position closed-spacing chords with a chord symbol and write 10 chords in root position from a chord symbol. Includes C clefs. , ). Asks students to identify 10 root-position closed-spacing chords with a chord symbol and write 10 chords in root position from a chord symbol. Includes C clefs. , ). Treble and bass clefs only. Asks students to identify 20 root-position closed-spacing chords with a chord symbol, write 20 chords in root position from a chord symbol, and identify chords by chord symbol in a short piano-and-voice excerpt.

17 I. Fundamentals Seventh Chords , ). Asks students to identify 10 root-position closed-spacing chords with a chord symbol and write 10 chords in root position from a chord symbol. Includes C clefs. , ). Asks students to identify 10 root-position closed-spacing chords with a chord symbol and write 10 chords in root position from a chord symbol. Includes C clefs. , ). Asks students to identify 10 root-position closed-spacing chords with a chord symbol and write 10 chords in root position from a chord symbol. Includes C clefs. , . ). Treble and bass clefs only. Asks students to identify 20 root-position closed-spacing chords with a chord symbol, write 20 chords in root position from a chord symbol, and identify chords by chord symbol in a short piano-and-voice excerpt.

18 I. Fundamentals Inversion and Figured Bass , ). Asks students to write chord symbols and identify the inversion of closed-position chords, and to realize chords from chord-symbol-and-figured-bass notation. , ) Asks students to write chord symbols and identify the inversion of closed-position chords, and to realize chords from chord-symbol-and-figured-bass notation.

19 I. Fundamentals Roman Numerals , , ). Asks students to create a Roman numeral analysis of a modified Bach chorale. , , ). Asks students to create a Roman numeral analysis of a modified Bach chorale. , , ). Asks students to create a Roman numeral analysis of a modified Bach chorale. , . ). Asks students to identify chord symbols and Roman numerals for open-voicing chords in major and minor keys, realize Roman numerals in closed position, and label the chords of two excerpts with Roman numerals.

20 I. Fundamentals Texture , )

21 I. Fundamentals Chords in SATB style

22 II. Counterpoint and Galant Schemas Introduction to Species Counterpoint , ). Asks students to critique one cantus firmus and write their own. , ). Asks students to critique one cantus firmus and write their own. .

23 II. Counterpoint and Galant Schemas First-Species Counterpoint , ). Asks students to compose a first-species example and do error detection. , ). Asks students to compose a first-species example and do error detection.  chapter.

24 II. Counterpoint and Galant Schemas Second-Species Counterpoint , ). Asks students to compose a second-species example and do error detection. , ). Asks students to compose a second-species example and do error detection. chapter.

25 II. Counterpoint and Galant Schemas Third-Species Counterpoint , ). Asks students to compose a third-species example and do error detection. , ). Asks students to compose a third-species example and do error detection. chapter.

26 II. Counterpoint and Galant Schemas Fourth-Species Counterpoint  chapter.

27 II. Counterpoint and Galant Schemas Fifth-Species Counterpoint  chapter.

28 II. Counterpoint and Galant Schemas Gradus ad Parnassum Exercises
29 II. Counterpoint and Galant Schemas 16th-Century Contrapuntal Style ), and only G and F clefs. . 2 voices. , ,  3 voices. , (excerpt)  4 voices. ,

30 II. Counterpoint and Galant Schemas High Baroque Fugal Exposition explaining how the subject and answer differ, and why. 48 fugues in both books of the Well-Tempered Clavier. An empty second staff is provided for your practice. (Note that the last note in many of the fugue subjects is given without a stem to indicate the pitch without specifying the duration rhythm.) If you know some of these fugues well, you may want to work on ones you’re less familiar with.

31 II. Counterpoint and Galant Schemas Ground Bass

32 II. Counterpoint and Galant Schemas Galant Schemas – Summary
33 II. Counterpoint and Galant Schemas Galant schemas – The Rule of the Octave and Harmonizing the Scale with Sequences

34 II. Counterpoint and Galant Schemas Galant Schemas Begin by playing through these examples from the files provided, preferably in a range of different keys. (Note: you can transpose scores in MuseScore with the Notes menu: Notes/Transpose). See if you can memorize some of these patterns. Test yourself by:

Schemas help to structure music, but they are not really musical pieces in themselves: it takes a lot of fleshing out to get from these skeletons to real music. That being the case, try improvising embellishments of these basic patterns. Start with simple turns, passing notes and the like, then move on to more ambitious changes. When you’re confident with individual cases, try piecing them together, according to their usual position and ordering. Start by using templates like these: ,  , 

35 III. Form Foundational Concepts for Phrase-Level Forms , . ). Asks students to perform motivic analyses on three excerpts: John Williams, “Hedwig’s Theme” from ; Omar Thomas, ; and Maria Szymanowska, , Polonaise in E minor, Trio, mm. 1–8.

36 III. Form The Phrase, Archetypes, and Unique Forms , ). Asks students to compare excerpts to the archetypal sentence, provide form diagrams, and optionally, provide harmonic analysis for any given excerpt. , ). Asks students to identify excerpts that are archetypes (periods, sentences, compond periods) or unique forms, and to diagram those that are archetypes. Optionally, students can harmonically analyze the excerpts.  , ). Students compose four-measure sentences from a given basic idea (melody only). , ). Students select from a bank of basic ideas to compose an 8-measure sentence with full texture (accompaniment and melody).

37 III. Form Hybrid Phrase-Level Forms , ). Provides excerpts and asks students to indicate which term best describes the first and second half of each. Optional harmonic analysis included.  , ). Asks students to identify preferred and plausible alternative interpretations for several excerpts. Also includes band music.  , ). Asks students to compose a phrase-level form given a description. Provides a basic idea bank to give students a start.

38 III. Form Expansion and Contraction at the Phrase Level , ). Asks students to name, segment, and label the form of excerpts and identify the location of any expansion technique(s). Optional harmonic analysis included. , ). More complicated examples than in worksheet 1. Each excerpt is significantly expanded. , ). Asks students to recompose excerpts from worksheet 1 to remove the expanded portion of the archetypal form.

39 III. Form Formal Sections in General
40 III. Form Binary Form , . ) (Starts at 1:07)

, )

41 III. Form Ternary Form , . ). Access and . , . ). Access and .

42 III. Form Sonata Form , . ). Access and

43 III. Form Rondo , . ). Access and .

44 IV. Diatonic Harmony, Tonicization, and Modulation Introduction to Harmony, Cadences, and Phrase Endings , . ). Asks students to part-write and identify cadences using only I (or i) and V chords in major and minor. , . ). Asks students to write and identify cadences using only I (or i) and V chords in major and minor.

45 IV. Diatonic Harmony, Tonicization, and Modulation Strengthening Endings with V⁷ (. , . , ). Asks students to write and resolve V chords and provide analysis of cadences in select passages.

46 IV. Diatonic Harmony, Tonicization, and Modulation Strengthening Endings with Strong Predominants , . ). Includes part writing from Roman numerals and figures, analysis of phrase endings, and a discussion question about a number from

47 IV. Diatonic Harmony, Tonicization, and Modulation Embellishing Tones , . ). Asks students to write embellishing tones in a two-voice texture and label embellishing tones in an excerpt.

48 IV. Diatonic Harmony, Tonicization, and Modulation Strengthening Endings with Cadential 6/4 , . , . of score). Includes unfigured bass exercises and analysis.

49 IV. Diatonic Harmony, Tonicization, and Modulation Prolonging Tonic at Phrase Beginnings with V⁶ and Inverted V⁷s and Inverted V (. , . ). Asks students to write from Roman numerals and figures and complete a guided analysis. .

50 IV. Diatonic Harmony, Tonicization, and Modulation Performing Harmonic Analysis Using the Phrase Model , . ). Asks students to analyze three short excerpts.

51 IV. Diatonic Harmony, Tonicization, and Modulation Prolongation at Phrase Beginnings using the Leading-Tone Chord , . ). Asks students to write from Roman numerals, complete analysis, and realize figured bass.

52 IV. Diatonic Harmony, Tonicization, and Modulation 6/4 Chords as Forms of Prolongation , ). Asks students to review previous concepts, write from Roman numerals, write from figures, and analyze excerpts.

53 IV. Diatonic Harmony, Tonicization, and Modulation Plagal Motion as a Form of Prolongation , ). Asks students to identify bass lines and analyze an excerpt. .

54 IV. Diatonic Harmony, Tonicization, and Modulation La (6̂) in the Bass at Beginnings, Middles, and Endings  [latex](\hat6)[/latex] in the bass at beginnings, middles, and endings (. , . ). Asks students to analyze bass lines, write from figures and Roman numerals, harmonize an unfigured bass, and analyze an excerpt.

55 IV. Diatonic Harmony, Tonicization, and Modulation The Mediant Harmonizing Mi (3̂) in the Bass  [latex](\hat3)[/latex] in the bass at beginnings (. , . ). Asks students to realize unfigured bass, analyze, and do a transcription with analysis.

56 IV. Diatonic Harmony, Tonicization, and Modulation Predominant Seventh Chords , . ). Asks students to realize figured bass and analyze.

57 IV. Diatonic Harmony, Tonicization, and Modulation Tonicization , ). Asks students to identify and write applied V, V , vii , vii , and vii chords with Roman numerals and figures. , . ). Asks students to identify and write applied V, V , vii , and vii  chords with Roman numerals and figures. , . ). No ∅7s or figured bass; all chords in root position. Students identify and write chord symbols in addition to notation.

, ). Asks students to write from Roman numerals and figured bass, write from a longer figured bass, and analyze a complete piece with discussion questions.

58 IV. Diatonic Harmony, Tonicization, and Modulation Extended Tonicization and Modulation to Closely Related Keys , . ). Asks students to review tonicization, identify closely related keys and pivot chords, analyze, and create a modulating progression.

59 V. Chromaticism Modal Mixture , ). Includes spelling, figured bass realization, 4-part voice-leading with Roman numerals, and analysis of musical excerpt.

60 V. Chromaticism Neapolitan 6th (♭II⁶) , ). Asks students to spell ♭II , realize figured bass, write 4-part voice-leading with Roman numerals, and analyze a musical excerpt.

61 V. Chromaticism Augmented Sixth Chords , .) Asks students to spell augmented sixth chords, realize figured bass, write 4-part voice-leading with Roman numerals, and analyze a musical excerpt. , .

62 V. Chromaticism Common-Tone Chords (CTᴼ⁷ & CT⁺⁶) , .) Asks students to spell common tone chords, realize figured bass, complete 4-part voice leading with Roman numerals, and analyze a musical excerpt. .

63 V. Chromaticism Harmonic Elision , .) Asks students to spell chords, realize figured bass, write 4-part voice leading with Roman numerals, and analyze a musical excerpt.

64 V. Chromaticism Chromatic Modulation

65 V. Chromaticism Reinterpreting Diminished Seventh Chords

66 V. Chromaticism Augmented Options chapter and pick one (or more) of the repertoire examples listed in which an analyst has identified the use of an augmented chord.

67 V. Chromaticism Equal Divisions of the Octave

68 V. Chromaticism Chromatic Sequences

69 V. Chromaticism Parallel Chromatic Sequences

70 V. Chromaticism The Omnibus Progression

71 V. Chromaticism Altered and Extended Chords

72 V. Chromaticism Neo-Riemannian Triadic Progressions , . ). Asks students to perform , , , , , and on individual triads, to realize chains of transformations, and find a transformation chain to connect two chords. , . ). Asks students to use the Cube Dance and other Neo-Riemannian cycles to compose a short minimalist piano solo.

73 V. Chromaticism Mediants

74 VI. Jazz Swing Rhythms ; PDFs for , , , , and ). Asks students to make a video with a partner performing idiomatic swing rhythms. , ). Make a recording in which you perform these rhythms. Pick three rhythms that create syncopation in different ways, and explain how the beat is obscured to create syncopation (through ties? rests? etc.).

75 VI. Jazz Chord Symbols , . ). Asks students to identify and write triads and seventh chords with chord symbols. , . ). Asks students to identify and write extended chords with chord symbols.

76 VI. Jazz Jazz Voicings , ). Asks students to identify common voice leading patterns in a voiced jazz texture and to write voiced chord progressions with good voice leading.

77 VI. Jazz ii–V–I Assignments , ). Note that these lead sheets are not public domain and thus cannot be posted here; however, the lead sheets are not difficult to find if you search the internet or ask around. , , ). This functions as a preparatory assignment for the Bebop Composition.

78 VI. Jazz Embellishing Chords , , , and substitutions to create a composition in a bebop style. : Complete instructions + template , : instructions only

, . ). Reviews the spelling of applied V /ii chords and common-tone diminished seventh chords, and asks students to add embellishing chords to chord progressions.

79 VI. Jazz Substitutions , , , and substitutions to create a composition in a bebop style. : Complete instructions + template , : instructions only

, . ). Asks students to substitute chords in ii–V–I progressions and in a phrase from Cole Porter’s “Let’s Do It.”

80 VI. Jazz Chord-Scale Theory

81 VI. Jazz Blues Harmony , ). Asks students to write basic and jazz 12-bar blues progressions, voiced and unvoiced, and to analyze altered blues progressions. , . ). Same as Assignment 1, but simplified: aks students to write basic 12-bar blues progressions, voiced and unvoiced, and to identify unusual chords in altered blues progressions.

82 VI. Jazz Blues Melodies and the Blues Scale , ). Asks students to spell scales and transcribe a melody that uses the blues scale. , ). Video assignment. Asks students to pair off and create videos with call-and-response improvisation. , ). Asks students to synthesize information about blues harmony and blues melody.

83 VII. Popular Music Rhythm and Meter in Pop Music , . ). Asks students to transcribe and identify straight syncopations as well as tresillo rhythms in “Sorry” by Beyoncé (2016).

84 VII. Popular Music Drumbeats , . ). Asks students to identify features of drumbeats and transcribe them.

85 VII. Popular Music Melody and Phrasing , . ). Asks students to identify two-, three-, and four-part phrase organizations within sections.

86 VII. Popular Music Introduction to Form in Popular Music
87 VII. Popular Music AABA Form and Strophic Form , ). Uses to create form diagrams of pop songs in AABA or strophic form.

88 VII. Popular Music Verse-Chorus Form ). Writing assignment that asks students to find songs on their own; identify them as strophic, AABA, or verse-chorus; name the sections of the song; and justify their analyses using form vocabulary. , . ). Uses to create form diagrams of pop songs in verse-chorus form. One straightforward example, and one challenging example.

89 VII. Popular Music Texture in Pop Music , . ). Asks students to access " " by Akaban on and assign each of the song's  to a functional layer. , . ). Asks students to use  to map out the instrumentation and texture of "bad guy" by Billie Eilish (2019).

90 VII. Popular Music Introduction to Harmonic Schemas in Pop Music , . ). Asks students to identify schemas in pop songs from a wide pool of possibilities, including , , , and .

91 VII. Popular Music Blues-Based Schemas , . ). Asks students to identify blues-based schemas, their use, and any variations in three pop songs. , . ). Asks students to identify schemas in pop songs from a wide pool of possibilities, including , , , and .

92 VII. Popular Music Four-Chord Schemas , ). Students must identify which schema is used in a number of songs, each of which clearly presents the schema. , ). Using songs that put slight variations on the schemas discussed in this chapter, asks students to identify schemas and variations on the schemas. , . ). Asks students to identify schemas in pop songs from a wide pool of possibilities, including , , , and .

93 VII. Popular Music Classical Schemas (in a Pop Context) , . ). Asks students to identify the chord progressions of various songs that use classical schemas. , . ). Asks students to identify schemas in pop songs from a wide pool of possibilities, including , , , and .

94 VII. Popular Music Puff Schemas , . ). Asks students to identify the chord progressions of various songs that use the puff schema. , . ). Asks students to identify schemas in pop songs from a wide pool of possibilities, including , , , and .

95 VII. Popular Music Modal Schemas , ). Asks students to aurally identify various modal schemas. , ). Asks students to reharmonize (2016) with modal schemas.

96 VII. Popular Music Pentatonic Harmony

97 VII. Popular Music Fragile, Absent, and Emergent Tonics , . ). Asks students to reharmonize a song that uses the to instead use fragile, absent, or emergent tonic techniques.

98 VIII. 20th- and 21st-Century Techniques Twentieth-Century Rhythmic Techniques

99 VIII. 20th- and 21st-Century Techniques Pitch and Pitch Class , . ). Asks students to translate between pitch class integers, note names, and staff notation.

100 VIII. 20th- and 21st-Century Techniques Intervals in Integer Notation , . ). Asks students to identify interval types (integer notation) within pieces of music.

101 VIII. 20th- and 21st-Century Techniques Pitch-Class Sets, Normal Order, and Transformations , . ). Asks students to find normal form of various sets, calculate transformations of sets, and identify T /I relationships in “Nacht” by Arnold Schoenberg. , . ). Prepares students for the by asking them to find sets and transformations.

102 VIII. 20th- and 21st-Century Techniques Set Class and Prime Form , . ). Prepares students for the set class composition by asking them to find sets and transformations. , . ). Builds on the prep worksheet. Asks students to compose and analyze a 24-bar ABA form piece for unaccompanied solo instrument using set classes.

103 VIII. 20th- and 21st-Century Techniques Interval-Class Vectors , . ). Asks students to calculate interval-class vectors for several sets.

104 VIII. 20th- and 21st-Century Techniques Analyzing with Set Theory (or not!) , . ). , . ). Asks students to justify the given segmentations by explaining what the grouped pitches have in common. , ). Open-ended prompt asks students to use set theory to analyze an excerpt.

105 VIII. 20th- and 21st-Century Techniques Diatonic Modes , . ). Asks students to identify 20 -century modes versus major/minor, circle inflected pitches, and explain how a pitch center is articulated. Music examples are transcribed from the TV show music by Tom Howe, © Accorder Music Publishing, used with permission).

106 VIII. 20th- and 21st-Century Techniques Collections , . ). Asks students to spell one example of each of the collections from this chapter. . Identify   and collections used, along with related techniques. Scores can be found on  and . Both include the original French text and an English translation in the underlay.

107 VIII. 20th- and 21st-Century Techniques Analyzing with Modes, Scales, and Collections . Identify   and collections used, along with related techniques and materials, and linking these (where you consider it appropriate) to possible “meanings” of the work. Scores can be found on  and . Both include the original French text and an English translation in the underlay.

108 IX. Twelve-Tone Music Basics of Twelve-Tone Theory that interests you and write out: in musical notation

109 IX. Twelve-Tone Music Naming Conventions for Rows that interests you and write out the row matrix with all 48 row forms (i.e., with numbers on the grid as shown above) in each of the three ways shown above. (Then choose your favorite method and never do this again!)

110 IX. Twelve-Tone Music Row Properties and pick any row listed in the sections on derived rows (e.g., “6x Same Dyad (interval)” or “4x Same Trichord”).

111 IX. Twelve-Tone Music Analysis Examples – Webern Op. 21 and 24 , Op. 27, using a similar combination of technical row analysis with contextual discussion.

112 IX. Twelve-Tone Music Composing with Twelve Tones

Don’t be shy. Whether or not you think of yourself as “a composer,” it’s always useful to learn by doing, and composition is a great case in point.

113 IX. Twelve-Tone Music History and Context of Serialism
114 X. Orchestration Core Principles of Orchestration (12 Gesänge, no. 6) for two clarinets, dovetailing regularly every quarter or half note.  and .

115 X. Orchestration Subtle Color Changes

116 X. Orchestration Transcription from Piano

117 XI. Rhythm and Meter Notating Rhythm [crosslist]
118 XI. Rhythm and Meter Simple Meter and Time Signatures [crosslist]
119 XI. Rhythm and Meter Compound Meter and Time Signatures [crosslist]
120 XI. Rhythm and Meter Other Rhythmic Essentials [crosslist]
121 XI. Rhythm and Meter Hypermeter

122 XI. Rhythm and Meter Metrical Dissonance , ). Asks students to compose two mini pieces with repeating motives of different lengths, creating grouping dissonance. References the and .

123 XI. Rhythm and Meter Swing Rhythms [crosslist]
124 XI. Rhythm and Meter Rhythm and Meter in Pop Music [crosslist]
125 XI. Rhythm and Meter Drumbeats [crosslist]
126 XI. Rhythm and Meter Twentieth-Century Rhythmic Techniques [crosslist]
127 Ear Training Appendix The Basics of Sight-Singing and Dictation , . ) , ) 

Open Music Theory Copyright © 2023 by Kyle Gullings is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License , except where otherwise noted.

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POSTLUDE: Fundamentals of Music (Review – From “Open Music Theory”)

Chelsey Hamm

Key Takeaways

  • A triad is a three-note chord whose notes can be arranged in thirds. A triad can always be “stacked” so that its notes are either on all lines or all spaces.
  • When a triad is stacked in its most compact form in thirds, the lowest note is called the root, the middle note is called the third, and the highest note is called the fifth.
  • There are four qualities of triad. A major triad's third is major and its fifth is perfect, while a minor triad's third is minor and its fifth is perfect. A diminished triad's third is minor and its fifth is diminished, while an augmented triad's third is major and its fifth is augmented.
  • In chord symbols, major triads are represented with capital letters that correspond to the triad’s root. Minor triads have a lowercase “mi” after the letter, diminished triads have a superscript circle  ( o ), and augmented triads have a   plus sign (+). You may see other abbreviations in other contexts (a more exhaustive list is given in the  Chord Symbols  chapter).
  • Within major and minor keys, triads have particular qualities that correspond to scale degree. These are the same in every major and minor key, which makes memorizing them useful.
  • Triads are identified by their root, quality , and inversion.

The three notes of a triad can always be arranged in thirds. Example 1 shows two triads, each written both melodically and harmonically. The first triad is on three adjacent spaces, while the second triad is on three adjacent lines. A triad can always be “stacked” so that its notes are either on all lines or all spaces. When a triad is stacked in its most compact form (measures 2 and 4 of Example 1 ), it looks like a snowperson (see Example 2 ). Just as a snowperson consists of a bottom, middle, and head, a triad consists of lowest, middle, and upper notes.

https://musescore.com/user/32728834/scores/6839451/embed

Example 1. Two triads, shown melodically and harmonically.

A snowperson with a hat and scarf is shown.

Colloquially, when a triad is stacked in this fashion, we might call this “snowperson form,” but the official term is root position; this is explored more in the chapter titled Inversion and Figured Bass . As Example 3 shows, the lowest note of a triad is called the root, the middle note is called the third (a generic third above the root), and the highest note is called the fifth (a generic fifth above the root).

Triadic Qualities and Listening to Triads

There are four qualities of triad—major, minor, diminished, and augmented—which are determined by the quality of the intervals from the root to the third and the root to the fifth. These qualities are labeled in Example 4 : triad qualities are shown above the staff, the quality of the fifth to the root is given in red to the left of the triad, and the quality of the third is given in blue to the right of the triad. Augmented triads are shown last because the other three types are more common in most classical and popular music.

Note that triads are named for certain important intervals they contain:

  • Major and minor triads are named for the quality of their third. (Both have perfect fifths.)
  • A diminished triad’s fifth is diminished. (Its third is minor.)
  • An augmented triad’s fifth is augmented. (Its third is major.)

Listen carefully to the different qualities of triad in Example 4 . It is common to pair expressive qualities with triads when learning what they sound like. You might think of major triads as sounding “happy,” minor triads as “sad,” diminished triads as “scary,” and augmented triads as having a “fantasy” or “mystical” sound.

https://musescore.com/user/32728834/scores/6839452/embed

Example 4.  Different qualities of triads.

Chord Symbols

Chord symbols for triads include the letter name of the root and an indication of the triad’s quality, and sometimes the pitch class of the bass voice (meaning the lowest note in the chord, not any particular instrument or voice type).

A chord symbol begins with a capital letter (and, if necessary, an accidental) denoting the root of the chord. That letter is followed by information about a chord’s quality.  Open Music Theory  will use the following abbreviations. [1]

  • Major triad: no quality symbol is added
  • Minor triad: lowercase “mi”
  • Diminished triad: superscript circle ( o )
  • Augmented triad: plus sign (+)

For example, the chord symbols C, Cmi, C o , and C+ mean a C major triad, C minor triad, C diminished triad, and C augmented triad, respectively. If the root of the chord has an accidental, include it: for example, B♭mi is the chord symbol for a B♭ minor triad, and F♯ o is the chord symbol for an F♯ diminished triad.

Finally, if a pitch class other than the chord root is the lowest note in the chord, a slash is added, followed by a capital letter denoting the pitch class in the bass. This topic will be explored more in the chapter titled  Inversion and Figured Bass . Example 5 first shows C major and C minor triads with their chord symbols (C and Cmi). It then shows how the chord symbol for the C minor triad changes when a note other than C is on the bottom: when E♭ is the lowest note, the chord symbol is Cmi/E♭, and when G is the lowest note, the symbol is Cmi/G.

https://musescore.com/user/32728834/scores/6839453/embed

Example 5. Four triads are shown with chord symbols.

Triad Qualities in Major and Minor

(\hat1,\ \hat4,

https://musescore.com/user/32728834/scores/8514212/embed

Example 6. Qualities of triads in major keys.

(\hat5)

https://musescore.com/user/32728834/scores/8456477/s/Orwx2V/embed

Example 7.  Qualities of triads built on the minor scale.

Spelling Triads

To build a triad from a chord symbol, you need to be aware of the triad’s root and quality . Complete the following steps:

  • Draw the root on the staff.
  • Draw notes a third and fifth above the root (i.e., draw a snowperson).
  • Think of (or write down) the major key signature of the triad’s root.
  • To spell a major triad, write any accidentals from the key signature that apply to the notes of the triad.
  • For a minor, diminished, or augmented triad, add additional accidentals to alter the chord’s third and/or fifth when appropriate.

Example 8 shows this process for a D major triad:

1. D3. 2. F3 and A3 are added on top of D3. 3. Key sig for D: two sharps. 4. D3, F♯3, and A3.

  • The note D, the chord’s root, is drawn on the staff.
  • A snowperson is drawn—an F and A, the notes a generic third and a fifth above the D.
  • The key signature of D major has been recalled. D major has two sharps, F♯ and C♯.
  • A sharp (♯) has been added to the left of the F, because F♯ is in the key signature of D major. No C♯ was necessary because there is no C in the chord.

Let’s complete this process for an A♭ minor triad (A♭mi), as seen in Example 9 .

1. A♭4. 2. C5 and E5 are on top of the A♭4. 3. Key signature for A♭: four flats. 4. A♭4, C5, E♭5. 5. A♭4, C♭5, E♭5.

  • The note A♭ is written because it is the root of the triad.
  • A snowperson is drawn; in other words, the notes C and E are added because they are a generic third and fifth, respectively, above A♭.
  • The key signature of A♭ major is recalled. A♭ major has four flats: B♭, E♭, A♭, and D♭.
  • E♭ is added, because it is in the key signature of A♭ major. B♭ and D♭ are not needed, because those notes aren’t in an A♭ triad. Now we have successfully spelled an A♭ major triad (A♭, C, and E♭).
  • Minor triads contain a minor third, which is one half step smaller than a major third. Therefore, our final step is to lower the chord’s third (the C) by a half step (to a C♭). Now we have an A♭ minor triad (A♭, C♭, and E♭).

Don’t forget that diminished triads have a minor third and a diminished fifth, meaning you have to lower both the third and the fifth by a half step from a major triad. An augmented triad has a major third and an augmented fifth, so its fifth must be raised by a half step from a major triad.

Identifying Triads, Doubling, and Spacing

Triads are identified according to their root, quality, and inversion; inversion is discussed in the Inversion and Figured Bass chapter, so we will focus on root and quality for now. You can identify triads in three steps:

  • Identify and write its root.
  • Imagine the major key signature of its root.
  • Identify and write its quality.

Example 10  shows a triad for the process of identification.

https://musescore.com/user/32728834/scores/6876492/embed

Example 10. A triad for identification.

To identify this triad:

  • This triad is written in its most compact form, so the root is the lowest note, D.
  • The key of D major has two sharps, F♯ and C♯; we can use this information to identify the quality of the triad.
  • In this triad, the F is sharp, matching the major key signature. Therefore, we can correctly identify this as a D major triad.

Let’s apply the same steps to the triad in Example 11 :

https://musescore.com/user/32728834/scores/6839467/embed

Example 11. A second triad for identification.

  • First, we identify and write its root, which is C♯.
  • Next, we can identify and write its quality. We imagine the key signature of C♯ major, which has seven sharps (every note is sharp).
  • Therefore, E and G would be sharp in the key of C♯ major, but we see that they are both natural in Example 11 . Because both the third and the fifth have been lowered by a half step, this triad is diminished. We can now correctly identify this triad as a C♯ o triad.

If the bottom note of a triad has an imaginary key signature (because there is a double accidental that applies to it), use enharmonic equivalence to respell the triad. The process for this will be the same as that outlined in the last section of Intervals .

Because of the principle of octave equivalence, the doubling or spacing of notes does not affect a triad’s identification. Example 12  shows several different triads and their chord symbols. As you can see, the identification of these triads is the same, regardless of octave doublings ( Example 12a ) or the use of open spacing with wide intervals ( Example 12b ). Doublings and open spacing can be combined, as seen in Example 12c . In order to identify triads with doublings and open spacing, you need to either imagine or write the notes as a triad in closed spacing without any doublings.

https://musescore.com/user/32728834/scores/6839470/embed

Example 12.  Doublings do not affect chord symbols.

  • Introduction to Chords (musictheory.net)
  • Triad Introduction (Robert Hutchinson)
  • What is a Triad? (YouTube)
  • Building Triads (YouTube)
  • Constructing Triads (Columbia)
  • Lead-sheet Symbols (Robert Hutchinson)
  • Triad Identification Practice Tool (teoria)
  • Chord Ear Training (musictheory.net)
  • Triad Ear Training (Tone Dear)
  • Triad Ear Training (teoria)
  • Triad Identification ( .pdf ,  .pdf , .pdf ,  .pdf ,  .pdf ,  .pdf ,  .pdf ,  .pdf )
  • Triad Construction ( .pdf ), pp. 2, 4, 6, 7 ( .pdf ), p. 9 ( .pdf )
  • Triads Assignment #1 ( .pdf , .mcsz )
  • Triads Assignment #2 ( .pdf, .mcsz )
  • Triads Assignment #3 ( .pdf , .mcsz )
  • You may see other abbreviations in other contexts (a more exhaustive list is given in the  Chord Symbols  chapter). ↵
  • Identifying the Key : Discerning the key of a music piece requires more than just the tonic triad or a repeated chord. It's essential to understand the underlying musical markers via the defining scale degrees as overlapping, common chords in closely related keys can create ambiguity.
  • Establishing the Tonal Center : The defining scale degrees in major are [latex](\hat4)[/latex] and [latex](\hat7)[/latex]. In minor, the key and mode is defined by scale degrees [latex](\hat2)[/latex], [latex](\hat4)[/latex], and [latex](\hat6)[/latex].
  • Tritone Resolutions : Diatonic tritones in both major and minor modes exhibit specific melodic voice-leading tendencies.
  • Role of Cadences : Cadences play a pivotal role in establishing the tonal center and the key by emphasizing the key and mode defining scale degrees, omitting neighboring keys from consideration.
  • The Four Cadence Types : Authentic, Deceptive, Half, and Plagal.
  • Guidelines for Better Progressions : Culminating general guidelines are provided in summary to help craft better progressions, emphasizing root progressions, chord usage, and voice leading.

Understanding Keys

How do we identify the key of a tonal music piece? Simply sounding the tonic triad or starting and concluding a musical phrase with an identical chord doesn't unequivocally confirm the key. To truly discern the key and establish a robust tonal center, our mind requires specific musical cues to form a contextual understanding. What are these auditory markers?

Consider the keys that are closely related, positioned adjacent to one another on the Circle of Fifths:

assignment 7 1 writing scale degree triads

It's evident that many chords overlap among these keys. If our aim is to denote C major and we play chords common to G major, ambiguity arises between C and G major. Likewise, playing chords shared between C and F major introduces uncertainty about the key.

Establishing the Tonal Center

To differentiate and firmly set the key, one should play notes exclusive to the desired key, excluding the ones from adjacent keys on the Circle of Fifths. Investigation reveals that in the major mode, scale degrees [latex](\hat4)[/latex] and [latex](\hat7)[/latex] are pivotal for key determination. In minor mode, [latex](\hat4)[/latex] remains crucial, while the leadng-tone [latex](\hat7)[/latex] is derived from the Ascending form. The uniqueness of the minor mode is further reinforced by scale degrees [latex](\hat2)[/latex] and [latex](\hat6)[/latex]. Together, These degree pairs inherently demarcate the diatonic tritone, lending each mode its distinctive sound and attributes.

Cadences are essential here for helping us establish the tonal center and the key, as they not only conclude a harmonic sequence but also distinctly affirm the key by emphasizing the above-discussed defining scale degrees, thereby omitting neighboring keys from the tonal consideration.

In the major mode, the SubDominant and SuperTonic chords, sourced from the SubDominant region, encompass the defining scale degree [latex](\hat4)[/latex]. Meanwhile, chords from the Dominant region embed the leading-tone, scale degree [latex](\hat7)[/latex].

assignment 7 1 writing scale degree triads

Both the Major-Minor (Dominant) Seventh chord and the Leading-Tone diminished triad encompass scale degrees [latex](\hat4)[/latex] and [latex](\hat7)[/latex]. These chords, by possessing both of the defining scale degrees, robustly fortify the tonal center in major mode.

The mechanism in the minor mode parallels the major but offers more variety due to the dual nature of modern minor (i.e. the Ascending and Descending forms). Both the SubDominant and SuperTonic encompass key and mode-defining scale degrees [latex](\hat2)[/latex], [latex](\hat4)[/latex], and [latex](\hat6)[/latex]. It's noteworthy that either minor form, with a variable scale degree [latex](\hat6)[/latex]serve equally well in defining the key. In addition, when in the Ascending form, we get a leading-tone scale degree [latex](\hat7)[/latex], also providing a strong sense of definition.

assignment 7 1 writing scale degree triads

The fully diminished seventh chord, built on the raised scale degree [latex](\hat7)[/latex] from the Ascending (Harmonic) form of minor, and possessing the Natural sixth scale degree, is very potent, encapsulating all minor key and minor mode-defining scale degrees. This chord, akin to the diminished triad, can be thought of as an incomplete, rootless voicing of a ninth chord founded on the Dominant, essentially as a Dominant Seventh with an added flat ninth.

assignment 7 1 writing scale degree triads

We will come back to the fully diminished seventh chord and explore its many additional possibilities in a later chapter.

Tritone and Scale Degree Melodic Tendencies

Earlier, we delved into the tendencies of the pivot tones in minor mode (tendency tones). Expanding on this concept, the diatonic tritones in both major and minor modes, demarcated by key and mode-defining degrees mentioned above, exhibit specific melodic voice-leading propensities. In both major and minor:

assignment 7 1 writing scale degree triads

In Natural (Descending) minor:

assignment 7 1 writing scale degree triads

The Four Cadence Types

There are four primary types of cadences (closes) in tonal music: Authentic , Deceptive , Half , and Plagal .

The Authentic cadence is the most definitive cadence, affirming the key and concluding on the Tonic triad. There are two types: Perfect (top voice melody terminates on the Tonic) or Imperfect (top voice melody concludes on another scale degree).

assignment 7 1 writing scale degree triads

With regard to SATB voice leading, the most conclusive version of the Authentic cadence has the following:

  • Each chord of the Cadence in Root Position
  • The Dominant chord must be a complete chord with the root sounding (i.e. not a diminished triad or fully diminished seventh).
  • Seventh chords, except for the Tonic triad, may be used, provided the voice-leading allows.

The Deceptive cadence seemingly sets up a closure but veers away from the Tonic chord, adding a twist to the listener's expectation. It is often a good way to both reaffirm a tonal center and key, but also provide further momentum in the musical phrase.

assignment 7 1 writing scale degree triads

The Half cadence offers a moment of pause,  culminating on the Dominant chord rather than the Tonic, which then often moves on with a new musical phrase.

assignment 7 1 writing scale degree triads

Finally, we have the Plagal cadence, often termed the "Church" or "Amen" cadence. This cadence omits the Dominant, resulting in a less decisive closure. It is often used as an extension to an ending, after the sounding of an Authentic cadence, the purpose being to provide a more resolute conclusion. This cadence type appears regularly in popular song and contemporary pop, country and folk music.

assignment 7 1 writing scale degree triads

As with the Authentic cadence, we have two forms of Plagal: Perfect and Imperfect , defined the same way as in the Authentic cadence by way of which scale degree is in the top melodic voice.

The Second Inversion (Six-Four) Triad in the Cadence

The Tonic second inversion triad, or the "Six-Four" chord, is pivotal in cadences. In the cadence. this chord is heard as a Dominant 6-4 dissonant suspension rather than a Tonic chord. How is this possible? The Dominant tone (scale degree [latex](\hat5)[/latex) is in the bass and, as we already know, any bass voice will exerts it's overtone series over the sounding notes above. Thus, the chord, by its very nature, is unstable, and it is quite easy and natural for the upper tones to have a strong pull toward neighboring tones that resolve in a root position chord (with the bass tone as the root), in essence, coming into "focus" and resonance with the harmonic series. This is one reason why we must be careful when using the second inversion triad, its inherent instability and its being at odds with the sounding tones.

assignment 7 1 writing scale degree triads

We may use this Cadential 6/4 chord in any Authentic cadence, sounding immediately after any pre-Dominant (SubDominant) chord, before the sounding of the Dominant chord. The effect is powerful and creates, as mentioned above, a sense of prolonging and tension, further elevating the final resolution to the Tonic. While it might be used as part of a Deceptive cadence, due to its power and affect, it is not well suited to such a situation unless very strongly warranted by the musical context.

Guidelines for Better Progressions

Root progressions (in major and minor).

  • Ascending root progressions, which move a fourth upward or a third downward, can occur anytime. However, avoid repetitive usage.
  • Descending progressions, moving a fourth downward or a third upward, should be used when they contribute to an overall upward motion.
  • Adjacent progressions sparingly unless specified otherwise. They aren't prohibited.

Chord Usage (in Major and Minor)

  • Triads in root position are versatile and may be used anytime.
  • Sixth chords enrich voice leading, especially in outer voices, and prepare dissonances. They may be used anytime (except at the start or end of a musical phrase).
  • Use six-four chords cautiously. They're optimal in cadences (i.e. the Cadential 6/4) and with a moving bass-line in stepwise motion. Exercise care in all other situations.
  • Diminished triads give a sense of necessity when introducing a chord, and further may be considered as a Dominant seventh chord.

Seventh Chords

  • Seventh chords are as versatile as triads when prepared and resolved. They're best used where the seventh demands a specific resolution or treatment.
  • Inversions of seventh chords improve voice leading.

The Minor Mode

  • The careful handling of the pivot/tendency tones are essential. Incorporate the pivot tones during root progression harmonic progression outlines.
  • Staying exclusively in one region (Ascending or Descending) can jeopardize the minor mode's character.
  • Transitioning between regions should respect pivot tones (i.e. the four pivot tone guidelines).
  • Triads may require inversions to prepare or resolve dissonances, especially with a pivot tone in bass.
  • The same rules apply to seventh chords.
  • After certain diminished triads, it's generally better to use the Ascending major Dominant chord (V).
  • All diminished triads and their seventh chords have a distinct drive due to their dissonance.
  • The augmented triad's versatility lets it transition between ascending and descending minor scales.

Voice Leading

  • Avoid unmelodic intervals, especially without altered chords.
  • Avoid repetitive tone progressions with the same harmony.
  • Aim for a high and possibly a low point.
  • Use steps and leaps for varied interval sequences, maintaining a mid-range.
  • After a significant leap from the mid-range, try to return to it.
  • If the mid-range is left stepwise, perhaps balance with an octave leap.
  • If repetition is unavoidable, a direction change might help.
  • These guidelines apply primarily to soprano and bass. If applied to middle voices, it elevates the overall smoothness. However, focusing on the outer voices is sufficient for now.

EXAMPLES: Triad Inversions and Seventh Chords in the Minor Mode

If the score above is not displaying properly you may CLICK HERE to open it in a new window.

RWU EXERCISES Major and Minor: Chord Connection with Non-Common Chord Tones and Freer Treatment of Dissonance

Using the template below, please do the following:

  • Consider the general guidelines above when constructing your phrases
  • Each phrase should be planned out with root progression and harmonic regions in mind.
  • Each phrase should have a good mixture of seventh chords and triads.
  • Each phrase should contain one Deceptive cadence somewhere within the phrase and end with an Authentic cadence (perfect or imperfect)
  • Two of your phrases should end with an Authentic cadence which uses the Cadential Six-Four chord
  • Label your cadences with the following text: DC (Deceptive Cadence), IAC (Imperfect Authentic Cadence), PAC (Perfect Authentic Cadence).
  • Exercise #11: (PW-9): Cadences and Root Motions

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Schoenberg Theory of Harmony Examples

Further Reading

  • Schoenberg, Arnold: Theory of Harmony
  • Schoenberg, Arnold: Structural Functions of Harmony

Triads Copyright © 2023 by Chelsey Hamm is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License , except where otherwise noted.

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I. Fundamentals

Chelsey Hamm

Key Takeaways

  • A triad is a three-note chord whose notes can be arranged in thirds. A triad can always be “stacked” so that its notes are either on all lines or all spaces.
  • When a triad is stacked in its most compact form in thirds, the lowest note is called the root , the middle note is called the third, and the highest note is called the fifth.
  • There are four qualities of triad. A major triad's third is major and its fifth is perfect, while a minor triad's third is minor and its fifth is perfect. A diminished triad's third is minor and its fifth is diminished, while an augmented triad's third is major and its fifth is augmented.
  • In chord symbols, major triads are represented with capital letters that correspond to the triad’s root. Minor triads have a lowercase “mi” after the letter, diminished triads have a superscript circle  ( o ), and augmented triads have a   plus sign (+). You may see other abbreviations in other contexts (a more exhaustive list is given in the  Chord Symbols  chapter).
  • Within major and minor keys, triads have particular qualities that correspond to scale degree. These are the same in every major and minor key, which makes memorizing them useful.
  • Triads are identified by their root , quality , and inversion .

The three notes of a triad can always be arranged in thirds. Example 1 shows two triads, each written both melodically and harmonically . The first triad is on three adjacent spaces, while the second triad is on three adjacent lines. A triad can always be “stacked” so that its notes are either on all lines or all spaces. When a triad is stacked in its most compact form (measures 2 and 4 of Example 1 ), it looks like a snowperson (see Example 2 ). Just as a snowperson consists of a bottom, middle, and head, a triad consists of lowest, middle, and upper notes.

https://musescore.com/user/32728834/scores/6839451/embed

Example 1. Two triads, shown melodically and harmonically.

A snowperson with a hat and scarf is shown.

Colloquially, when a triad is stacked in this fashion, we might call this “snowperson form,” but the official term is root position ; this is explored more in the chapter titled Inversion and Figured Bass . As Example 3 shows, the lowest note of a triad is called the root, the middle note is called the third (a generic third above the root), and the highest note is called the fifth (a generic fifth above the root).

Triadic Qualities and Listening to Triads

There are four qualities of triad—major, minor, diminished, and augmented—which are determined by the quality of the intervals from the root to the third and the root to the fifth. These qualities are labeled in Example 4 : triad qualities are shown above the staff, the quality of the fifth to the root is given in red to the left of the triad, and the quality of the third is given in blue to the right of the triad. Augmented triads are shown last because the other three types are more common in most classical and popular music.

Note that triads are named for certain important intervals they contain:

  • Major and minor triads are named for the quality of their third. (Both have perfect fifths.)
  • A diminished triad’s fifth is diminished. (Its third is minor.)
  • An augmented triad’s fifth is augmented. (Its third is major.)

Listen carefully to the different qualities of triad in Example 4 . It is common to pair expressive qualities with triads when learning what they sound like. You might think of major triads as sounding “happy,” minor triads as “sad,” diminished triads as “scary,” and augmented triads as having a “fantasy” or “mystical” sound.

https://musescore.com/user/32728834/scores/6839452/embed

Example 4.  Different qualities of triads.

Chord Symbols

Chord symbols for triads include the letter name of the root and an indication of the triad’s quality, and sometimes the pitch class of the bass voice (meaning the lowest note in the chord, not any particular instrument or voice type).

A chord symbol begins with a capital letter (and, if necessary, an accidental) denoting the root of the chord. That letter is followed by information about a chord’s quality.  Open Music Theory  will use the following abbreviations. [1]

  • Major triad: no quality symbol is added
  • Minor triad: lowercase “mi”
  • Diminished triad: superscript circle ( o )
  • Augmented triad: plus sign (+)

For example, the chord symbols C, Cmi, C o , and C+ mean a C major triad, C minor triad, C diminished triad, and C augmented triad, respectively. If the root of the chord has an accidental, include it: for example, B♭mi is the chord symbol for a B♭ minor triad, and F♯ o is the chord symbol for an F♯ diminished triad.

Finally, if a pitch class other than the chord root is the lowest note in the chord, a slash is added, followed by a capital letter denoting the pitch class in the bass . This topic will be explored more in the chapter titled  Inversion and Figured Bass . Example 5 first shows C major and C minor triads with their chord symbols (C and Cmi). It then shows how the chord symbol for the C minor triad changes when a note other than C is on the bottom: when E♭ is the lowest note, the chord symbol is Cmi/E♭, and when G is the lowest note, the symbol is Cmi/G.

https://musescore.com/user/32728834/scores/6839453/embed

Example 5. Four triads are shown with chord symbols.

Triad Qualities in Major and Minor

Any note of the major scale can be the root of a triad. As you can see in Example 6 , which is in the key of G major, triads built on do , fa , and sol  [latex](\hat1,\ \hat4,[/latex] and [latex]\hat5)[/latex] in major keys are major, shown with the capital letter of the triad’s root. Triads built on re , mi , and la [latex](\hat2,\ \hat3,[/latex] and [latex]\hat6)[/latex] are minor, shown with a lowercase “mi” after the capital letter of the root. Triads built on ti  [latex](\hat7)[/latex] are diminished; this is shown with a superscript “ o ” (which you might know as the degree symbol). These triadic qualities do not change in different keys; in other words, the quality of a triad built on do [latex](\hat1)[/latex] will always be major in any major key.

https://musescore.com/user/32728834/scores/8514212/embed

Example 6. Qualities of triads in major keys.

Example 7 , in the key of G minor, shows the pattern of triad quality for minor scales. Note that this example contains two triads built on sol  [latex](\hat5)[/latex] and two built on  te / ti [latex](\downarrow\hat7[/latex]/[latex]\hat7)[/latex]—one without the raised leading tone (“natural minor”) and one with the raised leading tone (“harmonic minor”). As you can see in Example 7 , triads built on do , fa , and sol [latex](\hat1,\ \hat4,[/latex] and [latex]\hat5)[/latex] (without the raised leading tone) are minor (shown with the lowercase “mi”). Triads built on me , le , and te [latex](\downarrow\hat3,\downarrow\hat6,[/latex] and [latex]\downarrow\hat7)[/latex] (without the raised leading tone) are major. A triad built on sol  [latex](\hat5)[/latex] with the raised leading tone is also major. Triads built on re and ti [latex](\hat2[/latex] and [latex]\hat7)[/latex] (with the raised leading tone) are diminished (shown with the superscript degree symbol).

https://musescore.com/user/32728834/scores/8456477/s/Orwx2V/embed

Example 7.  Qualities of triads built on the minor scale.

Spelling Triads

To build a triad from a chord symbol, you need to be aware of the triad’s root and quality . Complete the following steps:

  • Draw the root on the staff.
  • Draw notes a third and fifth above the root (i.e., draw a snowperson).
  • Think of (or write down) the major key signature of the triad’s root.
  • To spell a major triad, write any accidentals from the key signature that apply to the notes of the triad.
  • For a minor, diminished, or augmented triad, add additional accidentals to alter the chord’s third and/or fifth when appropriate.

Example 8 shows this process for a D major triad:

1. D3. 2. F3 and A3 are added on top of D3. 3. Key sig for D: two sharps. 4. D3, F♯3, and A3.

  • The note D, the chord’s root, is drawn on the staff.
  • A snowperson is drawn—an F and A, the notes a generic third and a fifth above the D.
  • The key signature of D major has been recalled. D major has two sharps, F♯ and C♯.
  • A sharp (♯) has been added to the left of the F, because F♯ is in the key signature of D major. No C♯ was necessary because there is no C in the chord.

Let’s complete this process for an A♭ minor triad (A♭mi), as seen in Example 9 .

1. A♭4. 2. C5 and E5 are on top of the A♭4. 3. Key signature for A♭: four flats. 4. A♭4, C5, E♭5. 5. A♭4, C♭5, E♭5.

  • The note A♭ is written because it is the root of the triad.
  • A snowperson is drawn; in other words, the notes C and E are added because they are a generic third and fifth, respectively, above A♭.
  • The key signature of A♭ major is recalled. A♭ major has four flats: B♭, E♭, A♭, and D♭.
  • E♭ is added, because it is in the key signature of A♭ major. B♭ and D♭ are not needed, because those notes aren’t in an A♭ triad. Now we have successfully spelled an A♭ major triad (A♭, C, and E♭).
  • Minor triads contain a minor third, which is one half step smaller than a major third. Therefore, our final step is to lower the chord’s third (the C) by a half step (to a C♭). Now we have an A♭ minor triad (A♭, C♭, and E♭).

Don’t forget that diminished triads have a minor third and a diminished fifth, meaning you have to lower both the third and the fifth by a half step from a major triad. An augmented triad has a major third and an augmented fifth, so its fifth must be raised by a half step from a major triad.

Identifying Triads, Doubling, and Spacing

Triads are identified according to their root, quality, and inversion; inversion is discussed in the Inversion and Figured Bass chapter, so we will focus on root and quality for now. You can identify triads in three steps:

  • Identify and write its root.
  • Imagine the major key signature of its root.
  • Identify and write its quality.

Example 10  shows a triad for the process of identification.

https://musescore.com/user/32728834/scores/6876492/embed

Example 10. A triad for identification.

To identify this triad:

  • This triad is written in its most compact form, so the root is the lowest note, D.
  • The key of D major has two sharps, F♯ and C♯; we can use this information to identify the quality of the triad.
  • In this triad, the F is sharp, matching the major key signature. Therefore, we can correctly identify this as a D major triad.

Let’s apply the same steps to the triad in Example 11 :

https://musescore.com/user/32728834/scores/6839467/embed

Example 11. A second triad for identification.

  • First, we identify and write its root, which is C♯.
  • Next, we can identify and write its quality. We imagine the key signature of C♯ major, which has seven sharps (every note is sharp).
  • Therefore, E and G would be sharp in the key of C♯ major, but we see that they are both natural in Example 11 . Because both the third and the fifth have been lowered by a half step, this triad is diminished. We can now correctly identify this triad as a C♯ o triad.

If the bottom note of a triad has an imaginary key signature (because there is a double accidental that applies to it), use enharmonic equivalence to respell the triad. The process for this will be the same as that outlined in the last section of Intervals .

Because of the principle of  octave equivalence , the doubling or spacing of notes does not affect a triad’s identification. Example 12  shows several different triads and their chord symbols. As you can see, the identification of these triads is the same, regardless of octave doublings ( Example 12a ) or the use of  open spacing with wide intervals ( Example 12b ). Doublings and open spacing can be combined, as seen in Example 12c . In order to identify triads with doublings and open spacing, you need to either imagine or write the notes as a triad in closed spacing without any doublings.

https://musescore.com/user/32728834/scores/6839470/embed

Example 12.  Doublings do not affect chord symbols.

  • Introduction to Chords (musictheory.net)
  • Triad Introduction (Robert Hutchinson)
  • What is a Triad? (YouTube)
  • Building Triads (YouTube)
  • Constructing Triads (Columbia)
  • Lead-sheet Symbols (Robert Hutchinson)
  • Triad Identification Practice Tool (teoria)
  • Chord Ear Training (musictheory.net)
  • Triad Ear Training (Tone Dear)
  • Triad Ear Training (teoria)
  • Triad Identification ( .pdf ,  .pdf , .pdf ,  .pdf ,  .pdf ,  .pdf ,  .pdf ,  .pdf )
  • Triad Construction ( .pdf ), pp. 2, 4, 6, 7 ( .pdf ), p. 9 ( .pdf )
  • Triads Assignment #1 ( .pdf , .mcsz )
  • Triads Assignment #2 ( .pdf, .mcsz )
  • Triads Assignment #3 ( .pdf , .mcsz )
  • You may see other abbreviations in other contexts (a more exhaustive list is given in the  Chord Symbols  chapter). ↵

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A term that summarizes the quality of the third, fifth, and seventh (if applicable) above the root of the chord. Common chord qualities are major, minor, diminished, half-diminished, dominant, and augmented.

  • where it came from: not only Schoenberg, but also Hauer and others
  • what it’s "really" about: a new world order, and if so an equalising or totalising one?
  • tonal precedents in Bach and Haydn, and "tonal tone rows" in (for example) Alban Berg, Hale Smith, and Benjamin Britten
  • "total" or "integral" serialism in (for example) Ruth Crawford Seeger, Milton Babbitt, Olivier Messiaen, Karlheinz Stockhausen, Pierre Boulez.

Why Serialism? What’s the Attraction?

Some grand narratives of 20 th -century music cast atonality as a logical consequence of a historical trend toward ever more chromaticism, and serialism as a matter of creating a radically different kind of structure out of the total chromatic. It would appear to achieve that end, at least for composers who joined Schoenberg in viewing it as a “method of composing with twelve tones which are related only with one another” (1950, 107)—contrast that with the fundamentally hierarchical tonal system. It may not be coincidental that it emerged in interwar Europe, when there may well have been a desire to start anew.

Equal tones? A new world order? Maybe, but the method has served a wide range of composers with correspondingly diverse aims, so it’s not so straightforward to summarize. There’s also a totalizing angle here that’s rather less utopian. Schoenberg is famously alleged to have described "his" discovery as one "which will ensure the supremacy of German music for the next hundred years" (qtd. in Stuckenschmidt 1977, 277). Schoenberg may or may not have actually said this, but Boulez definitely did later describe every composer to have remained "outside the serial experiments" since their discovery as "useless" ("Schönberg est mort," Score , 1952, reproduced in Notes of an Apprenticeship , 1968, 274).

A Series of Precedents?

There is a great deal of precedent for general forms of musical thinking pertinent to serial technique, from simple melodic inversion to furiously complex crab canons, and certain works like Bach’s Art of Fugue are notable partly for the strictness and comprehensiveness of design in general, and the healthy dose of "mirror writing" in particular.

In these cases, the mirror is usually "horizontal," giving versions of the twelve-tone technique’s I-form. The R-form of retrograde symmetry (given by a "vertical" mirror, if you will) is a primarily 20 th -century concern, serial and otherwise. Non-serial 20 th -century examples include a great deal of Bartók, the prelude/postlude pair in Hindemith's Ludus Tonalis , and Britten's Cantata Academica  mvt. 2 (tellingly titled Alla rovescio ). There are earlier examples, such as the Menuet al Roverso from Haydn’s Symphony no. 47 in G, but they are very rare.

There are (equally rare and also rather dubious) cases of tonal works that are said to exhibit the specifically twelve-tone practice of rotating through all the pitches. Often-cited examples include the choice of keys in the development of the finale to Mozart’s Symphony no. 40.  

Conversely, there are 20 th -century composers who wrote music that is serially organized in the sense that we would recognize, but in such a way as to embrace the sound world of an extended tonality ( Example 1 ). Examples of this include:

  • Alban Berg's  Violin Concerto , with its row centered on triads and fifths.
  • Hale Smith's Evocation , which the composer notes to have an "affinity" with jazz. Among the "jazzy" and/or "tonal" elements of this piece is the foregrounding of set [0,2,7], which the scholar Horace J. Maxile Jr. links to "the quartal harmonic and improvisational stylings of bop and post-bop schools" (2004, 125).
  • Benjamin Britten’s  Turn of the Screw , which adopts a similarly quartal structure in the row from which both the theme and tonal centers for the acts are serially organized.

Example 1. Tonal Tone Rows by FourScoreAndMore

Speaking of "tonal serialism," the trappings of tonality are not limited to pitch: what composers do with the other parameters is equally important. It's often observed (usually critically) that Schoenberg's early serial works may have used the twelve-tone technique in the pitch domain, but still adopted tonal forms, rhythms, and idioms such as waltzes.

The Emergence and Evolution of the Twelve-Tone Technique

Schoenberg is intimately associated with the twelve-tone technique and was quite content to describe it as "his" discovery (as above), though many people arrived at the idea largely independently around the same time, notably including Josef Matthias Hauer and Herbert Eimert. Schoenberg famously discussed relevant considerations like the "emancipation of the dissonance" early on, but his thoughts on serialism only emerged later, after those two others.

Hauer’s theory as expressed in his Zwölftontechnik: Die Lehre von den Tropen (1926) is notable for its early formalization of the twelve-tone technique and for organizing the millions of possibilities into 44 "tropes" (types) of tone rows in four groups based on symmetries among the unordered hexachords (with the prefixes Poly-, Mono-, Endo-, and Exo-).

After the first generation of "classic" serialists, we start to see a wider range of serial practices emerge, including a move toward "integral" or "total" serialism, which applies serial technique to parameters other than pitch, particularly rhythm, dynamics, and articulation. I say "after," but Ruth Crawford Seeger was already writing what later came to be known as integral or total serialism as early as c. 1930.

The most frequently cited examples came later, in a burst around 1950:

  • Milton Babbitt: Three Compositions for Piano (1947)
  • Olivier Messiaen: Mode de valeurs et dʼintensités for piano (1949–50)
  • Karlheinz Stockhausen: Kreuzspiel  for oboe, bass clarinet, piano, and two percussion (1951)
  • Pierre Boulez: Structures 1 for two pianos (1952)

There were also signs of this mentality already in those "classic" early works. For instance, in the first movement of Webern’s Symphonie Op.21 ( discussed further in this chapter ), the exposition sees pitch classes fixed in specific registers, and his Op. 27 Variations for Piano has pitches, durations, and dynamics all aligned (for instance, B and G♯ are always eight notes, legato, and forte).

  • A  beat is a pulse in music that regularly recurs.
  • Simple meters are meters in which the beat divides into two, and then further subdivides into four.
  • Duple meters have groupings of two beats, triple meters have groupings of three beats, and quadruple meters have groupings of four beats.
  • There are different conducting patterns for duple, triple, and quadruple meters.
  • A measure is equivalent to one group of beats (duple, triple, or quadruple). Measures are separated by bar lines .
  • Time signatures in simple meters express two things: how many beats are contained in each measure (the top number), and the beat unit (the bottom number), which refers to the note value that is the beat.
  • A beam visually connects notes together, grouping them by beat. Beaming changes in different time signatures.
  • Notes below the middle line on a staff are up-stemmed, while notes above the middle line on a staff are down-stemmed. Flag direction works similarly.

Chapter Playlist

In  Rhythmic and Rest Values , we discussed the different rhythmic values of notes and rests . Musicians organize rhythmic values into various meters , which are—broadly speaking—formed as the result of recurrent patterns of accents in musical performances.

Terminology

Listen to the following performance by the contemporary musical group Postmodern Jukebox ( Example 1 ). They are performing a cover of the song "Wannabe" by the Spice Girls (originally released in 1996). Beginning at 0:11, it is easy to tap or clap along to this recording. What you are tapping along to is called a beat —a pulse in music that regularly recurs.

Example 1. A cover of "Wannabe" performed by Postmodern Jukebox; listen starting at 0:11.

Example 1 is in a simple meter : a meter in which the beat divides into two, and then further subdivides into four. You can feel this yourself by tapping your beat twice as fast; you might also think of this as dividing your beat into two smaller beats.

Different numbers of beats group into different meters. Duple meters contain beats that are grouped into twos, while Triple meters contain beats that are grouped into threes, and Quadruple meters contain beats that are grouped into fours.

Listening to Simple Meters

Let's listen to examples of simple duple, simple triple, and simple quadruple meters. A simple duple meter contains two beats, each of which divides into two (and further subdivides into four). "The Stars and Stripes Forever" (1896), written by John Philip Sousa, is in a simple duple meter.

Listen to Example 2 , and tap along, feeling how the beats group into sets of two:

Example 2. "The Stars and Stripes Forever" played by the Dallas Winds.

A simple triple meter contains three beats, each of which divides into two (and further subdivides into four). Wolfgang Amadeus Mozart's "Minuet in F major," K.2 (1774) is in a simple triple meter. Listen to Example 3 , and tap along, feeling how the beats group into sets of three:

Example 3. Mozart's "Minuet in F major," played by Alan Huckleberry.

Finally, a simple quadruple meter contains four beats, each of which divides into two (and further subdivides into four). The song "Cake" (2017) by Flo Rida is in a simple quadruple meter. Listen to Example 4 starting at 0:45 and tap along, feeling how the beats group into sets of four:

Example 4. "Cake" by Flo Rida; listen starting at 0:45.

As you can hear and feel (by tapping along), musical compositions in a wide variety of styles are governed by meter. You might practice identifying the meters of some of your favorite songs or musical compositions as simple duple, simple triple, or simple quadruple; listening carefully and tapping along is the best way to do this. Note that simple quadruple meters feel similar to simple duple meters, since four beats can be divided into two groups of two beats. It may not always be immediately apparent if a work is in a simple duple or simple quadruple meter by listening alone.

Conducting Patterns

If you have ever sung in a choir or played an instrument in a band or orchestra, then you have likely had experience with a conductor . Conductors have many jobs. One of these jobs is to provide conducting patterns for the musicians in their choir, band, or orchestra. Conducting patterns serve two main purposes: first, they establish a tempo, and second, they establish a meter.

The three most common conducting patterns outline duple, triple, and quadruple meters. Duple meters are conducted with a downward/outward motion (step 1), followed by an upward motion (step 2), as seen in Example 5 . Triple meters are conducted with a downward motion (step 1), an outward motion (step 2), and an upward motion (step 3), as seen in Example 6 . Quadruple meters are conducted with a downward motion (step 1), an inward motion (step 2), an outward motion (step 3), and an upward motion (step 4), as seen in Example 7 :

Beat 1 of each of these measures is considered a downbeat . A downbeat is conducted with a downward motion, and you may hear and feel that it has more "weight" or "heaviness" then the other beats. An upbeat is the last beat of any measure. Upbeats are conducted with an upward motion, and you may feel and hear that they are anticipatory in nature.

Example 8 shows a short video demonstrating these three conducting patterns:

Example 8. Dr. John Lopez (Texas A&M University, Kingsville) demonstrates duple, triple, and quadruple conducting patterns.

You can practice these conducting patterns while listening to Example 2 (duple), Example 3 (triple), and Example 4 (quadruple) above.

Time Signatures

In Western musical notation, beat groupings (duple, triple, quadruple, etc.) are shown using bar lines, which separate music into measures (also called bars), as shown in Example 9 . Each measure is equivalent to one beat grouping.

A measure is bracketed and a bar line is labeled

In simple meters, time signatures (also called meter signatures) express two things: 1) how many beats are contained in each measure, and 2) the beat unit (which note value gets the beat). Time signatures are expressed by two numbers, one above the other, placed after the clef ( Example 10 ).

A percussion clef, 4/4 time signature, and four quarter notes on a staff

A time signature is not a fraction, though it may look like one; note that there is no line between the two numbers. In simple meters, the top number of a time signature represents the number of beats in each measure, while the bottom number represents the beat unit.

In simple meters, the top number is always 2, 3, or 4, corresponding to duple, triple, or quadruple beat patterns. The bottom number is usually one of the following:

  • 2, which means the half note gets the beat.
  • 4, which means the quarter note gets the beat.
  • 8, which means the eighth note gets the beat.

You may also see the bottom number 16 (the sixteenth note gets the beat) or 1 (the whole note gets the beat) in simple meter time signatures.

There are two additional simple meter time signatures, which are 𝄴  (common time) and  𝄵 (cut time). Common time is the equivalent of [latex]\mathbf{^4_4}[/latex] (simple quadruple—four beats per measure), while cut time is the equivalent of [latex]\mathbf{^2_2}[/latex] (simple duple—two beats per measure).

Counting in Simple Meter

Counting rhythms aloud is important for musical performance; as a singer or instrumentalist, you must be able to perform rhythms that are written in Western musical notation. Conducting while counting rhythms is highly recommended and will help you to keep a steady tempo. Please note that your instructor may employ a different counting system.  Open Music Theory privileges American traditional counting, but this is not the only method.

Example 11 shows a rhythm in a [latex]\mathbf{^4_4}[/latex] time signature, which is a simple quadruple meter. This time signature means that there are four beats per measure (the top 4) and that the quarter note gets the beat (the bottom 4).

  • In each measure, each quarter note gets a count, expressed with Arabic numerals —"1, 2, 3, 4."
  • When notes last longer than one beat (such as a half or whole note in this example), the count is held over multiple beats. Beats that are not counted out loud are written in parentheses.
  • When the beat in a simple meter is divided into two, the divisions are counted aloud with the syllable “and,” which is usually notated with the plus sign (+). So, if the quarter note gets the beat, the second eighth note in each beat would be counted as “and.”
  • Further subdivisions at the sixteenth-note level are counted as “e” (pronounced as a long vowel, as in the word “see”) and “a” (pronounced “uh”). At the thirty-second-note level, further subdivisions add the syllable “ta” in between each of the previous syllables.

Example 11. Rhythm in 4/4 time.

Simple duple meters have only two beats and simple triple meters have only three, but the subdivisions are counted the same way ( Example 12 ).

Example 12. Simple duple meters have two beats per measure; simple triple meters have three.

Like with notes that last for two or more beats, beats that are not articulated because of rests, ties, and dots are also not counted out loud. These beats are usually written in parentheses, as shown in Example 13 :

Example 13. Beats that are not counted out loud are put in parentheses.

notation

When an example begins with a pickup note ( anacrusis ), your count will not begin on "1," as shown in Example 14 . An anacrusis is counted as the last note(s) of an imaginary measure. When a work begins with an anacrusis, the last measure is usually shortened by the length of the anacrusis. This is demonstrated in Example 14 : the anacrusis is one quarter note in length, so the last measure is only three beats long (i.e., it is missing one quarter note).

Counting with Beat Units of 2, 8, and 16

In simple meters with other beat units (shown in the bottom number of the time signature), the same counting patterns are used for the beats and subdivisions, but they correspond to different note values. Example 15 shows a rhythm with a [latex]\mathbf{^4_4}[/latex] time signature, followed by the same rhythms with different beat units. Each of these rhythms sounds the same and is counted the same. They are also all considered simple quadruple meters. The difference in each example is the bottom number of the time signature—which note gets the beat unit (quarter, half, eighth, or sixteenth).

Example 15. The same counted rhythm, as written in a meter with (a) a quarter-note beat, (b) a half-note beat, (c) an eighth-note beat, and (d) a sixteenth-note beat.

Beaming, Stems, Flags, and Multi-Measure Rests

Beams connect notes together by beat. As Example 16 shows, this means that beaming changes depending on the time signature. In the first measure, sixteenth notes are grouped into sets of four, because four sixteenth notes in a [latex]\mathbf{^4_4}[/latex] time signature are equivalent to one beat. In the second measure, however, sixteenth notes are grouped into sets of two, because one beat in a [latex]\mathbf{^4_8}[/latex] time signature is only equivalent to two sixteenth notes.

Example 16. Beaming in two different meters.

A series of notes in 3/4 time appear that are not beamed.

Note that in vocal music, beaming is sometimes only used to connect notes sung on the same syllable. If you are accustomed to music without beaming, you may need to pay special attention to beaming conventions until you have mastered them. In the top staff of  Example 17 , the eighth notes are not grouped with beams, making it difficult to see where beats 2 and 3 in the triple meter begin. The bottom staff shows that if we re-notate the rhythm so that the notes that fall within the same beat are grouped together with a beam, it makes the music much easier to read. Note that these two rhythms sound the same, even though they are beamed differently. The ability to group events according to a hierarchy is an important part of human perception, which is why beaming helps us visually parse notated musical rhythms—the metrical structure provides a hierarchy that we show using notational tools like beaming.

Example 18 shows several different note values beamed together to show the beat unit. The first line does not require beams because quarter notes are never beamed, but all subsequent lines do need beams to clarify beats.

notation, shows eighth, sixteenth, and mixed note values beamed together to show a quarter-note beat unit

The second measure of Example 19  shows that when notes are grouped together with beams, the stem direction is determined by the note farthest from the middle line. On beat 1 of measure 2, this note is E 5 , which is above the middle line, so down-stems are used. Beat 2 uses up-stems because the note farthest from the middle line is the E 4 below it.

Flagging is determined by stem direction

Flagging is determined by stem direction ( Example 20 ). Notes above the middle line receive a down-stem (on the left) and an inward-facing flag (facing right). Notes below the middle line receive an up-stem (on the right) and an outward-facing flag (facing left). Notes on the middle line can be flagged in either direction, usually depending on the contour of the musical line.

Partial beams can be used for mixed rhythmic groupings, as shown in Example 21 . Sometimes these beaming conventions look strange to students who have had less experience with reading beamed music. If this is the case, you will want to pay special attention to how the notes in Example 21 are beamed.

Example 21. Partial beams are used for some mixed rhythmic groupings.

A filled-in rectangle with the number "4" appears, indicated a rest that will last for four measures

Rests that last for multiple full measures are sometimes notated as seen in Example 22 . This example indicates that the musician is to rest for a duration of four full measures.

A Note on Ties

We have already encountered ties that can be used to extend a note over a measure line. But ties can also be used like beams to clarify the metrical structure within a measure. In the first measure of Example 23 , beat 2 begins in the middle of the eighth note, making it difficult to see the metrical structure. Breaking the eighth note into two sixteenth notes connected by a tie, as shown in the second measure, clearly shows the beginning of beat 2.

notation of a rhythm without a tie, obscuring beat unit; then, the same rhythm with a tie, clarifying beat unit

  • Simple Meter Tutorial (musictheory.net)
  • Video Tutorial on Simple Meter, Beats, and Beaming (YouTube)
  • Conducting Patterns (YouTube)
  • Simple Meter Time Signatures (liveabout.com)
  • Video Tutorial on Counting Simple Meters (One Minute Music Lessons)
  • Simple Meter Counting (YouTube)
  • Beaming Rules (Music Notes Now)
  • Beaming Examples (Dr. Sebastian Anthony Birch)
  • Time Signatures and Rhythms ( .pdf )
  • Terminology, Bar Lines, Fill-in-rhythms, Re-beaming ( .pdf )
  • Meters, Time Signatures, Re-beaming ( website )
  • Bar Lines, Time Signatures, Counting ( .pdf )
  • Time Signatures, Re-beaming, p. 4 ( .pdf )
  • Fill-in-rhythms ( .pdf )
  • Time Signatures ( .pdf , .pdf )
  • Bar Lines ( .pdf ,  .pdf ,  .pdf )
  • Notes, Rests, Bar Lines ( .pdf , .docx )
  • Re-beaming ( .pdf , .musx )

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At the end of each chapter, you may find Assignments linked for that chapter. Those same assignments are also gathered here in a single table for convenient browsing.

Use arrows in the cells on the header row to sort the table alphabetically. Use the "Search" function to filter by the words in your search.

Last updated: [table “65” not found /]

Book order Part Chapter Assignments
1 I. Fundamentals Introduction to Western Musical Notation , . ); Rubric (. , . )

2 I. Fundamentals Notation of Notes, Clefs, and Ledger Lines , . )

3 I. Fundamentals Reading Clefs , )

, )

4 I. Fundamentals The Keyboard and the Grand Staff , )

, )

, )

, )

5 I. Fundamentals Half Steps, Whole Steps, and Accidentals , )

, )

, )

, )

, )

, )

6 I. Fundamentals American Standard Pitch Notation (ASPN) , )

7 I. Fundamentals Other Aspects of Notation , )

8 I. Fundamentals Notating Rhythm , )

, )

9 I. Fundamentals Simple Meter and Time Signatures , )

, )

10 I. Fundamentals Compound Meter and Time Signatures , )

, )

11 I. Fundamentals Other Rhythmic Essentials , )

12 I. Fundamentals Major Scales, Scale Degrees, and Key Signatures , )

, )

13 I. Fundamentals Minor Scales, Scale Degrees, and Key Signatures , )

, )

14 I. Fundamentals Introduction to Diatonic Modes and the Chromatic “Scale” ,  )

,  )

,  )

,  )

15 I. Fundamentals Intervals , )

, )

, )

16 I. Fundamentals Triads , )

)

, )

17 I. Fundamentals Seventh Chords , )

, )

, )

18 I. Fundamentals Inversion and Figured Bass , )

, )

19 I. Fundamentals Roman Numerals and SATB Chord Construction
20 I. Fundamentals Texture , )

21 II. Counterpoint and Galant Schemas Introduction to Species Counterpoint , ). Asks students to critique one cantus firmus and write their own.

, ). Asks students to critique one cantus firmus and write their own.

.

22 II. Counterpoint and Galant Schemas First-Species Counterpoint , ). Asks students to compose a first-species example and do error detection.

, ). Asks students to compose a first-species example and do error detection.

 chapter.

23 II. Counterpoint and Galant Schemas Second-Species Counterpoint , ). Asks students to compose a second-species example and do error detection.

, ). Asks students to compose a second-species example and do error detection.

chapter.

24 II. Counterpoint and Galant Schemas Third-Species Counterpoint , ). Asks students to compose a third-species example and do error detection.

, ). Asks students to compose a third-species example and do error detection.

chapter.

25 II. Counterpoint and Galant Schemas Fourth-Species Counterpoint  chapter.

26 II. Counterpoint and Galant Schemas Fifth-Species Counterpoint  chapter.

27 II. Counterpoint and Galant Schemas Gradus ad Parnassum Exercises
28 II. Counterpoint and Galant Schemas 16th-Century Contrapuntal Style ), and only G and F clefs. . 2 voices. ,

,

 3 voices. ,

(excerpt)  4 voices. ,

29 II. Counterpoint and Galant Schemas High Baroque Fugal Exposition explaining how the subject and answer differ, and why.

48 fugues in both books of the Well-Tempered Clavier. An empty second staff is provided for your practice. (Note that the last note in many of the fugue subjects is given without a stem to indicate the pitch without specifying the duration rhythm.) If you know some of these fugues well, you may want to work on ones you’re less familiar with.

30 II. Counterpoint and Galant Schemas Ground Bass

31 II. Counterpoint and Galant Schemas Galant Schemas – Summary
32 II. Counterpoint and Galant Schemas Galant schemas – The Rule of the Octave and Harmonizing the Scale with Sequences

33 II. Counterpoint and Galant Schemas Galant Schemas Begin by playing through these examples from the files provided, preferably in a range of different keys. (Note: you can transpose scores in MuseScore with the Notes menu: Notes/Transpose).

See if you can memorize some of these patterns. Test yourself by:

Schemas help to structure music, but they are not really musical pieces in themselves: it takes a lot of fleshing out to get from these skeletons to real music. That being the case, try improvising embellishments of these basic patterns. Start with simple turns, passing notes and the like, then move on to more ambitious changes.

When you’re confident with individual cases, try piecing them together, according to their usual position and ordering. Start by using templates like these:

,  , 

34 III. Form Foundational Concepts for Phrase-Level Forms

35 III. Form The Phrase, Archetypes, and Unique Forms , ). Asks students to compare excerpts to the archetypal sentence, provide form diagrams, and optionally, provide harmonic analysis for any given excerpt.

, ). Asks students to identify excerpts that are archetypes (periods, sentences, compond periods) or unique forms, and to diagram those that are archetypes. Optionally, students can harmonically analyze the excerpts. 

, ). Students compose four-measure sentences from a given basic idea (melody only).

, ). Students select from a bank of basic ideas to compose an 8-measure sentence with full texture (accompaniment and melody).

36 III. Form Hybrid Phrase-Level Forms , ). Provides excerpts and asks students to indicate which term best describes the first and second half of each. Optional harmonic analysis included. 

, ). Asks students to identify preferred and plausible alternative interpretations for several excerpts. Also includes band music. 

, ). Asks students to compose a phrase-level form given a description. Provides a basic idea bank to give students a start.

37 III. Form Expansion and Contraction at the Phrase Level , ). Asks students to name, segment, and label the form of excerpts and identify the location of any expansion technique(s). Optional harmonic analysis included.

, ). More complicated examples than in worksheet 1. Each excerpt is significantly expanded.

, ). Asks students to recompose excerpts from worksheet 1 to remove the expanded portion of the archetypal form.

38 III. Form Formal Sections in General
39 III. Form Binary Form , . ). (Starts at 1:07)

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40 III. Form Ternary Form , . ). Access and .

, . ). Access and .

41 III. Form Sonata Form , . ). Access and

42 III. Form Rondo , . ). Access and .

43 IV. Diatonic Harmony, Tonicization, and Modulation Introduction to Harmony, Cadences, and Phrase Endings , . ). Asks students to write and identify cadences using only I (or i) and V chords in major and minor.

44 IV. Diatonic Harmony, Tonicization, and Modulation Strengthening Endings with V7 (. , . , ). Asks students to write and resolve V chords and provide analysis of cadences in select passages.

45 IV. Diatonic Harmony, Tonicization, and Modulation Strengthening Endings with Strong Predominants , . ). Includes part writing from Roman numerals and figures, analysis of phrase endings, and a discussion question about a number from

46 IV. Diatonic Harmony, Tonicization, and Modulation Embellishing Tones , . ). Asks students to write embellishing tones in a two-voice texture and label embellishing tones in an excerpt.

47 IV. Diatonic Harmony, Tonicization, and Modulation Strengthening Endings with Cadential 6/4 , . , . of score). Includes unfigured bass exercises and analysis.

48 IV. Diatonic Harmony, Tonicization, and Modulation Prolonging Tonic at Phrase Beginnings with V6 and Inverted V7s
49 IV. Diatonic Harmony, Tonicization, and Modulation Performing Harmonic Analysis Using the Phrase Model , . ). Asks students to analyze three short excerpts.

50 IV. Diatonic Harmony, Tonicization, and Modulation Prolongation at Phrase Beginnings using the Leading-Tone Chord , . ). Asks students to write from Roman numerals, complete analysis, and realize figured bass.

51 IV. Diatonic Harmony, Tonicization, and Modulation 6/4 Chords as Forms of Prolongation , . ). Asks students to review previous concepts, write from Roman numerals, write from figures, and analyze excerpts.

52 IV. Diatonic Harmony, Tonicization, and Modulation Plagal Motion as a Form of Prolongation , . ). Asks students to identify bass lines and analyze an excerpt. .

53 IV. Diatonic Harmony, Tonicization, and Modulation La (Scale Degree 6) in the Bass at Beginnings, Middles, and Endings  [latex](\hat6)[/latex] in the bass at beginnings, middles, and endings (. , . ). Asks students to analyze bass lines, write from figures and Roman numerals, harmonize an unfigured bass, and analyze an excerpt.

54 IV. Diatonic Harmony, Tonicization, and Modulation The Mediant Harmonizing Mi (Scale Degree 3) in the Bass  [latex](\hat3)[/latex] in the bass at beginnings (. , . ). Asks students to realize unfigured bass, analyze, and do a transcription with analysis.

55 IV. Diatonic Harmony, Tonicization, and Modulation Predominant Seventh Chords , . ). Asks students to realize figured bass and analyze.

56 IV. Diatonic Harmony, Tonicization, and Modulation Tonicization , ). Asks students to identify and write applied V, V , vii , vii , and vii chords with Roman numerals and figures.

, . ). Asks students to identify and write applied V, V , vii , and vii  chords with Roman numerals and figures.

, . ). No ∅7s or figured bass; all chords in root position. Students identify and write chord symbols in addition to notation.

, ). Asks students to write from Roman numerals and figured bass, write from a longer figured bass, and analyze a complete piece with discussion questions.

57 IV. Diatonic Harmony, Tonicization, and Modulation Extended Tonicization and Modulation to Closely Related Keys , . ). Asks students to review tonicization, identify closely related keys and pivot chords, analyze, and create a modulating progression.

58 V. Chromaticism Modal Mixture , ). Includes spelling, figured bass realization, 4-part voice-leading with Roman numerals, and analysis of musical excerpt.

59 V. Chromaticism Neapolitan 6th (♭II6) , ). Asks students to spell ♭II , realize figured bass, write 4-part voice-leading with Roman numerals, and analyze a musical excerpt.

60 V. Chromaticism Augmented Sixth Chords , .) Asks students to spell augmented sixth chords, realize figured bass, write 4-part voice-leading with Roman numerals, and analyze a musical excerpt. , .

61 V. Chromaticism Common-Tone Chords (CTº7 & CT+6) , .) Asks students to spell common tone chords, realize figured bass, complete 4-part voice leading with Roman numerals, and analyze a musical excerpt. .

62 V. Chromaticism Harmonic Elision , .) Asks students to spell chords, realize figured bass, write 4-part voice leading with Roman numerals, and analyze a musical excerpt.

63 V. Chromaticism Chromatic Modulation

64 V. Chromaticism Reinterpreting Diminished Seventh Chords

65 V. Chromaticism Augmented Options chapter and pick one (or more) of the repertoire examples listed in which an analyst has identified the use of an augmented chord.

66 V. Chromaticism Equal Divisions of the Octave

67 V. Chromaticism Chromatic Sequences

68 V. Chromaticism Parallel Chromatic Sequences

69 V. Chromaticism The Omnibus Progression

70 V. Chromaticism Altered and Extended Dominant Chords

71 V. Chromaticism Neo-Riemannian Triadic Progressions , . ). Asks students to perform , , , , , and on individual triads, to realize chains of transformations, and find a transformation chain to connect two chords.

, . ). Asks students to use the Cube Dance and other Neo-Riemannian cycles to compose a short minimalist piano solo.

72 V. Chromaticism Mediants

73 VI. Jazz Swing Rhythms ; PDFs for , , , , and ). Asks students to make a video with a partner performing idiomatic swing rhythms.

. Make a recording in which you perform these rhythms. Pick three rhythms that create syncopation in different ways, and explain how the beat is obscured to create syncopation (through ties? rests? etc.).

74 VI. Jazz Chord Symbols , . ). Asks students to identify and write triads and seventh chords with chord symbols.

, . ). Asks students to identify and write extended chords with chord symbols.

75 VI. Jazz Jazz Voicings , ). Asks students to identify common voice leading patterns in a voiced jazz texture and to write voiced chord progressions with good voice leading.

76 VI. Jazz ii–V–I
77 VI. Jazz Embellishing Chords , , , and substitutions to create a composition in a bebop style. : Complete instructions + template

,

: instructions only

78 VI. Jazz Substitutions , , , and substitutions to create a composition in a bebop style. : Complete instructions + template

,

: instructions only

79 VI. Jazz Chord-Scale Theory

80 VI. Jazz Blues Harmony , ). Asks students to write basic and jazz 12-bar blues progressions, voiced and unvoiced, and to analyze altered blues progressions.

, . ). Same as Assignment 1, but simplified: aks students to write basic 12-bar blues progressions, voiced and unvoiced, and to identify unusual chords in altered blues progressions.

81 VI. Jazz Blues Melodies and the Blues Scale , ). Asks students to spell scales and transcribe a melody that uses the blues scale.

, ). Video assignment. Asks students to pair off and create videos with call-and-response improvisation.

, ). Asks students to synthesize information about blues harmony and blues melody.

82 VII. Popular Music Rhythm and Meter in Pop Music , . ). Asks students to transcribe and identify straight syncopations as well as tresillo rhythms in “Sorry” by Beyoncé (2016).

83 VII. Popular Music Drumbeats , . ). Asks students to identify features of drumbeats and transcribe them.

84 VII. Popular Music Melody and Phrasing , . ). Asks students to identify two-, three-, and four-part phrase organizations within sections.

85 VII. Popular Music Introduction to Form in Popular Music
86 VII. Popular Music AABA Form and Strophic Form , ). Uses to create form diagrams of pop songs in AABA or strophic form.

87 VII. Popular Music Verse-Chorus Form ). Writing assignment that asks students to find songs on their own; identify them as strophic, AABA, or verse-chorus; name the sections of the song; and justify their analyses using form vocabulary.

, . ). Uses to create form diagrams of pop songs in verse-chorus form. One straightforward example, and one challenging example.

88 VII. Popular Music Introduction to Harmonic Schemas in Pop Music
89 VII. Popular Music Blues-Based Schemas , . ). Asks students to identify blues-based schemas, their use, and any variations in three pop songs.

90 VII. Popular Music Four-Chord Schemas , ). Students must identify which schema is used in a number of songs, each of which clearly presents the schema.

, ). Using songs that put slight variations on the schemas discussed in this chapter, asks students to identify schemas and variations on the schemas.

91 VII. Popular Music Classical Schemas (in a Pop Context) , . ). Asks students to identify the chord progressions of various songs that use classical schemas.

92 VII. Popular Music Puff Schemas , . ). Asks students to identify the chord progressions of various songs that use the puff schema.

93 VII. Popular Music Modal Schemas , ). Asks students to aurally identify various modal schemas.

, ). Asks students to reharmonize (2016) with modal schemas.

94 VII. Popular Music Pentatonic Harmony

95 VII. Popular Music Fragile, Absent, and Emergent Tonics , . ). Asks students to reharmonize a song that uses the to instead use fragile, absent, or emergent tonic techniques.

96 VIII. 20th- and 21st-Century Techniques Twentieth-Century Rhythmic Techniques
97 VIII. 20th- and 21st-Century Techniques Pitch and Pitch Class , . ). Asks students to translate between pitch class integers, note names, and staff notation.

98 VIII. 20th- and 21st-Century Techniques Intervals in Integer Notation , . ). Asks students to identify interval types (integer notation) within pieces of music.

99 VIII. 20th- and 21st-Century Techniques Pitch-Class Sets, Normal Order, and Transformations , . ). Asks students to find normal form of various sets, calculate transformations of sets, and identify T /I relationships in “Nacht” by Arnold Schoenberg.

, . ). Prepares students for the by asking them to find sets and transformations.

100 VIII. 20th- and 21st-Century Techniques Set Class and Prime Form , . ). Prepares students for the set class composition by asking them to find sets and transformations.

, . ). Builds on the prep worksheet. Asks students to compose and analyze a 24-bar ABA form piece for unaccompanied solo instrument using set classes.

101 VIII. 20th- and 21st-Century Techniques Interval-Class Vectors , . ). Asks students to calculate interval-class vectors for several sets.

102 VIII. 20th- and 21st-Century Techniques Analyzing with Set Theory (or not!) , . ).

, . ). Asks students to justify the given segmentations by explaining what the grouped pitches have in common.

, ). Open-ended prompt asks students to use set theory to analyze an excerpt.

103 VIII. 20th- and 21st-Century Techniques Diatonic Modes , . ). Asks students to identify 20 -century modes versus major/minor, circle inflected pitches, and explain how a pitch center is articulated. Music examples are transcribed from the TV show music by Tom Howe, © Accorder Music Publishing, used with permission).

104 VIII. 20th- and 21st-Century Techniques Collections , . ). Asks students to spell one example of each of the collections from this chapter.

. Identify   and collections used, along with related techniques. Scores can be found on  and . Both include the original French text and an English translation in the underlay.

105 VIII. 20th- and 21st-Century Techniques Analyzing with Modes, Scales, and Collections . Identify   and collections used, along with related techniques and materials, and linking these (where you consider it appropriate) to possible “meanings” of the work. Scores can be found on  and . Both include the original French text and an English translation in the underlay.

106 IX. Twelve-Tone Music Basics of Twelve-Tone Theory that interests you and write out:

in musical notation

107 IX. Twelve-Tone Music Naming Conventions for Rows that interests you and write out the row matrix with all 48 row forms (i.e., with numbers on the grid as shown above) in each of the three ways shown above. (Then choose your favorite method and never do this again!)

108 IX. Twelve-Tone Music Row Properties and pick any row listed in the sections on derived rows (e.g., “6x Same Dyad (interval)” or “4x Same Trichord”).

109 IX. Twelve-Tone Music Analysis Examples – Webern Op. 21 and 24
110 IX. Twelve-Tone Music Composing with Twelve Tones

Don’t be shy. Whether or not you think of yourself as “a composer,” it’s always useful to learn by doing, and composition is a great case in point.

111 IX. Twelve-Tone Music History and Context of Serialism
112 X. Orchestration Core Principles of Orchestration (12 Gesänge, no. 6) for two clarinets, dovetailing regularly every quarter or half note.  and .

113 X. Orchestration Subtle Color Changes

114 X. Orchestration Transcription from Piano

115 XI. Rhythm and Meter Notating Rhythm [crosslist] , )

, )

116 XI. Rhythm and Meter Simple Meter and Time Signatures [crosslist] , )

, )

117 XI. Rhythm and Meter Compound Meter and Time Signatures [crosslist] , )

, )

118 XI. Rhythm and Meter Other Rhythmic Essentials [crosslist] , )

119 XI. Rhythm and Meter Hypermeter

120 XI. Rhythm and Meter Metrical Dissonance , . ). Asks students to compose two mini pieces with repeating motives of different lengths, creating grouping dissonance. References the and .

121 XI. Rhythm and Meter Swing Rhythms [crosslist] ; PDFs for , , , , and ). Asks students to make a video with a partner performing idiomatic swing rhythms.

. Make a recording in which you perform these rhythms. Pick three rhythms that create syncopation in different ways, and explain how the beat is obscured to create syncopation (through ties? rests? etc.).

122 XI. Rhythm and Meter Rhythm and Meter in Pop Music [crosslist] , . ). Asks students to transcribe and identify straight syncopations as well as tresillo rhythms in “Sorry” by Beyoncé (2016).

123 XI. Rhythm and Meter Drumbeats [crosslist] , . ). Asks students to identify features of drumbeats and transcribe them.

124 XI. Rhythm and Meter Twentieth-Century Rhythmic Techniques [crosslist]

Ordering the notes of a chord so that it is entirely stacked in thirds. The root of the chord is on the bottom.

This page provides a list of rows used in the repertoire in the form of a:

  • Tabular list of all the rows collected (roughly 1,600);
  • Musical representation of those rows in 'open' values (quarter notes, no stems) and properties labelled;
  • Structured anthology , re-organising the rows by property (e.g. with a list of the all-interval rows).

As the twelve-tone part of this textbook is at pains to point out, it's not always straightforward (or indeed musically relevant) to identify a single main row. Indeed it's not always clear what counts as 'serial'. That being the case, no list of this kind can aim to be 'definitive'. All the same, it's very useful to see at least some rows gathered together and compared. [1]

Tabular List

[table “58” not found /]

Musical Notation

Rows in the Repertoire by FourScoreAndMore

Re-used Rows

We begin with rows used more than once in this collection. This takes account of transposition (by comparing P0 forms), but not inversion or retrograde equivalence. This list is short and largely limited to "famous" rows like the so-called "mother" chord (Berg, Ginastera, Klein) and cases of homage such as the Boulez-Messiaen and Payne-Lutyens pairs.

  • [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6]: Babbitt, Milton: Composition for Four Instruments; Schwantner, Joseph: In Aeternum (Derived Row)
  • [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5]: Babbitt, Milton: Relata I; Babbitt, Milton: Relata II
  • [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]: Babbitt, Milton: Semi-simple variations; Stockhausen, Karlheinz: Gruppen; Stockhausen, Karlheinz: Klavierstück IX; Stockhausen, Karlheinz: Klavierstück VII; Stockhausen, Karlheinz: Klavierstück X
  • [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6]: Babbitt, Milton: String Quartet, No.2; Morris, Robert: Roundelay, row 5
  • [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7]: Bach, Johann Sebastian: Chromatische Fantasie; Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 2
  • [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2]: Baker, David: “Status Symbol” from "The Black Experience"; Seiber, Mátyás: Ulysses; Spinner, Leopold: String Quartet, No.2, Op.7
  • [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6]: Barber, Samuel: Piano Sonata, Op.26; Slonimsky, Nicholas: No. 1242a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals)
  • [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]: Berg, Alban: Lyric Suite, Primary Row / mvt I; Berg, Alban: Schliesse mir die Augen Beide; Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III; Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1; Klein, Fritz Heinrich: Variationen, Op.14; Slonimsky, Nicholas: No. 1317 Invertible Dodecaphonic Progressions - With all Different Intervals. (Mother Chord)
  • [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3]: Berg, Alban: Lyric Suite, mvt I; Eisler, Hanns: Der Zweck der Musik; Slonimsky, Nicholas: No. 1293a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns)
  • [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]: Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude; Lackner, Peter: INITIUM TRIPLEX. 28. Juni 2016; für drei Tasteninstrumente; Lackner, Peter: Kanon für drei Klaviere. 28. 6. 2016; Slonimsky, Nicholas: No. 648-654 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts); Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 1
  • [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8]: Boulez, Pierre: Structures Ia; Messiaen, Olivier: Mode de valeurs et d'intensités, Series 1
  • [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]: Britten, Benjamin: The Turn of the Screw; Lackner, Peter: Kanon T2 à 6; Slonimsky, Nicholas: No. 1219a Fourths (Twelve-Tone Patterns); Slonimsky, Nicholas: No. 572 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts); Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 5
  • [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1]: Carter, Elliott: String Quartet, No.2 (sketch) 2; Slonimsky, Nicholas: No. 1269b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads); Slonimsky, Nicholas: No. 407 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 469 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 512 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts)
  • [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6]: Dallapiccola, Luigi: Canti di Liberazione; Dallapiccola, Luigi: Quaderno musicale di Annalibera; Dallapiccola, Luigi: Variazioni per orchestra
  • [0, 6, 11, 10, 1, 3, 5, 8, 7, 2, 4, 9]: Davies, Peter Maxwell: Five Pieces for Piano, Op.2, No.1; Davies, Peter Maxwell: Five Pieces for Piano, Op.2, No.1 (first row)
  • [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9]: Eisler, Hanns: Praeludium und Fuge über B-A-C-H for String Trio, Op.46; Slonimsky, Nicholas: No. 578 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts); Slonimsky, Nicholas: No. 579 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts); Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 11
  • [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]: Fine, Vivian: Chaconne for piano; Ginastera, Alberto: Quintet, Op.29, Row Class VII S; Slonimsky, Nicholas: No. 1232a (Twelve-Tone Spirals); Slonimsky, Nicholas: No. 1233a (Twelve-Tone Spirals); Slonimsky, Nicholas: No. 1234a (Twelve-Tone Spirals); Slonimsky, Nicholas: No. 1235a (Twelve-Tone Spirals); Slonimsky, Nicholas: No. 1318 Invertible Dodecaphonic Progressions - With all Different Intervals. (Grandmother Chord)
  • [0, 9, 3, 7, 4, 10, 2, 6, 1, 8, 11, 5]: Florey, Hans: Griechisch-lateinisches Quadrat der Ordnung 4 mit Fuge in Klangnotation; Hauer, Josef Matthias: Tanz [Zwölftonspiel] im langsamen 3/4 Takt für zwei Violinen, zwei Bratschen und Klavier zu zwei Händen; Hauer, Josef Matthias: Zwölftonmusik [Zwölftonspiel] für Klavier zu vier Händen. Februar 1959 (Fragment)
  • [0, 1, 4, 6, 5, 3, 11, 10, 9, 7, 8, 2]: Florey, Hans: Kanonvariationen; Hauer, Josef Matthias: 1. canonic Example from the theoretical work 'Zwölftontechnik'
  • [0, 4, 6, 3, 8, 9, 7, 2, 1, 5, 11, 10]: Florey, Hans: Kleiner Doppelkanon; Florey, Hans: Magisches Quadrat der Ordnung 3
  • [0, 10, 1, 7, 4, 6, 5, 8, 3, 9, 2, 11]: Florey, Hans: Magischer Würfel mit 6 Spiegelpunkten; Florey, Hans: Sechs Kanonzyklen einunddesselben magischen Quadrates
  • [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6]: Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano; Lang, Bernhard: Der Reigen; Slonimsky, Nicholas: No. 1310 Invertible Dodecaphonic Progressions - With all Different Intervals
  • [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7]: Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 2; Ginastera, Alberto: Violin Concerto, Op.30
  • [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10]: Ginastera, Alberto: Quintet, Op.29, Row Class III 2; Ginastera, Alberto: Quintet, Op.29, Row Class VII 2
  • [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]: Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 1; Slonimsky, Nicholas: No. 655-657 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts); Slonimsky, Nicholas: No. 793 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts); Slonimsky, Nicholas: No. 822 Ultrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts); Slonimsky, Nicholas: No. 824 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts)
  • [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1]: Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 2; Slonimsky, Nicholas: No. 1266a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads)
  • [0, 9, 3, 2, 11, 6, 5, 1, 8, 7, 4, 10]: Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 3; Slonimsky, Nicholas: No. 1266b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads)
  • [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2]: Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 5; Slonimsky, Nicholas: No. 370 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts)
  • [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6]: Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 6; Slonimsky, Nicholas: No. 1231a Major Sevenths (Twelve-Tone Patterns)
  • [0, 4, 3, 10, 6, 9, 1, 5, 2, 8, 11, 7]: Gotham, Mark: Move On!; Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 5
  • [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5]: Hauer, Josef Matthias: 'Salambo', opera after Gustave Flaubert;, Op.60; Lackner, Peter: Salambo-Kanon (à 4); Bad Aussee, 2. Februar 2008; Matthias, Josef: Salambo, Op.60
  • [0, 9, 6, 11, 4, 1, 10, 5, 2, 8, 3, 7]: Hauer, Josef Matthias: Hausmusik [Zwölftonspiel] für Klavier zu vier Händen. September 1958; Hauer, Josef Matthias: Schulmusik für zwei Klaviere. 3. Oktober 1958; Hauer, Josef Matthias: Tanz [Zwölftonspiel] im langsamen 3/4 Takt für Violine, Bratsche und Klavier zu vier Händen. 6. September 1958; Hauer, Josef Matthias: Zwölftonspiel 22. Mai 1958; für zwei Violinen, Bratsche, Cello und Klavier zu zwei Händen; Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen
  • [0, 5, 7, 3, 9, 6, 11, 2, 8, 4, 1, 10]: Hauer, Josef Matthias: Nomos; Hauer, Josef Matthias: Nomos, Op.19 (bb.1-36)
  • [0, 9, 8, 5, 10, 2, 11, 6, 3, 7, 4, 1]: Hauer, Josef Matthias: Zwölftonspiel 26. August 1948; für Violine und Klavier; Hauer, Josef Matthias: Zwölftonspiel für Violine allein mit einer Zwölftonreihe von Dr. Ernst Weidinger
  • [0, 9, 6, 2, 3, 10, 8, 5, 4, 7, 11, 1]: Hauer, Josef Matthias: Zwölftonspiel 28. August 1948; für Violine und Klavier; Hauer, Josef Matthias: Zwölftonspiel 31. August 1948; für Violine (Flöte) und Klavier; Hauer, Josef Matthias: Zwölftonspiel 31. August 1948; für Violine und Klavier; 2. Fassung; Hauer, Josef Matthias: Zwölftonspiel für Violine und Cembalo [Klavier]. 27. August 1948
  • [0, 4, 2, 9, 10, 6, 11, 1, 7, 3, 8, 5]: Hauer, Josef Matthias: Zwölftonspiel 5. September 1957; für Violine, Bratsche und Klavier; Hauer, Josef Matthias: Zwölftonspiel 9. September 1957; für vier Solostimmen [S, A, T, B], Violine, Bratsche und Klavier
  • [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5]: Hauer, Josef Matthias: Zwölftonspiel für Flöte, Horn, Violine, Bratsche, Cello und Klavier; Hauer, Josef Matthias: Zwölftonspiel für Violine und Klavier; Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, Bratsche und Cello ('Ins Räumliche übertragen'). 3. September 1953; Hauer, Josef Matthias: Zwölftonspiel in drei Teilen für zwei Violinen, Bratsche und Cello. 31. Juli 1953
  • [0, 6, 11, 4, 2, 9, 3, 1, 5, 7, 10, 8]: Hauer, Josef Matthias: Zwölftonspiel für Klavier. 11. Juni 1955; Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. Mai 1955
  • [0, 5, 7, 4, 6, 1, 9, 3, 8, 11, 10, 2]: Hauer, Josef Matthias: Zwölftonspiel für Orchester. 28. 9. 1954; hauer, Josef Matthias: Zwölftonspiel für Oechester. 28. 9. 1954
  • [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6]: Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.1; Slonimsky, Nicholas: No. 642 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts)
  • [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5]: Krenek, Ernst: Studies in Counterpoint; Krenek, Ernst: Studies in Counterpoint (i); Krenek, Ernst: Suite, Op.84 for solo cello
  • [0, 3, 10, 4, 9, 11, 8, 7, 5, 1, 2, 6]: Krenek, Ernst: Studies in Counterpoint (ii); Krenek, Ernst: Symeon, der Stylit
  • [0, 6, 3, 5, 9, 11, 7, 1, 4, 2, 10, 8]: Lackner, Peter: 'Der Winter'; Lackner, Peter: Kanon für Klavierquartett. 27. April 1991
  • [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5]: Lackner, Peter: 'Euphorbia obesa'. Kanon für Oboe, Englischhorn und Fagott.; Lackner, Peter: Kanon für zwei Violinen und Klavier. 1. Dezember 2004
  • [0, 3, 5, 11, 7, 10, 1, 8, 4, 9, 6, 2]: Lackner, Peter: 'Lied des Harfenmädchens' für Frauenstimme und Klavier; Lackner, Peter: 'Lied des Harfenmädchens II' für Flöte, Klarinette, Posaune, Violine, Cello und Klavier
  • [0, 4, 2, 8, 11, 7, 10, 5, 9, 1, 3, 6]: Lackner, Peter: 'Ständchen' für zwei Violinen und zwei Bratschen. 1913,2013; Lackner, Peter: Kanon für Violine, Bratsche und Klavier; Lackner, Peter: Kanon á 4
  • [0, 3, 6, 2, 9, 11, 7, 4, 1, 5, 10, 8]: Lackner, Peter: 'Wo ist der Freund' (erstes Lied aus dem Zyklus 'Wilde Erdbeeren' für Singstimme und Klavier); Lackner, Peter: Moebius-Band für Flöte, Violine, Violoncello und Klavier; Lackner, Peter: Moebius-Band für sechs Violinen
  • [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6]: Lackner, Peter: 2. Kanonzyklus; Lackner, Peter: Kanon für Flöte und Elektronik. Februar 1999
  • [0, 6, 8, 10, 1, 3, 5, 11, 9, 7, 4, 2]: Lackner, Peter: 3. Kanonzyklus; Lackner, Peter: Kanon für Klavier
  • [0, 5, 3, 7, 11, 1, 9, 4, 6, 2, 10, 8]: Lackner, Peter: 4. Kanonzyklus; Lackner, Peter: Kanon für Flöte, Akkordeon, zwei Violinen, Bratsche und Klavier; Lackner, Peter: Kanon für Klavier. April 2000
  • [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3]: Lackner, Peter: KANON für A, O & Gsellmanns Weltmaschine. 8. Oktober 1958,2008; Lackner, Peter: Kanon für Streichquartett. 22.September 2003
  • [0, 2, 7, 3, 5, 10, 6, 8, 1, 9, 11, 4]: Lackner, Peter: Kanon T3 à 4; Slonimsky, Nicholas: No. 499 Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts)
  • [0, 2, 9, 10, 6, 5, 1, 11, 4, 3, 7, 8]: Lackner, Peter: Kanon für Cello und Klavier; Lackner, Peter: Kanon für Klavier. 5. April 1989; Lackner, Peter: Kanon für Violine und Violoncello
  • [0, 1, 10, 7, 9, 4, 5, 11, 8, 6, 2, 3]: Lackner, Peter: Kanon für Klavier zu vier Händen. Frühling 1984; Lackner, Peter: Kanon für zwei Violinen und Klavier. Frühjahr 1984
  • [0, 11, 3, 10, 6, 2, 7, 8, 4, 9, 1, 5]: Lackner, Peter: Kanon für acht Instrumente. Dezember 1991, März 2007; Lackner, Peter: Kanon für drei Bratschen
  • [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5]: Liszt, Franz: Eine Faust Symphonie; Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 1; Slonimsky, Nicholas: No. 1271a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads)
  • [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6]: Luo, Zhong-Rong: Chang'e; Slonimsky, Nicholas: No. 1246a Crossing Fourths (Crossing Intervals); Wuorinen, Charles: Third Piano Sonata
  • [0, 2, 7, 5, 10, 8, 6, 3, 1, 11, 9, 4]: Luo, Zhong-Rong: Dusk, row 1; Luo, Zhong-Rong: Evening
  • [0, 2, 5, 7, 4, 11, 6, 8, 1, 3, 9, 10]: Luo, Zhong-Rong: Sonatina, mvt 2; Luo, Zhong-Rong: String Quartet, No.3, row 2
  • [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7]: Lutosławski, Witold: Musique Funébre (Funeral Music); Schnittke, Alfred: Piano Sonata, No.1, mvt 2, mm. 72-76; Slonimsky, Nicholas: No. 875 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts)
  • [0, 6, 11, 10, 8, 7, 9, 1, 3, 2, 4, 5]: Lutyens, Elisabeth: The Valley of Hatsu'se; Payne, Antony: Miniature Variations on a Theme of E.L.
  • [0, 7, 2, 3, 6, 9, 10, 1, 4, 5, 8, 11]: Maderna, Bruno: Quartetto; Maderna, Bruno: Streichquartett (Basisreihe 1)
  • [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]: Messiaen, Olivier: Livre d'orgue; Nono, Luigi: Canti per tredeci; Nono, Luigi: Cori di Didone; Nono, Luigi: Il canto sospeso; Nono, Luigi: La terra e la compagna (sketch), Series 1; Zimmermann, Bernd Alois: 'Ich wandte mich um und sah alles Unrecht das geschah unter der Sonne'
  • [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]: Morris, Robert: Knot Lilacs; Morris, Robert: Not Lilacs; Slonimsky, Nicholas: No. 1302 Invertible Dodecaphonic Progressions - With all Different Intervals
  • [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11]: Nono, Luigi: Ha venido; Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 6
  • [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10]: Nono, Luigi: Intolleranza, Tenor 2; Slonimsky, Nicholas: No. 637 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts)
  • [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2]: Nono, Luigi: Variazioni canoniche sulla serie dell'Op.41 di Arnold Schönberg; Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 2)
  • [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]: Sande, Henrik: 4032 Töne für Klavier sechshändig; Slonimsky, Nicholas: No. 1220a Fifths (Twelve-Tone Patterns); Slonimsky, Nicholas: No. 1221a Fifths (Twelve-Tone Patterns); Slonimsky, Nicholas: No. 1222aFifths (Twelve-Tone Patterns); Slonimsky, Nicholas: No. 574 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts); Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 7
  • [0, 2, 3, 6, 7, 11, 1, 9, 4, 8, 5, 10]: Santoro, Claudio: Invenções a duas vozes (Two-Part inventions); Santoro, Claudio: Sonata 1942
  • [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7]: Schnittke, Alfred: Concerto Grosso, No.3, monogram 1; Schnittke, Alfred: Concerto Grosso, No.3
  • [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5]: Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, new row; Slonimsky, Nicholas: No. 813 Interpolation of Three Notes (Quinquetone Progression; Equal Division of Five Octaves into Six Parts)
  • [0, 11, 9, 7, 2, 4, 6, 5, 3, 1, 8, 10]: Slonimsky, Nicholas: No. 1237a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals); Slonimsky, Nicholas: No. 1297a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns)
  • [0, 11, 2, 9, 4, 7, 6, 5, 8, 3, 10, 1]: Slonimsky, Nicholas: No. 1239a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals); Slonimsky, Nicholas: No. 1250a Crossing Seconds (Crossing Intervals)
  • [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11]: Slonimsky, Nicholas: No. 1265 Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads); Slonimsky, Nicholas: No. 1265a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads)
  • [0, 4, 8, 9, 1, 5, 6, 10, 2, 3, 7, 11]: Slonimsky, Nicholas: No. 1269a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads); Slonimsky, Nicholas: No. 753 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts)
  • [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7]: Slonimsky, Nicholas: No. 1271b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads); Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 8
  • [0, 11, 1, 10, 2, 9, 6, 5, 7, 4, 8, 3]: Slonimsky, Nicholas: No. 1298a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns); Slonimsky, Nicholas: No. 1300a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns)
  • [0, 3, 8, 4, 7, 5, 6, 9, 2, 10, 1, 11]: Slonimsky, Nicholas: No. 1298b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns); Slonimsky, Nicholas: No. 1300b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns)
  • [0, 3, 9, 6, 4, 7, 1, 10, 8, 11, 5, 2]: Slonimsky, Nicholas: No. 388 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts); Slonimsky, Nicholas: No. 390 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts)
  • [0, 9, 3, 6, 4, 1, 7, 10, 8, 5, 11, 2]: Slonimsky, Nicholas: No. 389 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts); Slonimsky, Nicholas: No. 391 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts)
  • [0, 8, 7, 3, 11, 10, 6, 2, 1, 9, 5, 4]: Slonimsky, Nicholas: No. 410 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 466 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts)
  • [0, 10, 5, 3, 1, 8, 6, 4, 11, 9, 7, 2]: Slonimsky, Nicholas: No. 415 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 505 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts)
  • [0, 11, 4, 3, 2, 7, 6, 5, 10, 9, 8, 1]: Slonimsky, Nicholas: No. 417 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 500 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts)
  • [0, 11, 7, 3, 2, 10, 6, 5, 1, 9, 8, 4]: Slonimsky, Nicholas: No. 420 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 456 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 503 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts)
  • [0, 10, 8, 3, 1, 11, 6, 4, 2, 9, 7, 5]: Slonimsky, Nicholas: No. 459 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts); Slonimsky, Nicholas: No. 508 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts)
  • [0, 6, 7, 8, 9, 10, 11, 5, 4, 3, 2, 1]: Slonimsky, Nicholas: No. 643 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts); Slonimsky, Nicholas: No. 644 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts)
  • [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 5, 10]: Slonimsky, Nicholas: No. 749 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts); Slonimsky, Nicholas: No. 799 Infra-Infrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts)
  • [0, 8, 1, 11, 10, 7, 5, 9, 4, 6, 3, 2]: Stockhausen, Karlheinz: Klavierstück "V.5 or Pre-VI" (row of original 1954 version); Stockhausen, Karlheinz: Klavierstück VIII
  • [0, 11, 3, 2, 9, 1, 7, 8, 4, 10, 5, 6]: Zappa, Frank: Brown Shoes Don't Make It; Zappa, Frank: Waltz

All-Interval

All-interval rows go through all 11 different intervals (1, 2, 3, ... 11) between neighbouring pitches in the row.

  • Babbitt, Milton: Du, row i, [0, 9, 2, 10, 11, 1, 7, 5, 4, 8, 3, 6]
  • Babbitt, Milton: Du, row ii, [0, 5, 2, 10, 9, 7, 1, 3, 4, 8, 11, 6]
  • Babbitt, Milton: Partitions, [0, 7, 9, 10, 2, 11, 5, 8, 4, 3, 1, 6]
  • Babbitt, Milton: Semi-simple variations, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  • Babbitt, Milton: Sounds and Words, [0, 9, 2, 4, 8, 3, 11, 10, 1, 7, 5, 6]
  • Babbitt, Milton: String Quartet, No.2, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6]
  • Babbitt, Milton: The Widow's Lament in Springtime, [0, 11, 9, 2, 10, 7, 1, 4, 8, 3, 5, 6]
  • Babbitt, Milton: Three Compositions for Piano, No.1, [0, 5, 7, 4, 2, 3, 9, 1, 8, 11, 10, 6]
  • Berg, Alban: Lyric Suite, Primary Row / mvt I, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  • Berg, Alban: Schliesse mir die Augen Beide, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  • Carter, Elliott: A Symphony of Three Orchestras, [0, 8, 7, 10, 4, 5, 2, 9, 11, 3, 1, 6]
  • Carter, Elliott: Caténaires, [0, 8, 5, 3, 7, 9, 10, 4, 11, 2, 1, 6]
  • Carter, Elliott: Night Fantasies, [0, 10, 3, 11, 8, 7, 1, 2, 5, 9, 4, 6]
  • Carter, Elliott: String Quartet, No.3, [0, 11, 2, 9, 5, 3, 4, 8, 10, 7, 1, 6]
  • Dallapiccola, Luigi: Piccola musica notturna, [0, 9, 1, 3, 4, 11, 2, 8, 7, 5, 10, 6]
  • Fine, Vivian: Chaconne for piano, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  • Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6]
  • Ginastera, Alberto: Quintet, Op.29, Row Class VII S, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  • Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  • Klein, Fritz Heinrich: Variationen, Op.14, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  • Krenek, Ernst: Quaestio temporis, Op.170, [0, 3, 11, 4, 2, 1, 7, 8, 10, 5, 9, 6]
  • Krenek, Ernst: Studies in Counterpoint (ii), [0, 3, 10, 4, 9, 11, 8, 7, 5, 1, 2, 6]
  • Krenek, Ernst: Symeon, der Stylit, [0, 3, 10, 4, 9, 11, 8, 7, 5, 1, 2, 6]
  • Krenek, Ernst: Symphonic Piece for string Orchestra, Op.86, [0, 3, 4, 10, 2, 9, 11, 8, 7, 5, 1, 6]
  • Krenek, Ernst: Zwölf Variationen in Drei Sätzen, Op.79, [0, 1, 3, 10, 2, 5, 11, 7, 4, 9, 8, 6]
  • Lackner, Peter: 'Flügelaltar' für Klavier, [0, 9, 11, 10, 2, 7, 1, 8, 4, 5, 3, 6]
  • Lang, Bernhard: Der Reigen, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6]
  • Lang, Bernhard: Monadologie XIII a; 'The Saucy Maid', [0, 1, 5, 2, 4, 9, 3, 10, 8, 11, 7, 6]
  • Lang, Klaus: 'Von der Ligurischen Küste zum Trasimenischen See'; Trauermusik für Violine und Klavier, [0, 5, 9, 8, 10, 7, 1, 4, 2, 3, 11, 6]
  • Luo, Zhong-Rong: Chang'e, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6]
  • Messiaen, Olivier: Livre d'orgue, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  • Morris, Robert: Knot Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]
  • Morris, Robert: Not Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]
  • Morris, Robert: Roundelay, row 5, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6]
  • Nono, Luigi: Canti per tredeci, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  • Nono, Luigi: Cori di Didone, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  • Nono, Luigi: Il canto sospeso, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  • Nono, Luigi: La terra e la compagna (sketch), Series 1, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  • Schnittke, Alfred: String Quartet, No.1, [0, 2, 1, 10, 3, 11, 5, 9, 4, 7, 8, 6]
  • Slonimsky, Nicholas: No. 1232a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  • Slonimsky, Nicholas: No. 1233a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  • Slonimsky, Nicholas: No. 1234a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  • Slonimsky, Nicholas: No. 1235a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  • Slonimsky, Nicholas: No. 1245a Crossing Fifths (Crossing Intervals), [0, 5, 7, 10, 2, 3, 9, 8, 4, 1, 11, 6]
  • Slonimsky, Nicholas: No. 1246a Crossing Fourths (Crossing Intervals), [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6]
  • Slonimsky, Nicholas: No. 1301 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 1, 4, 8, 3, 5, 11, 9, 2, 10, 7, 6]
  • Slonimsky, Nicholas: No. 1302 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]
  • Slonimsky, Nicholas: No. 1303 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 2, 3, 7, 10, 5, 11, 4, 1, 9, 8, 6]
  • Slonimsky, Nicholas: No. 1304 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Triad), [0, 3, 7, 8, 10, 5, 11, 4, 2, 1, 9, 6]
  • Slonimsky, Nicholas: No. 1305 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Sixth-Chord), [0, 3, 8, 10, 11, 7, 1, 5, 4, 2, 9, 6]
  • Slonimsky, Nicholas: No. 1306 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Triad), [0, 4, 7, 8, 3, 5, 11, 9, 2, 1, 10, 6]
  • Slonimsky, Nicholas: No. 1307 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Sixth-Chord), [0, 4, 9, 8, 11, 1, 7, 5, 2, 3, 10, 6]
  • Slonimsky, Nicholas: No. 1308 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Six-Four Chord), [0, 5, 8, 10, 9, 1, 7, 3, 4, 2, 11, 6]
  • Slonimsky, Nicholas: No. 1309 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Six-Four Chord), [0, 5, 9, 8, 10, 1, 7, 4, 2, 3, 11, 6]
  • Slonimsky, Nicholas: No. 1310 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6]
  • Slonimsky, Nicholas: No. 1311 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 9, 10, 2, 5, 11, 8, 4, 3, 1, 6]
  • Slonimsky, Nicholas: No. 1312 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 10, 2, 3, 5, 11, 9, 8, 4, 1, 6]
  • Slonimsky, Nicholas: No. 1313 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 11, 2, 4, 3, 9, 10, 8, 5, 1, 6]
  • Slonimsky, Nicholas: No. 1314 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 2, 7, 4, 5, 9, 3, 11, 10, 1, 8, 6]
  • Slonimsky, Nicholas: No. 1315 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 4, 5, 2, 7, 9, 3, 1, 8, 11, 10, 6]
  • Slonimsky, Nicholas: No. 1317 Invertible Dodecaphonic Progressions - With all Different Intervals. (Mother Chord), [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  • Slonimsky, Nicholas: No. 1318 Invertible Dodecaphonic Progressions - With all Different Intervals. (Grandmother Chord), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  • Stockhausen, Karlheinz: Gruppen, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  • Stockhausen, Karlheinz: Klavierstück IX, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  • Stockhausen, Karlheinz: Klavierstück VII, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  • Stockhausen, Karlheinz: Klavierstück X, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  • Wuorinen, Charles: Third Piano Sonata, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6]
  • Zimmermann, Bernd Alois: 'Ich wandte mich um und sah alles Unrecht das geschah unter der Sonne', [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]

Self Retrograde

We turn now to classes of row symmetry, beginning with self retrograde rows for which the prime form is transposition-equivalent to its retrograde. The section after this one deals with retrograde inversion symmetry, and rotational symmetry is included as part of the following sections on derived rows (starting with "6x Same Dyad").

  • Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6]
  • Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6]
  • Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6]
  • Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6]
  • Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6]
  • Barber, Samuel: Piano Sonata, Op.26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6]
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6]
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.1, [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6]
  • Jung, Joachim: , [0, 11, 3, 10, 2, 1, 7, 8, 4, 9, 5, 6]
  • Lackner, Peter: 2. Kanonzyklus, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6]
  • Lackner, Peter: Kanon für Blockflötenquartett. April 2005, [0, 10, 11, 3, 1, 2, 8, 7, 9, 5, 4, 6]
  • Lackner, Peter: Kanon für Flöte solo und N. N., [0, 3, 7, 10, 2, 5, 11, 8, 4, 1, 9, 6]
  • Lackner, Peter: Kanon für Flöte und Elektronik. Februar 1999, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6]
  • Lackner, Peter: Kanon für Violine, Viola und Akkordeon. 11. Juni 2007, [0, 11, 1, 2, 3, 10, 4, 9, 8, 7, 5, 6]
  • Lackner, Peter: Kanon für Violine solo, [0, 11, 2, 7, 10, 9, 3, 4, 1, 8, 5, 6]
  • Lackner, Peter: Kanon für zwei Singstimmen und Ensemble zur Skulpturengruppe LEM von Axel Kirchmayr und einem Text von Hannes Waltl. September 2004, [0, 2, 9, 10, 5, 7, 1, 11, 4, 3, 8, 6]
  • Lackner, Peter: Kanon für zwei Trompeten, Horn, Posaune und Tuba. 1. Mai 1993, [0, 1, 2, 10, 3, 5, 11, 9, 4, 8, 7, 6]
  • Lackner, Peter: Kanon für zwei Violinen. Frühjahr 1992, [0, 2, 4, 7, 9, 11, 5, 3, 1, 10, 8, 6]
  • Lackner, Peter: kgV (3,4) [zweistimmiger Kanon für Klavier], [0, 10, 2, 3, 5, 7, 1, 11, 9, 8, 4, 6]
  • Lang, Bernhard: Hemma (Music Theatre Hemma Klagenfurt 2015), [0, 5, 10, 2, 3, 1, 7, 9, 8, 4, 11, 6]
  • Riegebauer, Sigrid: Toccata, [0, 3, 1, 2, 11, 10, 4, 5, 8, 7, 9, 6]
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6]
  • Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, [0, 2, 3, 1, 4, 5, 11, 10, 7, 9, 8, 6]
  • Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6]
  • Seiber, Mátyás: String Quartet, No.2, [0, 2, 3, 1, 4, 11, 5, 10, 7, 9, 8, 6]
  • Slonimsky, Nicholas: No. 1215a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 7, 2, 9, 4, 11, 6]
  • Slonimsky, Nicholas: No. 1229a Major Sevenths (Twelve-Tone Patterns), [0, 11, 10, 9, 8, 7, 1, 2, 3, 4, 5, 6]
  • Slonimsky, Nicholas: No. 1231a Major Sevenths (Twelve-Tone Patterns), [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6]
  • Slonimsky, Nicholas: No. 1242a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals), [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6]
  • Slonimsky, Nicholas: No. 1316 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 7, 4, 5, 9, 2, 8, 3, 11, 10, 1, 6]
  • Slonimsky, Nicholas: No. 642 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6]
  • Spinner, Leopold: Ich lieb' eine Blume for Four-part mixed Choir, [0, 11, 2, 4, 9, 7, 1, 3, 10, 8, 5, 6]
  • Spinner, Leopold: Sonata for Clarinet and Piano, Op.17, [0, 3, 4, 1, 2, 5, 11, 8, 7, 10, 9, 6]
  • Spinner, Leopold: Sonatina for Cello and Piano, Op.26, [0, 1, 11, 2, 4, 3, 9, 10, 8, 5, 7, 6]
  • Spinner, Leopold: Sonatina for Wind Instruments, Op.23, [0, 9, 1, 5, 4, 2, 8, 10, 11, 7, 3, 6]
  • Webern, Anton: Symphony, Op.21, [0, 3, 2, 1, 5, 4, 10, 11, 7, 8, 9, 6]

Self Retrograde Inversion

These rows have a palindromic interval succession meaning that the prime is transposition-equivalent to its retrograde-inversion.

  • Bach, Johann Sebastian: Chromatische Fantasie, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7]
  • Bartók, Béla: String Quartet, No.4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7]
  • Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1]
  • Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3]
  • Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5]
  • Berger, Arthur: Chamber Music for Thirteen Players, [0, 1, 11, 7, 10, 9, 6, 5, 8, 4, 2, 3]
  • Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
  • Britten, Benjamin: The Turn of the Screw, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]
  • Carter, Elliott: String Quartet, No.2 (sketch) 1, [0, 4, 8, 3, 7, 11, 6, 10, 2, 9, 1, 5]
  • Carter, Elliott: String Quartet, No.2 (sketch) 2, [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1]
  • Carter, Elliott: String Quartet, No.2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11]
  • Dallapiccola, Luigi: Cinque canti, [0, 11, 5, 8, 6, 2, 7, 3, 1, 4, 10, 9]
  • Dallapiccola, Luigi: Dialoghi, [0, 1, 10, 2, 6, 4, 5, 3, 7, 11, 8, 9]
  • Dallapiccola, Luigi: Requiescant (alternative view), [0, 2, 1, 7, 11, 8, 9, 6, 10, 4, 3, 5]
  • Dallapiccola, Luigi: Ulisse [opera], [0, 2, 1, 3, 9, 8, 11, 10, 4, 6, 5, 7]
  • Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5]
  • Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7]
  • Eisler, Hanns: Der Zweck der Musik, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3]
  • Eisler, Hanns: Praeludium und Fuge über B-A-C-H for String Trio, Op.46, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9]
  • Fano, Michel: Sonata for Two Pianos, [0, 6, 10, 7, 9, 8, 3, 2, 4, 1, 5, 11]
  • Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11]
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1]
  • Ginastera, Alberto: Quintet, Op.29, Row Class III 1, [0, 11, 1, 8, 2, 7, 10, 3, 9, 4, 6, 5]
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9]
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 1, [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1]
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11]
  • Hartmann, Karl Amadeus: Symphony, No.4, [0, 1, 3, 2, 11, 4, 5, 10, 7, 6, 8, 9]
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 3, [0, 1, 4, 6, 8, 10, 5, 7, 9, 11, 2, 3]
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 6, [0, 2, 4, 6, 7, 10, 5, 8, 9, 11, 1, 3]
  • Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5]
  • Lackner, Peter: 'Euphorbia obesa'. Kanon für Oboe, Englischhorn und Fagott., [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5]
  • Lackner, Peter: INITIUM TRIPLEX. 28. Juni 2016; für drei Tasteninstrumente, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
  • Lackner, Peter: KANON für A, O & Gsellmanns Weltmaschine. 8. Oktober 1958,2008, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3]
  • Lackner, Peter: Kanon T2 à 6, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]
  • Lackner, Peter: Kanon für Klavier. 15. Juni 1992, [0, 10, 3, 8, 6, 5, 2, 1, 11, 4, 9, 7]
  • Lackner, Peter: Kanon für Schwegel, diatonisches Hackbrett und Violine, [0, 8, 4, 10, 6, 2, 5, 1, 9, 3, 11, 7]
  • Lackner, Peter: Kanon für Streichquartett. 22.September 2003, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3]
  • Lackner, Peter: Kanon für drei Klaviere. 28. 6. 2016, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
  • Lackner, Peter: Kanon für zwei Gitarren. September 2001, [0, 5, 3, 9, 11, 6, 7, 2, 4, 10, 8, 1]
  • Lackner, Peter: Kanon für zwei Violinen und Klavier. 1. Dezember 2004, [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5]
  • Lackner, Peter: TACET (drittes Lied aus dem Zyklus 'Wilde Erdbeeren'), [0, 2, 9, 5, 8, 11, 4, 7, 10, 6, 1, 3]
  • Leibowitz, René: Trois pièces pour piano, Op.19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11]
  • Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1]
  • Liszt, Franz: Eine Faust Symphonie, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5]
  • Luo, Zhong-Rong: String Quartet, No.2, [0, 3, 5, 10, 6, 8, 11, 1, 9, 2, 4, 7]
  • Lutosławski, Witold: Musique Funébre (Funeral Music), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7]
  • Maderna, Bruno: Improvvisazione N. 1, [0, 11, 4, 8, 3, 2, 7, 6, 1, 5, 10, 9]
  • Nono, Luigi: Ha venido, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11]
  • Nono, Luigi: Intolleranza, Alto, [0, 6, 7, 1, 2, 8, 9, 3, 4, 10, 11, 5]
  • Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5]
  • Nono, Luigi: Intolleranza, Tenor 1, [0, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1]
  • Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7]
  • Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 1, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5]
  • Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7]
  • Sande, Henrik: 4032 Töne für Klavier sechshändig, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]
  • Schnittke, Alfred: Concerto, No.2 for Violin and Chamber Orchestra, [0, 11, 1, 2, 10, 3, 4, 9, 5, 6, 8, 7]
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5]
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 1, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7]
  • Schnittke, Alfred: Concerto Grosso, No.3, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7]
  • Schnittke, Alfred: Piano Sonata, No.1, mvt 2, mm. 72-76, [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7]
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 1, [0, 3, 6, 10, 2, 11, 8, 5, 9, 1, 4, 7]
  • Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5]
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1]
  • Schnittke, Alfred: Viola Concerto, [0, 11, 5, 2, 1, 6, 3, 8, 7, 4, 10, 9]
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9]
  • Schoenberg, Arnold: Serenade, mvt 5, "Tanzscene", Op.24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5]
  • Schwantner, Joseph: ...and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5]
  • Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3]
  • Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9]
  • Schwantner, Joseph: Modus Caelestis (m. 39), [0, 6, 11, 10, 5, 9, 4, 8, 3, 2, 7, 1]
  • Slonimsky, Nicholas: No. 1214a Thirds (Twelve-Tone Patterns), [0, 4, 8, 11, 3, 7, 6, 10, 2, 5, 9, 1]
  • Slonimsky, Nicholas: No. 1216a Foutths (Twelve-Tone Patterns), [0, 5, 10, 3, 7, 2, 9, 4, 8, 1, 6, 11]
  • Slonimsky, Nicholas: No. 1217a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 11, 6, 1, 8, 4, 9, 2, 7]
  • Slonimsky, Nicholas: No. 1218a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7]
  • Slonimsky, Nicholas: No. 1219a Fourths (Twelve-Tone Patterns), [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]
  • Slonimsky, Nicholas: No. 1220a Fifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]
  • Slonimsky, Nicholas: No. 1221a Fifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]
  • Slonimsky, Nicholas: No. 1222aFifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]
  • Slonimsky, Nicholas: No. 1224a Sixths (Twelve-Tone Patterns), [0, 9, 6, 3, 7, 10, 1, 4, 8, 5, 2, 11]
  • Slonimsky, Nicholas: No. 1254a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 1]
  • Slonimsky, Nicholas: No. 1255a [Slonimsky: Moto Perpetuo] Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 6, 9, 2, 5, 8, 11, 3]
  • Slonimsky, Nicholas: No. 1258b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 11, 7, 2, 10, 6, 4, 1, 9]
  • Slonimsky, Nicholas: No. 1260a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 6, 9, 1, 5, 8, 11, 3]
  • Slonimsky, Nicholas: No. 1265 Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11]
  • Slonimsky, Nicholas: No. 1265a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11]
  • Slonimsky, Nicholas: No. 1266a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1]
  • Slonimsky, Nicholas: No. 1269a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 1, 5, 6, 10, 2, 3, 7, 11]
  • Slonimsky, Nicholas: No. 1269b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1]
  • Slonimsky, Nicholas: No. 1270a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 2, 6, 7, 11, 3, 5, 9, 1]
  • Slonimsky, Nicholas: No. 1270b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 2, 10, 6, 3, 11, 7, 5, 1, 9]
  • Slonimsky, Nicholas: No. 1271a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5]
  • Slonimsky, Nicholas: No. 1271b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7]
  • Slonimsky, Nicholas: No. 1293a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3]
  • Slonimsky, Nicholas: No. 1296a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 7, 8, 3, 4, 11, 6, 1, 2, 9, 10, 5]
  • Slonimsky, Nicholas: No. 230 Ultrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 6, 5, 11, 4, 10, 9, 3, 8, 2, 1, 7]
  • Slonimsky, Nicholas: No. 258 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 11, 10, 9, 4, 3, 2, 1, 8, 7, 6, 5]
  • Slonimsky, Nicholas: No. 270 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 9, 7, 4, 2, 1, 11, 8, 6, 5, 3]
  • Slonimsky, Nicholas: No. 277 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 7, 5, 4, 2, 11, 9, 8, 6, 3, 1]
  • Slonimsky, Nicholas: No. 407 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1]
  • Slonimsky, Nicholas: No. 453 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 10, 3, 2, 1, 6, 5, 4, 9, 8, 7]
  • Slonimsky, Nicholas: No. 459 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 8, 3, 1, 11, 6, 4, 2, 9, 7, 5]
  • Slonimsky, Nicholas: No. 469 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1]
  • Slonimsky, Nicholas: No. 496 [Shostakovitch: Prelude No, 2] Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 2, 4, 3, 5, 7, 6, 8, 10, 9, 11, 1]
  • Slonimsky, Nicholas: No. 508 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 8, 3, 1, 11, 6, 4, 2, 9, 7, 5]
  • Slonimsky, Nicholas: No. 512 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1]
  • Slonimsky, Nicholas: No. 570 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 1]
  • Slonimsky, Nicholas: No. 572 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]
  • Slonimsky, Nicholas: No. 574 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]
  • Slonimsky, Nicholas: No. 576 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 9, 2, 11, 4, 1, 6, 3, 8, 5, 10, 7]
  • Slonimsky, Nicholas: No. 578 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9]
  • Slonimsky, Nicholas: No. 579 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9]
  • Slonimsky, Nicholas: No. 641 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 7, 6, 5, 4, 8, 9, 10, 11]
  • Slonimsky, Nicholas: No. 648-654 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
  • Slonimsky, Nicholas: No. 655-657 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
  • Slonimsky, Nicholas: No. 692 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 3, 5, 8, 10, 11, 1, 4, 6, 7, 9]
  • Slonimsky, Nicholas: No. 698 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 5, 7, 8, 10, 1, 3, 4, 6, 9, 11]
  • Slonimsky, Nicholas: No. 736 Inter-Infra-Ultrapolation (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 7, 9, 8, 10, 3, 5, 4, 6, 11, 1]
  • Slonimsky, Nicholas: No. 753 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 4, 8, 9, 1, 5, 6, 10, 2, 3, 7, 11]
  • Slonimsky, Nicholas: No. 793 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
  • Slonimsky, Nicholas: No. 813 Interpolation of Three Notes (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5]
  • Slonimsky, Nicholas: No. 822 Ultrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
  • Slonimsky, Nicholas: No. 823 Ultrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 1, 10, 11, 8, 9, 6, 7, 4, 5, 2, 3]
  • Slonimsky, Nicholas: No. 824 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
  • Slonimsky, Nicholas: No. 875 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7]
  • Slonimsky, Nicholas: No. 903 Inter-Ultrapolation (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 4, 8, 5, 9, 1, 10, 2, 6, 3, 7, 11]
  • Slonimsky, Nicholas: No. 997 Infra-Interpolation (Diapente Progression; Equal Division of Seven Octaves into Twelve Parts), [0, 8, 4, 7, 3, 11, 2, 10, 6, 9, 5, 1]
  • Spinner, Leopold: Fantasy for Piano, Op.9 , [0, 1, 4, 5, 2, 3, 8, 9, 6, 7, 10, 11]
  • Spinner, Leopold: Ricercata, Op.21, [0, 11, 8, 10, 2, 1, 4, 3, 7, 9, 6, 5]
  • Spinner, Leopold: Sonata for Piano, Op.3, [0, 9, 8, 6, 7, 10, 1, 4, 5, 3, 2, 11]
  • Spinner, Leopold: Trio for Violin, Cello, and Piano, Op.6, [0, 1, 7, 4, 10, 9, 6, 5, 11, 8, 2, 3]
  • Spinner, Leopold: Variations for Violin and Piano, Op.19, [0, 8, 9, 1, 2, 4, 3, 5, 6, 10, 11, 7]
  • Urbanner, Erich: Adagio, [0, 3, 1, 11, 10, 9, 8, 7, 6, 4, 2, 5]
  • Wang, Jian-Zhong: Five Pieces for Piano no. 1, "Pastorale" (variant), [0, 3, 5, 7, 4, 2, 11, 9, 6, 8, 10, 1]
  • Webern, Anton: Cantata I, Op.29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5]
  • Webern, Anton: String Quartet, Op.28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9]
  • Webern, Anton: Variations for Orchestra, Op.30, [0, 1, 4, 3, 2, 5, 6, 9, 8, 7, 10, 11]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 11, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 5, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 6, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 7, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 8, [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7]
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5]
  • Zillig, Wilfried: Das Opfer, [0, 11, 3, 4, 8, 7, 10, 9, 1, 2, 6, 5]

6x Same Dyad (interval)

These next four sections set out cases where the discrete sub-segments of a row all form the same pitch class set. The pitch class set in question is given after the row in prime form and rows which are also self-rotational are identified (with the self-rotational interval pattern). This first section presents cases of 6x the same dyad (pitches 1-2, 3-4, 5-6, 7-8, 9-10, and 11-12).

  • Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 3)
  • Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], pc set (0, 3)
  • Bach, Johann Sebastian: Chromatische Fantasie, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], pc set (0, 3)
  • Baker, David: “Status Symbol” from "The Black Experience", [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 3)
  • Bartók, Béla: String Quartet, No.4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7], pc set (0, 5)
  • Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], pc set (0, 1), self-rotational interval pattern 1-1-
  • Britten, Benjamin: The Turn of the Screw, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], pc set (0, 5), self-rotational interval pattern 5-9-
  • Carter, Elliott: String Quartet, No.2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], pc set (0, 2)
  • Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], pc set (0, 6)
  • Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 6)
  • Eisler, Hanns: Praeludium und Fuge über B-A-C-H for String Trio, Op.46, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], pc set (0, 1), self-rotational interval pattern 11-3-
  • Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 8, [0, 1, 7, 6, 8, 9, 3, 2, 4, 5, 11, 10], pc set (0, 1)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9], pc set (0, 6)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 1, [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], pc set (0, 1), self-rotational interval pattern 11-11-
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], pc set (0, 3)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 5, [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], pc set (0, 5)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.14, [0, 2, 5, 7, 8, 10, 11, 9, 6, 4, 3, 1], pc set (0, 2)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.19, [0, 1, 4, 5, 8, 9, 11, 10, 7, 6, 3, 2], pc set (0, 1)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.29, [0, 1, 6, 7, 8, 9, 11, 10, 5, 4, 3, 2], pc set (0, 1)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.31, [0, 1, 2, 3, 6, 7, 11, 10, 9, 8, 5, 4], pc set (0, 1)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.6, [0, 2, 4, 6, 8, 10, 9, 7, 5, 3, 1, 11], pc set (0, 2)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.1, [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], pc set (0, 1)
  • Hendler, Maximilian: aus den fünf Liedern nach Texten von Elisabeth Pöschl : 'Sonnenaufgang' für Singstimme und Klavier, Op.44-1, [0, 11, 2, 1, 5, 6, 4, 3, 8, 7, 9, 10], pc set (0, 1)
  • Kalodiki, Georgia: Six Sketches for piano, [0, 7, 6, 1, 2, 9, 8, 3, 4, 11, 5, 10], pc set (0, 5)
  • Lackner, Peter: INITIUM TRIPLEX. 28. Juni 2016; für drei Tasteninstrumente, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], pc set (0, 1), self-rotational interval pattern 1-1-
  • Lackner, Peter: Kanon T2 à 6, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], pc set (0, 5), self-rotational interval pattern 5-9-
  • Lackner, Peter: Kanon T4 á 3, [0, 5, 7, 2, 4, 9, 11, 6, 8, 1, 3, 10], pc set (0, 5)
  • Lackner, Peter: Kanon für Flöte solo und N. N., [0, 3, 7, 10, 2, 5, 11, 8, 4, 1, 9, 6], pc set (0, 3)
  • Lackner, Peter: Kanon für drei Klaviere. 28. 6. 2016, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], pc set (0, 1), self-rotational interval pattern 1-1-
  • Lackner, Peter: Moebiusband I für zwei Melodieinstrumente, [0, 6, 8, 2, 7, 1, 11, 5, 3, 9, 4, 10], pc set (0, 6)
  • Lackner, Peter: Trauermusik für Fagott, Kontrafagott und Pauke, [0, 6, 2, 8, 10, 4, 11, 5, 9, 3, 1, 7], pc set (0, 6)
  • Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 6)
  • Lutosławski, Witold: Musique Funébre (Funeral Music), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], pc set (0, 6), self-rotational interval pattern 6-11-
  • Mamlok, Ursula: Haiku Settings, No.5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], pc set (0, 1)
  • Nono, Luigi: Ha venido, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], pc set (0, 6), self-rotational interval pattern 6-7-
  • Nono, Luigi: Intolleranza, Alto, [0, 6, 7, 1, 2, 8, 9, 3, 4, 10, 11, 5], pc set (0, 6), self-rotational interval pattern 6-1-
  • Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5], pc set (0, 2)
  • Nono, Luigi: Intolleranza, Soprano 1, [0, 3, 4, 7, 8, 5, 6, 9, 10, 1, 2, 11], pc set (0, 3)
  • Nono, Luigi: Intolleranza, Tenor 1, [0, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1], pc set (0, 6), self-rotational interval pattern 6-5-
  • Nono, Luigi: Intolleranza, Tenor 2, [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], pc set (0, 1)
  • Nono, Luigi: La terra e la compagna (sketch), Series 2, [0, 6, 1, 7, 11, 5, 2, 8, 10, 4, 3, 9], pc set (0, 6)
  • Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], pc set (0, 3)
  • Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7], pc set (0, 2)
  • Nono, Luigi: Variazioni canoniche sulla serie dell'Op.41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1)
  • Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], pc set (0, 3)
  • Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], pc set (0, 1)
  • Reynolds, Roger: Ambages, [0, 1, 4, 5, 7, 6, 8, 9, 10, 11, 2, 3], pc set (0, 1)
  • Rochberg, George: String Quartet, No.2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], pc set (0, 1)
  • Sande, Henrik: 4032 Töne für Klavier sechshändig, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], pc set (0, 5), self-rotational interval pattern 7-7-
  • Schnittke, Alfred: Concerto Grosso, No.1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], pc set (0, 1)
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], pc set (0, 1)
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], pc set (0, 1)
  • Schnittke, Alfred: Piano Sonata, No.1, mvt 2, mm. 72-76, [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], pc set (0, 6), self-rotational interval pattern 6-11-
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 2, [0, 3, 7, 10, 2, 11, 6, 9, 1, 4, 8, 5], pc set (0, 3)
  • Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], pc set (0, 3)
  • Schnittke, Alfred: String Quartet, No.4, mvt 2, m.40, [0, 5, 10, 3, 2, 7, 8, 1, 6, 11, 4, 9], pc set (0, 5)
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1)
  • Schnittke, Alfred: Symphony, No.7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1)
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], pc set (0, 1)
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1)
  • Schwantner, Joseph: ...and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], pc set (0, 1)
  • Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], pc set (0, 1)
  • Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 3)
  • Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], pc set (0, 6)
  • Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], pc set (0, 1)
  • Seiber, Mátyás: Ulysses, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 3)
  • Slonimsky, Nicholas: No. 1215a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 7, 2, 9, 4, 11, 6], pc set (0, 5)
  • Slonimsky, Nicholas: No. 1216a Foutths (Twelve-Tone Patterns), [0, 5, 10, 3, 7, 2, 9, 4, 8, 1, 6, 11], pc set (0, 5)
  • Slonimsky, Nicholas: No. 1217a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 11, 6, 1, 8, 4, 9, 2, 7], pc set (0, 5)
  • Slonimsky, Nicholas: No. 1218a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7], pc set (0, 5), self-rotational interval pattern 5-5-
  • Slonimsky, Nicholas: No. 1219a Fourths (Twelve-Tone Patterns), [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], pc set (0, 5), self-rotational interval pattern 5-9-
  • Slonimsky, Nicholas: No. 1220a Fifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], pc set (0, 5), self-rotational interval pattern 7-7-
  • Slonimsky, Nicholas: No. 1221a Fifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], pc set (0, 5), self-rotational interval pattern 7-7-
  • Slonimsky, Nicholas: No. 1222aFifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], pc set (0, 5), self-rotational interval pattern 7-7-
  • Slonimsky, Nicholas: No. 1224a Sixths (Twelve-Tone Patterns), [0, 9, 6, 3, 7, 10, 1, 4, 8, 5, 2, 11], pc set (0, 3)
  • Slonimsky, Nicholas: No. 1227a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 4, 2, 8, 6, 1, 11, 9, 7, 5, 3], pc set (0, 2)
  • Slonimsky, Nicholas: No. 1228a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 2, 4, 8, 6, 11, 1, 5, 3, 7, 9], pc set (0, 2)
  • Slonimsky, Nicholas: No. 1229a Major Sevenths (Twelve-Tone Patterns), [0, 11, 10, 9, 8, 7, 1, 2, 3, 4, 5, 6], pc set (0, 1)
  • Slonimsky, Nicholas: No. 1230a Major Sevenths (Twelve-Tone Patterns), [0, 11, 3, 4, 8, 7, 1, 2, 6, 5, 9, 10], pc set (0, 1)
  • Slonimsky, Nicholas: No. 1231a Major Sevenths (Twelve-Tone Patterns), [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1)
  • Slonimsky, Nicholas: No. 1265 Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11], pc set (0, 3)
  • Slonimsky, Nicholas: No. 1265a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11], pc set (0, 3)
  • Slonimsky, Nicholas: No. 1266a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], pc set (0, 3)
  • Slonimsky, Nicholas: No. 1294a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 9, 4, 7, 5, 2, 6, 3, 10, 1, 11, 8], pc set (0, 3)
  • Slonimsky, Nicholas: No. 1296a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 7, 8, 3, 4, 11, 6, 1, 2, 9, 10, 5], pc set (0, 5)
  • Slonimsky, Nicholas: No. 230 Ultrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 6, 5, 11, 4, 10, 9, 3, 8, 2, 1, 7], pc set (0, 6)
  • Slonimsky, Nicholas: No. 258 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 11, 10, 9, 4, 3, 2, 1, 8, 7, 6, 5], pc set (0, 1)
  • Slonimsky, Nicholas: No. 270 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 9, 7, 4, 2, 1, 11, 8, 6, 5, 3], pc set (0, 2)
  • Slonimsky, Nicholas: No. 277 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 7, 5, 4, 2, 11, 9, 8, 6, 3, 1], pc set (0, 2)
  • Slonimsky, Nicholas: No. 370 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], pc set (0, 5)
  • Slonimsky, Nicholas: No. 388 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 3, 9, 6, 4, 7, 1, 10, 8, 11, 5, 2], pc set (0, 3)
  • Slonimsky, Nicholas: No. 389 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 9, 3, 6, 4, 1, 7, 10, 8, 5, 11, 2], pc set (0, 3)
  • Slonimsky, Nicholas: No. 390 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 3, 9, 6, 4, 7, 1, 10, 8, 11, 5, 2], pc set (0, 3)
  • Slonimsky, Nicholas: No. 391 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 9, 3, 6, 4, 1, 7, 10, 8, 5, 11, 2], pc set (0, 3)
  • Slonimsky, Nicholas: No. 570 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 1], pc set (0, 3), self-rotational interval pattern 3-11-
  • Slonimsky, Nicholas: No. 572 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], pc set (0, 5), self-rotational interval pattern 5-9-
  • Slonimsky, Nicholas: No. 574 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], pc set (0, 5), self-rotational interval pattern 7-7-
  • Slonimsky, Nicholas: No. 576 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 9, 2, 11, 4, 1, 6, 3, 8, 5, 10, 7], pc set (0, 3), self-rotational interval pattern 9-5-
  • Slonimsky, Nicholas: No. 578 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], pc set (0, 1), self-rotational interval pattern 11-3-
  • Slonimsky, Nicholas: No. 579 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], pc set (0, 1), self-rotational interval pattern 11-3-
  • Slonimsky, Nicholas: No. 637 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], pc set (0, 1)
  • Slonimsky, Nicholas: No. 638 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 9, 10, 4, 3, 1, 2, 8, 7, 5, 6], pc set (0, 1)
  • Slonimsky, Nicholas: No. 641 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 7, 6, 5, 4, 8, 9, 10, 11], pc set (0, 1)
  • Slonimsky, Nicholas: No. 642 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], pc set (0, 1)
  • Slonimsky, Nicholas: No. 645 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 11, 10, 8, 9, 7, 6, 4, 5, 3, 2], pc set (0, 1)
  • Slonimsky, Nicholas: No. 648-654 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], pc set (0, 1), self-rotational interval pattern 1-1-
  • Slonimsky, Nicholas: No. 655-657 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], pc set (0, 1), self-rotational interval pattern 11-11-
  • Slonimsky, Nicholas: No. 692 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 3, 5, 8, 10, 11, 1, 4, 6, 7, 9], pc set (0, 2)
  • Slonimsky, Nicholas: No. 698 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 5, 7, 8, 10, 1, 3, 4, 6, 9, 11], pc set (0, 2)
  • Slonimsky, Nicholas: No. 736 Inter-Infra-Ultrapolation (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 7, 9, 8, 10, 3, 5, 4, 6, 11, 1], pc set (0, 2)
  • Slonimsky, Nicholas: No. 793 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], pc set (0, 1), self-rotational interval pattern 11-11-
  • Slonimsky, Nicholas: No. 813 Interpolation of Three Notes (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], pc set (0, 3)
  • Slonimsky, Nicholas: No. 822 Ultrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], pc set (0, 1), self-rotational interval pattern 11-11-
  • Slonimsky, Nicholas: No. 823 Ultrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 1, 10, 11, 8, 9, 6, 7, 4, 5, 2, 3], pc set (0, 1), self-rotational interval pattern 1-9-
  • Slonimsky, Nicholas: No. 824 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], pc set (0, 1), self-rotational interval pattern 11-11-
  • Slonimsky, Nicholas: No. 875 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], pc set (0, 6), self-rotational interval pattern 6-11-
  • Slonimsky, Nicholas: No. 909 Infra-Inter-Ultrapolation (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 9, 3, 6, 5, 2, 8, 11, 10, 7, 1, 4], pc set (0, 3)
  • Spinner, Leopold: Fantasy for Piano, Op.9 , [0, 1, 4, 5, 2, 3, 8, 9, 6, 7, 10, 11], pc set (0, 1)
  • Spinner, Leopold: Sonata for Clarinet and Piano, Op.17, [0, 3, 4, 1, 2, 5, 11, 8, 7, 10, 9, 6], pc set (0, 3)
  • Spinner, Leopold: Sonata for Violin and Piano, Op.1, [0, 7, 6, 1, 3, 8, 5, 10, 2, 9, 4, 11], pc set (0, 5)
  • Spinner, Leopold: String Quartet, No.2, Op.7, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 3)
  • Spinner, Leopold: String Quartet, Op.2, [0, 1, 7, 6, 11, 10, 4, 5, 8, 9, 3, 2], pc set (0, 1)
  • Talma, Louise: Three Bagatelles, Bagatelle 3, [0, 3, 4, 1, 5, 8, 10, 7, 2, 11, 6, 9], pc set (0, 3)
  • Webern, Anton: String Quartet, Op.28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], pc set (0, 1)
  • Webern, Anton: String Trio, Op.20, [0, 11, 6, 5, 10, 9, 1, 2, 7, 8, 4, 3], pc set (0, 1)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.1 - Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], pc set (0, 6)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], pc set (0, 1), self-rotational interval pattern 1-1-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7], pc set (0, 2)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 11, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], pc set (0, 1), self-rotational interval pattern 11-3-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], pc set (0, 2)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], pc set (0, 3)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 5, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], pc set (0, 5), self-rotational interval pattern 5-9-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 6, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], pc set (0, 6), self-rotational interval pattern 6-7-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 7, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], pc set (0, 5), self-rotational interval pattern 7-7-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], pc set (0, 3)
  • Zillig, Wilfried: Das Opfer, [0, 11, 3, 4, 8, 7, 10, 9, 1, 2, 6, 5], pc set (0, 1)
  • Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], pc set (0, 2)

4x Same Trichord

Now for cases of 4x the same trichord (pitches 1-3, 4-6, 7-9 and 10-12).

  • Apostel, Hans Erich: Fischerhaus-Serenade, Op.45, [0, 4, 8, 3, 11, 7, 1, 9, 5, 2, 10, 6], pc set (0, 4, 8)
  • Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 4)
  • Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6], pc set (0, 1, 3)
  • Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], pc set (0, 1, 3)
  • Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6], pc set (0, 1, 4)
  • Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6], pc set (0, 1, 4)
  • Baker, David: “Status Symbol” from "The Black Experience", [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4)
  • Barber, Samuel: Piano Sonata, Op.26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], pc set (0, 4, 8)
  • Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1], pc set (0, 2, 5)
  • Berg, Alban: Lulu, whole-tone row, [0, 2, 4, 6, 10, 8, 11, 7, 9, 1, 3, 5], pc set (0, 2, 4)
  • Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4)
  • Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5], pc set (0, 2, 4)
  • Berio, Luciano: Cinque Variazioni, [0, 2, 4, 1, 3, 5, 8, 10, 6, 7, 9, 11], pc set (0, 2, 4)
  • Berio, Luciano: Sequenza I, [0, 11, 10, 9, 8, 7, 4, 6, 5, 3, 1, 2], pc set (0, 1, 2)
  • Carter, Elliott: String Quartet, No.2 (sketch) 1, [0, 4, 8, 3, 7, 11, 6, 10, 2, 9, 1, 5], pc set (0, 4, 8), self-rotational interval pattern 4-4-7-
  • Carter, Elliott: String Quartet, No.2 (sketch) 2, [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], pc set (0, 4, 8), self-rotational interval pattern 8-8-11-
  • Carter, Elliott: String Quartet, No.2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], pc set (0, 2, 4)
  • Cordero, Roque: Sonata breve, [0, 1, 4, 11, 10, 7, 5, 8, 9, 6, 3, 2], pc set (0, 1, 4)
  • Crosse, Gordon: Elegy for Small Orchestra, Op.1, [0, 11, 3, 1, 9, 10, 5, 6, 2, 4, 8, 7], pc set (0, 1, 4)
  • Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], pc set (0, 2, 6)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], pc set (0, 1, 6)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row G, [0, 11, 5, 10, 4, 3, 9, 8, 2, 1, 6, 7], pc set (0, 1, 6)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6)
  • Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 1, 6)
  • Dessau, Paul: Les Voix, [0, 11, 6, 8, 9, 3, 4, 10, 5, 7, 2, 1], pc set (0, 1, 6)
  • Eisler, Hanns: Der Zweck der Musik, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4)
  • Eisler, Hanns: Gegen den Krieg, Op.55, [0, 3, 2, 5, 4, 7, 6, 8, 9, 10, 1, 11], pc set (0, 1, 3)
  • Finney, Ross Lee: Fantasy in Two Movements for solo violin, [0, 1, 3, 5, 4, 2, 11, 10, 8, 6, 7, 9], pc set (0, 1, 3)
  • Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1, 3)
  • Ginastera, Alberto: Cantata para América Mágica, Op.27, [0, 7, 6, 5, 10, 11, 8, 1, 2, 9, 4, 3], pc set (0, 1, 6)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 1, [0, 1, 6, 7, 8, 2, 10, 11, 5, 4, 9, 3], pc set (0, 1, 6)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 2, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 3)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 5, [0, 1, 7, 6, 5, 11, 2, 8, 9, 10, 4, 3], pc set (0, 1, 6)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11], pc set (0, 1, 2)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1, 5)
  • Ginastera, Alberto: Violin Concerto, Op.30, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 3)
  • Gotham, Mark: Move On!, [0, 4, 3, 10, 6, 9, 1, 5, 2, 8, 11, 7], pc set (0, 1, 4)
  • Harrison, Lou: Untitled Piano Piece, [0, 10, 4, 3, 9, 7, 2, 8, 6, 1, 11, 5], pc set (0, 2, 6)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.362-365), [0, 7, 5, 3, 10, 8, 4, 2, 9, 6, 11, 1], pc set (0, 2, 7)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.15, [0, 1, 3, 6, 7, 9, 11, 10, 8, 5, 4, 2], pc set (0, 1, 3)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.18, [0, 3, 4, 6, 9, 10, 11, 8, 7, 5, 2, 1], pc set (0, 1, 4)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.19, [0, 1, 4, 5, 8, 9, 11, 10, 7, 6, 3, 2], pc set (0, 1, 4)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.30, [0, 1, 2, 6, 7, 8, 11, 10, 9, 5, 4, 3], pc set (0, 1, 2)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.6, [0, 2, 4, 6, 8, 10, 9, 7, 5, 3, 1, 11], pc set (0, 2, 4)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.1, [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], pc set (0, 1, 2)
  • Huber, Klaus: Zwei Sätze, [0, 3, 1, 10, 11, 8, 6, 9, 7, 2, 4, 5], pc set (0, 1, 3)
  • Ives, Charles: On the Antipodes, [0, 3, 11, 8, 4, 7, 10, 9, 6, 2, 5, 1], pc set (0, 1, 4)
  • Jung, Joachim: , [0, 11, 3, 10, 2, 1, 7, 8, 4, 9, 5, 6], pc set (0, 1, 4)
  • Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5], pc set (0, 1, 4)
  • Lackner, Peter: 'An alle Außerirdischen'. Kanon für drei Singstimmen, Kontrabaß und Klavier, [0, 4, 9, 7, 11, 2, 5, 1, 8, 10, 6, 3], pc set (0, 3, 7)
  • Lackner, Peter: 'Euphorbia obesa'. Kanon für Oboe, Englischhorn und Fagott., [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5], pc set (0, 2, 4)
  • Lackner, Peter: 2. Kanonzyklus, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6], pc set (0, 2, 4)
  • Lackner, Peter: Das Buch der Wandlungen I für Frauenstimmen und,oder Klavier, [0, 8, 3, 5, 1, 10, 7, 11, 4, 2, 6, 9], pc set (0, 3, 7)
  • Lackner, Peter: KANON für A, O & Gsellmanns Weltmaschine. 8. Oktober 1958,2008, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3], pc set (0, 2, 4)
  • Lackner, Peter: Kanon T3 à 4, [0, 2, 7, 3, 5, 10, 6, 8, 1, 9, 11, 4], pc set (0, 2, 7), self-rotational interval pattern 2-5-8-
  • Lackner, Peter: Kanon T6 á 2, [0, 10, 8, 3, 1, 5, 6, 4, 2, 9, 7, 11], pc set (0, 2, 4)
  • Lackner, Peter: Kanon für Blockflötenquartett. April 2005, [0, 10, 11, 3, 1, 2, 8, 7, 9, 5, 4, 6], pc set (0, 1, 2)
  • Lackner, Peter: Kanon für Flöte solo und N. N., [0, 3, 7, 10, 2, 5, 11, 8, 4, 1, 9, 6], pc set (0, 3, 7)
  • Lackner, Peter: Kanon für Flöte und Elektronik. Februar 1999, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6], pc set (0, 2, 4)
  • Lackner, Peter: Kanon für Klavierquartett, [0, 8, 6, 11, 3, 9, 1, 5, 7, 2, 10, 4], pc set (0, 2, 6)
  • Lackner, Peter: Kanon für Klavierquartett. 27. Juni 1991, [0, 2, 6, 9, 11, 3, 7, 5, 1, 10, 8, 4], pc set (0, 2, 6)
  • Lackner, Peter: Kanon für Klaviertrio, [0, 2, 4, 9, 5, 7, 3, 1, 11, 6, 10, 8], pc set (0, 2, 4)
  • Lackner, Peter: Kanon für Orgel, zweimanualiges Cembalo oder Klavier, [0, 7, 2, 11, 4, 9, 6, 8, 1, 5, 3, 10], pc set (0, 2, 7)
  • Lackner, Peter: Kanon für Orgel. 21. November 1994, 4. Februar 1995, [0, 8, 5, 1, 4, 9, 2, 11, 7, 3, 10, 6], pc set (0, 3, 7)
  • Lackner, Peter: Kanon für Schwegel, diatonisches Hackbrett und Violine, [0, 8, 4, 10, 6, 2, 5, 1, 9, 3, 11, 7], pc set (0, 4, 8)
  • Lackner, Peter: Kanon für Schwegel und zwei Geigen, [0, 6, 4, 2, 10, 8, 9, 3, 5, 7, 11, 1], pc set (0, 2, 6)
  • Lackner, Peter: Kanon für Streichquartett. 22.September 2003, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3], pc set (0, 2, 4)
  • Lackner, Peter: Kanon für Violine solo, [0, 11, 2, 7, 10, 9, 3, 4, 1, 8, 5, 6], pc set (0, 1, 3)
  • Lackner, Peter: Kanon für drei Violinen I, II August 1998, [0, 2, 10, 4, 8, 6, 1, 9, 11, 5, 3, 7], pc set (0, 2, 4)
  • Lackner, Peter: Kanon für zwei Gitarren. September 2001, [0, 5, 3, 9, 11, 6, 7, 2, 4, 10, 8, 1], pc set (0, 2, 5)
  • Lackner, Peter: Kanon für zwei Singstimmen und Ensemble zur Skulpturengruppe LEM von Axel Kirchmayr und einem Text von Hannes Waltl. September 2004, [0, 2, 9, 10, 5, 7, 1, 11, 4, 3, 8, 6], pc set (0, 2, 5)
  • Lackner, Peter: Kanon für zwei Violinen, [0, 7, 4, 5, 9, 2, 3, 8, 11, 10, 6, 1], pc set (0, 3, 7)
  • Lackner, Peter: Kanon für zwei Violinen. Frühjahr 1992, [0, 2, 4, 7, 9, 11, 5, 3, 1, 10, 8, 6], pc set (0, 2, 4)
  • Lackner, Peter: Kanon für zwei Violinen und Klavier. 1. Dezember 2004, [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5], pc set (0, 2, 4)
  • Lackner, Peter: Trauermusik für Fagott, Kontrafagott und Pauke, [0, 6, 2, 8, 10, 4, 11, 5, 9, 3, 1, 7], pc set (0, 2, 6)
  • Lackner, Peter: kgV (3,4) [zweistimmiger Kanon für Klavier], [0, 10, 2, 3, 5, 7, 1, 11, 9, 8, 4, 6], pc set (0, 2, 4)
  • Lang, Bernhard: 'Der Golem' nach Gustav Meyrinck, [0, 4, 7, 8, 11, 3, 5, 2, 9, 1, 10, 6], pc set (0, 3, 7)
  • Leibowitz, René: Trois pièces pour piano, Op.19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11], pc set (0, 1, 4)
  • Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 1, 6)
  • Liszt, Franz: Eine Faust Symphonie, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], pc set (0, 4, 8), self-rotational interval pattern 4-4-3-
  • Luo, Zhong-Rong: Three Piano Pieces, "Arabeque", row 2, [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 10, 5], pc set (0, 2, 7)
  • Lutyens, Elisabeth: Motet (Excerota Tractati Logico-Philosophici), Op.27, [0, 11, 3, 7, 8, 4, 2, 6, 5, 1, 9, 10], pc set (0, 1, 4)
  • Mamlok, Ursula: Haiku Settings, No.5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], pc set (0, 1, 4)
  • Moevs, Robert: Musica da Camera, [0, 1, 11, 3, 4, 2, 9, 10, 8, 7, 5, 6], pc set (0, 1, 2)
  • Morris, Robert: Sung Song, [0, 3, 7, 6, 9, 2, 10, 5, 1, 8, 4, 11], pc set (0, 3, 7)
  • Nono, Luigi: Incontri, [0, 2, 3, 8, 9, 6, 4, 5, 7, 11, 1, 10], pc set (0, 1, 3)
  • Nono, Luigi: Variazioni canoniche sulla serie dell'Op.41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4)
  • Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 1, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], pc set (0, 4, 8), self-rotational interval pattern 4-4-3-
  • Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], pc set (0, 1, 3)
  • Rochberg, George: Sonata-Fantasia, [0, 11, 10, 4, 5, 6, 9, 8, 7, 1, 2, 3], pc set (0, 1, 2)
  • Sande, Henrik: 'Volkslied' für zwei Singstimmen und Klavier. 24. 12. 2015, [0, 2, 4, 5, 7, 9, 10, 8, 6, 3, 1, 11], pc set (0, 2, 4)
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], pc set (0, 1, 3)
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1, 3)
  • Schnittke, Alfred: Symphony, No.7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1, 2)
  • Schoenberg, Arnold: Die Jakobsleiter, [0, 1, 4, 3, 7, 6, 11, 2, 10, 9, 5, 8], pc set (0, 1, 4)
  • Schoenberg, Arnold: Modern Psalms, The First Psalm, Op.50c, [0, 11, 8, 4, 7, 3, 1, 5, 2, 6, 9, 10], pc set (0, 1, 4)
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], pc set (0, 1, 4)
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4)
  • Schoenberg, Arnold: Serenade, mvt 5, "Tanzscene", Op.24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5], pc set (0, 1, 3)
  • Schoenberg, Arnold: Suite, Op.29, [0, 4, 3, 7, 11, 8, 9, 6, 5, 1, 2, 10], pc set (0, 1, 4)
  • Schoenberg, Arnold: Three Songs, No.3, "Madchenlied", Op.48, [0, 6, 8, 10, 2, 4, 9, 5, 3, 11, 7, 1], pc set (0, 2, 6)
  • Schwantner, Joseph: ...and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], pc set (0, 1, 4)
  • Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], pc set (0, 1, 4)
  • Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 4)
  • Schwantner, Joseph: In Aeternum (Principal Row), [0, 4, 11, 6, 10, 5, 1, 9, 2, 7, 3, 8], pc set (0, 1, 5)
  • Seiber, Mátyás: Ulysses, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4)
  • Slonimsky, Nicholas: No. 1214a Thirds (Twelve-Tone Patterns), [0, 4, 8, 11, 3, 7, 6, 10, 2, 5, 9, 1], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1215a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 7, 2, 9, 4, 11, 6], pc set (0, 2, 7)
  • Slonimsky, Nicholas: No. 1223a Sixths (Twelve-Tone Patterns), [0, 8, 4, 1, 5, 9, 6, 2, 10, 7, 11, 3], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1225a Sixths (Twelve-Tone Patterns), [0, 8, 4, 7, 11, 3, 6, 2, 10, 1, 5, 9], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1226a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 8, 2, 4, 6, 1, 11, 9, 3, 5, 7], pc set (0, 2, 4)
  • Slonimsky, Nicholas: No. 1229a Major Sevenths (Twelve-Tone Patterns), [0, 11, 10, 9, 8, 7, 1, 2, 3, 4, 5, 6], pc set (0, 1, 2)
  • Slonimsky, Nicholas: No. 1231a Major Sevenths (Twelve-Tone Patterns), [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1, 5)
  • Slonimsky, Nicholas: No. 1242a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals), [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1251a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 6, 9, 2, 5, 8, 11, 4], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1251b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 11, 6, 2, 10, 7, 4, 1, 9], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1252a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 5, 9, 2, 6, 8, 11, 4], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1252b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 10, 6, 2, 11, 7, 4, 1, 9], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1253a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 5, 8, 11, 3, 6, 9, 2], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1253b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 1, 9, 6, 4, 11, 7, 5, 2, 10], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1254a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 1], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1254b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 1, 10, 6, 4, 11, 7, 5, 2, 9], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1255a [Slonimsky: Moto Perpetuo] Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 6, 9, 2, 5, 8, 11, 3], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1255b [Slonimsky: Moto Perpetuo] Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 2, 9, 6, 5, 1, 10, 7, 4, 11], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1256a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 5, 8, 11, 4, 6, 9, 1], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1256b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 4, 2, 11, 7, 5, 1, 8, 6, 3, 10], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1269a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 1, 5, 6, 10, 2, 3, 7, 11], pc set (0, 4, 8), self-rotational interval pattern 4-4-1-
  • Slonimsky, Nicholas: No. 1269b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], pc set (0, 4, 8), self-rotational interval pattern 8-8-11-
  • Slonimsky, Nicholas: No. 1270a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 2, 6, 7, 11, 3, 5, 9, 1], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1270b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 2, 10, 6, 3, 11, 7, 5, 1, 9], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1271a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], pc set (0, 4, 8), self-rotational interval pattern 4-4-3-
  • Slonimsky, Nicholas: No. 1271b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7], pc set (0, 4, 8), self-rotational interval pattern 8-8-9-
  • Slonimsky, Nicholas: No. 1272a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 6, 9, 5, 2, 11, 8, 4], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1272b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 6, 1, 2, 5, 9, 8, 4, 11], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1273a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 5, 9, 6, 2, 11, 8, 4], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1273b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 5, 1, 2, 6, 9, 8, 4, 11], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1274a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 5, 9, 6, 2, 11, 8, 3], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1274b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 5, 1, 2, 6, 9, 8, 3, 11], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1275a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 5, 9, 6, 1, 11, 8, 3], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1275b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 5, 2, 1, 6, 9, 8, 3, 11], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1276a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 6, 9, 5, 2, 11, 8, 3], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1276b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 6, 1, 2, 5, 9, 8, 3, 11], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1277a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 5, 8, 4, 11, 9, 6, 1], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1277b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 5, 2, 4, 8, 11, 9, 6, 1], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 1290a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 1, 5, 6, 2, 10, 7, 3, 11], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1290b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 5, 1, 10, 2, 6, 7, 3, 11], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1291a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 2, 6, 7, 3, 11, 9, 5, 1], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1291b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 6, 2, 11, 3, 7, 9, 5, 1], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1292a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 6, 2, 1, 9, 5], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1292b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 7, 3, 2, 6, 10, 9, 5, 1], pc set (0, 4, 8)
  • Slonimsky, Nicholas: No. 1293a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4)
  • Slonimsky, Nicholas: No. 1293b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 3, 1, 11, 10, 8, 6, 9, 7, 5, 4, 2], pc set (0, 1, 3)
  • Slonimsky, Nicholas: No. 1296a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 7, 8, 3, 4, 11, 6, 1, 2, 9, 10, 5], pc set (0, 1, 5)
  • Slonimsky, Nicholas: No. 1297b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 10, 8, 1, 3, 5, 6, 4, 2, 7, 9, 11], pc set (0, 2, 4)
  • Slonimsky, Nicholas: No. 1316 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 7, 4, 5, 9, 2, 8, 3, 11, 10, 1, 6], pc set (0, 3, 7)
  • Slonimsky, Nicholas: No. 230 Ultrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 6, 5, 11, 4, 10, 9, 3, 8, 2, 1, 7], pc set (0, 1, 6)
  • Slonimsky, Nicholas: No. 405 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 7, 5, 3, 10, 8, 6, 1, 11, 9, 4, 2], pc set (0, 2, 7), self-rotational interval pattern 7-10-10-
  • Slonimsky, Nicholas: No. 407 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], pc set (0, 4, 8), self-rotational interval pattern 8-8-11-
  • Slonimsky, Nicholas: No. 410 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 7, 3, 11, 10, 6, 2, 1, 9, 5, 4], pc set (0, 1, 5), self-rotational interval pattern 8-11-8-
  • Slonimsky, Nicholas: No. 415 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 5, 3, 1, 8, 6, 4, 11, 9, 7, 2], pc set (0, 2, 7), self-rotational interval pattern 10-7-10-
  • Slonimsky, Nicholas: No. 417 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 4, 3, 2, 7, 6, 5, 10, 9, 8, 1], pc set (0, 1, 5), self-rotational interval pattern 11-5-11-
  • Slonimsky, Nicholas: No. 420 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 7, 3, 2, 10, 6, 5, 1, 9, 8, 4], pc set (0, 1, 5), self-rotational interval pattern 11-8-8-
  • Slonimsky, Nicholas: No. 453 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 10, 3, 2, 1, 6, 5, 4, 9, 8, 7], pc set (0, 1, 2), self-rotational interval pattern 11-11-5-
  • Slonimsky, Nicholas: No. 456 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 7, 3, 2, 10, 6, 5, 1, 9, 8, 4], pc set (0, 1, 5), self-rotational interval pattern 11-8-8-
  • Slonimsky, Nicholas: No. 459 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 8, 3, 1, 11, 6, 4, 2, 9, 7, 5], pc set (0, 2, 4), self-rotational interval pattern 10-10-7-
  • Slonimsky, Nicholas: No. 466 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 7, 3, 11, 10, 6, 2, 1, 9, 5, 4], pc set (0, 1, 5), self-rotational interval pattern 8-11-8-
  • Slonimsky, Nicholas: No. 469 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], pc set (0, 4, 8), self-rotational interval pattern 8-8-11-
  • Slonimsky, Nicholas: No. 482 Infra-Interpolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 1, 3, 2, 4, 6, 5, 7, 9, 8, 10], pc set (0, 1, 2), self-rotational interval pattern 11-2-2-
  • Slonimsky, Nicholas: No. 485 Infra-Interpolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 2, 3, 1, 5, 6, 4, 8, 9, 7, 11], pc set (0, 2, 4), self-rotational interval pattern 10-4-1-
  • Slonimsky, Nicholas: No. 493 Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 2], pc set (0, 1, 5), self-rotational interval pattern 1-4-10-
  • Slonimsky, Nicholas: No. 496 [Shostakovitch: Prelude No, 2] Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 2, 4, 3, 5, 7, 6, 8, 10, 9, 11, 1], pc set (0, 2, 4), self-rotational interval pattern 2-2-11-
  • Slonimsky, Nicholas: No. 499 Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 2, 7, 3, 5, 10, 6, 8, 1, 9, 11, 4], pc set (0, 2, 7), self-rotational interval pattern 2-5-8-
  • Slonimsky, Nicholas: No. 500 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 4, 3, 2, 7, 6, 5, 10, 9, 8, 1], pc set (0, 1, 5), self-rotational interval pattern 11-5-11-
  • Slonimsky, Nicholas: No. 503 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 7, 3, 2, 10, 6, 5, 1, 9, 8, 4], pc set (0, 1, 5), self-rotational interval pattern 11-8-8-
  • Slonimsky, Nicholas: No. 505 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 5, 3, 1, 8, 6, 4, 11, 9, 7, 2], pc set (0, 2, 7), self-rotational interval pattern 10-7-10-
  • Slonimsky, Nicholas: No. 508 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 8, 3, 1, 11, 6, 4, 2, 9, 7, 5], pc set (0, 2, 4), self-rotational interval pattern 10-10-7-
  • Slonimsky, Nicholas: No. 512 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], pc set (0, 4, 8), self-rotational interval pattern 8-8-11-
  • Slonimsky, Nicholas: No. 639 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 5, 4, 3, 6, 7, 8, 11, 10, 9], pc set (0, 1, 2)
  • Slonimsky, Nicholas: No. 640 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 10, 7, 8, 9, 6, 5, 4, 1, 2, 3], pc set (0, 1, 2)
  • Slonimsky, Nicholas: No. 642 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], pc set (0, 1, 2)
  • Slonimsky, Nicholas: No. 746 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 1, 5, 9, 10, 2, 6, 7, 11, 3, 4, 8], pc set (0, 1, 5), self-rotational interval pattern 1-4-4-
  • Slonimsky, Nicholas: No. 749 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 5, 10], pc set (0, 2, 7), self-rotational interval pattern 2-5-2-
  • Slonimsky, Nicholas: No. 753 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 4, 8, 9, 1, 5, 6, 10, 2, 3, 7, 11], pc set (0, 4, 8), self-rotational interval pattern 4-4-1-
  • Slonimsky, Nicholas: No. 754 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 5, 7, 9, 2, 4, 6, 11, 1, 3, 8, 10], pc set (0, 2, 7), self-rotational interval pattern 5-2-2-
  • Slonimsky, Nicholas: No. 794 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 10, 11, 9, 7, 8, 6, 4, 5, 3, 1, 2], pc set (0, 1, 2), self-rotational interval pattern 10-1-10-
  • Slonimsky, Nicholas: No. 795 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 8, 1, 9, 5, 10, 6, 2, 7, 3, 11, 4], pc set (0, 1, 5), self-rotational interval pattern 8-5-8-
  • Slonimsky, Nicholas: No. 799 Infra-Infrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 5, 10], pc set (0, 2, 7), self-rotational interval pattern 2-5-2-
  • Slonimsky, Nicholas: No. 903 Inter-Ultrapolation (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 4, 8, 5, 9, 1, 10, 2, 6, 3, 7, 11], pc set (0, 4, 8), self-rotational interval pattern 4-4-9-
  • Slonimsky, Nicholas: No. 915 Miscellaneous Patterns (Diatessaron Progression; Equal Division of Five Octaves into Twelve Parts), [0, 10, 2, 8, 4, 6, 5, 3, 7, 1, 9, 11], pc set (0, 2, 4)
  • Slonimsky, Nicholas: No. 997 Infra-Interpolation (Diapente Progression; Equal Division of Seven Octaves into Twelve Parts), [0, 8, 4, 7, 3, 11, 2, 10, 6, 9, 5, 1], pc set (0, 4, 8), self-rotational interval pattern 8-8-3-
  • Smith, Hale: Contours for Orchestra, [0, 5, 6, 4, 10, 11, 7, 2, 1, 3, 9, 8], pc set (0, 1, 6)
  • Spinner, Leopold: Chamber Symphony, Op.28, [0, 11, 10, 6, 4, 5, 2, 1, 3, 7, 8, 9], pc set (0, 1, 2)
  • Spinner, Leopold: Ricercata, Op.21, [0, 11, 8, 10, 2, 1, 4, 3, 7, 9, 6, 5], pc set (0, 1, 4)
  • Spinner, Leopold: Sonata for Clarinet and Piano, Op.17, [0, 3, 4, 1, 2, 5, 11, 8, 7, 10, 9, 6], pc set (0, 1, 4)
  • Spinner, Leopold: Sonata for Piano, Op.3, [0, 9, 8, 6, 7, 10, 1, 4, 5, 3, 2, 11], pc set (0, 1, 4)
  • Spinner, Leopold: Sonatina for Cello and Piano, Op.26, [0, 1, 11, 2, 4, 3, 9, 10, 8, 5, 7, 6], pc set (0, 1, 2)
  • Spinner, Leopold: String Quartet, No.2, Op.7, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4)
  • Spinner, Leopold: Trio for Clarinet, Cello and Piano, [0, 1, 7, 6, 5, 11, 10, 3, 4, 2, 9, 8], pc set (0, 1, 6)
  • Spinner, Leopold: Trio for Violin, Cello, and Piano, Op.6, [0, 1, 7, 4, 10, 9, 6, 5, 11, 8, 2, 3], pc set (0, 1, 6)
  • Stravinsky, Igor: Fanfare for a New Theater, [0, 11, 1, 3, 4, 2, 5, 7, 6, 8, 10, 9], pc set (0, 1, 2)
  • Talma, Louise: Six Etudes, Etude 4, [0, 1, 5, 9, 4, 8, 7, 6, 11, 2, 10, 3], pc set (0, 1, 5)
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 5, [0, 4, 3, 10, 6, 9, 1, 5, 2, 8, 11, 7], pc set (0, 1, 4)
  • Wang, Jian-Zhong: Five Pieces for Piano no. 1, "Pastorale" (variant), [0, 3, 5, 7, 4, 2, 11, 9, 6, 8, 10, 1], pc set (0, 2, 5)
  • Weber, Ben: Fantasia (Variations), Op.25, [0, 1, 5, 9, 10, 2, 6, 11, 7, 4, 3, 8], pc set (0, 1, 5)
  • Webern, Anton: Op.32 (un-finished), initial sketch, [0, 1, 9, 11, 3, 2, 7, 6, 10, 8, 4, 5], pc set (0, 1, 4)
  • Webern, Anton: Op.32 (un-finished), later sketch, [0, 1, 2, 11, 10, 9, 5, 4, 3, 6, 7, 8], pc set (0, 1, 2)
  • Webern, Anton: Cantata I, Op.29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5], pc set (0, 1, 4)
  • Webern, Anton: Concerto for Nine Instruments (Konzert), Op.24, [0, 11, 3, 4, 8, 7, 9, 5, 6, 1, 2, 10], pc set (0, 1, 4)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.1 - Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], pc set (0, 1, 6)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.2 - Study on Thirds, [0, 11, 9, 8, 10, 7, 6, 5, 3, 2, 4, 1], pc set (0, 1, 3)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], pc set (0, 2, 4)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], pc set (0, 1, 3)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1], pc set (0, 4, 8)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 8, [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7], pc set (0, 4, 8), self-rotational interval pattern 8-8-9-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], pc set (0, 1, 4)
  • Wuorinen, Charles: Second Sonata, Voice 3, [0, 2, 4, 3, 5, 1, 9, 7, 11, 10, 8, 6], pc set (0, 2, 4)
  • Zhou, Jin-Min: Piano Quintet, Scherzo, [0, 10, 5, 4, 6, 11, 7, 9, 2, 3, 1, 8], pc set (0, 2, 7)
  • Zillig, Wilfried: Das Opfer, [0, 11, 3, 4, 8, 7, 10, 9, 1, 2, 6, 5], pc set (0, 1, 4)
  • Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], pc set (0, 2, 4)

3x Same Tetrachord

Next up we have cases of 3x the same tetrachord (pitches 1-4, 5-8, and 8-12).

  • Argento, Dominick: A Water Bird Talk, Bird Row, [0, 7, 2, 1, 10, 9, 3, 8, 5, 4, 11, 6], pc set (0, 1, 2, 7)
  • Babbitt, Milton: Woodwind Quartet, [0, 3, 1, 2, 11, 10, 8, 9, 5, 7, 6, 4], pc set (0, 1, 2, 3)
  • Bach, Johann Sebastian: Chromatische Fantasie, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-2-
  • Bartók, Béla: String Quartet, No.4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7], pc set (0, 1, 6, 7), self-rotational interval pattern 5-1-5-5-
  • Berg, Alban: Lulu, Schigolch, [0, 2, 3, 1, 4, 5, 6, 7, 8, 9, 11, 10], pc set (0, 1, 2, 3)
  • Dallapiccola, Luigi: Ulisse [opera], [0, 2, 1, 3, 9, 8, 11, 10, 4, 6, 5, 7], pc set (0, 1, 2, 3)
  • David, Johann Nepomuk: Sonata for violin, Op.58, No.1, [0, 2, 3, 9, 11, 10, 5, 8, 1, 6, 4, 7], pc set (0, 1, 3, 6)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row A, [0, 6, 1, 7, 8, 3, 2, 9, 10, 5, 11, 4], pc set (0, 1, 6, 7)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6, 7)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6, 7)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row D, [0, 6, 1, 7, 8, 3, 2, 9, 10, 11, 5, 4], pc set (0, 1, 6, 7)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], pc set (0, 1, 6, 7)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row F, [0, 6, 1, 7, 3, 2, 8, 9, 10, 5, 11, 4], pc set (0, 1, 6, 7)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6, 7)
  • Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 1, 6, 7)
  • Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1, 2, 3)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 3, [0, 5, 6, 11, 2, 1, 8, 7, 10, 4, 9, 3], pc set (0, 1, 6, 7)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1], pc set (0, 1, 2, 3)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 8, [0, 1, 7, 6, 8, 9, 3, 2, 4, 5, 11, 10], pc set (0, 1, 6, 7), self-rotational interval pattern 1-6-11-2-
  • Ginastera, Alberto: Sonata for Cello and Piano, Op.49, [0, 3, 2, 1, 10, 11, 8, 9, 5, 4, 7, 6], pc set (0, 1, 2, 3)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9], pc set (0, 1, 6, 7), self-rotational interval pattern 6-5-6-3-
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-5-
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 5, [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], pc set (0, 1, 6, 7), self-rotational interval pattern 7-6-5-10-
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen; mit einer Zwölftonreihe von Dr. Fritz Racek, [0, 2, 9, 11, 4, 3, 6, 1, 10, 8, 5, 7], pc set (0, 2, 3, 5)
  • Hendler, Maximilian: aus den fünf Liedern nach Texten von Elisabeth Pöschl : 'Sonnenaufgang' für Singstimme und Klavier, Op.44-1, [0, 11, 2, 1, 5, 6, 4, 3, 8, 7, 9, 10], pc set (0, 1, 2, 3)
  • Huber, Klaus: Zwei Sätze, [0, 3, 1, 10, 11, 8, 6, 9, 7, 2, 4, 5], pc set (0, 2, 3, 5)
  • Jelinek, Hanns: Zwölftonwerk, Op.15, [0, 10, 5, 7, 3, 6, 1, 8, 11, 9, 2, 4], pc set (0, 2, 5, 7)
  • Kalodiki, Georgia: Six Sketches for piano, [0, 7, 6, 1, 2, 9, 8, 3, 4, 11, 5, 10], pc set (0, 1, 6, 7)
  • Lackner, Peter: Kanon T4 á 3, [0, 5, 7, 2, 4, 9, 11, 6, 8, 1, 3, 10], pc set (0, 2, 5, 7), self-rotational interval pattern 5-2-7-2-
  • Lang, Bernhard: HIOB Musiktheater für Orchester, Chor und Solisten, [0, 9, 11, 10, 5, 8, 6, 7, 2, 3, 1, 4], pc set (0, 1, 2, 3)
  • Li, Bao-Shu: Träumerei of Jiuzhai Gou, [0, 5, 7, 2, 4, 11, 9, 6, 3, 1, 8, 10], pc set (0, 2, 5, 7)
  • Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 1, 6, 7)
  • Luo, Zhong-Rong: String Quartet, No.2, [0, 3, 5, 10, 6, 8, 11, 1, 9, 2, 4, 7], pc set (0, 2, 5, 7)
  • Morris, Robert: Beautiful Beast, [0, 1, 3, 6, 5, 10, 7, 4, 9, 8, 11, 2], pc set (0, 1, 3, 6)
  • Morris, Robert: On the Go, [0, 9, 2, 3, 5, 8, 10, 11, 1, 4, 7, 6], pc set (0, 1, 3, 6)
  • Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5], pc set (0, 2, 5, 7), self-rotational interval pattern 2-5-2-7-
  • Nono, Luigi: Intolleranza, Tenor 2, [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], pc set (0, 1, 2, 3), self-rotational interval pattern 1-2-11-2-
  • Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], pc set (0, 3, 6, 9)
  • Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7], pc set (0, 2, 5, 7), self-rotational interval pattern 10-7-10-5-
  • Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-2-
  • Pärt, Arvo: Symphony, No.2, [0, 3, 1, 2, 4, 7, 5, 6, 8, 11, 9, 10], pc set (0, 1, 2, 3), self-rotational interval pattern 3-10-1-2-
  • Rochberg, George: String Quartet, No.2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], pc set (0, 1, 6, 7)
  • Schnittke, Alfred: Concerto Grosso, No.1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], pc set (0, 1, 2, 3)
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], pc set (0, 1, 2, 3)
  • Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-1-
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1, 2, 3)
  • Schnittke, Alfred: Symphony, No.7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1, 2, 3)
  • Schnittke, Alfred: Violin Sonata 2, [0, 10, 11, 9, 6, 8, 7, 5, 4, 1, 2, 3], pc set (0, 1, 2, 3)
  • Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], pc set (0, 1, 6, 7)
  • Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], pc set (0, 1, 6, 7)
  • Seiber, Mátyás: Sonata for Violin and Piano, [0, 1, 11, 10, 7, 6, 8, 9, 4, 3, 5, 2], pc set (0, 1, 2, 3)
  • Slonimsky, Nicholas: No. 1216a Foutths (Twelve-Tone Patterns), [0, 5, 10, 3, 7, 2, 9, 4, 8, 1, 6, 11], pc set (0, 2, 5, 7)
  • Slonimsky, Nicholas: No. 1217a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 11, 6, 1, 8, 4, 9, 2, 7], pc set (0, 2, 5, 7)
  • Slonimsky, Nicholas: No. 1224a Sixths (Twelve-Tone Patterns), [0, 9, 6, 3, 7, 10, 1, 4, 8, 5, 2, 11], pc set (0, 3, 6, 9)
  • Slonimsky, Nicholas: No. 1241a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals), [0, 9, 6, 3, 11, 5, 2, 8, 7, 10, 1, 4], pc set (0, 3, 6, 9)
  • Slonimsky, Nicholas: No. 1265 Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-4-
  • Slonimsky, Nicholas: No. 1265a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-4-
  • Slonimsky, Nicholas: No. 1266a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-5-
  • Slonimsky, Nicholas: No. 216 Ultrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 5, 10, 7, 4, 9, 2, 11, 8, 1, 6, 3], pc set (0, 2, 5, 7), self-rotational interval pattern 5-5-9-9-
  • Slonimsky, Nicholas: No. 221 Ultrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 6, 11, 9, 4, 10, 3, 1, 8, 2, 7, 5], pc set (0, 1, 3, 6), self-rotational interval pattern 6-5-10-7-
  • Slonimsky, Nicholas: No. 230 Ultrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 6, 5, 11, 4, 10, 9, 3, 8, 2, 1, 7], pc set (0, 1, 6, 7), self-rotational interval pattern 6-11-6-5-
  • Slonimsky, Nicholas: No. 258 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 11, 10, 9, 4, 3, 2, 1, 8, 7, 6, 5], pc set (0, 1, 2, 3), self-rotational interval pattern 11-11-11-7-
  • Slonimsky, Nicholas: No. 262 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 11, 10, 5, 4, 3, 2, 9, 8, 7, 6, 1], pc set (0, 1, 2, 7), self-rotational interval pattern 11-11-7-11-
  • Slonimsky, Nicholas: No. 270 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 9, 7, 4, 2, 1, 11, 8, 6, 5, 3], pc set (0, 2, 3, 5), self-rotational interval pattern 10-11-10-9-
  • Slonimsky, Nicholas: No. 277 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 7, 5, 4, 2, 11, 9, 8, 6, 3, 1], pc set (0, 2, 5, 7), self-rotational interval pattern 10-9-10-11-
  • Slonimsky, Nicholas: No. 340 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 11, 2, 9, 4, 3, 6, 1, 8, 7, 10, 5], pc set (0, 2, 3, 5), self-rotational interval pattern 11-3-7-7-
  • Slonimsky, Nicholas: No. 348 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 1, 7, 4, 2, 5, 11, 8, 6, 9, 3], pc set (0, 1, 3, 6), self-rotational interval pattern 10-3-6-9-
  • Slonimsky, Nicholas: No. 359 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 3, 9, 4, 2, 7, 1, 8, 6, 11, 5], pc set (0, 1, 3, 6), self-rotational interval pattern 10-5-6-7-
  • Slonimsky, Nicholas: No. 370 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], pc set (0, 1, 6, 7), self-rotational interval pattern 7-6-5-10-
  • Slonimsky, Nicholas: No. 371 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 7, 2, 5, 4, 11, 6, 9, 8, 3, 10, 1], pc set (0, 2, 5, 7), self-rotational interval pattern 7-7-3-11-
  • Slonimsky, Nicholas: No. 388 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 3, 9, 6, 4, 7, 1, 10, 8, 11, 5, 2], pc set (0, 3, 6, 9), self-rotational interval pattern 3-6-9-10-
  • Slonimsky, Nicholas: No. 389 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 9, 3, 6, 4, 1, 7, 10, 8, 5, 11, 2], pc set (0, 3, 6, 9), self-rotational interval pattern 9-6-3-10-
  • Slonimsky, Nicholas: No. 390 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 3, 9, 6, 4, 7, 1, 10, 8, 11, 5, 2], pc set (0, 3, 6, 9), self-rotational interval pattern 3-6-9-10-
  • Slonimsky, Nicholas: No. 391 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 9, 3, 6, 4, 1, 7, 10, 8, 5, 11, 2], pc set (0, 3, 6, 9), self-rotational interval pattern 9-6-3-10-
  • Slonimsky, Nicholas: No. 637 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], pc set (0, 1, 2, 3), self-rotational interval pattern 1-2-11-2-
  • Slonimsky, Nicholas: No. 638 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 9, 10, 4, 3, 1, 2, 8, 7, 5, 6], pc set (0, 1, 2, 3), self-rotational interval pattern 11-10-1-6-
  • Slonimsky, Nicholas: No. 641 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 7, 6, 5, 4, 8, 9, 10, 11], pc set (0, 1, 2, 3)
  • Slonimsky, Nicholas: No. 645 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 11, 10, 8, 9, 7, 6, 4, 5, 3, 2], pc set (0, 1, 2, 3), self-rotational interval pattern 1-10-11-10-
  • Slonimsky, Nicholas: No. 646 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 11, 6, 8, 9, 7, 2, 4, 5, 3, 10], pc set (0, 1, 2, 7), self-rotational interval pattern 1-10-7-2-
  • Slonimsky, Nicholas: No. 647 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 2, 11, 5, 8, 10, 7, 1, 4, 6, 3, 9], pc set (0, 1, 3, 6), self-rotational interval pattern 2-9-6-3-
  • Slonimsky, Nicholas: No. 685 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 1, 3, 6, 8, 9, 11, 2, 4, 5, 7, 10], pc set (0, 1, 3, 6), self-rotational interval pattern 1-2-3-2-
  • Slonimsky, Nicholas: No. 692 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 3, 5, 8, 10, 11, 1, 4, 6, 7, 9], pc set (0, 2, 3, 5), self-rotational interval pattern 2-1-2-3-
  • Slonimsky, Nicholas: No. 698 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 5, 7, 8, 10, 1, 3, 4, 6, 9, 11], pc set (0, 2, 5, 7), self-rotational interval pattern 2-3-2-1-
  • Slonimsky, Nicholas: No. 734 Inter-Infra-Ultrapolation (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 5, 11, 10, 8, 1, 7, 6, 4, 9, 3, 2], pc set (0, 1, 2, 7), self-rotational interval pattern 5-6-11-10-
  • Slonimsky, Nicholas: No. 735 Inter-Infra-Ultrapolation (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 6, 9, 11, 8, 2, 5, 7, 4, 10, 1, 3], pc set (0, 1, 3, 6), self-rotational interval pattern 6-3-2-9-
  • Slonimsky, Nicholas: No. 736 Inter-Infra-Ultrapolation (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 7, 9, 8, 10, 3, 5, 4, 6, 11, 1], pc set (0, 2, 5, 7), self-rotational interval pattern 2-5-2-11-
  • Slonimsky, Nicholas: No. 813 Interpolation of Three Notes (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-1-
  • Slonimsky, Nicholas: No. 909 Infra-Inter-Ultrapolation (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 9, 3, 6, 5, 2, 8, 11, 10, 7, 1, 4], pc set (0, 3, 6, 9), self-rotational interval pattern 9-6-3-11-
  • Spinner, Leopold: Sonatina for Piano, Op.22, [0, 3, 2, 1, 9, 10, 11, 8, 5, 4, 7, 6], pc set (0, 1, 2, 3)
  • Spinner, Leopold: String Quartet, Op.2, [0, 1, 7, 6, 11, 10, 4, 5, 8, 9, 3, 2], pc set (0, 1, 6, 7)
  • Stravinsky, Igor: Agon, "Double Pas-de-Deux", [0, 11, 1, 2, 9, 8, 10, 7, 5, 6, 4, 3], pc set (0, 1, 2, 3)
  • Webern, Anton: String Quartet, Op.28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], pc set (0, 1, 2, 3)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7], pc set (0, 1, 2, 3), self-rotational interval pattern 10-3-10-5-
  • Yun, Isang: Garak, [0, 3, 6, 1, 4, 5, 7, 10, 9, 11, 8, 2], pc set (0, 1, 3, 6)

2x Same Hexachord

Finally, we have the relatively common condition of 2x the same hexachord (pitches 1-6 and 7-12).

  • Apostel, Hans Erich: Fischerhaus-Serenade, Op.45, [0, 4, 8, 3, 11, 7, 1, 9, 5, 2, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  • Argento, Dominick: A Water Bird Talk, Lecturer Row, [0, 9, 5, 10, 2, 6, 3, 11, 8, 4, 1, 7], pc set (0, 1, 3, 5, 8, 9)
  • Argento, Dominick: From the Diary of Virginia Woolf, [0, 7, 6, 2, 11, 5, 3, 1, 8, 9, 4, 10], pc set (0, 1, 2, 5, 7, 8)
  • Atterberg, Kurt: Symphony 9 [Bbm], Op.54, 'Sinfonia visionaria', [0, 1, 5, 6, 7, 4, 8, 11, 10, 9, 2, 3], pc set (0, 1, 2, 3, 6, 7)
  • Babbitt, Milton: All Set, [0, 4, 5, 11, 6, 10, 7, 3, 1, 2, 9, 8], pc set (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: Arie da Capo, [0, 7, 8, 6, 2, 1, 10, 5, 11, 9, 4, 3], pc set (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Synthesizer, [0, 9, 1, 8, 4, 5, 7, 2, 3, 6, 10, 11], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Tenor and Six Instruments, [0, 11, 7, 5, 6, 1, 4, 3, 10, 8, 2, 9], pc set (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: Composition for Twelve Instruments, [0, 1, 4, 9, 5, 8, 3, 10, 2, 11, 6, 7], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Viola and Piano, [0, 3, 4, 8, 11, 7, 9, 2, 1, 5, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Du, row i, [0, 9, 2, 10, 11, 1, 7, 5, 4, 8, 3, 6], pc set (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Du, row ii, [0, 5, 2, 10, 9, 7, 1, 3, 4, 8, 11, 6], pc set (0, 2, 4, 5, 7, 9)
  • Babbitt, Milton: Groupwise, [0, 5, 4, 6, 10, 11, 2, 9, 3, 1, 8, 7], pc set (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: My Complements to Roger, [0, 3, 7, 8, 11, 4, 2, 6, 1, 9, 10, 5], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: My Ends Are My Beginnings, [0, 11, 4, 8, 7, 3, 5, 6, 9, 2, 10, 1], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Paraphrases, [0, 11, 3, 10, 8, 1, 7, 5, 4, 6, 2, 9], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Partitions, [0, 7, 9, 10, 2, 11, 5, 8, 4, 3, 1, 6], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Relata I, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], pc set (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Relata II, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], pc set (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Semi-simple variations, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: String Quartet, No.2, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: String Quartet, No.3, [0, 11, 6, 7, 5, 1, 10, 2, 9, 3, 4, 8], pc set (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: String Quartet, No.4, [0, 2, 9, 7, 11, 10, 1, 8, 4, 3, 5, 6], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Tableaux, [0, 11, 4, 6, 10, 5, 2, 1, 7, 9, 8, 3], pc set (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: The Crowded Air, [0, 8, 5, 7, 10, 6, 11, 1, 9, 3, 2, 4], pc set (0, 1, 2, 3, 5, 7)
  • Babbitt, Milton: The Widow's Lament in Springtime, [0, 11, 9, 2, 10, 7, 1, 4, 8, 3, 5, 6], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Three Compositions for Piano, No.1, [0, 5, 7, 4, 2, 3, 9, 1, 8, 11, 10, 6], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Two Sonnets of Gerard Manley Hopkins, [0, 2, 3, 4, 7, 5, 11, 6, 10, 9, 8, 1], pc set (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Vision and Prayer, [0, 11, 8, 3, 7, 4, 10, 9, 2, 6, 1, 5], pc set (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Woodwind Quartet, [0, 3, 1, 2, 11, 10, 8, 9, 5, 7, 6, 4], pc set (0, 1, 2, 3, 4, 5)
  • Baker, David: “Status Symbol” from "The Black Experience", [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4, 5, 8, 9)
  • Barber, Samuel: Piano Sonata, Op.26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], pc set (0, 1, 4, 5, 8, 9)
  • Bartók, Béla: Violin Concerto, No.2, mvt 1, [0, 2, 8, 1, 9, 4, 10, 6, 3, 7, 11, 5], pc set (0, 1, 4, 5, 6, 8)
  • Bartók, Béla: Violin Concerto, No.2, mvt 3, [0, 8, 2, 9, 1, 4, 10, 7, 6, 3, 11, 5], pc set (0, 1, 4, 5, 6, 8)
  • Beecroft, Norma: Improvvisazioni Concertanti, No.1, [0, 1, 11, 9, 3, 2, 7, 6, 10, 8, 4, 5], pc set (0, 1, 2, 3, 4, 6)
  • Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1], pc set (0, 1, 3, 6, 7, 9)
  • Berg, Alban: Altenberg Lieder, [0, 1, 11, 10, 2, 9, 3, 8, 7, 6, 5, 4], pc set (0, 1, 2, 3, 4, 5)
  • Berg, Alban: Lulu, Lulu (title character) row, [0, 2, 3, 5, 7, 9, 1, 10, 11, 4, 6, 8], pc set (0, 2, 3, 5, 7, 9)
  • Berg, Alban: Lulu, Primary / Main / Basic Row, [0, 4, 5, 2, 7, 9, 6, 8, 11, 10, 3, 1], pc set (0, 2, 4, 5, 7, 9)
  • Berg, Alban: Lulu, Schigolch, [0, 2, 3, 1, 4, 5, 6, 7, 8, 9, 11, 10], pc set (0, 1, 2, 3, 4, 5)
  • Berg, Alban: Lulu, Schoolboy row, [0, 2, 6, 10, 4, 7, 8, 3, 5, 9, 11, 1], pc set (0, 1, 3, 5, 7, 9)
  • Berg, Alban: Lulu, permutation of main row, [0, 4, 2, 7, 9, 6, 8, 11, 3, 1, 5, 10], pc set (0, 2, 3, 5, 7, 9)
  • Berg, Alban: Lulu, whole-tone row, [0, 2, 4, 6, 10, 8, 11, 7, 9, 1, 3, 5], pc set (0, 2, 4, 6, 8, 10)
  • Berg, Alban: Lyric Suite, Primary Row / mvt I, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  • Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 2-2-1-2-2-9-
  • Berg, Alban: Lyric Suite, mvt III, [0, 11, 7, 1, 2, 9, 3, 8, 10, 4, 5, 6], pc set (0, 1, 2, 3, 5, 7)
  • Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 2-2-3-2-2-7-
  • Berg, Alban: Schliesse mir die Augen Beide, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  • Berger, Arthur: Chamber Music for Thirteen Players, [0, 1, 11, 7, 10, 9, 6, 5, 8, 4, 2, 3], pc set (0, 1, 2, 3, 4, 6)
  • Berio, Luciano: Chamber Music, [0, 9, 3, 5, 7, 10, 2, 11, 4, 6, 8, 1], pc set (0, 2, 3, 5, 7, 9)
  • Berio, Luciano: Cinque Variazioni, [0, 2, 4, 1, 3, 5, 8, 10, 6, 7, 9, 11], pc set (0, 1, 2, 3, 4, 5)
  • Berio, Luciano: Sequenza I, [0, 11, 10, 9, 8, 7, 4, 6, 5, 3, 1, 2], pc set (0, 1, 2, 3, 4, 5)
  • Bischof, Rainer: 'Und so sink ich leise in mich selbst hinein'. Österreichischer Liederzyklus für Mezzosopran und Violine, Op.17, [0, 6, 5, 11, 4, 9, 3, 2, 8, 7, 1, 10], pc set (0, 1, 2, 5, 7, 8)
  • Boulez, Pierre: 2nd Piano Sonata, mvt II, Section 1, [0, 2, 1, 11, 3, 9, 8, 10, 7, 6, 5, 4], pc set (0, 1, 2, 3, 4, 6)
  • Boulez, Pierre: Le Soleil des eaux, series I, [0, 6, 10, 2, 5, 1, 7, 11, 3, 4, 8, 9], pc set (0, 1, 4, 5, 6, 8)
  • Boulez, Pierre: Le Soleil des eaux, series II, [0, 6, 10, 2, 5, 1, 4, 7, 11, 8, 3, 9], pc set (0, 1, 4, 5, 6, 8)
  • Boulez, Pierre: Le Soleil des eaux, series III, [0, 11, 7, 2, 6, 5, 4, 8, 10, 1, 3, 9], pc set (0, 1, 2, 5, 7, 8)
  • Boulez, Pierre: Notations, [0, 2, 7, 6, 1, 8, 4, 9, 5, 11, 10, 3], pc set (0, 1, 2, 6, 7, 8)
  • Boulez, Pierre: Pli selon pli, [0, 1, 8, 6, 7, 9, 4, 5, 11, 3, 2, 10], pc set (0, 1, 2, 3, 6, 7)
  • Boulez, Pierre: Structures Ia, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], pc set (0, 1, 2, 3, 6, 7)
  • Cage, John: Sonata for Clarinet, [0, 1, 10, 11, 9, 7, 6, 5, 4, 8, 3, 2], pc set (0, 1, 2, 3, 4, 6)
  • Cage, John: Sonata for Clarinet, mvt 2, [0, 11, 9, 10, 8, 6, 5, 4, 3, 7, 2, 1], pc set (0, 1, 2, 3, 4, 6)
  • Cage, John: Two pieces for Piano, [0, 11, 8, 3, 4, 2, 9, 7, 1, 5, 10, 6], pc set (0, 1, 2, 4, 5, 8)
  • Carlos, Juan: Canciones y Baladas, Balada II, [0, 4, 10, 6, 3, 8, 7, 2, 5, 9, 1, 11], pc set (0, 1, 3, 5, 7, 9)
  • Carter, Elliott: Night Fantasies, [0, 10, 3, 11, 8, 7, 1, 2, 5, 9, 4, 6], pc set (0, 1, 3, 4, 5, 8)
  • Carter, Elliott: String Quartet, No.2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 2-2-2-2-2-3-
  • Coltrane, John: Miles Mode, [0, 3, 5, 2, 7, 9, 10, 8, 1, 11, 6, 4], pc set (0, 2, 3, 5, 7, 9)
  • Copland, Aaron: Inscape, ("Y form" or "Row 1"), [0, 4, 3, 11, 2, 7, 6, 8, 10, 9, 5, 1], pc set (0, 1, 3, 4, 5, 8)
  • Cordero, Roque: Concerto for Violin, mvt 2A, [0, 11, 6, 4, 7, 8, 5, 9, 3, 10, 1, 2], pc set (0, 1, 4, 5, 6, 8)
  • Cordero, Roque: Soliloquios, [0, 1, 5, 11, 3, 2, 9, 8, 4, 10, 6, 7], pc set (0, 1, 2, 3, 4, 6)
  • Cordero, Roque: Violin Concerto mvt 1-3, [0, 11, 6, 4, 8, 7, 5, 1, 3, 2, 10, 9], pc set (0, 1, 4, 5, 6, 8)
  • Crosse, Gordon: Elegy for Small Orchestra, Op.1, [0, 11, 3, 1, 9, 10, 5, 6, 2, 4, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  • Dallapiccola, Luigi: 'Intermezzo' from the 'Ciaccona' (of 'Ciaccona, intermezzo e adagio'), [0, 5, 6, 3, 8, 9, 7, 11, 10, 2, 1, 4], pc set (0, 1, 3, 4, 6, 9)
  • Dallapiccola, Luigi: Canti di Liberationi, No.2, [0, 5, 8, 3, 1, 9, 10, 4, 2, 11, 7, 6], pc set (0, 1, 3, 5, 8, 9)
  • Dallapiccola, Luigi: Canti di Liberazione, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], pc set (0, 1, 3, 5, 8, 9)
  • Dallapiccola, Luigi: Cinque canti, [0, 11, 5, 8, 6, 2, 7, 3, 1, 4, 10, 9], pc set (0, 1, 3, 6, 7, 9)
  • Dallapiccola, Luigi: Commiato, [0, 6, 5, 3, 9, 11, 10, 8, 7, 1, 2, 4], pc set (0, 1, 3, 6, 7, 9)
  • Dallapiccola, Luigi: Dialoghi, [0, 1, 10, 2, 6, 4, 5, 3, 7, 11, 8, 9], pc set (0, 2, 3, 4, 6, 8)
  • Dallapiccola, Luigi: Il Prigioniero, "Hope", [0, 1, 2, 3, 11, 5, 4, 10, 6, 7, 9, 8], pc set (0, 1, 2, 3, 4, 6)
  • Dallapiccola, Luigi: Il prigioniero, "Prayer", [0, 3, 6, 11, 9, 2, 1, 7, 8, 4, 5, 10], pc set (0, 1, 3, 4, 6, 9)
  • Dallapiccola, Luigi: Liriche greche c: Sex Carmina Alcaei, [0, 3, 5, 6, 2, 9, 8, 7, 4, 1, 10, 11], pc set (0, 1, 3, 4, 6, 9)
  • Dallapiccola, Luigi: Quaderno musicale di Annalibera, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], pc set (0, 1, 3, 5, 8, 9)
  • Dallapiccola, Luigi: Quattro liriche di Antonio Machado, i, iv, [0, 3, 5, 6, 8, 9, 11, 10, 7, 4, 2, 1], pc set (0, 1, 3, 4, 6, 9)
  • Dallapiccola, Luigi: Requiescant, [0, 2, 1, 3, 4, 6, 7, 9, 8, 10, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  • Dallapiccola, Luigi: Requiescant (alternative view), [0, 2, 1, 7, 11, 8, 9, 6, 10, 4, 3, 5], pc set (0, 1, 2, 3, 6, 7)
  • Dallapiccola, Luigi: Tempus, 'Exhortatio', [0, 11, 9, 3, 5, 6, 4, 7, 8, 2, 1, 10], pc set (0, 1, 3, 6, 7, 9)
  • Dallapiccola, Luigi: Tempus, 'Ploratus', [0, 1, 7, 6, 10, 4, 3, 2, 5, 11, 9, 8], pc set (0, 1, 3, 6, 7, 9)
  • Dallapiccola, Luigi: Ulisse [opera], [0, 2, 1, 3, 9, 8, 11, 10, 4, 6, 5, 7], pc set (0, 1, 2, 3, 6, 7)
  • Dallapiccola, Luigi: Variazioni per orchestra, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], pc set (0, 1, 3, 5, 8, 9)
  • Davies, Peter Maxwell: Five Pieces for Piano, Op.2, No.2, [0, 7, 11, 1, 3, 5, 8, 6, 4, 9, 10, 2], pc set (0, 1, 2, 4, 6, 8)
  • Davies, Peter Maxwell: Sonata for Trumpet and Piano, Op.1, [0, 7, 6, 2, 11, 10, 8, 9, 1, 5, 3, 4], pc set (0, 1, 4, 5, 6, 8)
  • Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 6-4-6-4-6-1-
  • Denisov, Edison: Five Etudes for Solo Bassoon, row A, [0, 6, 1, 7, 8, 3, 2, 9, 10, 5, 11, 4], pc set (0, 1, 2, 5, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row D, [0, 6, 1, 7, 8, 3, 2, 9, 10, 11, 5, 4], pc set (0, 1, 2, 5, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], pc set (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row F, [0, 6, 1, 7, 3, 2, 8, 9, 10, 5, 11, 4], pc set (0, 1, 2, 3, 6, 7)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row I, [0, 6, 1, 7, 2, 8, 3, 10, 5, 11, 9, 4], pc set (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Octet for Winds, mvt 2, row A, [0, 1, 3, 2, 4, 5, 8, 7, 6, 11, 9, 10], pc set (0, 1, 2, 3, 4, 5)
  • Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 1, 2, 6, 7, 8)
  • Dessau, Paul: >Guernica< for piano, [0, 7, 6, 2, 10, 11, 5, 9, 1, 3, 4, 8], pc set (0, 1, 4, 5, 6, 8)
  • Dessau, Paul: Les Voix, [0, 11, 6, 8, 9, 3, 4, 10, 5, 7, 2, 1], pc set (0, 1, 3, 4, 6, 9)
  • Eder, Helmut: Concerto for violin and orchestra, Op.32, [0, 9, 6, 2, 11, 3, 8, 1, 7, 5, 10, 4], pc set (0, 1, 3, 4, 6, 9)
  • Eisler, Hanns: Der Zweck der Musik, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 2-2-1-2-2-9-
  • Eisler, Hanns: Deutsche Symphonie, mvt 5, [0, 1, 3, 5, 8, 9, 6, 11, 10, 4, 2, 7], pc set (0, 1, 3, 5, 8, 9)
  • Eisler, Hanns: Deutsche Symphonie, mvt 8, [0, 3, 1, 11, 2, 10, 8, 9, 6, 7, 5, 4], pc set (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Deutsche Symphonie, mvt 9, [0, 4, 1, 10, 8, 6, 3, 11, 9, 2, 5, 7], pc set (0, 1, 3, 5, 7, 9)
  • Eisler, Hanns: Deutsche Symphonie, mvts 1, 10, [0, 10, 6, 1, 11, 7, 5, 8, 9, 3, 4, 2], pc set (0, 1, 2, 3, 6, 7)
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 3, [0, 3, 2, 1, 5, 4, 6, 9, 8, 11, 10, 7], pc set (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 4, [0, 10, 9, 8, 6, 7, 3, 4, 5, 11, 1, 2], pc set (0, 1, 2, 3, 4, 6)
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 5, [0, 2, 6, 4, 10, 9, 11, 1, 7, 5, 8, 3], pc set (0, 1, 3, 5, 7, 9)
  • Eisler, Hanns: Gegen den Krieg, Op.55, [0, 3, 2, 5, 4, 7, 6, 8, 9, 10, 1, 11], pc set (0, 2, 3, 4, 5, 7)
  • Eisler, Hanns: Man lebt von einem Tage zu dem andern ("Kantate im Exil"), [0, 10, 11, 3, 1, 8, 7, 4, 2, 6, 9, 5], pc set (0, 2, 3, 4, 5, 7)
  • Eisler, Hanns: Palmström, Op.5, No.5, [0, 10, 11, 9, 8, 1, 7, 6, 5, 3, 4, 2], pc set (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Sonata for Piano, No.2 ("in Form von Variationen"), Op.6, row variant 1, [0, 4, 6, 3, 2, 1, 9, 10, 7, 8, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  • Eisler, Hanns: Sonata for Piano, No.2 ("in Form von Variationen"), Op.6, row variant 2, [0, 4, 3, 2, 6, 1, 9, 10, 7, 8, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  • Eisler, Hanns: Sonata for Piano, No.2 ("in Form von Variationen"), Op.6, row variant 5, [0, 3, 2, 4, 6, 1, 9, 10, 7, 8, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  • Eisler, Hanns: String Quartet, [0, 9, 3, 2, 11, 1, 4, 5, 10, 7, 8, 6], pc set (0, 1, 2, 3, 4, 6)
  • Eisler, Hanns: Suite for Orchestra, No.1, mvt 4, [0, 4, 2, 3, 1, 11, 7, 10, 9, 8, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Variations for Piano, [0, 3, 10, 6, 5, 8, 1, 11, 2, 4, 7, 9], pc set (0, 2, 3, 5, 7, 9)
  • Eisler, Hanns: Zwei Elegien, No.2 (An die Überlebenden), [0, 1, 4, 3, 2, 6, 8, 11, 10, 9, 5, 7], pc set (0, 1, 2, 3, 4, 6)
  • Evans, Bill: Twelve Tone Tune, [0, 10, 2, 3, 1, 11, 4, 6, 9, 8, 5, 7], pc set (0, 1, 2, 3, 4, 5)
  • Evans, Bill: Twelve Tone Tune Two, [0, 9, 11, 1, 10, 3, 2, 6, 4, 5, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  • Fano, Michel: Sonata for Two Pianos, [0, 6, 10, 7, 9, 8, 3, 2, 4, 1, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  • Fine, Vivian: Chaconne for piano, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Fine, Vivian: Four Songs, No.2, "Comfort To A Youth That Had Lost His Love", [0, 1, 2, 6, 9, 10, 11, 3, 5, 4, 7, 8], pc set (0, 1, 2, 4, 5, 8)
  • Finney, Ross Lee: Concerto for Alto Sax, [0, 1, 3, 4, 6, 9, 11, 10, 8, 7, 5, 2], pc set (0, 1, 3, 4, 6, 9)
  • Finney, Ross Lee: Fantasy in Two Movements for solo violin, [0, 1, 3, 5, 4, 2, 11, 10, 8, 6, 7, 9], pc set (0, 1, 2, 3, 4, 5)
  • Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 1-2-11-2-1-1-
  • Florey, Hans: Die Aussicht, [0, 9, 11, 8, 2, 10, 5, 6, 7, 4, 3, 1], pc set (0, 1, 2, 3, 4, 6)
  • Florey, Hans: Hexaeder für Klavier, [0, 9, 4, 8, 5, 10, 11, 3, 2, 6, 1, 7], pc set (0, 1, 4, 5, 6, 8)
  • Florey, Hans: Hälfte des Lebens, [0, 3, 4, 1, 7, 11, 6, 9, 10, 8, 2, 5], pc set (0, 1, 2, 4, 5, 8)
  • Florey, Hans: I Ging, [0, 7, 2, 10, 11, 6, 5, 1, 9, 8, 4, 3], pc set (0, 1, 4, 5, 6, 8)
  • Florey, Hans: Magischer Würfel mit 6 Spiegelpunkten, [0, 10, 1, 7, 4, 6, 5, 8, 3, 9, 2, 11], pc set (0, 1, 3, 6, 7, 9)
  • Florey, Hans: Sechs Kanonzyklen einunddesselben magischen Quadrates, [0, 10, 1, 7, 4, 6, 5, 8, 3, 9, 2, 11], pc set (0, 1, 3, 6, 7, 9)
  • Florey, Hans: Triptychon, [0, 8, 9, 3, 7, 2, 1, 10, 5, 6, 11, 4], pc set (0, 1, 2, 5, 7, 8)
  • Florey, Hans: Zwölftonspiel für Streichquartett. 3. Dezember 1965, [0, 10, 2, 5, 3, 4, 1, 8, 9, 6, 7, 11], pc set (0, 1, 2, 3, 5, 7)
  • Gerhard, Roberto: Capriccio for Solo Flute, [0, 11, 9, 3, 1, 10, 8, 6, 4, 7, 2, 5], pc set (0, 1, 2, 3, 4, 6)
  • Gerhard, Roberto: Chaconne for Unaccompanied Violin, [0, 11, 4, 2, 1, 3, 9, 10, 8, 6, 5, 7], pc set (0, 1, 2, 3, 4, 5)
  • Gerhard, Roberto: Hymnody, [0, 10, 11, 8, 2, 9, 4, 5, 1, 6, 7, 3], pc set (0, 1, 2, 3, 4, 6)
  • Gerhard, Roberto: Libra, [0, 6, 1, 7, 2, 8, 4, 9, 5, 10, 11, 3], pc set (0, 1, 2, 6, 7, 8)
  • Gerhard, Roberto: String Quartet, [0, 7, 8, 2, 6, 10, 9, 11, 4, 5, 1, 3], pc set (0, 1, 2, 4, 6, 8)
  • Gerhard, Roberto: String Quartet, No.2, [0, 1, 5, 2, 8, 7, 10, 9, 6, 11, 4, 3], pc set (0, 1, 2, 5, 7, 8)
  • Gerhard, Roberto: The Plague, [0, 1, 9, 11, 8, 10, 4, 5, 6, 2, 3, 7], pc set (0, 1, 2, 3, 4, 5)
  • Gerhard, Roberto: Three Impromptus, [0, 8, 1, 10, 4, 6, 7, 5, 3, 2, 9, 11], pc set (0, 1, 3, 5, 7, 9)
  • Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], pc set (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 1, [0, 1, 6, 7, 8, 2, 10, 11, 5, 4, 9, 3], pc set (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 2, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-3-1-1-9-5-
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 3, [0, 5, 6, 11, 2, 1, 8, 7, 10, 4, 9, 3], pc set (0, 1, 2, 3, 6, 7)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1], pc set (0, 1, 2, 3, 6, 7)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 5, [0, 1, 7, 6, 5, 11, 2, 8, 9, 10, 4, 3], pc set (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 7, [0, 1, 8, 2, 7, 6, 5, 11, 9, 10, 4, 3], pc set (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Quintet, Op.29, Row Class III 1, [0, 11, 1, 8, 2, 7, 10, 3, 9, 4, 6, 5], pc set (0, 1, 2, 3, 6, 7)
  • Ginastera, Alberto: Quintet, Op.29, Row Class III 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  • Ginastera, Alberto: Quintet, Op.29, Row Class V, [0, 5, 4, 7, 3, 2, 6, 9, 8, 1, 10, 11], pc set (0, 2, 3, 4, 5, 7)
  • Ginastera, Alberto: Quintet, Op.29, Row Class VII 1, [0, 9, 10, 11, 4, 3, 6, 2, 1, 5, 8, 7], pc set (0, 1, 2, 3, 6, 7)
  • Ginastera, Alberto: Quintet, Op.29, Row Class VII 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  • Ginastera, Alberto: Quintet, Op.29, Row Class VII S, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Quintet, Op.29, mvt.III, [0, 7, 3, 10, 2, 6, 9, 1, 4, 8, 11, 5], pc set (0, 1, 3, 5, 8, 9)
  • Ginastera, Alberto: Sonata for Cello and Piano, Op.49, [0, 3, 2, 1, 10, 11, 8, 9, 5, 4, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 3, [0, 9, 3, 2, 11, 6, 5, 1, 8, 7, 4, 10], pc set (0, 1, 3, 4, 6, 9)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11], pc set (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1, 4, 5, 8, 9)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 7, [0, 9, 10, 11, 8, 7, 6, 3, 4, 5, 2, 1], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 9-1-1-9-11-11-
  • Ginastera, Alberto: Turbae ad Passionem Gregorianam, Op.43, mvt II, [0, 5, 1, 7, 6, 11, 8, 2, 3, 4, 9, 10], pc set (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Violin Concerto, Op.30, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-3-1-1-9-5-
  • Goehr, Alexander: Piano Trio, Op.20, [0, 6, 7, 4, 3, 8, 5, 9, 11, 2, 10, 1], pc set (0, 1, 2, 4, 5, 8)
  • Goeyvaerts, Karel: Violin concerto, No.2, [0, 11, 7, 1, 2, 9, 10, 8, 5, 6, 3, 4], pc set (0, 1, 2, 3, 5, 7)
  • Gotham, Mark: 4x4x4x4, row 3, [0, 2, 6, 10, 7, 4, 11, 9, 8, 3, 5, 1], pc set (0, 1, 3, 5, 7, 9)
  • Gotham, Mark: 4x4x4x4, row 4, [0, 2, 6, 10, 1, 4, 5, 3, 8, 9, 11, 7], pc set (0, 2, 3, 4, 6, 8)
  • Gotham, Mark: Move On!, [0, 4, 3, 10, 6, 9, 1, 5, 2, 8, 11, 7], pc set (0, 1, 3, 6, 7, 9)
  • Hamel, Peter Michael: 'Klangspirale' für 13 Spieler oder drei Orchestergruppen, [0, 10, 5, 9, 3, 4, 1, 6, 8, 11, 2, 7], pc set (0, 1, 2, 5, 7, 8)
  • Hartmann, Karl Amadeus: Symphony, No.4, [0, 1, 3, 2, 11, 4, 5, 10, 7, 6, 8, 9], pc set (0, 1, 2, 3, 4, 5)
  • Hauer, Jose Matthias: XXXII. Zwölftonspiel; für Violine, Bratsche und Cello, [0, 2, 6, 1, 10, 9, 5, 8, 11, 7, 4, 3], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: 'Atonale Musik'. Klavierstücke 1922., Op.20, [0, 7, 4, 9, 5, 8, 3, 11, 2, 6, 1, 10], pc set (0, 1, 3, 4, 5, 8)
  • Hauer, Josef Matthias: 'Der Menschen Weg', Op.67, [0, 8, 5, 4, 10, 2, 7, 9, 1, 3, 11, 6], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: 'Die schwarze Spinne', Op.62, [0, 4, 10, 1, 5, 8, 11, 2, 7, 9, 6, 3], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: 'Emilie vor ihrem Brauttag' (Friedrich Hölderlin) für Altsolo und Orchester, Op.58, [0, 8, 3, 4, 11, 6, 9, 10, 2, 1, 5, 7], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: 'Salambo', opera after Gustave Flaubert;, Op.60, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: 'Tanz tibetanischer Mönche' im langsamen 3/4 Takt) [Zwölftonspiel]. 8. September 1956, [0, 7, 8, 6, 3, 1, 11, 2, 10, 5, 9, 4], pc set (0, 1, 2, 5, 7, 8)
  • Hauer, Josef Matthias: 'Wandlungen' (chamber-oratorio for stage or concert, for six solo-voices, choir and orchestra; after words of Friedrich Hölderlin), Op.53, [0, 5, 11, 4, 10, 1, 6, 8, 9, 3, 7, 2], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: Baustein, [0, 8, 11, 1, 6, 10, 4, 2, 3, 5, 9, 7], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Fünfte Tanzfantasie für kleines Orchester, Opus 66, [0, 10, 4, 7, 8, 11, 6, 2, 5, 9, 3, 1], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Harmonie - Melodie - Rhythmus - in kristallischer Bindung - im vierfachen Kontrapunkt [Zwölftonspiel] für Zwölftonorchester, [0, 2, 10, 9, 6, 5, 1, 4, 7, 11, 8, 3], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Hausmusik [Zwölftonspiel] für zwei Violinen und Klavier, [0, 1, 5, 3, 7, 10, 9, 6, 11, 4, 2, 8], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Kammermusik [Zwölftonspiel] für Flöte, Oboe, Baßklarinette, Fagott, zwei Violinen, Bratsche, Cello und Klavier zu vier Händen. 24. Jänner 1957, [0, 9, 3, 7, 5, 10, 1, 6, 11, 4, 2, 8], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Klavierstücke mit Überschriften nach Worten von Friedrich Hölderlin, Op.25 ;, No.10, [0, 6, 11, 10, 9, 5, 2, 3, 7, 1, 4, 8], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: Langsamer Walzer [Zwölftonspiel] für Orchester. 10. Jänner 1957, [0, 8, 10, 2, 3, 6, 1, 9, 7, 4, 11, 5], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Langsamer Walzer [Zwölftonspiel] für zwei Violinen, Bratsche, Cello und Klavier zu zwei Händen, [0, 6, 2, 11, 10, 7, 3, 4, 5, 9, 1, 8], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.106-108), [0, 10, 6, 1, 7, 4, 9, 5, 3, 8, 11, 2], pc set (0, 1, 3, 6, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.117-118), [0, 4, 5, 11, 7, 10, 3, 9, 6, 2, 1, 8], pc set (0, 1, 2, 5, 7, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.119-120), [0, 10, 8, 6, 5, 7, 9, 2, 3, 1, 11, 4], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.123-124), [0, 8, 11, 5, 3, 7, 4, 9, 1, 6, 10, 2], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.125-126), [0, 11, 1, 10, 6, 8, 9, 5, 7, 3, 2, 4], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.134-137), [0, 2, 1, 4, 5, 9, 6, 8, 10, 7, 11, 3], pc set (0, 1, 3, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.138-140), [0, 3, 4, 2, 5, 6, 8, 7, 10, 11, 1, 9], pc set (0, 1, 2, 3, 4, 6)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.139-141), [0, 2, 10, 1, 11, 9, 8, 5, 6, 4, 7, 3], pc set (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.141-143), [0, 10, 11, 3, 5, 6, 7, 2, 1, 4, 8, 9], pc set (0, 1, 2, 5, 7, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.142-143), [0, 11, 10, 1, 5, 3, 8, 6, 9, 4, 7, 2], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.143-145), [0, 9, 10, 2, 1, 11, 4, 6, 7, 5, 8, 3], pc set (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.159-161), [0, 5, 1, 8, 10, 4, 6, 7, 3, 9, 11, 2], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.171-174), [0, 7, 1, 3, 9, 6, 8, 11, 10, 5, 4, 2], pc set (0, 1, 3, 6, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.175-178), [0, 10, 1, 2, 6, 5, 3, 4, 8, 9, 7, 11], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.192-193), [0, 9, 6, 2, 8, 4, 7, 10, 1, 3, 5, 11], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.196-197), [0, 2, 8, 6, 11, 5, 4, 10, 7, 3, 1, 9], pc set (0, 1, 3, 6, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.213-216), [0, 2, 6, 1, 10, 4, 5, 8, 11, 7, 3, 9], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.224-228), [0, 1, 9, 3, 4, 5, 10, 11, 6, 2, 8, 7], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.228-230), [0, 2, 9, 6, 5, 10, 7, 3, 8, 1, 4, 11], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.231-233), [0, 6, 10, 3, 2, 8, 9, 5, 4, 1, 11, 7], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.234-237), [0, 11, 3, 1, 7, 4, 9, 6, 5, 10, 2, 8], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.241-243), [0, 2, 8, 1, 4, 9, 5, 6, 3, 11, 10, 7], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.257-262), [0, 7, 3, 8, 4, 2, 9, 1, 11, 6, 10, 5], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.262-263), [0, 11, 2, 5, 1, 6, 9, 7, 10, 3, 4, 8], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.272-276), [0, 1, 5, 3, 7, 2, 8, 10, 4, 6, 11, 9], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.284-287), [0, 1, 11, 7, 6, 4, 10, 5, 2, 8, 3, 9], pc set (0, 1, 2, 5, 7, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.288-291), [0, 2, 10, 7, 4, 6, 11, 3, 5, 1, 8, 9], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.292-294), [0, 9, 2, 6, 3, 5, 10, 1, 11, 7, 4, 8], pc set (0, 1, 3, 4, 6, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.325-328), [0, 5, 4, 2, 7, 6, 3, 11, 1, 8, 10, 9], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.328-332), [0, 3, 2, 7, 6, 10, 9, 11, 8, 5, 1, 4], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.331-334), [0, 4, 3, 2, 1, 11, 7, 10, 5, 6, 8, 9], pc set (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.362-365), [0, 7, 5, 3, 10, 8, 4, 2, 9, 6, 11, 1], pc set (0, 2, 4, 5, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.366-371), [0, 5, 1, 7, 3, 2, 4, 8, 11, 6, 10, 9], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.372-375), [0, 8, 6, 1, 10, 11, 5, 9, 7, 4, 3, 2], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.387-390), [0, 3, 7, 4, 10, 1, 11, 9, 6, 8, 2, 5], pc set (0, 1, 3, 4, 6, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.403-409), [0, 11, 2, 10, 8, 1, 5, 3, 4, 6, 7, 9], pc set (0, 1, 2, 3, 4, 6)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.422-425), [0, 6, 4, 2, 10, 9, 8, 5, 11, 7, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.425-427), [0, 8, 10, 7, 4, 2, 3, 5, 6, 11, 1, 9], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.430-432), [0, 6, 8, 10, 9, 2, 7, 1, 3, 4, 5, 11], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.438-441), [0, 1, 10, 8, 9, 4, 3, 5, 7, 11, 6, 2], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.441-445), [0, 1, 9, 8, 10, 4, 6, 5, 7, 2, 3, 11], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.451-453), [0, 2, 4, 1, 6, 11, 3, 8, 9, 7, 5, 10], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.452-455), [0, 5, 7, 8, 1, 2, 3, 4, 6, 11, 10, 9], pc set (0, 1, 2, 5, 7, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.457-458), [0, 3, 4, 5, 8, 1, 6, 11, 9, 10, 2, 7], pc set (0, 1, 3, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.463-464), [0, 4, 6, 7, 3, 9, 1, 10, 8, 11, 5, 2], pc set (0, 1, 3, 4, 6, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.479-483), [0, 6, 10, 9, 7, 8, 11, 4, 5, 3, 2, 1], pc set (0, 1, 2, 3, 4, 6)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.494-496), [0, 7, 8, 5, 6, 11, 2, 3, 9, 4, 1, 10], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.50-53), [0, 2, 10, 4, 5, 3, 6, 7, 1, 8, 9, 11], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.501-503), [0, 5, 7, 1, 3, 2, 6, 10, 11, 8, 9, 4], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.503-507), [0, 10, 1, 2, 3, 5, 7, 11, 4, 8, 9, 6], pc set (0, 2, 3, 4, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.511-514), [0, 10, 1, 4, 6, 2, 9, 7, 11, 8, 5, 3], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.517-521), [0, 2, 10, 11, 6, 4, 5, 1, 3, 9, 8, 7], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.528-531), [0, 6, 7, 5, 8, 10, 9, 11, 4, 2, 1, 3], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.60-63), [0, 4, 1, 2, 9, 8, 10, 5, 11, 3, 6, 7], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.72-73), [0, 1, 7, 11, 4, 3, 9, 6, 5, 2, 10, 8], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.73-78), [0, 8, 7, 2, 4, 11, 1, 3, 6, 5, 10, 9], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.84-87), [0, 10, 1, 11, 5, 3, 2, 6, 7, 8, 9, 4], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.93-94), [0, 1, 10, 8, 6, 2, 9, 4, 11, 7, 5, 3], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (row 1), [0, 8, 9, 5, 4, 6, 10, 11, 7, 1, 2, 3], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Nomos, Op.19 (row 2), [0, 6, 10, 4, 3, 2, 8, 7, 11, 9, 5, 1], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Paraphonie [Zwölftonspiel] für Bratsche und Klavier, [0, 4, 10, 5, 8, 1, 11, 7, 2, 9, 6, 3], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Romantische Phantasie für Orchester, [0, 10, 8, 5, 1, 9, 4, 11, 3, 7, 6, 2], pc set (0, 1, 3, 4, 5, 8)
  • Hauer, Josef Matthias: Sakraler Tanz [Zwölftonspiel] für Orchester, [0, 3, 10, 8, 5, 2, 9, 1, 11, 6, 4, 7], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Sechste Suite für Orchester, Op.47, [0, 9, 6, 2, 8, 3, 10, 11, 7, 4, 5, 1], pc set (0, 1, 3, 6, 7, 9)
  • Hauer, Josef Matthias: Symphonische Stücke für Streichorchester, Klavier und Harmonium, Op.49, [0, 4, 6, 3, 2, 8, 1, 11, 10, 7, 9, 5], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Tanz im langsamen 3/4 Takt [Zwölftonspiel] für zwei Violinen, zwei Bratschen und Klavier zu zwei Händen, [0, 3, 10, 2, 11, 6, 8, 7, 4, 9, 1, 5], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: VIII. Zwölftonspiel für Orchester. Juni 1943, [0, 5, 10, 8, 4, 2, 11, 9, 3, 1, 7, 6], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Violinkonzert, Op.54 (9. März - 6. April 1928), [0, 7, 6, 8, 4, 11, 1, 10, 5, 9, 2, 3], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: XXI. Zwölftonspiel für Orchester; mit einer Zwöfftonreihe, die in sechs Tropen steht, und vom Kulturreferenten der Stadt Wien Dr. Viktor Matejka gewählt wurde. Erster Teil 2,4-Takt (Halbe = 50) mit achttaktigen Perioden; zweiter Teil im 3/4 Takt (punktierte Halbe = 40) mit sechstaktigen Perioden, [0, 3, 4, 9, 11, 10, 1, 7, 6, 2, 5, 8], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: XXII. Zwölftonspiel für Klavier, [0, 2, 11, 6, 7, 10, 1, 3, 8, 4, 9, 5], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: XXIII. Zwölftonspiel für Klavierquintett, [0, 4, 11, 9, 10, 2, 6, 3, 7, 5, 8, 1], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: XXIV. Zwölftonspiel für Klavier, [0, 2, 9, 3, 8, 1, 4, 7, 11, 5, 6, 10], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: XXIX. Zwölftonspiel für Cembalo; mit der Sokolowski-Reihe zu Bachs Geburtstag, [0, 11, 2, 1, 4, 3, 10, 5, 8, 9, 6, 7], pc set (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: XXXII. Zwölftonspiel für Violine, zwei Bratschen und Cello (2/2), [0, 7, 4, 3, 11, 2, 5, 1, 10, 9, 6, 8], pc set (0, 1, 3, 4, 5, 8)
  • Hauer, Josef Matthias: Zwölftonspiel (Weihnachten 1947) für Klarinette, Violine, Bratsche, Cello und Klavier, [0, 6, 2, 10, 8, 3, 11, 4, 9, 7, 5, 1], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel 10. Juli 1957; für Klavier zu vier Händen, [0, 8, 10, 6, 2, 11, 1, 3, 9, 4, 7, 5], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel 15. Juni 1957; für Flöte, Oboe, Bassklarinette, Fagott, zwei Violinen, Viola, Violoncello & Klavier vierhändig, [0, 6, 4, 8, 3, 11, 9, 2, 7, 1, 10, 5], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Zwölftonspiel 2. Juni 1948 für Streichquartett und Klavier, [0, 3, 10, 6, 2, 11, 1, 4, 7, 9, 5, 8], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Zwölftonspiel 26. Juli 1957, für Flöte, Oboe, Bassklarinette, Fagott und Streichquartett, [0, 4, 1, 6, 8, 2, 10, 7, 3, 9, 11, 5], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel 3. Mai 1958; für Streichsextett, [0, 4, 10, 3, 7, 1, 8, 2, 11, 6, 9, 5], pc set (0, 1, 3, 4, 6, 9)
  • Hauer, Josef Matthias: Zwölftonspiel 5. September 1957; für Violine, Bratsche und Klavier, [0, 4, 2, 9, 10, 6, 11, 1, 7, 3, 8, 5], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel 7. April 1957; für zwei Violinen, Bratsche, Cello und Klavier zu vier Händen, [0, 6, 2, 9, 10, 4, 11, 3, 7, 1, 5, 8], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel 9. September 1957; für vier Solostimmen [S, A, T, B], Violine, Bratsche und Klavier, [0, 4, 2, 9, 10, 6, 11, 1, 7, 3, 8, 5], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel Jänner 1957; für zwei Violinen, Bratsche und Cello, [0, 10, 6, 2, 8, 3, 5, 7, 9, 4, 1, 11], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel Oktober 1956; für Klavier zu vier Händen, [0, 9, 6, 2, 8, 3, 10, 5, 1, 11, 7, 4], pc set (0, 1, 3, 6, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Flöte, Horn, Violine, Bratsche, Cello und Klavier, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Gitarre. 24. 7. 1949, [0, 6, 10, 2, 5, 9, 1, 4, 7, 3, 11, 8], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 11. Juni 1955, [0, 6, 11, 4, 2, 9, 3, 1, 5, 7, 10, 8], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 17. Juli 1952, [0, 6, 4, 9, 2, 10, 7, 11, 1, 8, 5, 3], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 2. Juni 1955, [0, 10, 2, 7, 3, 6, 4, 8, 1, 9, 11, 5], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 24. Dezember 1946, [0, 1, 2, 6, 10, 5, 11, 4, 3, 9, 7, 8], pc set (0, 1, 4, 5, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 7. Juni 1955, [0, 4, 10, 7, 11, 8, 3, 1, 5, 6, 2, 9], pc set (0, 1, 2, 4, 5, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. März 1953, [0, 6, 8, 7, 5, 10, 2, 3, 11, 4, 9, 1], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, Violine, Bratsche, Cello und Kontrabaß (melischer Entwurf vom 29.8.1954), [0, 4, 2, 7, 9, 6, 8, 3, 11, 5, 10, 1], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, mit einer Zwölftonreihe von Nikolaus Fheodoroff. 10. Juli 1952, [0, 10, 6, 8, 9, 7, 11, 3, 1, 5, 2, 4], pc set (0, 1, 2, 3, 4, 6)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, mit einer Zwölftonreihe von Nikolaus Fheodoroff. 8. Juli 1952, [0, 2, 10, 6, 8, 7, 5, 9, 11, 3, 1, 4], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, zwei Violinen, Bratsche und Cello. 19. Oktober 1954, [0, 6, 11, 2, 1, 5, 3, 8, 10, 7, 9, 4], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 13. März 1952, [0, 5, 9, 10, 8, 1, 4, 3, 6, 7, 11, 2], pc set (0, 1, 3, 4, 5, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 24. Juni 1952, [0, 6, 10, 7, 9, 3, 4, 1, 8, 5, 11, 2], pc set (0, 1, 3, 4, 6, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 26. Juni 1952, [0, 6, 2, 10, 9, 5, 3, 4, 8, 7, 11, 1], pc set (0, 1, 3, 5, 8, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 30. Juni 1952, I, [0, 2, 10, 4, 11, 8, 1, 7, 5, 3, 6, 9], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. Mai 1955, [0, 6, 11, 4, 2, 9, 3, 1, 5, 7, 10, 8], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen und Akkordeon (Hausorchester), [0, 7, 2, 9, 6, 4, 11, 3, 10, 8, 1, 5], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen und Streichquartett, [0, 7, 2, 10, 6, 8, 3, 11, 9, 4, 1, 5], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Oechester. 28. 9. 1954, [0, 8, 9, 6, 10, 4, 11, 1, 2, 5, 3, 7], pc set (0, 2, 3, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Orchester. September 1957, [0, 8, 6, 10, 5, 7, 2, 4, 1, 9, 11, 3], pc set (0, 1, 2, 3, 5, 7)
  • Hauer, Josef Matthias: Zwölftonspiel für Violine, Cello und Klavier zu vier Händen, [0, 10, 6, 1, 8, 3, 11, 7, 2, 5, 9, 4], pc set (0, 2, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Violine und Klavier, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel für Violine und Klavier. 3. April 1955, [0, 2, 6, 4, 9, 10, 5, 3, 7, 8, 11, 1], pc set (0, 1, 3, 5, 7, 9)
  • Hauer, Josef Matthias: Zwölftonspiel für Orchester. 28. 9. 1954, [0, 5, 7, 4, 6, 1, 9, 3, 8, 11, 10, 2], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, [0, 2, 3, 11, 1, 10, 8, 6, 4, 9, 7, 5], pc set (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, Bratsche, Cello und Klavier. 16. April 1958, [0, 3, 8, 2, 9, 1, 11, 5, 7, 4, 6, 10], pc set (0, 1, 2, 3, 6, 7)
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, Bratsche und Cello ('Ins Räumliche übertragen'). 3. September 1953, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], pc set (0, 1, 2, 4, 6, 8)
  • Hauer, Josef Matthias: Zwölftonspiel in drei Teilen für zwei Violinen, Bratsche und Cello. 31. Juli 1953, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], pc set (0, 1, 2, 4, 6, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.10, [0, 4, 6, 7, 8, 10, 9, 5, 3, 2, 1, 11], pc set (0, 2, 3, 4, 6, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.11, [0, 4, 5, 6, 8, 9, 7, 3, 2, 1, 11, 10], pc set (0, 1, 2, 4, 5, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.12, [0, 3, 6, 7, 9, 10, 11, 8, 5, 4, 2, 1], pc set (0, 1, 3, 4, 6, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.13, [0, 3, 5, 7, 8, 10, 9, 6, 4, 2, 1, 11], pc set (0, 2, 4, 5, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.14, [0, 2, 5, 7, 8, 10, 11, 9, 6, 4, 3, 1], pc set (0, 2, 3, 5, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.15, [0, 1, 3, 6, 7, 9, 11, 10, 8, 5, 4, 2], pc set (0, 1, 3, 6, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.16, [0, 1, 3, 5, 7, 10, 9, 8, 6, 4, 2, 11], pc set (0, 2, 3, 5, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.17, [0, 1, 3, 5, 8, 9, 7, 6, 4, 2, 11, 10], pc set (0, 1, 3, 5, 8, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.18, [0, 3, 4, 6, 9, 10, 11, 8, 7, 5, 2, 1], pc set (0, 1, 3, 6, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.19, [0, 1, 4, 5, 8, 9, 11, 10, 7, 6, 3, 2], pc set (0, 1, 4, 5, 8, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.2, [0, 1, 2, 3, 4, 10, 9, 8, 7, 6, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.20, [0, 1, 2, 5, 7, 8, 11, 10, 9, 6, 4, 3], pc set (0, 1, 2, 5, 7, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.21, [0, 1, 2, 5, 6, 10, 9, 8, 7, 4, 3, 11], pc set (0, 1, 4, 5, 6, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.22, [0, 1, 2, 4, 8, 9, 7, 6, 5, 3, 11, 10], pc set (0, 1, 4, 5, 6, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.23, [0, 3, 4, 5, 9, 10, 11, 8, 7, 6, 2, 1], pc set (0, 1, 2, 5, 7, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.24, [0, 3, 4, 7, 8, 10, 9, 6, 5, 2, 1, 11], pc set (0, 1, 3, 5, 8, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.25, [0, 3, 5, 6, 8, 9, 7, 4, 2, 1, 11, 10], pc set (0, 1, 3, 4, 6, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.26, [0, 3, 4, 6, 7, 8, 5, 2, 1, 11, 10, 9], pc set (0, 1, 2, 4, 5, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.27, [0, 2, 4, 5, 6, 7, 3, 1, 11, 10, 9, 8], pc set (0, 1, 2, 3, 5, 7)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.28, [0, 5, 7, 8, 9, 10, 11, 6, 4, 3, 2, 1], pc set (0, 2, 3, 4, 5, 7)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.29, [0, 1, 6, 7, 8, 9, 11, 10, 5, 4, 3, 2], pc set (0, 1, 2, 3, 6, 7)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.3, [0, 2, 3, 4, 5, 10, 11, 9, 8, 7, 6, 1], pc set (0, 1, 2, 3, 5, 7)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.30, [0, 1, 2, 6, 7, 8, 11, 10, 9, 5, 4, 3], pc set (0, 1, 2, 6, 7, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.31, [0, 1, 2, 3, 6, 7, 11, 10, 9, 8, 5, 4], pc set (0, 1, 2, 3, 6, 7)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.32, [0, 1, 2, 3, 4, 6, 11, 10, 9, 8, 7, 5], pc set (0, 1, 2, 3, 4, 6)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.4, [0, 2, 3, 4, 8, 10, 9, 7, 6, 5, 1, 11], pc set (0, 1, 2, 4, 6, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.5, [0, 2, 4, 5, 8, 10, 11, 9, 7, 6, 3, 1], pc set (0, 1, 3, 5, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.6, [0, 2, 4, 6, 8, 10, 9, 7, 5, 3, 1, 11], pc set (0, 2, 4, 6, 8, 10)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.7, [0, 2, 4, 6, 8, 9, 7, 5, 3, 1, 11, 10], pc set (0, 1, 3, 5, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.8, [0, 2, 4, 6, 7, 8, 5, 3, 1, 11, 10, 9], pc set (0, 1, 2, 4, 6, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.9, [0, 4, 6, 8, 9, 10, 11, 7, 5, 3, 2, 1], pc set (0, 2, 3, 4, 6, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.1, [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Hendler, Maximilian: aus den fünf Liedern nach Texten von Elisabeth Pöschl : 'Sonnenaufgang' für Singstimme und Klavier, Op.44-1, [0, 11, 2, 1, 5, 6, 4, 3, 8, 7, 9, 10], pc set (0, 1, 2, 3, 6, 7)
  • Hendler, Maximilian: aus den fünf Liedern nach Texten von Karl Hans Haysen für Singstimme und Klavier : 'Erkenntnis', Op.45-2, [0, 9, 2, 4, 7, 11, 8, 10, 5, 1, 6, 3], pc set (0, 2, 4, 5, 7, 9)
  • Huber, Klaus: Zwei Sätze, [0, 3, 1, 10, 11, 8, 6, 9, 7, 2, 4, 5], pc set (0, 2, 3, 4, 5, 7)
  • Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 1, [0, 6, 5, 7, 8, 11, 9, 10, 3, 4, 2, 1], pc set (0, 1, 2, 3, 6, 7)
  • Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 3, [0, 3, 1, 2, 4, 10, 9, 11, 7, 8, 6, 5], pc set (0, 1, 2, 3, 4, 6)
  • Ives, Charles: On the Antipodes, [0, 3, 11, 8, 4, 7, 10, 9, 6, 2, 5, 1], pc set (0, 1, 4, 5, 8, 9)
  • Ives, Charles: Tone Roads, No.3, [0, 11, 1, 3, 2, 10, 5, 8, 4, 7, 6, 9], pc set (0, 1, 2, 3, 4, 5)
  • Johnston, Ben: String Quartet, No.6, [0, 5, 10, 9, 3, 7, 11, 6, 1, 2, 8, 4], pc set (0, 2, 3, 5, 7, 9)
  • Jung, Joachim: , [0, 11, 3, 10, 2, 1, 7, 8, 4, 9, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Kahn, Erich Itor: Bagatelle für Rene Leibowitz, [0, 1, 2, 4, 6, 3, 10, 11, 5, 7, 9, 8], pc set (0, 1, 2, 3, 4, 6)
  • Kalodiki, Georgia: Six Sketches for piano, [0, 7, 6, 1, 2, 9, 8, 3, 4, 11, 5, 10], pc set (0, 1, 2, 5, 7, 8)
  • Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  • Klein, Fritz Heinrich: Die Maschine. Eine extonale Selbstsatire von Heautontimorumenus., Op.1 (Das Maschinen-Thema), [0, 5, 7, 9, 3, 2, 11, 6, 8, 10, 4, 1], pc set (0, 2, 3, 5, 7, 9)
  • Klein, Fritz Heinrich: Variationen, Op.14, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  • Klenau, Paul von: Elisabeth von England, [0, 2, 8, 11, 7, 1, 4, 10, 3, 6, 5, 9], pc set (0, 1, 2, 3, 6, 7)
  • Kokkonen, Joonas: Cello Concerto, mov. 2, row "II/A", [0, 2, 7, 4, 3, 5, 6, 1, 11, 8, 10, 9], pc set (0, 2, 3, 4, 5, 7)
  • Kokkonen, Joonas: Cello Concerto, mov. 2, row "II/B", [0, 2, 3, 1, 4, 5, 7, 8, 6, 9, 10, 11], pc set (0, 1, 2, 3, 4, 5)
  • Kokkonen, Joonas: Cello Concerto, mov. 2, row "II/C", [0, 9, 11, 10, 7, 2, 6, 3, 5, 4, 1, 8], pc set (0, 2, 3, 4, 5, 7), self-rotational interval pattern 9-2-11-9-7-4-
  • Kokkonen, Joonas: Woodwind Quintet, mov. 1, rows "I/A" and "I/B", [0, 2, 11, 9, 10, 1, 3, 6, 4, 5, 7, 8], pc set (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: Eight Piano Pieces, [0, 10, 1, 7, 6, 11, 5, 8, 3, 9, 2, 4], pc set (0, 1, 2, 3, 6, 7)
  • Krenek, Ernst: Karl V, King Francis Row, [0, 10, 5, 6, 11, 3, 9, 4, 2, 7, 1, 8], pc set (0, 1, 2, 5, 7, 8)
  • Krenek, Ernst: Kette, Kreis, und Spiegel (Circle, Chain and Mirror), Op.160, [0, 5, 6, 9, 8, 4, 10, 7, 11, 3, 1, 2], pc set (0, 1, 2, 4, 5, 8)
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 1, [0, 2, 4, 5, 8, 10, 6, 7, 9, 11, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 2, [0, 2, 3, 6, 8, 10, 5, 7, 9, 11, 1, 4], pc set (0, 1, 3, 5, 7, 9)
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 3, [0, 1, 4, 6, 8, 10, 5, 7, 9, 11, 2, 3], pc set (0, 1, 3, 5, 7, 9)
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 4, [0, 3, 5, 7, 9, 11, 6, 8, 10, 1, 2, 4], pc set (0, 1, 3, 5, 7, 9)
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 5, [0, 2, 4, 6, 8, 9, 5, 7, 10, 11, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 6, [0, 2, 4, 6, 7, 10, 5, 8, 9, 11, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  • Krenek, Ernst: Quaestio temporis, Op.170, [0, 3, 11, 4, 2, 1, 7, 8, 10, 5, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: Sechs Vermessene, Op.168, [0, 3, 1, 6, 2, 4, 10, 5, 9, 7, 8, 11], pc set (0, 1, 2, 3, 4, 6)
  • Krenek, Ernst: Sestina, Op.161, [0, 8, 11, 10, 4, 6, 7, 1, 5, 3, 9, 2], pc set (0, 1, 2, 4, 6, 8)
  • Krenek, Ernst: Sonata, No.3, Op.92, No.4, [0, 10, 5, 8, 3, 2, 6, 7, 1, 9, 11, 4], pc set (0, 2, 3, 5, 7, 9)
  • Krenek, Ernst: String Quartet, No.6, Op.78, [0, 10, 11, 8, 1, 9, 3, 7, 2, 4, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: Studies in Counterpoint, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], pc set (0, 1, 2, 3, 6, 7)
  • Krenek, Ernst: Studies in Counterpoint (i), [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], pc set (0, 1, 2, 3, 6, 7)
  • Krenek, Ernst: Studies in Counterpoint (ii), [0, 3, 10, 4, 9, 11, 8, 7, 5, 1, 2, 6], pc set (0, 1, 2, 3, 6, 7)
  • Krenek, Ernst: Suite, Op.84 for solo cello, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], pc set (0, 1, 2, 3, 6, 7)
  • Krenek, Ernst: Symeon, der Stylit, [0, 3, 10, 4, 9, 11, 8, 7, 5, 1, 2, 6], pc set (0, 1, 2, 3, 6, 7)
  • Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5], pc set (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: Zwölf Variationen in Drei Satzen, [0, 1, 3, 10, 2, 5, 11, 7, 4, 9, 6, 8], pc set (0, 2, 3, 4, 5, 7)
  • Krenek, Ernst: Zwölf Variationen in Drei Sätzen, Op.79, [0, 1, 3, 10, 2, 5, 11, 7, 4, 9, 8, 6], pc set (0, 2, 3, 4, 5, 7)
  • Krenek, Ernst: concert for organ and string-orchestra, Op.230, [0, 11, 8, 4, 3, 6, 7, 5, 2, 9, 10, 1], pc set (0, 1, 3, 5, 8, 9)
  • Kukuck, Felicitas: 'Der Gottesknecht': 6. Kantate, [0, 11, 10, 1, 2, 3, 8, 9, 6, 5, 7, 4], pc set (0, 1, 2, 3, 4, 5)
  • Kukuck, Felicitas: 'Wo bist Du Trost'; motet, [0, 11, 10, 7, 6, 1, 2, 5, 4, 3, 9, 8], pc set (0, 1, 2, 3, 6, 7)
  • Lackner, Peter: 'An alle Außerirdischen'. Kanon für drei Singstimmen, Kontrabaß und Klavier, [0, 4, 9, 7, 11, 2, 5, 1, 8, 10, 6, 3], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: 'Davongeflogene Seelen' für Singstimme, Violoncello und Klavier, [0, 10, 4, 7, 6, 1, 9, 11, 5, 2, 3, 8], pc set (0, 1, 3, 6, 7, 9)
  • Lackner, Peter: 'Der Winter', [0, 6, 3, 5, 9, 11, 7, 1, 4, 2, 10, 8], pc set (0, 1, 3, 6, 7, 9)
  • Lackner, Peter: 'Es fiel ein Reif in der Frühlingsnacht' für Singstimme und ein Melodie-Instrument, [0, 9, 4, 7, 2, 5, 1, 8, 10, 11, 3, 6], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: 'Euphorbia obesa'. Kanon für Oboe, Englischhorn und Fagott., [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5], pc set (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: 'Flügelaltar' für Klavier, [0, 9, 11, 10, 2, 7, 1, 8, 4, 5, 3, 6], pc set (0, 2, 3, 4, 5, 7)
  • Lackner, Peter: 'Hexentanz' für Violine und Klavier, [0, 3, 5, 7, 8, 4, 1, 10, 11, 2, 6, 9], pc set (0, 1, 3, 4, 5, 8)
  • Lackner, Peter: 'INKE TAN MAGROV' für Singstimme und Klavier, [0, 6, 5, 10, 8, 3, 7, 1, 2, 9, 11, 4], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: 'Ständchen' für zwei Violinen und zwei Bratschen. 1913,2013, [0, 4, 2, 8, 11, 7, 10, 5, 9, 1, 3, 6], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: 'Venus-Quadrat' für Violine und Klavier, [0, 7, 2, 5, 9, 10, 11, 6, 8, 4, 3, 1], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: 'Wo ist der Freund' (erstes Lied aus dem Zyklus 'Wilde Erdbeeren' für Singstimme und Klavier), [0, 3, 6, 2, 9, 11, 7, 4, 1, 5, 10, 8], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: 1. Kanonzyklus, [0, 7, 5, 9, 1, 3, 11, 8, 4, 6, 10, 2], pc set (0, 1, 3, 5, 7, 9)
  • Lackner, Peter: 2. Kanonzyklus, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: 3. Kanonzyklus, [0, 6, 8, 10, 1, 3, 5, 11, 9, 7, 4, 2], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: 4. Kanonzyklus, [0, 5, 3, 7, 11, 1, 9, 4, 6, 2, 10, 8], pc set (0, 1, 2, 4, 6, 8)
  • Lackner, Peter: 5. Kanonzyklus, [0, 7, 11, 9, 1, 3, 5, 8, 10, 6, 2, 4], pc set (0, 2, 3, 4, 6, 8)
  • Lackner, Peter: AGNI MEI (Kanon für Klavier. 5. Juni 2015), [0, 4, 10, 11, 1, 2, 8, 7, 3, 6, 9, 5], pc set (0, 1, 2, 3, 4, 6)
  • Lackner, Peter: Das Buch der Wandlungen I für Frauenstimmen und,oder Klavier, [0, 8, 3, 5, 1, 10, 7, 11, 4, 2, 6, 9], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Florianische Reihe, [0, 3, 9, 7, 4, 11, 5, 2, 8, 6, 1, 10], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: INKE TAN MAGROV für Singstimme und Klavier (zweites Lied aus dem Zyklus 'Wilde Erdbeeren'), [0, 2, 9, 5, 8, 11, 3, 1, 6, 10, 7, 4], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: KANON für A, O & Gsellmanns Weltmaschine. 8. Oktober 1958,2008, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3], pc set (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon-Polska für zwei Bratschen. 6. Juni 1993, [0, 6, 3, 1, 10, 8, 5, 11, 2, 4, 7, 9], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon T6 á 2, [0, 10, 8, 3, 1, 5, 6, 4, 2, 9, 7, 11], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 10-10-7-10-4-1-
  • Lackner, Peter: Kanon für B. L., 7. Oktober 2017, [0, 9, 10, 5, 3, 7, 11, 2, 1, 6, 8, 4], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon für Blockflötenquartett. April 2005, [0, 10, 11, 3, 1, 2, 8, 7, 9, 5, 4, 6], pc set (0, 1, 2, 3, 4, 5)
  • Lackner, Peter: Kanon für Cello und Klavier, [0, 2, 9, 10, 6, 5, 1, 11, 4, 3, 7, 8], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für Flöte, Akkordeon, zwei Violinen, Bratsche und Klavier, [0, 5, 3, 7, 11, 1, 9, 4, 6, 2, 10, 8], pc set (0, 1, 2, 4, 6, 8)
  • Lackner, Peter: Kanon für Flöte solo und N. N., [0, 3, 7, 10, 2, 5, 11, 8, 4, 1, 9, 6], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Flöte und Elektronik. Februar 1999, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Hammerklavier. März 2016, [0, 2, 1, 5, 7, 3, 11, 9, 10, 6, 4, 8], pc set (0, 1, 2, 3, 5, 7)
  • Lackner, Peter: Kanon für Kammerorchester, [0, 9, 11, 6, 2, 4, 7, 10, 8, 1, 5, 3], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon für Klavier, [0, 6, 8, 10, 1, 3, 5, 11, 9, 7, 4, 2], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon für Klavier. 15. Juni 1992, [0, 10, 3, 8, 6, 5, 2, 1, 11, 4, 9, 7], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon für Klavier. 21. Juni 1998, [0, 7, 6, 5, 1, 4, 3, 8, 9, 10, 2, 11], pc set (0, 1, 2, 3, 6, 7)
  • Lackner, Peter: Kanon für Klavier. 26. Juni 1983, [0, 7, 5, 9, 4, 8, 6, 1, 11, 3, 10, 2], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 7-10-4-7-4-10-
  • Lackner, Peter: Kanon für Klavier. 27. Juni, 26. September 2002, [0, 9, 4, 1, 2, 8, 7, 10, 3, 6, 5, 11], pc set (0, 1, 4, 5, 6, 8)
  • Lackner, Peter: Kanon für Klavier. 5. April 1989, [0, 2, 9, 10, 6, 5, 1, 11, 4, 3, 7, 8], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für Klavier. April 2000, [0, 5, 3, 7, 11, 1, 9, 4, 6, 2, 10, 8], pc set (0, 1, 2, 4, 6, 8)
  • Lackner, Peter: Kanon für Klavier zu vier Händen, [0, 10, 5, 3, 7, 8, 6, 4, 11, 9, 1, 2], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 10-7-10-4-1-10-
  • Lackner, Peter: Kanon für Klavier zu vier Händen. 12. Juni 1996, [0, 4, 2, 8, 11, 10, 5, 1, 3, 9, 6, 7], pc set (0, 2, 3, 4, 6, 8)
  • Lackner, Peter: Kanon für Klavier zu vier Händen. Frühling 1984, [0, 1, 10, 7, 9, 4, 5, 11, 8, 6, 2, 3], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: Kanon für Klavierquartett, [0, 8, 6, 11, 3, 9, 1, 5, 7, 2, 10, 4], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: Kanon für Klavierquartett. 27. April 1991, [0, 6, 3, 5, 9, 11, 7, 1, 4, 2, 10, 8], pc set (0, 1, 3, 6, 7, 9)
  • Lackner, Peter: Kanon für Klavierquartett. 27. Juni 1991, [0, 2, 6, 9, 11, 3, 7, 5, 1, 10, 8, 4], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: Kanon für Klaviertrio, [0, 2, 4, 9, 5, 7, 3, 1, 11, 6, 10, 8], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Orgel, zweimanualiges Cembalo oder Klavier, [0, 7, 2, 11, 4, 9, 6, 8, 1, 5, 3, 10], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Orgel. 21. November 1994, 4. Februar 1995, [0, 8, 5, 1, 4, 9, 2, 11, 7, 3, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  • Lackner, Peter: Kanon für Schwegel, diatonisches Hackbrett und Violine, [0, 8, 4, 10, 6, 2, 5, 1, 9, 3, 11, 7], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 8-8-6-8-8-3-
  • Lackner, Peter: Kanon für Schwegel und zwei Geigen, [0, 6, 4, 2, 10, 8, 9, 3, 5, 7, 11, 1], pc set (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für Schwegelpfeife in A und Geige, [0, 9, 7, 2, 10, 4, 3, 6, 8, 1, 5, 11], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon für Streichquartett, [0, 9, 3, 5, 1, 11, 7, 10, 4, 2, 6, 8], pc set (0, 2, 3, 4, 6, 8)
  • Lackner, Peter: Kanon für Streichquartett. 22.September 2003, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3], pc set (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für Streichquartett. 3. Jänner 1990, [0, 6, 4, 8, 11, 3, 1, 7, 9, 5, 2, 10], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für Streichquartett und Orgel. 21. November 1993, [0, 10, 2, 5, 4, 7, 1, 11, 3, 9, 8, 6], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon für Tenor-Hackbrett. 19. März 2014, [0, 8, 4, 6, 9, 1, 11, 3, 7, 5, 2, 10], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für Violine, Bratsche und Klavier, [0, 4, 2, 8, 11, 7, 10, 5, 9, 1, 3, 6], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für Violine, Viola und Akkordeon. 11. Juni 2007, [0, 11, 1, 2, 3, 10, 4, 9, 8, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Lackner, Peter: Kanon für Violine solo, [0, 11, 2, 7, 10, 9, 3, 4, 1, 8, 5, 6], pc set (0, 2, 3, 4, 5, 7)
  • Lackner, Peter: Kanon für Violine und Violoncello, [0, 2, 9, 10, 6, 5, 1, 11, 4, 3, 7, 8], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für acht Instrumente. Dezember 1991, März 2007, [0, 11, 3, 10, 6, 2, 7, 8, 4, 9, 1, 5], pc set (0, 1, 2, 4, 5, 8)
  • Lackner, Peter: Kanon für drei Bratschen, [0, 11, 3, 10, 6, 2, 7, 8, 4, 9, 1, 5], pc set (0, 1, 2, 4, 5, 8)
  • Lackner, Peter: Kanon für drei Violinen I, II August 1998, [0, 2, 10, 4, 8, 6, 1, 9, 11, 5, 3, 7], pc set (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für sechs Instrumente. 16. März 2009, [0, 7, 6, 3, 2, 10, 1, 8, 11, 5, 4, 9], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für sechs Posaunen. Herbst 1996, [0, 9, 1, 6, 4, 8, 11, 2, 10, 7, 5, 3], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon für zwei Gitarren. September 2001, [0, 5, 3, 9, 11, 6, 7, 2, 4, 10, 8, 1], pc set (0, 1, 3, 6, 7, 9)
  • Lackner, Peter: Kanon für zwei Singstimmen und Ensemble zur Skulpturengruppe LEM von Axel Kirchmayr und einem Text von Hannes Waltl. September 2004, [0, 2, 9, 10, 5, 7, 1, 11, 4, 3, 8, 6], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für zwei Trompeten, Horn, Posaune und Tuba. 1. Mai 1993, [0, 1, 2, 10, 3, 5, 11, 9, 4, 8, 7, 6], pc set (0, 2, 3, 4, 5, 7)
  • Lackner, Peter: Kanon für zwei Violinen, [0, 7, 4, 5, 9, 2, 3, 8, 11, 10, 6, 1], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für zwei Violinen. Frühjahr 1992, [0, 2, 4, 7, 9, 11, 5, 3, 1, 10, 8, 6], pc set (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für zwei Violinen und Klavier. 1. Dezember 2004, [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5], pc set (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für zwei Violinen und Klavier. Frühjahr 1984, [0, 1, 10, 7, 9, 4, 5, 11, 8, 6, 2, 3], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: Kanon à 3, [0, 11, 6, 10, 2, 7, 3, 4, 9, 5, 1, 8], pc set (0, 1, 4, 5, 6, 8)
  • Lackner, Peter: Kanon à 4 - 'Für Harald Fripertinger zum 50. Geburtstag', [0, 10, 3, 6, 5, 8, 1, 11, 9, 4, 7, 2], pc set (0, 2, 3, 5, 7, 9)
  • Lackner, Peter: Kanon á 4, [0, 4, 2, 8, 11, 7, 10, 5, 9, 1, 3, 6], pc set (0, 1, 3, 5, 8, 9)
  • Lackner, Peter: Kanon á 5 für Klaus Chudoba, [0, 2, 10, 8, 6, 11, 3, 1, 5, 7, 9, 4], pc set (0, 2, 3, 4, 6, 8)
  • Lackner, Peter: Moebius-Band für Flöte, Violine, Violoncello und Klavier, [0, 3, 6, 2, 9, 11, 7, 4, 1, 5, 10, 8], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: Moebius-Band für sechs Violinen, [0, 3, 6, 2, 9, 11, 7, 4, 1, 5, 10, 8], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: Moebiusband I für zwei Melodieinstrumente, [0, 6, 8, 2, 7, 1, 11, 5, 3, 9, 4, 10], pc set (0, 1, 2, 6, 7, 8)
  • Lackner, Peter: Moebiusband für Violine und Klavier (Chinesenfolter I), [0, 2, 4, 6, 10, 5, 1, 11, 9, 7, 3, 8], pc set (0, 1, 2, 4, 6, 8)
  • Lackner, Peter: Reihenspiel für Orgel, [0, 9, 6, 11, 5, 4, 10, 7, 2, 1, 8, 3], pc set (0, 1, 2, 5, 7, 8)
  • Lackner, Peter: Salambo-Kanon (à 4); Bad Aussee, 2. Februar 2008, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], pc set (0, 2, 3, 4, 6, 8)
  • Lackner, Peter: Sponsions-Kanon, [0, 4, 1, 10, 3, 7, 9, 5, 8, 11, 6, 2], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: TACET (drittes Lied aus dem Zyklus 'Wilde Erdbeeren'), [0, 2, 9, 5, 8, 11, 4, 7, 10, 6, 1, 3], pc set (0, 1, 3, 4, 6, 9)
  • Lackner, Peter: Trauermusik für Fagott, Kontrafagott und Pauke, [0, 6, 2, 8, 10, 4, 11, 5, 9, 3, 1, 7], pc set (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: kgV (3,4) [zweistimmiger Kanon für Klavier], [0, 10, 2, 3, 5, 7, 1, 11, 9, 8, 4, 6], pc set (0, 2, 4, 5, 7, 9)
  • Lang, Bernhard: 'Der Golem' nach Gustav Meyrinck, [0, 4, 7, 8, 11, 3, 5, 2, 9, 1, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  • Lang, Bernhard: Der Reigen, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], pc set (0, 1, 2, 3, 4, 5)
  • Lang, Bernhard: Hemma (Music Theatre Hemma Klagenfurt 2015), [0, 5, 10, 2, 3, 1, 7, 9, 8, 4, 11, 6], pc set (0, 2, 3, 4, 5, 7)
  • Lang, Bernhard: Monadologie XIII a; 'The Saucy Maid', [0, 1, 5, 2, 4, 9, 3, 10, 8, 11, 7, 6], pc set (0, 1, 3, 4, 5, 8)
  • Lang, Klaus: 'Von der Ligurischen Küste zum Trasimenischen See'; Trauermusik für Violine und Klavier, [0, 5, 9, 8, 10, 7, 1, 4, 2, 3, 11, 6], pc set (0, 2, 3, 4, 5, 7)
  • Leibowitz, René: String Quartet, No.3, Op.26, [0, 8, 9, 7, 6, 1, 2, 5, 4, 10, 11, 3], pc set (0, 1, 2, 3, 6, 7)
  • Leibowitz, René: Trois pièces pour piano, Op.19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11], pc set (0, 1, 2, 3, 4, 5)
  • Lewin, David: Just a Minute, Roger, [0, 11, 4, 5, 7, 3, 2, 6, 8, 1, 10, 9], pc set (0, 1, 4, 5, 6, 8)
  • Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 1, 2, 6, 7, 8), self-rotational interval pattern 6-11-6-11-6-5-
  • Lu, Shi-Lin: A Family of Red-Crowned Cranes, [0, 2, 9, 7, 4, 6, 11, 8, 1, 3, 10, 5], pc set (0, 2, 3, 5, 7, 9)
  • Lu, Yen: A Bird Flying By, [0, 6, 3, 4, 8, 7, 11, 5, 10, 2, 9, 1], pc set (0, 1, 2, 4, 5, 8)
  • Luo, Zhong-Rong: Chang'e, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], pc set (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Dusk, row 1, [0, 2, 7, 5, 10, 8, 6, 3, 1, 11, 9, 4], pc set (0, 2, 3, 5, 7, 9)
  • Luo, Zhong-Rong: Dusk, row 2, [0, 3, 7, 5, 8, 10, 1, 11, 6, 2, 4, 9], pc set (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Evening, [0, 2, 7, 5, 10, 8, 6, 3, 1, 11, 9, 4], pc set (0, 2, 3, 5, 7, 9)
  • Luo, Zhong-Rong: Morning Glory, [0, 2, 5, 9, 7, 10, 3, 11, 1, 4, 6, 8], pc set (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Picking lotus flowers at the riverside, [0, 2, 5, 7, 10, 3, 1, 4, 6, 9, 11, 8], pc set (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Sonatina, mvt 3, [0, 2, 7, 4, 11, 8, 5, 9, 10, 1, 3, 6], pc set (0, 1, 3, 5, 8, 9)
  • Luo, Zhong-Rong: String Quartet, No.2, [0, 3, 5, 10, 6, 8, 11, 1, 9, 2, 4, 7], pc set (0, 2, 3, 5, 7, 9)
  • Luo, Zhong-Rong: String Quartet, No.3, row 1, [0, 2, 4, 7, 5, 10, 8, 1, 6, 3, 9, 11], pc set (0, 2, 3, 5, 7, 9)
  • Luo, Zhong-Rong: String Quartet, No.3, row 3, [0, 2, 7, 9, 11, 1, 3, 6, 10, 4, 5, 8], pc set (0, 1, 2, 3, 5, 7)
  • Luo, Zhong-Rong: Three Piano Pieces, "Arabeque", row 1, [0, 2, 5, 10, 6, 1, 3, 8, 11, 9, 7, 4], pc set (0, 1, 4, 5, 6, 8)
  • Luo, Zhong-Rong: Three Piano Pieces, "Arabeque", row 2, [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 10, 5], pc set (0, 2, 4, 5, 7, 9)
  • Lutyens, Elisabeth: Essence Of Our Happinesses, Op.69, mvt II, Part I, [0, 11, 1, 10, 2, 3, 8, 9, 5, 6, 4, 7], pc set (0, 1, 2, 3, 4, 5)
  • Lutyens, Elisabeth: Five Little Pieces for Clarinet and Piano, [0, 8, 4, 1, 10, 2, 9, 3, 5, 6, 11, 7], pc set (0, 2, 3, 4, 6, 8)
  • Lutyens, Elisabeth: Islands, Op.80, [0, 11, 7, 3, 8, 10, 9, 6, 4, 5, 1, 2], pc set (0, 1, 3, 4, 5, 8)
  • Lutyens, Elisabeth: Motet (Excerota Tractati Logico-Philosophici), Op.27, [0, 11, 3, 7, 8, 4, 2, 6, 5, 1, 9, 10], pc set (0, 1, 4, 5, 8, 9)
  • Lutyens, Elisabeth: Présages, Op.53, [0, 1, 11, 2, 10, 8, 5, 3, 4, 7, 9, 6], pc set (0, 1, 2, 3, 4, 6)
  • Lutyens, Elisabeth: Quincunx, Op.44, [0, 6, 11, 1, 5, 2, 7, 3, 4, 9, 10, 8], pc set (0, 1, 2, 3, 6, 7)
  • Lutyens, Elisabeth: The Numbered, Altered Primary Row (swap pitches 2 and 3), [0, 11, 10, 1, 2, 9, 3, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Lutyens, Elisabeth: The Numbered, Primary Row, [0, 10, 11, 1, 2, 9, 3, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Maderna, Bruno: Improvvisazione N. 1, [0, 11, 4, 8, 3, 2, 7, 6, 1, 5, 10, 9], pc set (0, 1, 2, 4, 5, 8)
  • Maderna, Bruno: Musica su due dimensioni, [0, 2, 9, 4, 6, 11, 8, 10, 1, 3, 5, 7], pc set (0, 2, 3, 5, 7, 9)
  • Mamlok, Ursula: Haiku Settings, No.5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], pc set (0, 1, 4, 5, 8, 9)
  • Mamlok, Ursula: Panta Rhei, [0, 7, 4, 11, 8, 3, 10, 9, 6, 2, 5, 1], pc set (0, 1, 4, 5, 8, 9)
  • Mamlok, Ursula: Panta Rhei, secondary row (mvt 4, Piano), [0, 11, 8, 3, 4, 7, 2, 1, 6, 9, 10, 5], pc set (0, 1, 4, 5, 8, 9)
  • Martin, Frank: Petite complainte, [0, 11, 10, 6, 2, 4, 5, 9, 8, 7, 3, 1], pc set (0, 1, 2, 4, 6, 8)
  • Martino, Donald: Fantasy Variations, [0, 3, 1, 10, 2, 8, 11, 5, 6, 9, 7, 4], pc set (0, 1, 2, 3, 5, 7)
  • Martino, Donald: Notturno (Row B), [0, 7, 11, 10, 9, 8, 2, 1, 6, 3, 4, 5], pc set (0, 1, 2, 3, 4, 5)
  • Matthias, Hauer Josef: Zwölftonspiel für Holzbläser, Streicher und Klavier. April 1951, [0, 4, 9, 11, 7, 2, 3, 6, 8, 10, 5, 1], pc set (0, 2, 4, 5, 7, 9)
  • Matthias, Josef: Salambo, Op.60, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], pc set (0, 2, 3, 4, 6, 8)
  • Messiaen, Olivier: Livre d'orgue, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Messiaen, Olivier: Mode de valeurs et d'intensités, Series 1, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], pc set (0, 1, 2, 3, 6, 7)
  • Mittendorfer, Josef: aleatoric row, [0, 2, 7, 1, 8, 6, 10, 5, 4, 11, 3, 9], pc set (0, 1, 2, 6, 7, 8)
  • Moevs, Robert: Musica da Camera, [0, 1, 11, 3, 4, 2, 9, 10, 8, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Morris, Robert: By Far, [0, 1, 4, 11, 3, 2, 6, 7, 5, 10, 8, 9], pc set (0, 1, 2, 3, 4, 5)
  • Morris, Robert: Canonic Variations, [0, 3, 11, 1, 4, 8, 5, 6, 9, 10, 2, 7], pc set (0, 1, 3, 4, 5, 8)
  • Morris, Robert: Clash, [0, 3, 11, 10, 8, 1, 7, 9, 2, 6, 4, 5], pc set (0, 2, 3, 4, 5, 7)
  • Morris, Robert: Concerto for Piano and Strings, [0, 1, 6, 11, 7, 5, 10, 8, 4, 3, 2, 9], pc set (0, 1, 2, 6, 7, 8)
  • Morris, Robert: Cuts, [0, 10, 11, 7, 3, 8, 6, 9, 4, 5, 1, 2], pc set (0, 1, 3, 4, 5, 8)
  • Morris, Robert: Entanglements, [0, 3, 10, 5, 11, 6, 1, 7, 9, 2, 8, 4], pc set (0, 1, 2, 5, 7, 8)
  • Morris, Robert: Exchanges, [0, 4, 3, 1, 9, 5, 8, 6, 2, 10, 11, 7], pc set (0, 1, 2, 4, 5, 8)
  • Morris, Robert: Knot Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], pc set (0, 1, 3, 4, 5, 8)
  • Morris, Robert: Not Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], pc set (0, 1, 3, 4, 5, 8)
  • Morris, Robert: Pari Passu, row 1, [0, 6, 10, 11, 2, 3, 9, 1, 7, 8, 4, 5], pc set (0, 1, 2, 4, 5, 8)
  • Morris, Robert: Refrains, [0, 3, 4, 2, 6, 10, 1, 8, 11, 7, 5, 9], pc set (0, 2, 3, 4, 6, 8)
  • Morris, Robert: Roundelay, row 1, [0, 7, 4, 11, 9, 2, 6, 3, 10, 5, 8, 1], pc set (0, 2, 4, 5, 7, 9)
  • Morris, Robert: Roundelay, row 2, [0, 5, 9, 7, 8, 10, 4, 11, 1, 6, 2, 3], pc set (0, 2, 3, 4, 5, 7)
  • Morris, Robert: Roundelay, row 3, [0, 10, 9, 3, 4, 6, 8, 11, 2, 7, 1, 5], pc set (0, 1, 3, 6, 7, 9)
  • Morris, Robert: Roundelay, row 4, [0, 3, 11, 10, 7, 2, 6, 9, 5, 4, 1, 8], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-8-11-9-7-4-
  • Morris, Robert: Roundelay, row 5, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Morris, Robert: Roundelay, row 6, [0, 10, 5, 11, 4, 6, 8, 7, 2, 3, 9, 1], pc set (0, 1, 2, 6, 7, 8)
  • Morris, Robert: Something New, [0, 9, 4, 8, 11, 7, 3, 6, 10, 5, 2, 1], pc set (0, 1, 3, 4, 5, 8)
  • Morris, Robert: Strange Flowers, Occasional Storms, [0, 1, 8, 3, 5, 4, 10, 6, 9, 7, 11, 2], pc set (0, 1, 3, 4, 5, 8)
  • Morris, Robert: Terrane, [0, 11, 1, 3, 2, 5, 6, 4, 9, 7, 8, 10], pc set (0, 1, 2, 3, 4, 6)
  • Morris, Robert: Three Musicians, [0, 9, 7, 6, 8, 1, 11, 2, 4, 5, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  • Morris, Robert: Tournament for 12 trombones, [0, 7, 6, 4, 11, 8, 5, 9, 1, 3, 2, 10], pc set (0, 1, 4, 5, 6, 8)
  • Morris, Robert: Tête‐à‐Tête, [0, 3, 11, 10, 1, 8, 2, 6, 9, 5, 4, 7], pc set (0, 2, 3, 4, 5, 7)
  • Morris, Robert: …gradually…, [0, 1, 8, 3, 5, 4, 6, 7, 9, 11, 2, 10], pc set (0, 1, 3, 4, 5, 8)
  • Nichols, Jeff: ...its darkening opposite, or Set Portrait in a Convex Mirror, [0, 4, 8, 7, 11, 2, 3, 6, 1, 9, 10, 5], pc set (0, 1, 3, 5, 8, 9)
  • Nono, Luigi: Canti per tredeci, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: Composizione per orchestra, No.1, [0, 1, 7, 6, 2, 8, 4, 3, 5, 10, 11, 9], pc set (0, 1, 2, 6, 7, 8)
  • Nono, Luigi: Cori di Didone, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: Il canto sospeso, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: Incontri, [0, 2, 3, 8, 9, 6, 4, 5, 7, 11, 1, 10], pc set (0, 1, 3, 6, 7, 9)
  • Nono, Luigi: Intolleranza, Soprano 1, [0, 3, 4, 7, 8, 5, 6, 9, 10, 1, 2, 11], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-1-3-1-9-1-
  • Nono, Luigi: La terra e la compagna (sketch), Series 1, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: La terra e la compagna (sketch), Series 2, [0, 6, 1, 7, 11, 5, 2, 8, 10, 4, 3, 9], pc set (0, 1, 2, 6, 7, 8)
  • Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], pc set (0, 1, 3, 4, 6, 9)
  • Nono, Luigi: La terra e la compagna (sketch), Series 5, [0, 7, 2, 4, 9, 10, 5, 1, 6, 11, 8, 3], pc set (0, 2, 3, 5, 7, 9)
  • Nono, Luigi: La terra e la compagna (sketch), Series 7, [0, 5, 3, 10, 7, 1, 8, 9, 2, 6, 11, 4], pc set (0, 2, 3, 5, 7, 9)
  • Nono, Luigi: La terra e la compagna (sketch), Series 8, [0, 4, 5, 11, 3, 6, 10, 2, 7, 9, 1, 8], pc set (0, 1, 2, 3, 6, 7)
  • Nono, Luigi: Variazioni canoniche sulla serie dell'Op.41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4, 5, 8, 9)
  • Papaioannou, Yannis: Songs of the Lake, No.1, [0, 8, 5, 7, 6, 11, 2, 10, 1, 3, 9, 4], pc set (0, 1, 2, 3, 6, 7)
  • Papaioannou, Yannis: Songs of the Lake, No.2, [0, 7, 4, 6, 5, 1, 9, 2, 8, 10, 3, 11], pc set (0, 1, 2, 3, 6, 7)
  • Papaioannou, Yannis: Songs of the Lake, No.4, [0, 5, 11, 9, 6, 10, 7, 2, 3, 1, 4, 8], pc set (0, 1, 2, 3, 6, 7)
  • Papaioannou, Yannis: Suite, "XP", [0, 4, 2, 1, 6, 8, 3, 9, 7, 10, 5, 11], pc set (0, 1, 2, 4, 6, 8)
  • Papaioannou, Yannis: Suite, "YP", [0, 10, 9, 8, 1, 4, 5, 7, 3, 6, 2, 11], pc set (0, 1, 2, 4, 5, 8)
  • Pentland, Barbara: String Quartet, No.3, [0, 11, 3, 6, 5, 9, 10, 8, 1, 2, 7, 4], pc set (0, 1, 3, 6, 7, 9)
  • Perle, George: First string quartet, [0, 1, 3, 6, 10, 9, 8, 7, 4, 5, 11, 2], pc set (0, 1, 3, 4, 6, 9)
  • Pousseur, Henri: Trois Chants Sacrés, [0, 10, 11, 4, 1, 5, 9, 6, 3, 7, 2, 8], pc set (0, 1, 2, 3, 6, 7)
  • Preßl, Hermann Markus: 'A 5' für Bassklarinette, Vibraphon und drei Bratschen, [0, 6, 5, 8, 10, 7, 3, 2, 4, 9, 1, 11], pc set (0, 1, 2, 3, 5, 7)
  • Preßl, Hermann Markus: Finstersonnen, [0, 3, 9, 6, 11, 5, 1, 2, 7, 8, 10, 4], pc set (0, 1, 3, 6, 7, 9)
  • Preßl, Hermann Markus: N. N. 50; 'Die Zeremonie des Abschieds', [0, 9, 4, 2, 7, 5, 8, 1, 6, 3, 11, 10], pc set (0, 2, 4, 5, 7, 9)
  • Preßl, Herrmann Markus: Fier Fafeln für Fier Fiolen, [0, 7, 8, 11, 9, 4, 6, 10, 1, 5, 3, 2], pc set (0, 1, 3, 4, 5, 8)
  • Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  • Pärt, Arvo: Perpetuum Mobile, [0, 11, 10, 5, 6, 9, 7, 1, 2, 8, 3, 4], pc set (0, 1, 2, 3, 6, 7)
  • Pärt, Arvo: Symphony, No.1, [0, 1, 2, 7, 6, 3, 5, 11, 10, 4, 9, 8], pc set (0, 1, 2, 3, 6, 7)
  • Reynolds, Roger: Ambages, [0, 1, 4, 5, 7, 6, 8, 9, 10, 11, 2, 3], pc set (0, 1, 2, 3, 6, 7)
  • Riegebauer, Sigrid: Toccata, [0, 3, 1, 2, 11, 10, 4, 5, 8, 7, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  • Rochberg, George: Sonata-Fantasia, [0, 11, 10, 4, 5, 6, 9, 8, 7, 1, 2, 3], pc set (0, 1, 2, 6, 7, 8), self-rotational interval pattern 11-11-6-1-1-3-
  • Rochberg, George: String Quartet, No.2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], pc set (0, 1, 2, 3, 6, 7)
  • Rochberg, George: Symphony, No.2, [0, 8, 1, 4, 9, 5, 6, 2, 3, 10, 11, 7], pc set (0, 1, 4, 5, 8, 9)
  • Sande, Henrik: 'Volkslied' für zwei Singstimmen und Klavier. 24. 12. 2015, [0, 2, 4, 5, 7, 9, 10, 8, 6, 3, 1, 11], pc set (0, 2, 4, 5, 7, 9)
  • Santoro, Claudio: Peças para Piano, [0, 11, 4, 5, 1, 9, 2, 3, 7, 8, 6, 10], pc set (0, 1, 4, 5, 6, 8)
  • Santoro, Claudio: Preludes 18-20, [0, 9, 1, 3, 2, 8, 10, 4, 6, 5, 7, 11], pc set (0, 1, 2, 3, 6, 7)
  • Santoro, Claudio: Six Piano Pieces, [0, 10, 4, 1, 11, 2, 5, 6, 3, 9, 7, 8], pc set (0, 1, 2, 3, 4, 6)
  • Santoro, Claudio: Sonata, No.1, [0, 10, 3, 8, 11, 1, 2, 9, 7, 4, 5, 6], pc set (0, 2, 3, 4, 5, 7)
  • Schnittke, Alfred: Concerto, No.2 for Violin and Chamber Orchestra, [0, 11, 1, 2, 10, 3, 4, 9, 5, 6, 8, 7], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Concerto Grosso, No.1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], pc set (0, 1, 2, 3, 6, 7)
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 7, [0, 3, 11, 9, 10, 1, 4, 2, 7, 8, 5, 6], pc set (0, 1, 2, 3, 4, 6)
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 8, [0, 11, 7, 9, 10, 8, 6, 5, 3, 4, 1, 2], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 1, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7], pc set (0, 1, 3, 5, 8, 9)
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Concerto Grosso, No.3, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7], pc set (0, 1, 3, 5, 8, 9)
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 1, [0, 3, 6, 10, 2, 11, 8, 5, 9, 1, 4, 7], pc set (0, 1, 2, 4, 5, 8)
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 2, [0, 3, 7, 10, 2, 11, 6, 9, 1, 4, 8, 5], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-4-3-4-9-7-
  • Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, [0, 2, 3, 1, 4, 5, 11, 10, 7, 9, 8, 6], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.1, [0, 2, 1, 10, 3, 11, 5, 9, 4, 7, 8, 6], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.4, [0, 11, 10, 1, 3, 2, 4, 9, 8, 6, 5, 7], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.4, mvt 2, m.40, [0, 5, 10, 3, 2, 7, 8, 1, 6, 11, 4, 9], pc set (0, 2, 4, 5, 7, 9)
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.122, [0, 1, 11, 2, 10, 3, 4, 9, 8, 7, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-10-1-10-11-11-
  • Schnittke, Alfred: Symphony, No.7, mvt 3, row X, [0, 1, 10, 11, 2, 3, 9, 4, 5, 8, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Symphony, No.7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Viola Concerto, [0, 11, 5, 2, 1, 6, 3, 8, 7, 4, 10, 9], pc set (0, 1, 2, 3, 6, 7)
  • Schnittke, Alfred: Violin Sonata 2, [0, 10, 11, 9, 6, 8, 7, 5, 4, 1, 2, 3], pc set (0, 1, 2, 3, 4, 6)
  • Schoenberg, Arnold: A Survivor From Warsaw, Op.46, [0, 1, 6, 2, 10, 9, 5, 4, 11, 3, 7, 8], pc set (0, 1, 2, 4, 5, 8)
  • Schoenberg, Arnold: A Survivor From Warsaw, Op.46 (alternative), [0, 1, 6, 2, 10, 9, 4, 7, 3, 8, 11, 5], pc set (0, 1, 2, 4, 5, 8)
  • Schoenberg, Arnold: Accompaniment to a Film Scene, Op.34, [0, 3, 11, 1, 10, 9, 6, 8, 7, 5, 2, 4], pc set (0, 1, 2, 3, 4, 6)
  • Schoenberg, Arnold: Fantasy for Piano Four Hands, II (fragment), [0, 3, 6, 1, 7, 8, 2, 5, 11, 4, 10, 9], pc set (0, 1, 2, 5, 7, 8)
  • Schoenberg, Arnold: Fantasy for Piano Four Hands, I, [0, 4, 2, 5, 3, 7, 11, 10, 1, 8, 9, 6], pc set (0, 2, 3, 4, 5, 7)
  • Schoenberg, Arnold: Fantasy for Violin and Piano, Op.47, [0, 11, 3, 1, 7, 9, 5, 6, 2, 4, 10, 8], pc set (0, 2, 3, 4, 6, 8)
  • Schoenberg, Arnold: Five Piano Pieces, Op.23, No.5, [0, 8, 10, 6, 7, 5, 9, 1, 3, 2, 11, 4], pc set (0, 1, 2, 3, 5, 7)
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.1, Op.27, No.1, [0, 11, 8, 2, 1, 7, 9, 10, 4, 3, 5, 6], pc set (0, 1, 2, 3, 6, 7)
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.2, Op.27, No.2, [0, 11, 4, 10, 2, 8, 3, 7, 6, 5, 9, 1], pc set (0, 2, 3, 4, 6, 8)
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.3, Op.27, No.3, [0, 11, 7, 9, 10, 8, 4, 5, 1, 3, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.4, Op.27, No.4, [0, 2, 9, 5, 7, 3, 10, 11, 1, 8, 4, 6], pc set (0, 2, 3, 5, 7, 9)
  • Schoenberg, Arnold: Modern Psalms, The First Psalm, Op.50c, [0, 11, 8, 4, 7, 3, 1, 5, 2, 6, 9, 10], pc set (0, 1, 4, 5, 8, 9)
  • Schoenberg, Arnold: Moses und Aron, [0, 1, 7, 5, 6, 4, 10, 8, 9, 11, 2, 3], pc set (0, 1, 2, 3, 6, 7)
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 11-4-1-4-11-7-
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4, 5, 8, 9)
  • Schoenberg, Arnold: Piano Concerto, Op.42, [0, 7, 11, 2, 1, 9, 3, 5, 10, 6, 8, 4], pc set (0, 1, 2, 3, 5, 7)
  • Schoenberg, Arnold: Prelude To A Suite From "Genesis", Op.44, [0, 8, 4, 7, 6, 2, 1, 10, 3, 5, 11, 9], pc set (0, 1, 2, 4, 6, 8)
  • Schoenberg, Arnold: Psalm 130, De Profundis (unfinished), Op.50B, [0, 6, 5, 1, 11, 7, 4, 8, 9, 3, 2, 10], pc set (0, 1, 2, 6, 7, 8)
  • Schoenberg, Arnold: Serenade, mvt 4, "Sonett", Op.24, [0, 10, 11, 7, 8, 9, 4, 2, 5, 1, 3, 6], pc set (0, 1, 2, 3, 4, 5)
  • Schoenberg, Arnold: Serenade, mvt 5, "Tanzscene", Op.24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5], pc set (0, 1, 3, 6, 7, 9)
  • Schoenberg, Arnold: Six Pieces for Male Chorus, No.1, Op.35, [0, 9, 1, 3, 2, 11, 6, 8, 7, 4, 10, 5], pc set (0, 1, 2, 3, 4, 6)
  • Schoenberg, Arnold: Six Pieces for Male Chorus, No.2, Op.35, [0, 3, 1, 7, 6, 8, 11, 5, 4, 9, 10, 2], pc set (0, 1, 2, 5, 7, 8)
  • Schoenberg, Arnold: Six Pieces for Male Chorus, No.5, Op.35, [0, 6, 9, 1, 2, 10, 7, 3, 11, 5, 4, 8], pc set (0, 1, 2, 4, 5, 8)
  • Schoenberg, Arnold: Sonata For Organ, [0, 6, 10, 2, 8, 1, 7, 5, 9, 4, 11, 3], pc set (0, 1, 2, 4, 6, 8)
  • Schoenberg, Arnold: String Quartet, No.4, Op.37, [0, 11, 7, 8, 3, 1, 2, 10, 6, 5, 4, 9], pc set (0, 1, 4, 5, 6, 8)
  • Schoenberg, Arnold: String Trio, Op.45, [0, 8, 1, 7, 2, 11, 9, 6, 4, 5, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  • Schoenberg, Arnold: Suite, Op.29, [0, 4, 3, 7, 11, 8, 9, 6, 5, 1, 2, 10], pc set (0, 1, 4, 5, 8, 9)
  • Schoenberg, Arnold: Suite for Piano, Op.25, [0, 1, 3, 9, 2, 11, 4, 10, 7, 8, 5, 6], pc set (0, 1, 2, 3, 4, 6)
  • Schoenberg, Arnold: Three Satires for Mixed Chorus, No.3, Op.28, No.3, [0, 1, 11, 3, 9, 5, 2, 4, 10, 6, 8, 7], pc set (0, 2, 3, 4, 6, 8)
  • Schoenberg, Arnold: Three Songs, No.2, "Tot", Op.48, [0, 1, 7, 11, 8, 2, 6, 5, 10, 9, 3, 4], pc set (0, 1, 2, 3, 6, 7)
  • Schoenberg, Arnold: Three Songs, No.3, "Madchenlied", Op.48, [0, 6, 8, 10, 2, 4, 9, 5, 3, 11, 7, 1], pc set (0, 2, 4, 6, 8, 10)
  • Schoenberg, Arnold: Three Times a Thousand Years, Op.50a, [0, 2, 11, 9, 10, 4, 3, 7, 5, 6, 8, 1], pc set (0, 1, 2, 3, 5, 7)
  • Schoenberg, Arnold: Two Piano Pieces, No.1, Op.33a, [0, 7, 2, 1, 11, 8, 3, 5, 9, 10, 4, 6], pc set (0, 1, 2, 3, 6, 7)
  • Schoenberg, Arnold: Two Piano Pieces, No.2, Op.33b, [0, 2, 6, 4, 10, 9, 7, 11, 8, 5, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  • Schoenberg, Arnold: Variations for Orchestra, Op.31, [0, 6, 8, 5, 7, 11, 4, 3, 9, 10, 1, 2], pc set (0, 1, 2, 3, 6, 7)
  • Schoenberg, Arnold: Violin Concerto, Op.36, [0, 1, 6, 2, 7, 9, 3, 4, 10, 11, 5, 8], pc set (0, 1, 2, 5, 7, 8)
  • Schoenberg, Arnold: Violin Phantasy, Op.47, [0, 11, 3, 1, 7, 9, 6, 2, 10, 5, 8, 4], pc set (0, 2, 3, 4, 6, 8)
  • Schoenberg, Arnold: Von Heute Auf Morgen, Op.32, [0, 1, 7, 11, 9, 3, 6, 5, 2, 10, 8, 4], pc set (0, 2, 3, 4, 6, 8)
  • Schoenberg, Arnold: Wind Quintet, Op.26, [0, 4, 6, 8, 10, 9, 7, 11, 1, 3, 5, 2], pc set (0, 2, 3, 4, 6, 8)
  • Schuller, Gunther: Transformation, [0, 2, 4, 3, 8, 11, 9, 6, 5, 10, 7, 1], pc set (0, 1, 2, 4, 5, 8)
  • Schwantner, Joseph: ...and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 11-9-11-9-11-11-
  • Schwantner, Joseph: Elixir (Consortium VIII), [0, 8, 4, 3, 7, 11, 10, 6, 9, 5, 1, 2], pc set (0, 1, 4, 5, 8, 9)
  • Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 1-3-1-3-1-9-
  • Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  • Schwantner, Joseph: In Aeternum (Principal Row), [0, 4, 11, 6, 10, 5, 1, 9, 2, 7, 3, 8], pc set (0, 1, 2, 6, 7, 8)
  • Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], pc set (0, 1, 2, 6, 7, 8)
  • Schwantner, Joseph: Modus Caelestis (m. 39), [0, 6, 11, 10, 5, 9, 4, 8, 3, 2, 7, 1], pc set (0, 1, 2, 3, 6, 7)
  • Schwantner, Joseph: Wild Angels of the Open Hills, 2, "Angels of the Shadowed Ancient Land," m. 21, [0, 8, 9, 11, 3, 7, 6, 5, 2, 4, 10, 1], pc set (0, 1, 2, 4, 5, 8)
  • Searle, Humphrey: Toccata alla Passacaglia, Op.31, [0, 5, 6, 1, 10, 7, 9, 8, 3, 2, 4, 11], pc set (0, 1, 2, 5, 7, 8)
  • Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], pc set (0, 1, 2, 3, 6, 7)
  • Seiber, Mátyás: Sonata for Violin and Piano, [0, 1, 11, 10, 7, 6, 8, 9, 4, 3, 5, 2], pc set (0, 1, 2, 3, 6, 7)
  • Seiber, Mátyás: String Quartet, No.2, [0, 2, 3, 1, 4, 11, 5, 10, 7, 9, 8, 6], pc set (0, 1, 2, 3, 4, 5)
  • Seiber, Mátyás: Ulysses, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4, 5, 8, 9)
  • Sengstschmid, Johann: Meditation für Orgel, Op.43a, [0, 6, 3, 1, 10, 8, 5, 2, 11, 9, 7, 4], pc set (0, 2, 3, 5, 7, 9)
  • Sessions, Roger: Piano Sonata, No.3, mvt 2, [0, 1, 5, 4, 8, 2, 11, 10, 6, 7, 3, 9], pc set (0, 1, 2, 4, 5, 8)
  • Sessions, Roger: When Lilacs Last in the Dooryard Bloom'd, [0, 2, 4, 10, 5, 8, 9, 1, 11, 7, 6, 3], pc set (0, 1, 3, 5, 7, 9)
  • Shapey, Ralph: String Quartet, No.9, [0, 8, 9, 3, 5, 1, 2, 6, 4, 10, 11, 7], pc set (0, 1, 3, 5, 8, 9)
  • Shostakovich, Dmitri: Symphony, No.14, mov. I, [0, 11, 9, 4, 3, 10, 8, 7, 5, 6, 1, 2], pc set (0, 1, 2, 3, 6, 7)
  • Slonimsky, Nicholas: No. 1214a Thirds (Twelve-Tone Patterns), [0, 4, 8, 11, 3, 7, 6, 10, 2, 5, 9, 1], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 4-4-3-4-4-11-
  • Slonimsky, Nicholas: No. 1215a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 7, 2, 9, 4, 11, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1216a Foutths (Twelve-Tone Patterns), [0, 5, 10, 3, 7, 2, 9, 4, 8, 1, 6, 11], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1217a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 11, 6, 1, 8, 4, 9, 2, 7], pc set (0, 1, 2, 5, 7, 8)
  • Slonimsky, Nicholas: No. 1223a Sixths (Twelve-Tone Patterns), [0, 8, 4, 1, 5, 9, 6, 2, 10, 7, 11, 3], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 8-8-9-4-4-9-
  • Slonimsky, Nicholas: No. 1224a Sixths (Twelve-Tone Patterns), [0, 9, 6, 3, 7, 10, 1, 4, 8, 5, 2, 11], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1225a Sixths (Twelve-Tone Patterns), [0, 8, 4, 7, 11, 3, 6, 2, 10, 1, 5, 9], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 8-8-3-4-4-3-
  • Slonimsky, Nicholas: No. 1226a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 8, 2, 4, 6, 1, 11, 9, 3, 5, 7], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 10-10-6-2-2-7-
  • Slonimsky, Nicholas: No. 1227a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 4, 2, 8, 6, 1, 11, 9, 7, 5, 3], pc set (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1228a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 2, 4, 8, 6, 11, 1, 5, 3, 7, 9], pc set (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1229a Major Sevenths (Twelve-Tone Patterns), [0, 11, 10, 9, 8, 7, 1, 2, 3, 4, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1230a Major Sevenths (Twelve-Tone Patterns), [0, 11, 3, 4, 8, 7, 1, 2, 6, 5, 9, 10], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1231a Major Sevenths (Twelve-Tone Patterns), [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1232a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1233a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1234a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1235a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1236a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 9, 2, 4, 7, 5, 6, 8, 3, 1, 10], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1237a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 9, 7, 2, 4, 6, 5, 3, 1, 8, 10], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 11-10-10-7-2-2-
  • Slonimsky, Nicholas: No. 1238a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 9, 7, 5, 3, 2, 4, 6, 8, 1, 10, 11], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1239a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 2, 9, 4, 7, 6, 5, 8, 3, 10, 1], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 11-3-7-7-3-11-
  • Slonimsky, Nicholas: No. 1240a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 9, 2, 4, 7, 5, 3, 6, 8, 1, 10], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1241a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals), [0, 9, 6, 3, 11, 5, 2, 8, 7, 10, 1, 4], pc set (0, 1, 3, 6, 7, 9)
  • Slonimsky, Nicholas: No. 1242a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals), [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1244a Crossing Sixths (Crossing Intervals), [0, 3, 8, 7, 4, 11, 1, 2, 10, 5, 6, 9], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1245a Crossing Fifths (Crossing Intervals), [0, 5, 7, 10, 2, 3, 9, 8, 4, 1, 11, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1246a Crossing Fourths (Crossing Intervals), [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1247a Crossing Thirds (Crossing Intervals), [0, 3, 4, 11, 7, 8, 10, 5, 2, 1, 6, 9], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1248a Crossing Thirds (Crossing Intervals), [0, 5, 4, 1, 8, 9, 11, 6, 3, 2, 7, 10], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1250a Crossing Seconds (Crossing Intervals), [0, 11, 2, 9, 4, 7, 6, 5, 8, 3, 10, 1], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 11-3-7-7-3-11-
  • Slonimsky, Nicholas: No. 1252a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 5, 9, 2, 6, 8, 11, 4], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1252b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 10, 6, 2, 11, 7, 4, 1, 9], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1254a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 1], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1254b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 1, 10, 6, 4, 11, 7, 5, 2, 9], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1255a [Slonimsky: Moto Perpetuo] Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 6, 9, 2, 5, 8, 11, 3], pc set (0, 1, 3, 6, 7, 9)
  • Slonimsky, Nicholas: No. 1255b [Slonimsky: Moto Perpetuo] Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 2, 9, 6, 5, 1, 10, 7, 4, 11], pc set (0, 1, 3, 6, 7, 9)
  • Slonimsky, Nicholas: No. 1256a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 5, 8, 11, 4, 6, 9, 1], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1256b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 4, 2, 11, 7, 5, 1, 8, 6, 3, 10], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1257a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 1, 6, 9, 2, 5], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1257b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 3, 11, 7, 5, 2, 10, 6, 1, 9], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1258a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 1, 5, 8, 11, 4], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1258b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 11, 7, 2, 10, 6, 4, 1, 9], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1259a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 2, 6, 9, 1, 5, 7, 10, 3], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1259b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 2, 10, 7, 5, 1, 9, 6, 3, 11], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1260a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 6, 9, 1, 5, 8, 11, 3], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1260b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 2, 10, 6, 5, 1, 9, 7, 4, 11], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1263a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 1, 4, 8, 11, 5], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1263b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 11, 7, 6, 2, 9, 4, 1, 10], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1265b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 3, 1, 10, 6, 4, 11, 7, 5, 2, 8], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1266b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 3, 2, 11, 6, 5, 1, 8, 7, 4, 10], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1267a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 4, 8, 11, 5, 6, 9, 2], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1267b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 4, 1, 10, 7, 5, 2, 8, 6, 3, 11], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1270a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 2, 6, 7, 11, 3, 5, 9, 1], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 4-4-2-4-4-1-
  • Slonimsky, Nicholas: No. 1270b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 2, 10, 6, 3, 11, 7, 5, 1, 9], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 8-8-10-8-8-9-
  • Slonimsky, Nicholas: No. 1273a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 5, 9, 6, 2, 11, 8, 4], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1273b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 5, 1, 2, 6, 9, 8, 4, 11], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1275a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 5, 9, 6, 1, 11, 8, 3], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1275b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 5, 2, 1, 6, 9, 8, 3, 11], pc set (0, 2, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1276a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 6, 9, 5, 2, 11, 8, 3], pc set (0, 1, 3, 6, 7, 9)
  • Slonimsky, Nicholas: No. 1276b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 6, 1, 2, 5, 9, 8, 3, 11], pc set (0, 1, 3, 6, 7, 9)
  • Slonimsky, Nicholas: No. 1277a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 5, 8, 4, 11, 9, 6, 1], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1277b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 5, 2, 4, 8, 11, 9, 6, 1], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1278a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 6, 1, 9, 5, 2], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1278b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 7, 3, 6, 10, 1, 9, 5, 2], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1279a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 5, 1, 11, 8, 4], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1279b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 6, 2, 1, 5, 9, 8, 4, 11], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1280a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 2, 6, 9, 5, 1, 10, 7, 3], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1280b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 6, 2, 5, 9, 1, 10, 7, 3], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1281a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 6, 9, 5, 1, 11, 8, 3], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1281b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 6, 2, 1, 5, 9, 8, 3, 11], pc set (0, 1, 3, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1284a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 4, 1, 11, 8, 5], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1284b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 6, 2, 1, 4, 9, 8, 5, 11], pc set (0, 1, 3, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1286a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 2, 10, 8, 5, 11], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1286b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 4, 1, 10, 2, 7, 8, 5, 11], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1287a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 2, 5, 8, 4, 11, 10, 7, 1], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1287b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 5, 2, 11, 4, 8, 7, 1, 10], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1288a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 4, 8, 5, 11, 9, 6, 2], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1288b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 4, 1, 11, 5, 8, 6, 2, 9], pc set (0, 1, 3, 4, 6, 9)
  • Slonimsky, Nicholas: No. 1290a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 1, 5, 6, 2, 10, 7, 3, 11], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1290b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 5, 1, 10, 2, 6, 7, 3, 11], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 4-4-1-8-8-9-
  • Slonimsky, Nicholas: No. 1291a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 2, 6, 7, 3, 11, 9, 5, 1], pc set (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1291b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 6, 2, 11, 3, 7, 9, 5, 1], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 4-4-2-8-8-9-
  • Slonimsky, Nicholas: No. 1292a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 6, 2, 1, 9, 5], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1292b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 7, 3, 2, 6, 10, 9, 5, 1], pc set (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1293a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 2-2-1-2-2-9-
  • Slonimsky, Nicholas: No. 1293b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 3, 1, 11, 10, 8, 6, 9, 7, 5, 4, 2], pc set (0, 2, 3, 4, 5, 7), self-rotational interval pattern 3-10-10-11-10-10-
  • Slonimsky, Nicholas: No. 1294a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 9, 4, 7, 5, 2, 6, 3, 10, 1, 11, 8], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 9-7-3-10-9-4-
  • Slonimsky, Nicholas: No. 1294b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 8, 11, 1, 10, 3, 6, 2, 5, 7, 4, 9], pc set (0, 2, 3, 4, 5, 7), self-rotational interval pattern 8-3-2-9-5-3-
  • Slonimsky, Nicholas: No. 1295a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 2, 5, 4, 3, 1, 6, 8, 11, 10, 9, 7], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 2-3-11-11-10-5-
  • Slonimsky, Nicholas: No. 1295b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 7, 9, 10, 11, 8, 6, 1, 3, 4, 5, 2], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 7-2-1-1-9-10-
  • Slonimsky, Nicholas: No. 1296a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 7, 8, 3, 4, 11, 6, 1, 2, 9, 10, 5], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 7-1-7-1-7-7-
  • Slonimsky, Nicholas: No. 1296b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 5, 10, 9, 2, 1, 6, 11, 4, 3, 8, 7], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 5-5-11-5-11-5-
  • Slonimsky, Nicholas: No. 1297a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 9, 7, 2, 4, 6, 5, 3, 1, 8, 10], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 11-10-10-7-2-2-
  • Slonimsky, Nicholas: No. 1297b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 10, 8, 1, 3, 5, 6, 4, 2, 7, 9, 11], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 10-10-5-2-2-1-
  • Slonimsky, Nicholas: No. 1298a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 1, 10, 2, 9, 6, 5, 7, 4, 8, 3], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-2-9-4-7-9-
  • Slonimsky, Nicholas: No. 1298b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 3, 8, 4, 7, 5, 6, 9, 2, 10, 1, 11], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-5-8-3-10-1-
  • Slonimsky, Nicholas: No. 1299a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 9, 2, 7, 4, 5, 6, 3, 8, 1, 10, 11], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 9-5-5-9-1-1-
  • Slonimsky, Nicholas: No. 1299b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 10, 1, 8, 3, 6, 5, 4, 7, 2, 9], pc set (0, 2, 3, 4, 5, 7), self-rotational interval pattern 11-11-3-7-7-3-
  • Slonimsky, Nicholas: No. 1300a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 1, 10, 2, 9, 6, 5, 7, 4, 8, 3], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-2-9-4-7-9-
  • Slonimsky, Nicholas: No. 1300b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 3, 8, 4, 7, 5, 6, 9, 2, 10, 1, 11], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-5-8-3-10-1-
  • Slonimsky, Nicholas: No. 1301 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 1, 4, 8, 3, 5, 11, 9, 2, 10, 7, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1302 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1303 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 2, 3, 7, 10, 5, 11, 4, 1, 9, 8, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1304 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Triad), [0, 3, 7, 8, 10, 5, 11, 4, 2, 1, 9, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1305 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Sixth-Chord), [0, 3, 8, 10, 11, 7, 1, 5, 4, 2, 9, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1306 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Triad), [0, 4, 7, 8, 3, 5, 11, 9, 2, 1, 10, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1307 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Sixth-Chord), [0, 4, 9, 8, 11, 1, 7, 5, 2, 3, 10, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1308 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Six-Four Chord), [0, 5, 8, 10, 9, 1, 7, 3, 4, 2, 11, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1309 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Six-Four Chord), [0, 5, 9, 8, 10, 1, 7, 4, 2, 3, 11, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1310 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1311 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 9, 10, 2, 5, 11, 8, 4, 3, 1, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1312 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 10, 2, 3, 5, 11, 9, 8, 4, 1, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1313 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 11, 2, 4, 3, 9, 10, 8, 5, 1, 6], pc set (0, 1, 3, 4, 5, 8)
  • Slonimsky, Nicholas: No. 1314 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 2, 7, 4, 5, 9, 3, 11, 10, 1, 8, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1315 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 4, 5, 2, 7, 9, 3, 1, 8, 11, 10, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1316 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 7, 4, 5, 9, 2, 8, 3, 11, 10, 1, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1317 Invertible Dodecaphonic Progressions - With all Different Intervals. (Mother Chord), [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1318 Invertible Dodecaphonic Progressions - With all Different Intervals. (Grandmother Chord), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 639 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 5, 4, 3, 6, 7, 8, 11, 10, 9], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 1-1-3-11-11-3-
  • Slonimsky, Nicholas: No. 640 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 10, 7, 8, 9, 6, 5, 4, 1, 2, 3], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-11-9-1-1-9-
  • Slonimsky, Nicholas: No. 641 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 7, 6, 5, 4, 8, 9, 10, 11], pc set (0, 1, 2, 3, 6, 7)
  • Slonimsky, Nicholas: No. 642 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 643 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 6, 7, 8, 9, 10, 11, 5, 4, 3, 2, 1], pc set (0, 1, 2, 3, 4, 6)
  • Slonimsky, Nicholas: No. 644 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 6, 7, 8, 9, 10, 11, 5, 4, 3, 2, 1], pc set (0, 1, 2, 3, 4, 6)
  • Slonimsky, Nicholas: No. 915 Miscellaneous Patterns (Diatessaron Progression; Equal Division of Five Octaves into Twelve Parts), [0, 10, 2, 8, 4, 6, 5, 3, 7, 1, 9, 11], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 10-4-6-8-2-11-
  • Smith, Hale: Contours for Orchestra, [0, 5, 6, 4, 10, 11, 7, 2, 1, 3, 9, 8], pc set (0, 1, 2, 6, 7, 8)
  • Spinner, Leopold: Chamber Symphony, Op.28, [0, 11, 10, 6, 4, 5, 2, 1, 3, 7, 8, 9], pc set (0, 1, 2, 6, 7, 8)
  • Spinner, Leopold: Concert for Piano and Orchestra, Op.4, [0, 2, 1, 9, 11, 3, 4, 7, 5, 6, 10, 8], pc set (0, 1, 2, 3, 4, 6)
  • Spinner, Leopold: Fantasy for Piano, Op.9 , [0, 1, 4, 5, 2, 3, 8, 9, 6, 7, 10, 11], pc set (0, 1, 2, 3, 4, 5)
  • Spinner, Leopold: Fünf Lieder, Op.8, [0, 3, 4, 7, 8, 5, 11, 9, 10, 2, 6, 1], pc set (0, 1, 3, 4, 5, 8)
  • Spinner, Leopold: Ich lieb' eine Blume for Four-part mixed Choir, [0, 11, 2, 4, 9, 7, 1, 3, 10, 8, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  • Spinner, Leopold: Ouverture for Orchestra, Op.5, [0, 11, 2, 10, 8, 1, 7, 5, 6, 9, 3, 4], pc set (0, 1, 2, 3, 4, 6)
  • Spinner, Leopold: Quintet, Op.14, [0, 6, 4, 2, 8, 5, 1, 9, 10, 11, 7, 3], pc set (0, 2, 3, 4, 6, 8)
  • Spinner, Leopold: Ricercata, Op.21, [0, 11, 8, 10, 2, 1, 4, 3, 7, 9, 6, 5], pc set (0, 1, 2, 3, 4, 6)
  • Spinner, Leopold: Sonata for Clarinet and Piano, Op.17, [0, 3, 4, 1, 2, 5, 11, 8, 7, 10, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  • Spinner, Leopold: Sonata for Piano, Op.3, [0, 9, 8, 6, 7, 10, 1, 4, 5, 3, 2, 11], pc set (0, 1, 2, 3, 4, 6)
  • Spinner, Leopold: Sonata for Violin and Piano, Op.1, [0, 7, 6, 1, 3, 8, 5, 10, 2, 9, 4, 11], pc set (0, 1, 2, 5, 7, 8)
  • Spinner, Leopold: Sonatina for Cello and Piano, Op.26, [0, 1, 11, 2, 4, 3, 9, 10, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Spinner, Leopold: Sonatina for Wind Instruments, Op.23, [0, 9, 1, 5, 4, 2, 8, 10, 11, 7, 3, 6], pc set (0, 1, 3, 4, 5, 8)
  • Spinner, Leopold: String Quartet, No.2, Op.7, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4, 5, 8, 9)
  • Spinner, Leopold: String Quartet, Op.2, [0, 1, 7, 6, 11, 10, 4, 5, 8, 9, 3, 2], pc set (0, 1, 2, 3, 6, 7)
  • Spinner, Leopold: Trio for Clarinet, Cello and Piano, [0, 1, 7, 6, 5, 11, 10, 3, 4, 2, 9, 8], pc set (0, 1, 2, 6, 7, 8)
  • Spinner, Leopold: Trio for Violin, Cello, and Piano, Op.6, [0, 1, 7, 4, 10, 9, 6, 5, 11, 8, 2, 3], pc set (0, 1, 3, 4, 6, 9)
  • Spinner, Leopold: Variations for Violin and Piano, Op.19, [0, 8, 9, 1, 2, 4, 3, 5, 6, 10, 11, 7], pc set (0, 1, 4, 5, 6, 8)
  • Spinner, Leopold: Zwei Lieder, Op.24, [0, 11, 1, 4, 3, 7, 5, 6, 9, 8, 10, 2], pc set (0, 1, 2, 4, 5, 8)
  • Steinbauer, Othmar: Violinsonate, No.1, Op.15, [0, 5, 2, 10, 7, 3, 11, 8, 4, 1, 6, 9], pc set (0, 2, 4, 5, 7, 9)
  • Stockhausen, Karlheinz: Choral, [0, 1, 10, 6, 8, 3, 5, 2, 4, 11, 9, 7], pc set (0, 2, 3, 5, 7, 9)
  • Stockhausen, Karlheinz: Gruppen, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Klavierstück IV row 3, [0, 7, 1, 10, 11, 9, 5, 8, 4, 3, 2, 6], pc set (0, 1, 2, 3, 4, 6)
  • Stockhausen, Karlheinz: Klavierstück IX, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Klavierstück VII, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Klavierstück X, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Kreuzspiel, [0, 10, 9, 11, 7, 2, 8, 1, 4, 6, 5, 3], pc set (0, 2, 3, 4, 5, 7)
  • Stockhausen, Karlheinz: Licht, Eve formula, [0, 4, 3, 2, 5, 6, 10, 11, 9, 1, 7, 8], pc set (0, 1, 2, 3, 4, 6)
  • Stockhausen, Karlheinz: Plus-Minus, [0, 1, 7, 9, 8, 6, 3, 10, 2, 5, 11, 4], pc set (0, 1, 2, 3, 6, 7)
  • Stockhausen, Karlheinz: Tierkreis, Aries, [0, 3, 2, 9, 7, 8, 11, 6, 1, 5, 4, 10], pc set (0, 1, 2, 5, 7, 8)
  • Stockhausen, Karlheinz: Tierkreis, Cancer, [0, 7, 11, 10, 9, 8, 3, 6, 4, 1, 5, 2], pc set (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Tierkreis, Sagittarius, [0, 6, 5, 2, 3, 4, 7, 8, 9, 10, 11, 1], pc set (0, 1, 2, 3, 4, 6)
  • Stockhausen, Karlheinz: Tierkreis, Scorpio, [0, 4, 3, 11, 7, 8, 10, 9, 2, 5, 1, 6], pc set (0, 1, 4, 5, 8, 9)
  • Stravinsky, Igor: A Sermon, a Narrative and a Prayer, [0, 1, 9, 11, 10, 7, 8, 3, 4, 6, 5, 2], pc set (0, 1, 2, 3, 4, 6)
  • Stravinsky, Igor: Agon, "Pas de deux", "Four trios", [0, 1, 4, 3, 2, 5, 6, 9, 8, 11, 10, 7], pc set (0, 1, 2, 3, 4, 5)
  • Stravinsky, Igor: Canticum Sacrum, II, [0, 11, 9, 6, 10, 8, 7, 5, 2, 4, 3, 1], pc set (0, 1, 2, 3, 4, 6)
  • Stravinsky, Igor: Canticum Sacrum, II & IV, [0, 11, 1, 3, 4, 2, 7, 6, 9, 5, 8, 10], pc set (0, 1, 2, 3, 4, 5)
  • Stravinsky, Igor: Elegy for J.F.K., [0, 6, 4, 2, 8, 9, 3, 1, 11, 10, 7, 5], pc set (0, 1, 3, 5, 7, 9)
  • Stravinsky, Igor: Fanfare for a New Theater, [0, 11, 1, 3, 4, 2, 5, 7, 6, 8, 10, 9], pc set (0, 1, 2, 3, 4, 5)
  • Stravinsky, Igor: Introitus "T. S. Eliot in Memoriam", [0, 5, 6, 4, 8, 9, 3, 2, 1, 10, 11, 7], pc set (0, 1, 2, 4, 5, 8)
  • Stravinsky, Igor: Movements, [0, 1, 7, 5, 6, 11, 9, 8, 10, 3, 4, 2], pc set (0, 1, 2, 6, 7, 8)
  • Stravinsky, Igor: Requiem Canticles, 1st series, [0, 2, 10, 11, 1, 8, 6, 7, 9, 4, 3, 5], pc set (0, 1, 2, 3, 4, 6)
  • Stravinsky, Igor: Variations "Aldous Huxley in Memoriam", [0, 10, 7, 9, 2, 8, 6, 11, 1, 5, 4, 3], pc set (0, 1, 2, 3, 5, 7)
  • Talma, Louise: Passacaglia and Fugue, [0, 4, 2, 9, 11, 7, 8, 3, 1, 6, 5, 10], pc set (0, 2, 4, 5, 7, 9)
  • Talma, Louise: Piano Sonata 2, mvt 4, first row, [0, 4, 8, 2, 5, 10, 1, 11, 6, 9, 7, 3], pc set (0, 1, 3, 5, 7, 9)
  • Talma, Louise: Six Etudes, Etude 1, [0, 3, 6, 8, 10, 2, 5, 7, 9, 1, 11, 4], pc set (0, 1, 3, 5, 7, 9)
  • Talma, Louise: Six Etudes, Etude 4, [0, 1, 5, 9, 4, 8, 7, 6, 11, 2, 10, 3], pc set (0, 1, 4, 5, 8, 9)
  • Talma, Louise: Six Etudes, Etude 5, [0, 4, 6, 11, 8, 3, 9, 1, 5, 7, 2, 10], pc set (0, 1, 3, 5, 8, 9)
  • Talma, Louise: Six Etudes, Etude 6, [0, 8, 6, 9, 4, 5, 2, 1, 3, 10, 7, 11], pc set (0, 1, 2, 4, 5, 8)
  • Talma, Louise: Three Bagatelles, Bagatelle 3, [0, 3, 4, 1, 5, 8, 10, 7, 2, 11, 6, 9], pc set (0, 1, 3, 4, 5, 8)
  • Toufektsis, Orestis: MIKRO-ALLAXI (EpiEnteka II), für 15 Musiker, [0, 8, 3, 7, 2, 4, 10, 11, 1, 6, 9, 5], pc set (0, 1, 4, 5, 6, 8)
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 1A, [0, 10, 9, 1, 4, 8, 7, 2, 5, 11, 3, 6], pc set (0, 1, 2, 4, 5, 8)
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 3, [0, 10, 8, 4, 3, 6, 5, 11, 9, 1, 2, 7], pc set (0, 1, 3, 5, 7, 9)
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 5, [0, 4, 3, 10, 6, 9, 1, 5, 2, 8, 11, 7], pc set (0, 1, 3, 6, 7, 9)
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 7, [0, 2, 11, 8, 5, 3, 10, 9, 1, 7, 6, 4], pc set (0, 1, 3, 4, 6, 9)
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 8, [0, 4, 3, 11, 6, 8, 2, 9, 10, 7, 1, 5], pc set (0, 1, 3, 5, 8, 9)
  • Tranchell, Peter: Septet : [for] 2 violins, oboe, clarinet, horn, bassoon, cello : fifth dodecafonia, [0, 2, 1, 10, 3, 4, 11, 6, 5, 9, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  • Tranchell, Peter: Twice a Kiss sketch 1, [0, 9, 1, 2, 4, 8, 5, 7, 10, 6, 3, 11], pc set (0, 1, 4, 5, 6, 8)
  • Tranchell, Peter: Twice a Kiss sketch 2, [0, 9, 1, 2, 4, 8, 3, 11, 5, 6, 7, 10], pc set (0, 1, 4, 5, 6, 8)
  • Tranchell, Peter: Twice a Kiss sketch 3, [0, 1, 2, 4, 8, 9, 7, 5, 3, 6, 10, 11], pc set (0, 1, 4, 5, 6, 8)
  • Urbanner, Erich: Adagio, [0, 3, 1, 11, 10, 9, 8, 7, 6, 4, 2, 5], pc set (0, 1, 2, 3, 4, 6)
  • Volkonsky, Andrei: Musica Stricta, mvt 2, row A, [0, 6, 8, 9, 11, 10, 1, 7, 2, 3, 5, 4], pc set (0, 1, 2, 3, 4, 6)
  • Volkonsky, Andrei: Musica Stricta, mvt 2, row D, [0, 4, 9, 2, 8, 10, 11, 1, 3, 7, 5, 6], pc set (0, 1, 2, 4, 6, 8)
  • Volkonsky, Andrei: Musica Stricta, mvt 4, row G, [0, 6, 5, 4, 3, 2, 1, 11, 9, 10, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  • Volkonsky, Andrei: Musica Stricta, mvt 4, row H, [0, 6, 4, 9, 8, 2, 7, 1, 11, 5, 10, 3], pc set (0, 1, 3, 5, 7, 9)
  • Wang, Jian-Zhong: Five Pieces for Piano no. 1, "Pastorale" (variant), [0, 3, 5, 7, 4, 2, 11, 9, 6, 8, 10, 1], pc set (0, 2, 3, 4, 5, 7)
  • Wang, Xi-Lin: A Dilapidated Tombstone, [0, 4, 6, 3, 2, 10, 11, 5, 8, 9, 7, 1], pc set (0, 2, 3, 4, 6, 8)
  • Weber, Ben: Fantasia (Variations), Op.25, [0, 1, 5, 9, 10, 2, 6, 11, 7, 4, 3, 8], pc set (0, 1, 3, 4, 5, 8)
  • Weber, Ben: Five Bagatelles for Piano, Op.2, mvt ii, [0, 1, 2, 9, 6, 7, 4, 8, 5, 11, 10, 3], pc set (0, 1, 2, 5, 7, 8)
  • Weber, Ben: Humoreske, Op.49, [0, 2, 4, 5, 7, 10, 1, 11, 9, 8, 6, 3], pc set (0, 2, 3, 5, 7, 9)
  • Webern, Anton: Op.32 (un-finished), initial sketch, [0, 1, 9, 11, 3, 2, 7, 6, 10, 8, 4, 5], pc set (0, 1, 2, 3, 4, 6)
  • Webern, Anton: Op.32 (un-finished), later sketch, [0, 1, 2, 11, 10, 9, 5, 4, 3, 6, 7, 8], pc set (0, 1, 2, 3, 4, 5)
  • Webern, Anton: 3 Lieder, "Erlösung", Op.18, No.2, [0, 3, 11, 2, 10, 1, 9, 5, 8, 4, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • Webern, Anton: 3 Volkstexte, "Heiland, Unsere Missetaten...", Op.17, No.3, [0, 9, 8, 7, 11, 10, 4, 5, 6, 3, 2, 1], pc set (0, 1, 2, 3, 4, 5)
  • Webern, Anton: 3 Volkstexte, "Liebste Jungfrau", Op.17, No.2, [0, 11, 10, 6, 7, 1, 2, 5, 4, 3, 8, 9], pc set (0, 1, 2, 3, 6, 7)
  • Webern, Anton: Cantata I, Op.29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5], pc set (0, 1, 2, 3, 4, 6)
  • Webern, Anton: Concerto for Nine Instruments (Konzert), Op.24, [0, 11, 3, 4, 8, 7, 9, 5, 6, 1, 2, 10], pc set (0, 1, 4, 5, 8, 9)
  • Webern, Anton: Klavierstück, [0, 1, 2, 11, 10, 4, 5, 6, 9, 8, 7, 3], pc set (0, 1, 2, 3, 4, 6)
  • Webern, Anton: Quartet for Violin, Clarinet, Tenor Sax, And Piano, Op.22, [0, 9, 8, 11, 10, 2, 3, 4, 5, 7, 1, 6], pc set (0, 1, 2, 3, 4, 6)
  • Webern, Anton: String Quartet, Op.28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], pc set (0, 1, 2, 3, 6, 7)
  • Webern, Anton: String Trio, Op.20, [0, 11, 6, 5, 10, 9, 1, 2, 7, 8, 4, 3], pc set (0, 1, 2, 3, 6, 7)
  • Webern, Anton: Symphony, Op.21, [0, 3, 2, 1, 5, 4, 10, 11, 7, 8, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  • Webern, Anton: Three Songs on Texts by Hildegard Jone, Op.25, [0, 9, 8, 11, 6, 10, 7, 4, 3, 5, 2, 1], pc set (0, 1, 2, 3, 4, 6)
  • Webern, Anton: Variations for Orchestra, Op.30, [0, 1, 4, 3, 2, 5, 6, 9, 8, 7, 10, 11], pc set (0, 1, 2, 3, 4, 5)
  • Webern, Anton: Variations for Piano, Op.27, [0, 8, 7, 11, 10, 9, 3, 1, 4, 2, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  • Westergaard, Peter: Mr. and Mrs. Discobbolos, [0, 2, 1, 4, 3, 5, 8, 6, 10, 7, 11, 9], pc set (0, 1, 2, 3, 4, 5)
  • Wilson, Olly: Piece for Four', [0, 8, 9, 4, 2, 6, 7, 11, 10, 3, 5, 1], pc set (0, 1, 3, 5, 7, 9)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.1 - Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], pc set (0, 1, 2, 6, 7, 8)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.2 - Study on Thirds, [0, 11, 9, 8, 10, 7, 6, 5, 3, 2, 4, 1], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-10-11-2-9-11-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 2-2-2-2-2-1-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 3-10-3-10-3-1-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 4-4-6-4-4-5-
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 9-4-9-4-9-7-
  • Wuorinen, Charles: Flute Variations II, [0, 1, 3, 2, 5, 4, 9, 10, 6, 8, 7, 11], pc set (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Piano Concerto, No.3, [0, 5, 2, 1, 11, 3, 10, 9, 4, 6, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  • Wuorinen, Charles: Reliquary for Igor Stravinsky, [0, 11, 7, 5, 6, 8, 2, 4, 9, 3, 1, 10], pc set (0, 1, 2, 3, 6, 7)
  • Wuorinen, Charles: Second Sonata, Source set, [0, 2, 10, 3, 5, 7, 6, 4, 1, 11, 9, 8], pc set (0, 2, 4, 5, 7, 9)
  • Wuorinen, Charles: Second Sonata, Voice 2, [0, 2, 10, 9, 11, 1, 6, 4, 7, 5, 3, 8], pc set (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Second Sonata, Voice 3, [0, 2, 4, 3, 5, 1, 9, 7, 11, 10, 8, 6], pc set (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Sonata for Piano, [0, 3, 2, 4, 5, 1, 11, 8, 9, 7, 6, 10], pc set (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Third Piano Sonata, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], pc set (0, 2, 4, 5, 7, 9)
  • Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 1, [0, 4, 2, 6, 5, 8, 7, 9, 3, 1, 10, 11], pc set (0, 2, 3, 4, 6, 8)
  • Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 2, [0, 11, 10, 4, 2, 1, 3, 6, 5, 9, 7, 8], pc set (0, 1, 2, 3, 4, 6)
  • Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 1, [0, 11, 1, 9, 10, 7, 5, 6, 8, 2, 3, 4], pc set (0, 1, 2, 3, 4, 6)
  • Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 2, [0, 4, 2, 8, 5, 6, 7, 9, 3, 11, 10, 1], pc set (0, 2, 3, 4, 6, 8)
  • Yun, Isang: Funf Stücke für Klavier, Stück 4, [0, 1, 7, 8, 11, 3, 4, 9, 5, 2, 6, 10], pc set (0, 1, 4, 5, 6, 8)
  • Yun, Isang: Funf Stücke für Klavier, Stück 5, [0, 11, 6, 3, 2, 10, 9, 1, 5, 4, 8, 7], pc set (0, 1, 2, 4, 5, 8)
  • Yun, Isang: Gasa, [0, 11, 7, 8, 6, 5, 2, 9, 10, 1, 3, 4], pc set (0, 1, 2, 3, 6, 7)
  • Yun, Isang: Riul für Klarinette und Klavier, [0, 5, 6, 9, 8, 4, 3, 7, 1, 2, 11, 10], pc set (0, 1, 2, 4, 5, 8)
  • Zappa, Frank: Brown Shoes Don't Make It, [0, 11, 3, 2, 9, 1, 7, 8, 4, 10, 5, 6], pc set (0, 1, 2, 3, 4, 6)
  • Zappa, Frank: Waltz, [0, 11, 3, 2, 9, 1, 7, 8, 4, 10, 5, 6], pc set (0, 1, 2, 3, 4, 6)
  • Zenk, Ludwig: An einen Springbrunnnen, Op.6, No.1, [0, 2, 3, 7, 6, 10, 9, 1, 5, 11, 4, 8], pc set (0, 1, 3, 5, 8, 9)
  • Zenk, Ludwig: Piano Sonata, Op.1, [0, 1, 8, 4, 6, 5, 2, 10, 9, 3, 11, 7], pc set (0, 1, 4, 5, 6, 8)
  • Zhou, Jin-Min: Piano Quintet, Scherzo, [0, 10, 5, 4, 6, 11, 7, 9, 2, 3, 1, 8], pc set (0, 1, 2, 6, 7, 8)
  • Zillig, Wilfried: Das Opfer, [0, 11, 3, 4, 8, 7, 10, 9, 1, 2, 6, 5], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 11-4-1-4-11-3-
  • Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], pc set (0, 2, 4, 6, 8, 10)
  • Zimmermann, Bernd Alois: 'Ich wandte mich um und sah alles Unrecht das geschah unter der Sonne', [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  • hauer, Josef Matthias: Zwölftonspiel für Oechester. 28. 9. 1954, [0, 5, 7, 4, 6, 1, 9, 3, 8, 11, 10, 2], pc set (0, 1, 2, 3, 6, 7)

Transposition Combinatorial

When two rows are combinatorial, the first hexachord of each complements the other meaning that they make up the total chromatic together. This list gives rows in this section that are combinatorial by transposition, i.e. combinatoriality holds between P0 and at least one transposition of P. The transposition(s) are given after the row. In this case, there is only one transposition-combinatorial hexachord, and only one interval, so they are all P0-P6

  • Carter, Elliott: Night Fantasies, [0, 10, 3, 11, 8, 7, 1, 2, 5, 9, 4, 6], P0-P6
  • Copland, Aaron: Inscape, ("Y form" or "Row 1"), [0, 4, 3, 11, 2, 7, 6, 8, 10, 9, 5, 1], P0-P6
  • Hauer, Josef Matthias: 'Atonale Musik'. Klavierstücke 1922., Op.20, [0, 7, 4, 9, 5, 8, 3, 11, 2, 6, 1, 10], P0-P6
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.134-137), [0, 2, 1, 4, 5, 9, 6, 8, 10, 7, 11, 3], P0-P6
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.457-458), [0, 3, 4, 5, 8, 1, 6, 11, 9, 10, 2, 7], P0-P6
  • Hauer, Josef Matthias: Romantische Phantasie für Orchester, [0, 10, 8, 5, 1, 9, 4, 11, 3, 7, 6, 2], P0-P6
  • Hauer, Josef Matthias: XXXII. Zwölftonspiel für Violine, zwei Bratschen und Cello (2/2), [0, 7, 4, 3, 11, 2, 5, 1, 10, 9, 6, 8], P0-P6
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 13. März 1952, [0, 5, 9, 10, 8, 1, 4, 3, 6, 7, 11, 2], P0-P6
  • Lackner, Peter: 'Hexentanz' für Violine und Klavier, [0, 3, 5, 7, 8, 4, 1, 10, 11, 2, 6, 9], P0-P6
  • Lackner, Peter: Kanon für Klavier. 26. Juni 1983, [0, 7, 5, 9, 4, 8, 6, 1, 11, 3, 10, 2], P0-P6
  • Lang, Bernhard: Monadologie XIII a; 'The Saucy Maid', [0, 1, 5, 2, 4, 9, 3, 10, 8, 11, 7, 6], P0-P6
  • Lutyens, Elisabeth: Islands, Op.80, [0, 11, 7, 3, 8, 10, 9, 6, 4, 5, 1, 2], P0-P6
  • Morris, Robert: Canonic Variations, [0, 3, 11, 1, 4, 8, 5, 6, 9, 10, 2, 7], P0-P6
  • Morris, Robert: Cuts, [0, 10, 11, 7, 3, 8, 6, 9, 4, 5, 1, 2], P0-P6
  • Morris, Robert: Knot Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], P0-P6
  • Morris, Robert: Not Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], P0-P6
  • Morris, Robert: Roundelay, row 4, [0, 3, 11, 10, 7, 2, 6, 9, 5, 4, 1, 8], P0-P6
  • Morris, Robert: Something New, [0, 9, 4, 8, 11, 7, 3, 6, 10, 5, 2, 1], P0-P6
  • Morris, Robert: Strange Flowers, Occasional Storms, [0, 1, 8, 3, 5, 4, 10, 6, 9, 7, 11, 2], P0-P6
  • Morris, Robert: …gradually…, [0, 1, 8, 3, 5, 4, 6, 7, 9, 11, 2, 10], P0-P6
  • Nono, Luigi: Intolleranza, Soprano 1, [0, 3, 4, 7, 8, 5, 6, 9, 10, 1, 2, 11], P0-P6
  • Preßl, Herrmann Markus: Fier Fafeln für Fier Fiolen, [0, 7, 8, 11, 9, 4, 6, 10, 1, 5, 3, 2], P0-P6
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 2, [0, 3, 7, 10, 2, 11, 6, 9, 1, 4, 8, 5], P0-P6
  • Slonimsky, Nicholas: No. 1296b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 5, 10, 9, 2, 1, 6, 11, 4, 3, 8, 7], P0-P6
  • Slonimsky, Nicholas: No. 1298b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 3, 8, 4, 7, 5, 6, 9, 2, 10, 1, 11], P0-P6
  • Slonimsky, Nicholas: No. 1300b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 3, 8, 4, 7, 5, 6, 9, 2, 10, 1, 11], P0-P6
  • Slonimsky, Nicholas: No. 1301 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 1, 4, 8, 3, 5, 11, 9, 2, 10, 7, 6], P0-P6
  • Slonimsky, Nicholas: No. 1302 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], P0-P6
  • Slonimsky, Nicholas: No. 1305 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Sixth-Chord), [0, 3, 8, 10, 11, 7, 1, 5, 4, 2, 9, 6], P0-P6
  • Slonimsky, Nicholas: No. 1306 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Triad), [0, 4, 7, 8, 3, 5, 11, 9, 2, 1, 10, 6], P0-P6
  • Slonimsky, Nicholas: No. 1307 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Sixth-Chord), [0, 4, 9, 8, 11, 1, 7, 5, 2, 3, 10, 6], P0-P6
  • Slonimsky, Nicholas: No. 1308 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Six-Four Chord), [0, 5, 8, 10, 9, 1, 7, 3, 4, 2, 11, 6], P0-P6
  • Slonimsky, Nicholas: No. 1309 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Major Six-Four Chord), [0, 5, 9, 8, 10, 1, 7, 4, 2, 3, 11, 6], P0-P6
  • Slonimsky, Nicholas: No. 1313 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 11, 2, 4, 3, 9, 10, 8, 5, 1, 6], P0-P6
  • Slonimsky, Nicholas: No. 410 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 7, 3, 11, 10, 6, 2, 1, 9, 5, 4], P0-P6
  • Slonimsky, Nicholas: No. 417 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 4, 3, 2, 7, 6, 5, 10, 9, 8, 1], P0-P6
  • Slonimsky, Nicholas: No. 420 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 7, 3, 2, 10, 6, 5, 1, 9, 8, 4], P0-P6
  • Slonimsky, Nicholas: No. 456 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 7, 3, 2, 10, 6, 5, 1, 9, 8, 4], P0-P6
  • Slonimsky, Nicholas: No. 466 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 7, 3, 11, 10, 6, 2, 1, 9, 5, 4], P0-P6
  • Slonimsky, Nicholas: No. 493 Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 2], P0-P6
  • Slonimsky, Nicholas: No. 500 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 4, 3, 2, 7, 6, 5, 10, 9, 8, 1], P0-P6
  • Slonimsky, Nicholas: No. 503 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 7, 3, 2, 10, 6, 5, 1, 9, 8, 4], P0-P6
  • Slonimsky, Nicholas: No. 746 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 1, 5, 9, 10, 2, 6, 7, 11, 3, 4, 8], P0-P6
  • Slonimsky, Nicholas: No. 795 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 8, 1, 9, 5, 10, 6, 2, 7, 3, 11, 4], P0-P6
  • Spinner, Leopold: Fünf Lieder, Op.8, [0, 3, 4, 7, 8, 5, 11, 9, 10, 2, 6, 1], P0-P6
  • Spinner, Leopold: Sonatina for Wind Instruments, Op.23, [0, 9, 1, 5, 4, 2, 8, 10, 11, 7, 3, 6], P0-P6
  • Talma, Louise: Three Bagatelles, Bagatelle 3, [0, 3, 4, 1, 5, 8, 10, 7, 2, 11, 6, 9], P0-P6
  • Weber, Ben: Fantasia (Variations), Op.25, [0, 1, 5, 9, 10, 2, 6, 11, 7, 4, 3, 8], P0-P6

Inversion Combinatorial

These rows are combinatorial by inversion. There are 13 such hexachords and some are combinatorial in more that one transposition, so the specific forms are given in the form P0-IX, or P0-IX,Y in the case of more than one match.

  • Argento, Dominick: A Water Bird Talk, Lecturer Row, [0, 9, 5, 10, 2, 6, 3, 11, 8, 4, 1, 7], P0-I1
  • Argento, Dominick: From the Diary of Virginia Woolf, [0, 7, 6, 2, 11, 5, 3, 1, 8, 9, 4, 10], P0-I3
  • Atterberg, Kurt: Symphony 9 [Bbm], Op.54, 'Sinfonia visionaria', [0, 1, 5, 6, 7, 4, 8, 11, 10, 9, 2, 3], P0-I3
  • Babbitt, Milton: The Crowded Air, [0, 8, 5, 7, 10, 6, 11, 1, 9, 3, 2, 4], P0-I9
  • Bach, Johann Sebastian: Chromatische Fantasie, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], P0-I7
  • Bartók, Béla: String Quartet, No.4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7], P0-I7
  • Bartók, Béla: Violin Concerto, No.2, mvt 1, [0, 2, 8, 1, 9, 4, 10, 6, 3, 7, 11, 5], P0-I7
  • Bartók, Béla: Violin Concerto, No.2, mvt 3, [0, 8, 2, 9, 1, 4, 10, 7, 6, 3, 11, 5], P0-I7
  • Beecroft, Norma: Improvvisazioni Concertanti, No.1, [0, 1, 11, 9, 3, 2, 7, 6, 10, 8, 4, 5], P0-I7
  • Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1], P0-I1,7
  • Berg, Alban: Lulu, Lulu (title character) row, [0, 2, 3, 5, 7, 9, 1, 10, 11, 4, 6, 8], P0-I1
  • Berg, Alban: Lulu, Schoolboy row, [0, 2, 6, 10, 4, 7, 8, 3, 5, 9, 11, 1], P0-I3
  • Berg, Alban: Lulu, permutation of main row, [0, 4, 2, 7, 9, 6, 8, 11, 3, 1, 5, 10], P0-I5
  • Berg, Alban: Lyric Suite, mvt III, [0, 11, 7, 1, 2, 9, 3, 8, 10, 4, 5, 6], P0-I5
  • Berger, Arthur: Chamber Music for Thirteen Players, [0, 1, 11, 7, 10, 9, 6, 5, 8, 4, 2, 3], P0-I3
  • Berio, Luciano: Chamber Music, [0, 9, 3, 5, 7, 10, 2, 11, 4, 6, 8, 1], P0-I11
  • Bischof, Rainer: 'Und so sink ich leise in mich selbst hinein'. Österreichischer Liederzyklus für Mezzosopran und Violine, Op.17, [0, 6, 5, 11, 4, 9, 3, 2, 8, 7, 1, 10], P0-I7
  • Boulez, Pierre: 2nd Piano Sonata, mvt II, Section 1, [0, 2, 1, 11, 3, 9, 8, 10, 7, 6, 5, 4], P0-I7
  • Boulez, Pierre: Le Soleil des eaux, series I, [0, 6, 10, 2, 5, 1, 7, 11, 3, 4, 8, 9], P0-I9
  • Boulez, Pierre: Le Soleil des eaux, series II, [0, 6, 10, 2, 5, 1, 4, 7, 11, 8, 3, 9], P0-I9
  • Boulez, Pierre: Le Soleil des eaux, series III, [0, 11, 7, 2, 6, 5, 4, 8, 10, 1, 3, 9], P0-I3
  • Boulez, Pierre: Pli selon pli, [0, 1, 8, 6, 7, 9, 4, 5, 11, 3, 2, 10], P0-I11
  • Boulez, Pierre: Structures Ia, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], P0-I1
  • Cage, John: Sonata for Clarinet, [0, 1, 10, 11, 9, 7, 6, 5, 4, 8, 3, 2], P0-I3
  • Cage, John: Sonata for Clarinet, mvt 2, [0, 11, 9, 10, 8, 6, 5, 4, 3, 7, 2, 1], P0-I1
  • Cage, John: Two pieces for Piano, [0, 11, 8, 3, 4, 2, 9, 7, 1, 5, 10, 6], P0-I9
  • Carlos, Juan: Canciones y Baladas, Balada II, [0, 4, 10, 6, 3, 8, 7, 2, 5, 9, 1, 11], P0-I5
  • Coltrane, John: Miles Mode, [0, 3, 5, 2, 7, 9, 10, 8, 1, 11, 6, 4], P0-I1
  • Cordero, Roque: Concerto for Violin, mvt 2A, [0, 11, 6, 4, 7, 8, 5, 9, 3, 10, 1, 2], P0-I9
  • Cordero, Roque: Soliloquios, [0, 1, 5, 11, 3, 2, 9, 8, 4, 10, 6, 7], P0-I9
  • Cordero, Roque: Violin Concerto mvt 1-3, [0, 11, 6, 4, 8, 7, 5, 1, 3, 2, 10, 9], P0-I9
  • Crosse, Gordon: Elegy for Small Orchestra, Op.1, [0, 11, 3, 1, 9, 10, 5, 6, 2, 4, 8, 7], P0-I5
  • Dallapiccola, Luigi: 'Intermezzo' from the 'Ciaccona' (of 'Ciaccona, intermezzo e adagio'), [0, 5, 6, 3, 8, 9, 7, 11, 10, 2, 1, 4], P0-I7
  • Dallapiccola, Luigi: Canti di Liberationi, No.2, [0, 5, 8, 3, 1, 9, 10, 4, 2, 11, 7, 6], P0-I7
  • Dallapiccola, Luigi: Canti di Liberazione, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], P0-I7
  • Dallapiccola, Luigi: Cinque canti, [0, 11, 5, 8, 6, 2, 7, 3, 1, 4, 10, 9], P0-I3,9
  • Dallapiccola, Luigi: Commiato, [0, 6, 5, 3, 9, 11, 10, 8, 7, 1, 2, 4], P0-I1,7
  • Dallapiccola, Luigi: Dialoghi, [0, 1, 10, 2, 6, 4, 5, 3, 7, 11, 8, 9], P0-I9
  • Dallapiccola, Luigi: Il Prigioniero, "Hope", [0, 1, 2, 3, 11, 5, 4, 10, 6, 7, 9, 8], P0-I9
  • Dallapiccola, Luigi: Il prigioniero, "Prayer", [0, 3, 6, 11, 9, 2, 1, 7, 8, 4, 5, 10], P0-I7
  • Dallapiccola, Luigi: Liriche greche c: Sex Carmina Alcaei, [0, 3, 5, 6, 2, 9, 8, 7, 4, 1, 10, 11], P0-I1
  • Dallapiccola, Luigi: Quaderno musicale di Annalibera, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], P0-I7
  • Dallapiccola, Luigi: Quattro liriche di Antonio Machado, i, iv, [0, 3, 5, 6, 8, 9, 11, 10, 7, 4, 2, 1], P0-I7
  • Dallapiccola, Luigi: Requiescant, [0, 2, 1, 3, 4, 6, 7, 9, 8, 10, 5, 11], P0-I11
  • Dallapiccola, Luigi: Requiescant (alternative view), [0, 2, 1, 7, 11, 8, 9, 6, 10, 4, 3, 5], P0-I5
  • Dallapiccola, Luigi: Tempus, 'Exhortatio', [0, 11, 9, 3, 5, 6, 4, 7, 8, 2, 1, 10], P0-I1,7
  • Dallapiccola, Luigi: Tempus, 'Ploratus', [0, 1, 7, 6, 10, 4, 3, 2, 5, 11, 9, 8], P0-I3,9
  • Dallapiccola, Luigi: Ulisse [opera], [0, 2, 1, 3, 9, 8, 11, 10, 4, 6, 5, 7], P0-I7
  • Dallapiccola, Luigi: Variazioni per orchestra, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], P0-I7
  • Davies, Peter Maxwell: Five Pieces for Piano, Op.2, No.2, [0, 7, 11, 1, 3, 5, 8, 6, 4, 9, 10, 2], P0-I9
  • Davies, Peter Maxwell: Sonata for Trumpet and Piano, Op.1, [0, 7, 6, 2, 11, 10, 8, 9, 1, 5, 3, 4], P0-I3
  • Denisov, Edison: Five Etudes for Solo Bassoon, row A, [0, 6, 1, 7, 8, 3, 2, 9, 10, 5, 11, 4], P0-I5
  • Denisov, Edison: Five Etudes for Solo Bassoon, row D, [0, 6, 1, 7, 8, 3, 2, 9, 10, 11, 5, 4], P0-I5
  • Denisov, Edison: Five Etudes for Solo Bassoon, row F, [0, 6, 1, 7, 3, 2, 8, 9, 10, 5, 11, 4], P0-I11
  • Dessau, Paul: >Guernica< for piano, [0, 7, 6, 2, 10, 11, 5, 9, 1, 3, 4, 8], P0-I3
  • Dessau, Paul: Les Voix, [0, 11, 6, 8, 9, 3, 4, 10, 5, 7, 2, 1], P0-I1
  • Eder, Helmut: Concerto for violin and orchestra, Op.32, [0, 9, 6, 2, 11, 3, 8, 1, 7, 5, 10, 4], P0-I7
  • Eisler, Hanns: Deutsche Symphonie, mvt 5, [0, 1, 3, 5, 8, 9, 6, 11, 10, 4, 2, 7], P0-I7
  • Eisler, Hanns: Deutsche Symphonie, mvt 9, [0, 4, 1, 10, 8, 6, 3, 11, 9, 2, 5, 7], P0-I3
  • Eisler, Hanns: Deutsche Symphonie, mvts 1, 10, [0, 10, 6, 1, 11, 7, 5, 8, 9, 3, 4, 2], P0-I3
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 4, [0, 10, 9, 8, 6, 7, 3, 4, 5, 11, 1, 2], P0-I11
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 5, [0, 2, 6, 4, 10, 9, 11, 1, 7, 5, 8, 3], P0-I5
  • Eisler, Hanns: Sonata for Piano, No.2 ("in Form von Variationen"), Op.6, row variant 1, [0, 4, 6, 3, 2, 1, 9, 10, 7, 8, 5, 11], P0-I11
  • Eisler, Hanns: Sonata for Piano, No.2 ("in Form von Variationen"), Op.6, row variant 2, [0, 4, 3, 2, 6, 1, 9, 10, 7, 8, 5, 11], P0-I11
  • Eisler, Hanns: Sonata for Piano, No.2 ("in Form von Variationen"), Op.6, row variant 5, [0, 3, 2, 4, 6, 1, 9, 10, 7, 8, 5, 11], P0-I11
  • Eisler, Hanns: String Quartet, [0, 9, 3, 2, 11, 1, 4, 5, 10, 7, 8, 6], P0-I7
  • Eisler, Hanns: Variations for Piano, [0, 3, 10, 6, 5, 8, 1, 11, 2, 4, 7, 9], P0-I7
  • Eisler, Hanns: Zwei Elegien, No.2 (An die Überlebenden), [0, 1, 4, 3, 2, 6, 8, 11, 10, 9, 5, 7], P0-I11
  • Evans, Bill: Twelve Tone Tune Two, [0, 9, 11, 1, 10, 3, 2, 6, 4, 5, 8, 7], P0-I5
  • Fano, Michel: Sonata for Two Pianos, [0, 6, 10, 7, 9, 8, 3, 2, 4, 1, 5, 11], P0-I11
  • Fine, Vivian: Four Songs, No.2, "Comfort To A Youth That Had Lost His Love", [0, 1, 2, 6, 9, 10, 11, 3, 5, 4, 7, 8], P0-I5
  • Finney, Ross Lee: Concerto for Alto Sax, [0, 1, 3, 4, 6, 9, 11, 10, 8, 7, 5, 2], P0-I11
  • Florey, Hans: Die Aussicht, [0, 9, 11, 8, 2, 10, 5, 6, 7, 4, 3, 1], P0-I3
  • Florey, Hans: Hexaeder für Klavier, [0, 9, 4, 8, 5, 10, 11, 3, 2, 6, 1, 7], P0-I11
  • Florey, Hans: Hälfte des Lebens, [0, 3, 4, 1, 7, 11, 6, 9, 10, 8, 2, 5], P0-I9
  • Florey, Hans: I Ging, [0, 7, 2, 10, 11, 6, 5, 1, 9, 8, 4, 3], P0-I3
  • Florey, Hans: Magischer Würfel mit 6 Spiegelpunkten, [0, 10, 1, 7, 4, 6, 5, 8, 3, 9, 2, 11], P0-I3,9
  • Florey, Hans: Sechs Kanonzyklen einunddesselben magischen Quadrates, [0, 10, 1, 7, 4, 6, 5, 8, 3, 9, 2, 11], P0-I3,9
  • Florey, Hans: Triptychon, [0, 8, 9, 3, 7, 2, 1, 10, 5, 6, 11, 4], P0-I1
  • Florey, Hans: Zwölftonspiel für Streichquartett. 3. Dezember 1965, [0, 10, 2, 5, 3, 4, 1, 8, 9, 6, 7, 11], P0-I11
  • Gerhard, Roberto: Capriccio for Solo Flute, [0, 11, 9, 3, 1, 10, 8, 6, 4, 7, 2, 5], P0-I5
  • Gerhard, Roberto: Hymnody, [0, 10, 11, 8, 2, 9, 4, 5, 1, 6, 7, 3], P0-I3
  • Gerhard, Roberto: String Quartet, [0, 7, 8, 2, 6, 10, 9, 11, 4, 5, 1, 3], P0-I11
  • Gerhard, Roberto: String Quartet, No.2, [0, 1, 5, 2, 8, 7, 10, 9, 6, 11, 4, 3], P0-I11
  • Gerhard, Roberto: Three Impromptus, [0, 8, 1, 10, 4, 6, 7, 5, 3, 2, 9, 11], P0-I3
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 3, [0, 5, 6, 11, 2, 1, 8, 7, 10, 4, 9, 3], P0-I9
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1], P0-I1
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 8, [0, 1, 7, 6, 8, 9, 3, 2, 4, 5, 11, 10], P0-I11
  • Ginastera, Alberto: Quintet, Op.29, Row Class III 1, [0, 11, 1, 8, 2, 7, 10, 3, 9, 4, 6, 5], P0-I5
  • Ginastera, Alberto: Quintet, Op.29, Row Class III 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], P0-I5
  • Ginastera, Alberto: Quintet, Op.29, Row Class VII 1, [0, 9, 10, 11, 4, 3, 6, 2, 1, 5, 8, 7], P0-I5
  • Ginastera, Alberto: Quintet, Op.29, Row Class VII 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], P0-I5
  • Ginastera, Alberto: Quintet, Op.29, mvt.III, [0, 7, 3, 10, 2, 6, 9, 1, 4, 8, 11, 5], P0-I11
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9], P0-I3,9
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], P0-I1
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 3, [0, 9, 3, 2, 11, 6, 5, 1, 8, 7, 4, 10], P0-I7
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 5, [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], P0-I9
  • Goehr, Alexander: Piano Trio, Op.20, [0, 6, 7, 4, 3, 8, 5, 9, 11, 2, 10, 1], P0-I5
  • Goeyvaerts, Karel: Violin concerto, No.2, [0, 11, 7, 1, 2, 9, 10, 8, 5, 6, 3, 4], P0-I5
  • Gotham, Mark: 4x4x4x4, row 3, [0, 2, 6, 10, 7, 4, 11, 9, 8, 3, 5, 1], P0-I3
  • Gotham, Mark: 4x4x4x4, row 4, [0, 2, 6, 10, 1, 4, 5, 3, 8, 9, 11, 7], P0-I9
  • Gotham, Mark: Move On!, [0, 4, 3, 10, 6, 9, 1, 5, 2, 8, 11, 7], P0-I5,11
  • Hamel, Peter Michael: 'Klangspirale' für 13 Spieler oder drei Orchestergruppen, [0, 10, 5, 9, 3, 4, 1, 6, 8, 11, 2, 7], P0-I11
  • Hauer, Jose Matthias: XXXII. Zwölftonspiel; für Violine, Bratsche und Cello, [0, 2, 6, 1, 10, 9, 5, 8, 11, 7, 4, 3], P0-I5
  • Hauer, Josef Matthias: 'Der Menschen Weg', Op.67, [0, 8, 5, 4, 10, 2, 7, 9, 1, 3, 11, 6], P0-I11
  • Hauer, Josef Matthias: 'Die schwarze Spinne', Op.62, [0, 4, 10, 1, 5, 8, 11, 2, 7, 9, 6, 3], P0-I7
  • Hauer, Josef Matthias: 'Emilie vor ihrem Brauttag' (Friedrich Hölderlin) für Altsolo und Orchester, Op.58, [0, 8, 3, 4, 11, 6, 9, 10, 2, 1, 5, 7], P0-I1
  • Hauer, Josef Matthias: 'Salambo', opera after Gustave Flaubert;, Op.60, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], P0-I1
  • Hauer, Josef Matthias: 'Tanz tibetanischer Mönche' im langsamen 3/4 Takt) [Zwölftonspiel]. 8. September 1956, [0, 7, 8, 6, 3, 1, 11, 2, 10, 5, 9, 4], P0-I5
  • Hauer, Josef Matthias: 'Wandlungen' (chamber-oratorio for stage or concert, for six solo-voices, choir and orchestra; after words of Friedrich Hölderlin), Op.53, [0, 5, 11, 4, 10, 1, 6, 8, 9, 3, 7, 2], P0-I7
  • Hauer, Josef Matthias: Baustein, [0, 8, 11, 1, 6, 10, 4, 2, 3, 5, 9, 7], P0-I3
  • Hauer, Josef Matthias: Fünfte Tanzfantasie für kleines Orchester, Opus 66, [0, 10, 4, 7, 8, 11, 6, 2, 5, 9, 3, 1], P0-I1
  • Hauer, Josef Matthias: Harmonie - Melodie - Rhythmus - in kristallischer Bindung - im vierfachen Kontrapunkt [Zwölftonspiel] für Zwölftonorchester, [0, 2, 10, 9, 6, 5, 1, 4, 7, 11, 8, 3], P0-I1
  • Hauer, Josef Matthias: Hausmusik [Zwölftonspiel] für zwei Violinen und Klavier, [0, 1, 5, 3, 7, 10, 9, 6, 11, 4, 2, 8], P0-I9
  • Hauer, Josef Matthias: Kammermusik [Zwölftonspiel] für Flöte, Oboe, Baßklarinette, Fagott, zwei Violinen, Bratsche, Cello und Klavier zu vier Händen. 24. Jänner 1957, [0, 9, 3, 7, 5, 10, 1, 6, 11, 4, 2, 8], P0-I11
  • Hauer, Josef Matthias: Klavierstücke mit Überschriften nach Worten von Friedrich Hölderlin, Op.25 ;, No.10, [0, 6, 11, 10, 9, 5, 2, 3, 7, 1, 4, 8], P0-I1
  • Hauer, Josef Matthias: Langsamer Walzer [Zwölftonspiel] für Orchester. 10. Jänner 1957, [0, 8, 10, 2, 3, 6, 1, 9, 7, 4, 11, 5], P0-I7
  • Hauer, Josef Matthias: Langsamer Walzer [Zwölftonspiel] für zwei Violinen, Bratsche, Cello und Klavier zu zwei Händen, [0, 6, 2, 11, 10, 7, 3, 4, 5, 9, 1, 8], P0-I3
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.106-108), [0, 10, 6, 1, 7, 4, 9, 5, 3, 8, 11, 2], P0-I3,9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.117-118), [0, 4, 5, 11, 7, 10, 3, 9, 6, 2, 1, 8], P0-I1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.119-120), [0, 10, 8, 6, 5, 7, 9, 2, 3, 1, 11, 4], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.123-124), [0, 8, 11, 5, 3, 7, 4, 9, 1, 6, 10, 2], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.125-126), [0, 11, 1, 10, 6, 8, 9, 5, 7, 3, 2, 4], P0-I3
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.138-140), [0, 3, 4, 2, 5, 6, 8, 7, 10, 11, 1, 9], P0-I1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.141-143), [0, 10, 11, 3, 5, 6, 7, 2, 1, 4, 8, 9], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.142-143), [0, 11, 10, 1, 5, 3, 8, 6, 9, 4, 7, 2], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.159-161), [0, 5, 1, 8, 10, 4, 6, 7, 3, 9, 11, 2], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.171-174), [0, 7, 1, 3, 9, 6, 8, 11, 10, 5, 4, 2], P0-I5,11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.175-178), [0, 10, 1, 2, 6, 5, 3, 4, 8, 9, 7, 11], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.192-193), [0, 9, 6, 2, 8, 4, 7, 10, 1, 3, 5, 11], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.196-197), [0, 2, 8, 6, 11, 5, 4, 10, 7, 3, 1, 9], P0-I3,9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.213-216), [0, 2, 6, 1, 10, 4, 5, 8, 11, 7, 3, 9], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.224-228), [0, 1, 9, 3, 4, 5, 10, 11, 6, 2, 8, 7], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.228-230), [0, 2, 9, 6, 5, 10, 7, 3, 8, 1, 4, 11], P0-I1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.231-233), [0, 6, 10, 3, 2, 8, 9, 5, 4, 1, 11, 7], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.234-237), [0, 11, 3, 1, 7, 4, 9, 6, 5, 10, 2, 8], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.241-243), [0, 2, 8, 1, 4, 9, 5, 6, 3, 11, 10, 7], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.257-262), [0, 7, 3, 8, 4, 2, 9, 1, 11, 6, 10, 5], P0-I1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.262-263), [0, 11, 2, 5, 1, 6, 9, 7, 10, 3, 4, 8], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.272-276), [0, 1, 5, 3, 7, 2, 8, 10, 4, 6, 11, 9], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.284-287), [0, 1, 11, 7, 6, 4, 10, 5, 2, 8, 3, 9], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.288-291), [0, 2, 10, 7, 4, 6, 11, 3, 5, 1, 8, 9], P0-I3
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.292-294), [0, 9, 2, 6, 3, 5, 10, 1, 11, 7, 4, 8], P0-I1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.325-328), [0, 5, 4, 2, 7, 6, 3, 11, 1, 8, 10, 9], P0-I3
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.328-332), [0, 3, 2, 7, 6, 10, 9, 11, 8, 5, 1, 4], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.366-371), [0, 5, 1, 7, 3, 2, 4, 8, 11, 6, 10, 9], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.372-375), [0, 8, 6, 1, 10, 11, 5, 9, 7, 4, 3, 2], P0-I3
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.387-390), [0, 3, 7, 4, 10, 1, 11, 9, 6, 8, 2, 5], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.403-409), [0, 11, 2, 10, 8, 1, 5, 3, 4, 6, 7, 9], P0-I5
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.422-425), [0, 6, 4, 2, 10, 9, 8, 5, 11, 7, 1, 3], P0-I5
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.425-427), [0, 8, 10, 7, 4, 2, 3, 5, 6, 11, 1, 9], P0-I1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.430-432), [0, 6, 8, 10, 9, 2, 7, 1, 3, 4, 5, 11], P0-I1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.438-441), [0, 1, 10, 8, 9, 4, 3, 5, 7, 11, 6, 2], P0-I3
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.441-445), [0, 1, 9, 8, 10, 4, 6, 5, 7, 2, 3, 11], P0-I3
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.451-453), [0, 2, 4, 1, 6, 11, 3, 8, 9, 7, 5, 10], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.452-455), [0, 5, 7, 8, 1, 2, 3, 4, 6, 11, 10, 9], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.463-464), [0, 4, 6, 7, 3, 9, 1, 10, 8, 11, 5, 2], P0-I5
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.479-483), [0, 6, 10, 9, 7, 8, 11, 4, 5, 3, 2, 1], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.494-496), [0, 7, 8, 5, 6, 11, 2, 3, 9, 4, 1, 10], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.50-53), [0, 2, 10, 4, 5, 3, 6, 7, 1, 8, 9, 11], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.501-503), [0, 5, 7, 1, 3, 2, 6, 10, 11, 8, 9, 4], P0-I11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.511-514), [0, 10, 1, 4, 6, 2, 9, 7, 11, 8, 5, 3], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.517-521), [0, 2, 10, 11, 6, 4, 5, 1, 3, 9, 8, 7], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.528-531), [0, 6, 7, 5, 8, 10, 9, 11, 4, 2, 1, 3], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.60-63), [0, 4, 1, 2, 9, 8, 10, 5, 11, 3, 6, 7], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.72-73), [0, 1, 7, 11, 4, 3, 9, 6, 5, 2, 10, 8], P0-I9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.73-78), [0, 8, 7, 2, 4, 11, 1, 3, 6, 5, 10, 9], P0-I5
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.84-87), [0, 10, 1, 11, 5, 3, 2, 6, 7, 8, 9, 4], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.93-94), [0, 1, 10, 8, 6, 2, 9, 4, 11, 7, 5, 3], P0-I5
  • Hauer, Josef Matthias: Nomos, Op.19 (row 1), [0, 8, 9, 5, 4, 6, 10, 11, 7, 1, 2, 3], P0-I7
  • Hauer, Josef Matthias: Nomos, Op.19 (row 2), [0, 6, 10, 4, 3, 2, 8, 7, 11, 9, 5, 1], P0-I11
  • Hauer, Josef Matthias: Paraphonie [Zwölftonspiel] für Bratsche und Klavier, [0, 4, 10, 5, 8, 1, 11, 7, 2, 9, 6, 3], P0-I7
  • Hauer, Josef Matthias: Sakraler Tanz [Zwölftonspiel] für Orchester, [0, 3, 10, 8, 5, 2, 9, 1, 11, 6, 4, 7], P0-I9
  • Hauer, Josef Matthias: Sechste Suite für Orchester, Op.47, [0, 9, 6, 2, 8, 3, 10, 11, 7, 4, 5, 1], P0-I1,7
  • Hauer, Josef Matthias: Symphonische Stücke für Streichorchester, Klavier und Harmonium, Op.49, [0, 4, 6, 3, 2, 8, 1, 11, 10, 7, 9, 5], P0-I1
  • Hauer, Josef Matthias: Tanz im langsamen 3/4 Takt [Zwölftonspiel] für zwei Violinen, zwei Bratschen und Klavier zu zwei Händen, [0, 3, 10, 2, 11, 6, 8, 7, 4, 9, 1, 5], P0-I7
  • Hauer, Josef Matthias: VIII. Zwölftonspiel für Orchester. Juni 1943, [0, 5, 10, 8, 4, 2, 11, 9, 3, 1, 7, 6], P0-I11
  • Hauer, Josef Matthias: Violinkonzert, Op.54 (9. März - 6. April 1928), [0, 7, 6, 8, 4, 11, 1, 10, 5, 9, 2, 3], P0-I9
  • Hauer, Josef Matthias: XXI. Zwölftonspiel für Orchester; mit einer Zwöfftonreihe, die in sechs Tropen steht, und vom Kulturreferenten der Stadt Wien Dr. Viktor Matejka gewählt wurde. Erster Teil 2,4-Takt (Halbe = 50) mit achttaktigen Perioden; zweiter Teil im 3/4 Takt (punktierte Halbe = 40) mit sechstaktigen Perioden, [0, 3, 4, 9, 11, 10, 1, 7, 6, 2, 5, 8], P0-I5
  • Hauer, Josef Matthias: XXII. Zwölftonspiel für Klavier, [0, 2, 11, 6, 7, 10, 1, 3, 8, 4, 9, 5], P0-I3
  • Hauer, Josef Matthias: XXIII. Zwölftonspiel für Klavierquintett, [0, 4, 11, 9, 10, 2, 6, 3, 7, 5, 8, 1], P0-I5
  • Hauer, Josef Matthias: XXIV. Zwölftonspiel für Klavier, [0, 2, 9, 3, 8, 1, 4, 7, 11, 5, 6, 10], P0-I7
  • Hauer, Josef Matthias: Zwölftonspiel (Weihnachten 1947) für Klarinette, Violine, Bratsche, Cello und Klavier, [0, 6, 2, 10, 8, 3, 11, 4, 9, 7, 5, 1], P0-I7
  • Hauer, Josef Matthias: Zwölftonspiel 10. Juli 1957; für Klavier zu vier Händen, [0, 8, 10, 6, 2, 11, 1, 3, 9, 4, 7, 5], P0-I3
  • Hauer, Josef Matthias: Zwölftonspiel 15. Juni 1957; für Flöte, Oboe, Bassklarinette, Fagott, zwei Violinen, Viola, Violoncello & Klavier vierhändig, [0, 6, 4, 8, 3, 11, 9, 2, 7, 1, 10, 5], P0-I1
  • Hauer, Josef Matthias: Zwölftonspiel 2. Juni 1948 für Streichquartett und Klavier, [0, 3, 10, 6, 2, 11, 1, 4, 7, 9, 5, 8], P0-I7
  • Hauer, Josef Matthias: Zwölftonspiel 26. Juli 1957, für Flöte, Oboe, Bassklarinette, Fagott und Streichquartett, [0, 4, 1, 6, 8, 2, 10, 7, 3, 9, 11, 5], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel 3. Mai 1958; für Streichsextett, [0, 4, 10, 3, 7, 1, 8, 2, 11, 6, 9, 5], P0-I9
  • Hauer, Josef Matthias: Zwölftonspiel 5. September 1957; für Violine, Bratsche und Klavier, [0, 4, 2, 9, 10, 6, 11, 1, 7, 3, 8, 5], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel 7. April 1957; für zwei Violinen, Bratsche, Cello und Klavier zu vier Händen, [0, 6, 2, 9, 10, 4, 11, 3, 7, 1, 5, 8], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel 9. September 1957; für vier Solostimmen [S, A, T, B], Violine, Bratsche und Klavier, [0, 4, 2, 9, 10, 6, 11, 1, 7, 3, 8, 5], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel Jänner 1957; für zwei Violinen, Bratsche und Cello, [0, 10, 6, 2, 8, 3, 5, 7, 9, 4, 1, 11], P0-I7
  • Hauer, Josef Matthias: Zwölftonspiel Oktober 1956; für Klavier zu vier Händen, [0, 9, 6, 2, 8, 3, 10, 5, 1, 11, 7, 4], P0-I1,7
  • Hauer, Josef Matthias: Zwölftonspiel für Flöte, Horn, Violine, Bratsche, Cello und Klavier, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Gitarre. 24. 7. 1949, [0, 6, 10, 2, 5, 9, 1, 4, 7, 3, 11, 8], P0-I1
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 11. Juni 1955, [0, 6, 11, 4, 2, 9, 3, 1, 5, 7, 10, 8], P0-I7
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 17. Juli 1952, [0, 6, 4, 9, 2, 10, 7, 11, 1, 8, 5, 3], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 2. Juni 1955, [0, 10, 2, 7, 3, 6, 4, 8, 1, 9, 11, 5], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 24. Dezember 1946, [0, 1, 2, 6, 10, 5, 11, 4, 3, 9, 7, 8], P0-I9
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. 7. Juni 1955, [0, 4, 10, 7, 11, 8, 3, 1, 5, 6, 2, 9], P0-I1
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. März 1953, [0, 6, 8, 7, 5, 10, 2, 3, 11, 4, 9, 1], P0-I9
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, Violine, Bratsche, Cello und Kontrabaß (melischer Entwurf vom 29.8.1954), [0, 4, 2, 7, 9, 6, 8, 3, 11, 5, 10, 1], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, mit einer Zwölftonreihe von Nikolaus Fheodoroff. 10. Juli 1952, [0, 10, 6, 8, 9, 7, 11, 3, 1, 5, 2, 4], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, mit einer Zwölftonreihe von Nikolaus Fheodoroff. 8. Juli 1952, [0, 2, 10, 6, 8, 7, 5, 9, 11, 3, 1, 4], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen, zwei Violinen, Bratsche und Cello. 19. Oktober 1954, [0, 6, 11, 2, 1, 5, 3, 8, 10, 7, 9, 4], P0-I9
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 24. Juni 1952, [0, 6, 10, 7, 9, 3, 4, 1, 8, 5, 11, 2], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 26. Juni 1952, [0, 6, 2, 10, 9, 5, 3, 4, 8, 7, 11, 1], P0-I1
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. 30. Juni 1952, I, [0, 2, 10, 4, 11, 8, 1, 7, 5, 3, 6, 9], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen. Mai 1955, [0, 6, 11, 4, 2, 9, 3, 1, 5, 7, 10, 8], P0-I7
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen und Akkordeon (Hausorchester), [0, 7, 2, 9, 6, 4, 11, 3, 10, 8, 1, 5], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu vier Händen und Streichquartett, [0, 7, 2, 10, 6, 8, 3, 11, 9, 4, 1, 5], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Oechester. 28. 9. 1954, [0, 8, 9, 6, 10, 4, 11, 1, 2, 5, 3, 7], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Orchester. September 1957, [0, 8, 6, 10, 5, 7, 2, 4, 1, 9, 11, 3], P0-I9
  • Hauer, Josef Matthias: Zwölftonspiel für Violine, Cello und Klavier zu vier Händen, [0, 10, 6, 1, 8, 3, 11, 7, 2, 5, 9, 4], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel für Violine und Klavier, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel für Violine und Klavier. 3. April 1955, [0, 2, 6, 4, 9, 10, 5, 3, 7, 8, 11, 1], P0-I5
  • Hauer, Josef Matthias: Zwölftonspiel für Orchester. 28. 9. 1954, [0, 5, 7, 4, 6, 1, 9, 3, 8, 11, 10, 2], P0-I3
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, Bratsche, Cello und Klavier. 16. April 1958, [0, 3, 8, 2, 9, 1, 11, 5, 7, 4, 6, 10], P0-I7
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, Bratsche und Cello ('Ins Räumliche übertragen'). 3. September 1953, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], P0-I11
  • Hauer, Josef Matthias: Zwölftonspiel in drei Teilen für zwei Violinen, Bratsche und Cello. 31. Juli 1953, [0, 10, 7, 2, 8, 6, 3, 4, 9, 11, 1, 5], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.10, [0, 4, 6, 7, 8, 10, 9, 5, 3, 2, 1, 11], P0-I9
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.11, [0, 4, 5, 6, 8, 9, 7, 3, 2, 1, 11, 10], P0-I7
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.12, [0, 3, 6, 7, 9, 10, 11, 8, 5, 4, 2, 1], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.14, [0, 2, 5, 7, 8, 10, 11, 9, 6, 4, 3, 1], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.15, [0, 1, 3, 6, 7, 9, 11, 10, 8, 5, 4, 2], P0-I5,11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.16, [0, 1, 3, 5, 7, 10, 9, 8, 6, 4, 2, 11], P0-I9
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.17, [0, 1, 3, 5, 8, 9, 7, 6, 4, 2, 11, 10], P0-I7
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.18, [0, 3, 4, 6, 9, 10, 11, 8, 7, 5, 2, 1], P0-I5,11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.2, [0, 1, 2, 3, 4, 10, 9, 8, 7, 6, 5, 11], P0-I9
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.20, [0, 1, 2, 5, 7, 8, 11, 10, 9, 6, 4, 3], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.21, [0, 1, 2, 5, 6, 10, 9, 8, 7, 4, 3, 11], P0-I9
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.22, [0, 1, 2, 4, 8, 9, 7, 6, 5, 3, 11, 10], P0-I7
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.23, [0, 3, 4, 5, 9, 10, 11, 8, 7, 6, 2, 1], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.24, [0, 3, 4, 7, 8, 10, 9, 6, 5, 2, 1, 11], P0-I9
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.25, [0, 3, 5, 6, 8, 9, 7, 4, 2, 1, 11, 10], P0-I7
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.26, [0, 3, 4, 6, 7, 8, 5, 2, 1, 11, 10, 9], P0-I5
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.27, [0, 2, 4, 5, 6, 7, 3, 1, 11, 10, 9, 8], P0-I3
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.29, [0, 1, 6, 7, 8, 9, 11, 10, 5, 4, 3, 2], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.3, [0, 2, 3, 4, 5, 10, 11, 9, 8, 7, 6, 1], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.31, [0, 1, 2, 3, 6, 7, 11, 10, 9, 8, 5, 4], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.32, [0, 1, 2, 3, 4, 6, 11, 10, 9, 8, 7, 5], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.4, [0, 2, 3, 4, 8, 10, 9, 7, 6, 5, 1, 11], P0-I9
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.5, [0, 2, 4, 5, 8, 10, 11, 9, 7, 6, 3, 1], P0-I11
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.7, [0, 2, 4, 6, 8, 9, 7, 5, 3, 1, 11, 10], P0-I7
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.8, [0, 2, 4, 6, 7, 8, 5, 3, 1, 11, 10, 9], P0-I5
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.9, [0, 4, 6, 8, 9, 10, 11, 7, 5, 3, 2, 1], P0-I11
  • Hendler, Maximilian: aus den fünf Liedern nach Texten von Elisabeth Pöschl : 'Sonnenaufgang' für Singstimme und Klavier, Op.44-1, [0, 11, 2, 1, 5, 6, 4, 3, 8, 7, 9, 10], P0-I9
  • Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 1, [0, 6, 5, 7, 8, 11, 9, 10, 3, 4, 2, 1], P0-I9
  • Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 3, [0, 3, 1, 2, 4, 10, 9, 11, 7, 8, 6, 5], P0-I9
  • Johnston, Ben: String Quartet, No.6, [0, 5, 10, 9, 3, 7, 11, 6, 1, 2, 8, 4], P0-I11
  • Kahn, Erich Itor: Bagatelle für Rene Leibowitz, [0, 1, 2, 4, 6, 3, 10, 11, 5, 7, 9, 8], P0-I11
  • Kalodiki, Georgia: Six Sketches for piano, [0, 7, 6, 1, 2, 9, 8, 3, 4, 11, 5, 10], P0-I5
  • Klein, Fritz Heinrich: Die Maschine. Eine extonale Selbstsatire von Heautontimorumenus., Op.1 (Das Maschinen-Thema), [0, 5, 7, 9, 3, 2, 11, 6, 8, 10, 4, 1], P0-I1
  • Klenau, Paul von: Elisabeth von England, [0, 2, 8, 11, 7, 1, 4, 10, 3, 6, 5, 9], P0-I5
  • Krenek, Ernst: Eight Piano Pieces, [0, 10, 1, 7, 6, 11, 5, 8, 3, 9, 2, 4], P0-I3
  • Krenek, Ernst: Karl V, King Francis Row, [0, 10, 5, 6, 11, 3, 9, 4, 2, 7, 1, 8], P0-I7
  • Krenek, Ernst: Kette, Kreis, und Spiegel (Circle, Chain and Mirror), Op.160, [0, 5, 6, 9, 8, 4, 10, 7, 11, 3, 1, 2], P0-I7
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 1, [0, 2, 4, 5, 8, 10, 6, 7, 9, 11, 1, 3], P0-I11
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 2, [0, 2, 3, 6, 8, 10, 5, 7, 9, 11, 1, 4], P0-I7
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 3, [0, 1, 4, 6, 8, 10, 5, 7, 9, 11, 2, 3], P0-I3
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 4, [0, 3, 5, 7, 9, 11, 6, 8, 10, 1, 2, 4], P0-I1
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 5, [0, 2, 4, 6, 8, 9, 5, 7, 10, 11, 1, 3], P0-I7
  • Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op.93, row 6, [0, 2, 4, 6, 7, 10, 5, 8, 9, 11, 1, 3], P0-I3
  • Krenek, Ernst: Sechs Vermessene, Op.168, [0, 3, 1, 6, 2, 4, 10, 5, 9, 7, 8, 11], P0-I11
  • Krenek, Ernst: Sestina, Op.161, [0, 8, 11, 10, 4, 6, 7, 1, 5, 3, 9, 2], P0-I1
  • Krenek, Ernst: Sonata, No.3, Op.92, No.4, [0, 10, 5, 8, 3, 2, 6, 7, 1, 9, 11, 4], P0-I9
  • Krenek, Ernst: Studies in Counterpoint, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], P0-I5
  • Krenek, Ernst: Studies in Counterpoint (i), [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], P0-I5
  • Krenek, Ernst: Studies in Counterpoint (ii), [0, 3, 10, 4, 9, 11, 8, 7, 5, 1, 2, 6], P0-I5
  • Krenek, Ernst: Suite, Op.84 for solo cello, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], P0-I5
  • Krenek, Ernst: Symeon, der Stylit, [0, 3, 10, 4, 9, 11, 8, 7, 5, 1, 2, 6], P0-I5
  • Krenek, Ernst: concert for organ and string-orchestra, Op.230, [0, 11, 8, 4, 3, 6, 7, 5, 2, 9, 10, 1], P0-I1
  • Kukuck, Felicitas: 'Wo bist Du Trost'; motet, [0, 11, 10, 7, 6, 1, 2, 5, 4, 3, 9, 8], P0-I3
  • Lackner, Peter: 'Davongeflogene Seelen' für Singstimme, Violoncello und Klavier, [0, 10, 4, 7, 6, 1, 9, 11, 5, 2, 3, 8], P0-I3,9
  • Lackner, Peter: 'Der Winter', [0, 6, 3, 5, 9, 11, 7, 1, 4, 2, 10, 8], P0-I1,7
  • Lackner, Peter: 'INKE TAN MAGROV' für Singstimme und Klavier, [0, 6, 5, 10, 8, 3, 7, 1, 2, 9, 11, 4], P0-I7
  • Lackner, Peter: 'Ständchen' für zwei Violinen und zwei Bratschen. 1913,2013, [0, 4, 2, 8, 11, 7, 10, 5, 9, 1, 3, 6], P0-I5
  • Lackner, Peter: 'Wo ist der Freund' (erstes Lied aus dem Zyklus 'Wilde Erdbeeren' für Singstimme und Klavier), [0, 3, 6, 2, 9, 11, 7, 4, 1, 5, 10, 8], P0-I7
  • Lackner, Peter: 1. Kanonzyklus, [0, 7, 5, 9, 1, 3, 11, 8, 4, 6, 10, 2], P0-I11
  • Lackner, Peter: 3. Kanonzyklus, [0, 6, 8, 10, 1, 3, 5, 11, 9, 7, 4, 2], P0-I5
  • Lackner, Peter: 4. Kanonzyklus, [0, 5, 3, 7, 11, 1, 9, 4, 6, 2, 10, 8], P0-I9
  • Lackner, Peter: 5. Kanonzyklus, [0, 7, 11, 9, 1, 3, 5, 8, 10, 6, 2, 4], P0-I5
  • Lackner, Peter: AGNI MEI (Kanon für Klavier. 5. Juni 2015), [0, 4, 10, 11, 1, 2, 8, 7, 3, 6, 9, 5], P0-I7
  • Lackner, Peter: Florianische Reihe, [0, 3, 9, 7, 4, 11, 5, 2, 8, 6, 1, 10], P0-I5
  • Lackner, Peter: INKE TAN MAGROV für Singstimme und Klavier (zweites Lied aus dem Zyklus 'Wilde Erdbeeren'), [0, 2, 9, 5, 8, 11, 3, 1, 6, 10, 7, 4], P0-I3
  • Lackner, Peter: Kanon-Polska für zwei Bratschen. 6. Juni 1993, [0, 6, 3, 1, 10, 8, 5, 11, 2, 4, 7, 9], P0-I5
  • Lackner, Peter: Kanon für B. L., 7. Oktober 2017, [0, 9, 10, 5, 3, 7, 11, 2, 1, 6, 8, 4], P0-I11
  • Lackner, Peter: Kanon für Cello und Klavier, [0, 2, 9, 10, 6, 5, 1, 11, 4, 3, 7, 8], P0-I1
  • Lackner, Peter: Kanon für Flöte, Akkordeon, zwei Violinen, Bratsche und Klavier, [0, 5, 3, 7, 11, 1, 9, 4, 6, 2, 10, 8], P0-I9
  • Lackner, Peter: Kanon für Hammerklavier. März 2016, [0, 2, 1, 5, 7, 3, 11, 9, 10, 6, 4, 8], P0-I11
  • Lackner, Peter: Kanon für Kammerorchester, [0, 9, 11, 6, 2, 4, 7, 10, 8, 1, 5, 3], P0-I7
  • Lackner, Peter: Kanon für Klavier, [0, 6, 8, 10, 1, 3, 5, 11, 9, 7, 4, 2], P0-I5
  • Lackner, Peter: Kanon für Klavier. 15. Juni 1992, [0, 10, 3, 8, 6, 5, 2, 1, 11, 4, 9, 7], P0-I7
  • Lackner, Peter: Kanon für Klavier. 21. Juni 1998, [0, 7, 6, 5, 1, 4, 3, 8, 9, 10, 2, 11], P0-I3
  • Lackner, Peter: Kanon für Klavier. 27. Juni, 26. September 2002, [0, 9, 4, 1, 2, 8, 7, 10, 3, 6, 5, 11], P0-I7
  • Lackner, Peter: Kanon für Klavier. 5. April 1989, [0, 2, 9, 10, 6, 5, 1, 11, 4, 3, 7, 8], P0-I1
  • Lackner, Peter: Kanon für Klavier. April 2000, [0, 5, 3, 7, 11, 1, 9, 4, 6, 2, 10, 8], P0-I9
  • Lackner, Peter: Kanon für Klavier zu vier Händen. 12. Juni 1996, [0, 4, 2, 8, 11, 10, 5, 1, 3, 9, 6, 7], P0-I5
  • Lackner, Peter: Kanon für Klavier zu vier Händen. Frühling 1984, [0, 1, 10, 7, 9, 4, 5, 11, 8, 6, 2, 3], P0-I3
  • Lackner, Peter: Kanon für Klavierquartett, [0, 8, 6, 11, 3, 9, 1, 5, 7, 2, 10, 4], P0-I1
  • Lackner, Peter: Kanon für Klavierquartett. 27. April 1991, [0, 6, 3, 5, 9, 11, 7, 1, 4, 2, 10, 8], P0-I1,7
  • Lackner, Peter: Kanon für Klavierquartett. 27. Juni 1991, [0, 2, 6, 9, 11, 3, 7, 5, 1, 10, 8, 4], P0-I7
  • Lackner, Peter: Kanon für Schwegelpfeife in A und Geige, [0, 9, 7, 2, 10, 4, 3, 6, 8, 1, 5, 11], P0-I3
  • Lackner, Peter: Kanon für Streichquartett, [0, 9, 3, 5, 1, 11, 7, 10, 4, 2, 6, 8], P0-I7
  • Lackner, Peter: Kanon für Streichquartett. 3. Jänner 1990, [0, 6, 4, 8, 11, 3, 1, 7, 9, 5, 2, 10], P0-I1
  • Lackner, Peter: Kanon für Streichquartett und Orgel. 21. November 1993, [0, 10, 2, 5, 4, 7, 1, 11, 3, 9, 8, 6], P0-I1
  • Lackner, Peter: Kanon für Tenor-Hackbrett. 19. März 2014, [0, 8, 4, 6, 9, 1, 11, 3, 7, 5, 2, 10], P0-I11
  • Lackner, Peter: Kanon für Violine, Bratsche und Klavier, [0, 4, 2, 8, 11, 7, 10, 5, 9, 1, 3, 6], P0-I5
  • Lackner, Peter: Kanon für Violine und Violoncello, [0, 2, 9, 10, 6, 5, 1, 11, 4, 3, 7, 8], P0-I1
  • Lackner, Peter: Kanon für acht Instrumente. Dezember 1991, März 2007, [0, 11, 3, 10, 6, 2, 7, 8, 4, 9, 1, 5], P0-I7
  • Lackner, Peter: Kanon für drei Bratschen, [0, 11, 3, 10, 6, 2, 7, 8, 4, 9, 1, 5], P0-I7
  • Lackner, Peter: Kanon für sechs Instrumente. 16. März 2009, [0, 7, 6, 3, 2, 10, 1, 8, 11, 5, 4, 9], P0-I11
  • Lackner, Peter: Kanon für sechs Posaunen. Herbst 1996, [0, 9, 1, 6, 4, 8, 11, 2, 10, 7, 5, 3], P0-I11
  • Lackner, Peter: Kanon für zwei Gitarren. September 2001, [0, 5, 3, 9, 11, 6, 7, 2, 4, 10, 8, 1], P0-I1,7
  • Lackner, Peter: Kanon für zwei Violinen und Klavier. Frühjahr 1984, [0, 1, 10, 7, 9, 4, 5, 11, 8, 6, 2, 3], P0-I3
  • Lackner, Peter: Kanon à 3, [0, 11, 6, 10, 2, 7, 3, 4, 9, 5, 1, 8], P0-I3
  • Lackner, Peter: Kanon à 4 - 'Für Harald Fripertinger zum 50. Geburtstag', [0, 10, 3, 6, 5, 8, 1, 11, 9, 4, 7, 2], P0-I7
  • Lackner, Peter: Kanon á 4, [0, 4, 2, 8, 11, 7, 10, 5, 9, 1, 3, 6], P0-I5
  • Lackner, Peter: Kanon á 5 für Klaus Chudoba, [0, 2, 10, 8, 6, 11, 3, 1, 5, 7, 9, 4], P0-I3
  • Lackner, Peter: Moebius-Band für Flöte, Violine, Violoncello und Klavier, [0, 3, 6, 2, 9, 11, 7, 4, 1, 5, 10, 8], P0-I7
  • Lackner, Peter: Moebius-Band für sechs Violinen, [0, 3, 6, 2, 9, 11, 7, 4, 1, 5, 10, 8], P0-I7
  • Lackner, Peter: Moebiusband für Violine und Klavier (Chinesenfolter I), [0, 2, 4, 6, 10, 5, 1, 11, 9, 7, 3, 8], P0-I1
  • Lackner, Peter: Reihenspiel für Orgel, [0, 9, 6, 11, 5, 4, 10, 7, 2, 1, 8, 3], P0-I7
  • Lackner, Peter: Salambo-Kanon (à 4); Bad Aussee, 2. Februar 2008, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], P0-I1
  • Lackner, Peter: Sponsions-Kanon, [0, 4, 1, 10, 3, 7, 9, 5, 8, 11, 6, 2], P0-I9
  • Lackner, Peter: TACET (drittes Lied aus dem Zyklus 'Wilde Erdbeeren'), [0, 2, 9, 5, 8, 11, 4, 7, 10, 6, 1, 3], P0-I3
  • Leibowitz, René: String Quartet, No.3, Op.26, [0, 8, 9, 7, 6, 1, 2, 5, 4, 10, 11, 3], P0-I11
  • Lewin, David: Just a Minute, Roger, [0, 11, 4, 5, 7, 3, 2, 6, 8, 1, 10, 9], P0-I1
  • Lu, Shi-Lin: A Family of Red-Crowned Cranes, [0, 2, 9, 7, 4, 6, 11, 8, 1, 3, 10, 5], P0-I5
  • Lu, Yen: A Bird Flying By, [0, 6, 3, 4, 8, 7, 11, 5, 10, 2, 9, 1], P0-I5
  • Luo, Zhong-Rong: Dusk, row 1, [0, 2, 7, 5, 10, 8, 6, 3, 1, 11, 9, 4], P0-I11
  • Luo, Zhong-Rong: Evening, [0, 2, 7, 5, 10, 8, 6, 3, 1, 11, 9, 4], P0-I11
  • Luo, Zhong-Rong: Sonatina, mvt 3, [0, 2, 7, 4, 11, 8, 5, 9, 10, 1, 3, 6], P0-I5
  • Luo, Zhong-Rong: String Quartet, No.2, [0, 3, 5, 10, 6, 8, 11, 1, 9, 2, 4, 7], P0-I7
  • Luo, Zhong-Rong: String Quartet, No.3, row 1, [0, 2, 4, 7, 5, 10, 8, 1, 6, 3, 9, 11], P0-I1
  • Luo, Zhong-Rong: String Quartet, No.3, row 3, [0, 2, 7, 9, 11, 1, 3, 6, 10, 4, 5, 8], P0-I5
  • Luo, Zhong-Rong: Three Piano Pieces, "Arabeque", row 1, [0, 2, 5, 10, 6, 1, 3, 8, 11, 9, 7, 4], P0-I9
  • Lutyens, Elisabeth: Five Little Pieces for Clarinet and Piano, [0, 8, 4, 1, 10, 2, 9, 3, 5, 6, 11, 7], P0-I7
  • Lutyens, Elisabeth: Présages, Op.53, [0, 1, 11, 2, 10, 8, 5, 3, 4, 7, 9, 6], P0-I5
  • Lutyens, Elisabeth: Quincunx, Op.44, [0, 6, 11, 1, 5, 2, 7, 3, 4, 9, 10, 8], P0-I9
  • Maderna, Bruno: Improvvisazione N. 1, [0, 11, 4, 8, 3, 2, 7, 6, 1, 5, 10, 9], P0-I9
  • Maderna, Bruno: Musica su due dimensioni, [0, 2, 9, 4, 6, 11, 8, 10, 1, 3, 5, 7], P0-I7
  • Martin, Frank: Petite complainte, [0, 11, 10, 6, 2, 4, 5, 9, 8, 7, 3, 1], P0-I7
  • Martino, Donald: Fantasy Variations, [0, 3, 1, 10, 2, 8, 11, 5, 6, 9, 7, 4], P0-I7
  • Matthias, Josef: Salambo, Op.60, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], P0-I1
  • Messiaen, Olivier: Mode de valeurs et d'intensités, Series 1, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], P0-I1
  • Morris, Robert: Entanglements, [0, 3, 10, 5, 11, 6, 1, 7, 9, 2, 8, 4], P0-I7
  • Morris, Robert: Exchanges, [0, 4, 3, 1, 9, 5, 8, 6, 2, 10, 11, 7], P0-I11
  • Morris, Robert: Pari Passu, row 1, [0, 6, 10, 11, 2, 3, 9, 1, 7, 8, 4, 5], P0-I7
  • Morris, Robert: Refrains, [0, 3, 4, 2, 6, 10, 1, 8, 11, 7, 5, 9], P0-I11
  • Morris, Robert: Roundelay, row 3, [0, 10, 9, 3, 4, 6, 8, 11, 2, 7, 1, 5], P0-I5,11
  • Morris, Robert: Terrane, [0, 11, 1, 3, 2, 5, 6, 4, 9, 7, 8, 10], P0-I9
  • Morris, Robert: Three Musicians, [0, 9, 7, 6, 8, 1, 11, 2, 4, 5, 3, 10], P0-I11
  • Morris, Robert: Tournament for 12 trombones, [0, 7, 6, 4, 11, 8, 5, 9, 1, 3, 2, 10], P0-I9
  • Nichols, Jeff: ...its darkening opposite, or Set Portrait in a Convex Mirror, [0, 4, 8, 7, 11, 2, 3, 6, 1, 9, 10, 5], P0-I5
  • Nono, Luigi: Incontri, [0, 2, 3, 8, 9, 6, 4, 5, 7, 11, 1, 10], P0-I1,7
  • Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5], P0-I5
  • Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], P0-I11
  • Nono, Luigi: La terra e la compagna (sketch), Series 5, [0, 7, 2, 4, 9, 10, 5, 1, 6, 11, 8, 3], P0-I3
  • Nono, Luigi: La terra e la compagna (sketch), Series 7, [0, 5, 3, 10, 7, 1, 8, 9, 2, 6, 11, 4], P0-I9
  • Nono, Luigi: La terra e la compagna (sketch), Series 8, [0, 4, 5, 11, 3, 6, 10, 2, 7, 9, 1, 8], P0-I1
  • Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7], P0-I7
  • Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], P0-I7
  • Papaioannou, Yannis: Songs of the Lake, No.1, [0, 8, 5, 7, 6, 11, 2, 10, 1, 3, 9, 4], P0-I9
  • Papaioannou, Yannis: Songs of the Lake, No.2, [0, 7, 4, 6, 5, 1, 9, 2, 8, 10, 3, 11], P0-I3
  • Papaioannou, Yannis: Songs of the Lake, No.4, [0, 5, 11, 9, 6, 10, 7, 2, 3, 1, 4, 8], P0-I1
  • Papaioannou, Yannis: Suite, "XP", [0, 4, 2, 1, 6, 8, 3, 9, 7, 10, 5, 11], P0-I11
  • Papaioannou, Yannis: Suite, "YP", [0, 10, 9, 8, 1, 4, 5, 7, 3, 6, 2, 11], P0-I3
  • Pentland, Barbara: String Quartet, No.3, [0, 11, 3, 6, 5, 9, 10, 8, 1, 2, 7, 4], P0-I1,7
  • Perle, George: First string quartet, [0, 1, 3, 6, 10, 9, 8, 7, 4, 5, 11, 2], P0-I5
  • Pousseur, Henri: Trois Chants Sacrés, [0, 10, 11, 4, 1, 5, 9, 6, 3, 7, 2, 8], P0-I7
  • Preßl, Hermann Markus: 'A 5' für Bassklarinette, Vibraphon und drei Bratschen, [0, 6, 5, 8, 10, 7, 3, 2, 4, 9, 1, 11], P0-I9
  • Preßl, Hermann Markus: Finstersonnen, [0, 3, 9, 6, 11, 5, 1, 2, 7, 8, 10, 4], P0-I1,7
  • Pärt, Arvo: Perpetuum Mobile, [0, 11, 10, 5, 6, 9, 7, 1, 2, 8, 3, 4], P0-I1
  • Pärt, Arvo: Symphony, No.1, [0, 1, 2, 7, 6, 3, 5, 11, 10, 4, 9, 8], P0-I11
  • Reynolds, Roger: Ambages, [0, 1, 4, 5, 7, 6, 8, 9, 10, 11, 2, 3], P0-I3
  • Rochberg, George: String Quartet, No.2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], P0-I9
  • Santoro, Claudio: Peças para Piano, [0, 11, 4, 5, 1, 9, 2, 3, 7, 8, 6, 10], P0-I7
  • Santoro, Claudio: Preludes 18-20, [0, 9, 1, 3, 2, 8, 10, 4, 6, 5, 7, 11], P0-I7
  • Santoro, Claudio: Six Piano Pieces, [0, 10, 4, 1, 11, 2, 5, 6, 3, 9, 7, 8], P0-I7
  • Schnittke, Alfred: Concerto Grosso, No.1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], P0-I5
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 7, [0, 3, 11, 9, 10, 1, 4, 2, 7, 8, 5, 6], P0-I5
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 1, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7], P0-I7
  • Schnittke, Alfred: Concerto Grosso, No.3, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7], P0-I7
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 1, [0, 3, 6, 10, 2, 11, 8, 5, 9, 1, 4, 7], P0-I7
  • Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], P0-I5
  • Schnittke, Alfred: Viola Concerto, [0, 11, 5, 2, 1, 6, 3, 8, 7, 4, 10, 9], P0-I9
  • Schnittke, Alfred: Violin Sonata 2, [0, 10, 11, 9, 6, 8, 7, 5, 4, 1, 2, 3], P0-I1
  • Schoenberg, Arnold: A Survivor From Warsaw, Op.46, [0, 1, 6, 2, 10, 9, 5, 4, 11, 3, 7, 8], P0-I5
  • Schoenberg, Arnold: A Survivor From Warsaw, Op.46 (alternative), [0, 1, 6, 2, 10, 9, 4, 7, 3, 8, 11, 5], P0-I5
  • Schoenberg, Arnold: Accompaniment to a Film Scene, Op.34, [0, 3, 11, 1, 10, 9, 6, 8, 7, 5, 2, 4], P0-I5
  • Schoenberg, Arnold: Fantasy for Piano Four Hands, II (fragment), [0, 3, 6, 1, 7, 8, 2, 5, 11, 4, 10, 9], P0-I5
  • Schoenberg, Arnold: Fantasy for Violin and Piano, Op.47, [0, 11, 3, 1, 7, 9, 5, 6, 2, 4, 10, 8], P0-I5
  • Schoenberg, Arnold: Five Piano Pieces, Op.23, No.5, [0, 8, 10, 6, 7, 5, 9, 1, 3, 2, 11, 4], P0-I9
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.1, Op.27, No.1, [0, 11, 8, 2, 1, 7, 9, 10, 4, 3, 5, 6], P0-I5
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.2, Op.27, No.2, [0, 11, 4, 10, 2, 8, 3, 7, 6, 5, 9, 1], P0-I5
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.4, Op.27, No.4, [0, 2, 9, 5, 7, 3, 10, 11, 1, 8, 4, 6], P0-I1
  • Schoenberg, Arnold: Moses und Aron, [0, 1, 7, 5, 6, 4, 10, 8, 9, 11, 2, 3], P0-I3
  • Schoenberg, Arnold: Piano Concerto, Op.42, [0, 7, 11, 2, 1, 9, 3, 5, 10, 6, 8, 4], P0-I5
  • Schoenberg, Arnold: Prelude To A Suite From "Genesis", Op.44, [0, 8, 4, 7, 6, 2, 1, 10, 3, 5, 11, 9], P0-I5
  • Schoenberg, Arnold: Serenade, mvt 5, "Tanzscene", Op.24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5], P0-I5,11
  • Schoenberg, Arnold: Six Pieces for Male Chorus, No.1, Op.35, [0, 9, 1, 3, 2, 11, 6, 8, 7, 4, 10, 5], P0-I7
  • Schoenberg, Arnold: Six Pieces for Male Chorus, No.2, Op.35, [0, 3, 1, 7, 6, 8, 11, 5, 4, 9, 10, 2], P0-I5
  • Schoenberg, Arnold: Six Pieces for Male Chorus, No.5, Op.35, [0, 6, 9, 1, 2, 10, 7, 3, 11, 5, 4, 8], P0-I5
  • Schoenberg, Arnold: Sonata For Organ, [0, 6, 10, 2, 8, 1, 7, 5, 9, 4, 11, 3], P0-I5
  • Schoenberg, Arnold: String Quartet, No.4, Op.37, [0, 11, 7, 8, 3, 1, 2, 10, 6, 5, 4, 9], P0-I5
  • Schoenberg, Arnold: String Trio, Op.45, [0, 8, 1, 7, 2, 11, 9, 6, 4, 5, 3, 10], P0-I5
  • Schoenberg, Arnold: Suite for Piano, Op.25, [0, 1, 3, 9, 2, 11, 4, 10, 7, 8, 5, 6], P0-I7
  • Schoenberg, Arnold: Three Satires for Mixed Chorus, No.3, Op.28, No.3, [0, 1, 11, 3, 9, 5, 2, 4, 10, 6, 8, 7], P0-I7
  • Schoenberg, Arnold: Three Songs, No.2, "Tot", Op.48, [0, 1, 7, 11, 8, 2, 6, 5, 10, 9, 3, 4], P0-I5
  • Schoenberg, Arnold: Three Times a Thousand Years, Op.50a, [0, 2, 11, 9, 10, 4, 3, 7, 5, 6, 8, 1], P0-I5
  • Schoenberg, Arnold: Two Piano Pieces, No.1, Op.33a, [0, 7, 2, 1, 11, 8, 3, 5, 9, 10, 4, 6], P0-I5
  • Schoenberg, Arnold: Two Piano Pieces, No.2, Op.33b, [0, 2, 6, 4, 10, 9, 7, 11, 8, 5, 1, 3], P0-I5
  • Schoenberg, Arnold: Variations for Orchestra, Op.31, [0, 6, 8, 5, 7, 11, 4, 3, 9, 10, 1, 2], P0-I9
  • Schoenberg, Arnold: Violin Concerto, Op.36, [0, 1, 6, 2, 7, 9, 3, 4, 10, 11, 5, 8], P0-I5
  • Schoenberg, Arnold: Violin Phantasy, Op.47, [0, 11, 3, 1, 7, 9, 6, 2, 10, 5, 8, 4], P0-I5
  • Schoenberg, Arnold: Von Heute Auf Morgen, Op.32, [0, 1, 7, 11, 9, 3, 6, 5, 2, 10, 8, 4], P0-I5
  • Schoenberg, Arnold: Wind Quintet, Op.26, [0, 4, 6, 8, 10, 9, 7, 11, 1, 3, 5, 2], P0-I11
  • Schuller, Gunther: Transformation, [0, 2, 4, 3, 8, 11, 9, 6, 5, 10, 7, 1], P0-I9
  • Schwantner, Joseph: Modus Caelestis (m. 39), [0, 6, 11, 10, 5, 9, 4, 8, 3, 2, 7, 1], P0-I1
  • Schwantner, Joseph: Wild Angels of the Open Hills, 2, "Angels of the Shadowed Ancient Land," m. 21, [0, 8, 9, 11, 3, 7, 6, 5, 2, 4, 10, 1], P0-I1
  • Searle, Humphrey: Toccata alla Passacaglia, Op.31, [0, 5, 6, 1, 10, 7, 9, 8, 3, 2, 4, 11], P0-I9
  • Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], P0-I3
  • Seiber, Mátyás: Sonata for Violin and Piano, [0, 1, 11, 10, 7, 6, 8, 9, 4, 3, 5, 2], P0-I3
  • Sengstschmid, Johann: Meditation für Orgel, Op.43a, [0, 6, 3, 1, 10, 8, 5, 2, 11, 9, 7, 4], P0-I5
  • Sessions, Roger: Piano Sonata, No.3, mvt 2, [0, 1, 5, 4, 8, 2, 11, 10, 6, 7, 3, 9], P0-I11
  • Sessions, Roger: When Lilacs Last in the Dooryard Bloom'd, [0, 2, 4, 10, 5, 8, 9, 1, 11, 7, 6, 3], P0-I11
  • Shapey, Ralph: String Quartet, No.9, [0, 8, 9, 3, 5, 1, 2, 6, 4, 10, 11, 7], P0-I7
  • Shostakovich, Dmitri: Symphony, No.14, mov. I, [0, 11, 9, 4, 3, 10, 8, 7, 5, 6, 1, 2], P0-I5
  • Slonimsky, Nicholas: No. 1217a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 11, 6, 1, 8, 4, 9, 2, 7], P0-I7
  • Slonimsky, Nicholas: No. 1224a Sixths (Twelve-Tone Patterns), [0, 9, 6, 3, 7, 10, 1, 4, 8, 5, 2, 11], P0-I11
  • Slonimsky, Nicholas: No. 1238a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 9, 7, 5, 3, 2, 4, 6, 8, 1, 10, 11], P0-I1
  • Slonimsky, Nicholas: No. 1241a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals), [0, 9, 6, 3, 11, 5, 2, 8, 7, 10, 1, 4], P0-I1,7
  • Slonimsky, Nicholas: No. 1252a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 5, 9, 2, 6, 8, 11, 4], P0-I9
  • Slonimsky, Nicholas: No. 1252b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 10, 6, 2, 11, 7, 4, 1, 9], P0-I7
  • Slonimsky, Nicholas: No. 1254a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 1], P0-I1
  • Slonimsky, Nicholas: No. 1254b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 1, 10, 6, 4, 11, 7, 5, 2, 9], P0-I5
  • Slonimsky, Nicholas: No. 1255a [Slonimsky: Moto Perpetuo] Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 6, 9, 2, 5, 8, 11, 3], P0-I3,9
  • Slonimsky, Nicholas: No. 1255b [Slonimsky: Moto Perpetuo] Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 2, 9, 6, 5, 1, 10, 7, 4, 11], P0-I1,7
  • Slonimsky, Nicholas: No. 1258a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 1, 5, 8, 11, 4], P0-I11
  • Slonimsky, Nicholas: No. 1258b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 11, 7, 2, 10, 6, 4, 1, 9], P0-I9
  • Slonimsky, Nicholas: No. 1259a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 2, 6, 9, 1, 5, 7, 10, 3], P0-I9
  • Slonimsky, Nicholas: No. 1259b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 2, 10, 7, 5, 1, 9, 6, 3, 11], P0-I1
  • Slonimsky, Nicholas: No. 1260a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 6, 9, 1, 5, 8, 11, 3], P0-I3
  • Slonimsky, Nicholas: No. 1260b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 2, 10, 6, 5, 1, 9, 7, 4, 11], P0-I7
  • Slonimsky, Nicholas: No. 1263a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 1, 4, 8, 11, 5], P0-I11
  • Slonimsky, Nicholas: No. 1263b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 11, 7, 6, 2, 9, 4, 1, 10], P0-I9
  • Slonimsky, Nicholas: No. 1265 Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11], P0-I11
  • Slonimsky, Nicholas: No. 1265a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11], P0-I11
  • Slonimsky, Nicholas: No. 1265b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 3, 1, 10, 6, 4, 11, 7, 5, 2, 8], P0-I5
  • Slonimsky, Nicholas: No. 1266a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], P0-I1
  • Slonimsky, Nicholas: No. 1266b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 3, 2, 11, 6, 5, 1, 8, 7, 4, 10], P0-I7
  • Slonimsky, Nicholas: No. 1267a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 4, 8, 11, 5, 6, 9, 2], P0-I9
  • Slonimsky, Nicholas: No. 1267b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 4, 1, 10, 7, 5, 2, 8, 6, 3, 11], P0-I3
  • Slonimsky, Nicholas: No. 1273a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 5, 9, 6, 2, 11, 8, 4], P0-I9
  • Slonimsky, Nicholas: No. 1273b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 5, 1, 2, 6, 9, 8, 4, 11], P0-I9
  • Slonimsky, Nicholas: No. 1275a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 5, 9, 6, 1, 11, 8, 3], P0-I1
  • Slonimsky, Nicholas: No. 1275b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 5, 2, 1, 6, 9, 8, 3, 11], P0-I1
  • Slonimsky, Nicholas: No. 1276a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 6, 9, 5, 2, 11, 8, 3], P0-I3,9
  • Slonimsky, Nicholas: No. 1276b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 6, 1, 2, 5, 9, 8, 3, 11], P0-I3,9
  • Slonimsky, Nicholas: No. 1279a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 5, 1, 11, 8, 4], P0-I11
  • Slonimsky, Nicholas: No. 1279b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 6, 2, 1, 5, 9, 8, 4, 11], P0-I11
  • Slonimsky, Nicholas: No. 1280a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 2, 6, 9, 5, 1, 10, 7, 3], P0-I9
  • Slonimsky, Nicholas: No. 1280b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 6, 2, 5, 9, 1, 10, 7, 3], P0-I9
  • Slonimsky, Nicholas: No. 1281a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 2, 6, 9, 5, 1, 11, 8, 3], P0-I3
  • Slonimsky, Nicholas: No. 1281b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 6, 2, 1, 5, 9, 8, 3, 11], P0-I3
  • Slonimsky, Nicholas: No. 1284a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 6, 9, 4, 1, 11, 8, 5], P0-I11
  • Slonimsky, Nicholas: No. 1284b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 6, 2, 1, 4, 9, 8, 5, 11], P0-I11
  • Slonimsky, Nicholas: No. 1286a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 4, 7, 2, 10, 8, 5, 11], P0-I11
  • Slonimsky, Nicholas: No. 1286b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 4, 1, 10, 2, 7, 8, 5, 11], P0-I11
  • Slonimsky, Nicholas: No. 1287a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 2, 5, 8, 4, 11, 10, 7, 1], P0-I1
  • Slonimsky, Nicholas: No. 1287b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 5, 2, 11, 4, 8, 7, 1, 10], P0-I1
  • Slonimsky, Nicholas: No. 1288a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 4, 8, 5, 11, 9, 6, 2], P0-I9
  • Slonimsky, Nicholas: No. 1288b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 4, 1, 11, 5, 8, 6, 2, 9], P0-I9
  • Slonimsky, Nicholas: No. 258 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 11, 10, 9, 4, 3, 2, 1, 8, 7, 6, 5], P0-I5
  • Slonimsky, Nicholas: No. 270 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 9, 7, 4, 2, 1, 11, 8, 6, 5, 3], P0-I3
  • Slonimsky, Nicholas: No. 277 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 7, 5, 4, 2, 11, 9, 8, 6, 3, 1], P0-I1
  • Slonimsky, Nicholas: No. 370 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], P0-I9
  • Slonimsky, Nicholas: No. 388 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 3, 9, 6, 4, 7, 1, 10, 8, 11, 5, 2], P0-I5
  • Slonimsky, Nicholas: No. 389 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 9, 3, 6, 4, 1, 7, 10, 8, 5, 11, 2], P0-I11
  • Slonimsky, Nicholas: No. 390 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 3, 9, 6, 4, 7, 1, 10, 8, 11, 5, 2], P0-I5
  • Slonimsky, Nicholas: No. 391 Miscellaneous Patterns [Diminished Seventh Chords] (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 9, 3, 6, 4, 1, 7, 10, 8, 5, 11, 2], P0-I11
  • Slonimsky, Nicholas: No. 638 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 9, 10, 4, 3, 1, 2, 8, 7, 5, 6], P0-I5
  • Slonimsky, Nicholas: No. 641 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 7, 6, 5, 4, 8, 9, 10, 11], P0-I11
  • Slonimsky, Nicholas: No. 643 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 6, 7, 8, 9, 10, 11, 5, 4, 3, 2, 1], P0-I11
  • Slonimsky, Nicholas: No. 644 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 6, 7, 8, 9, 10, 11, 5, 4, 3, 2, 1], P0-I11
  • Slonimsky, Nicholas: No. 692 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 3, 5, 8, 10, 11, 1, 4, 6, 7, 9], P0-I9
  • Slonimsky, Nicholas: No. 698 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 5, 7, 8, 10, 1, 3, 4, 6, 9, 11], P0-I11
  • Slonimsky, Nicholas: No. 736 Inter-Infra-Ultrapolation (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 2, 7, 9, 8, 10, 3, 5, 4, 6, 11, 1], P0-I1
  • Slonimsky, Nicholas: No. 813 Interpolation of Three Notes (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], P0-I5
  • Slonimsky, Nicholas: No. 909 Infra-Inter-Ultrapolation (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 9, 3, 6, 5, 2, 8, 11, 10, 7, 1, 4], P0-I1
  • Spinner, Leopold: Concert for Piano and Orchestra, Op.4, [0, 2, 1, 9, 11, 3, 4, 7, 5, 6, 10, 8], P0-I7
  • Spinner, Leopold: Ouverture for Orchestra, Op.5, [0, 11, 2, 10, 8, 1, 7, 5, 6, 9, 3, 4], P0-I5
  • Spinner, Leopold: Quintet, Op.14, [0, 6, 4, 2, 8, 5, 1, 9, 10, 11, 7, 3], P0-I3
  • Spinner, Leopold: Ricercata, Op.21, [0, 11, 8, 10, 2, 1, 4, 3, 7, 9, 6, 5], P0-I5
  • Spinner, Leopold: Sonata for Piano, Op.3, [0, 9, 8, 6, 7, 10, 1, 4, 5, 3, 2, 11], P0-I11
  • Spinner, Leopold: Sonata for Violin and Piano, Op.1, [0, 7, 6, 1, 3, 8, 5, 10, 2, 9, 4, 11], P0-I5
  • Spinner, Leopold: String Quartet, Op.2, [0, 1, 7, 6, 11, 10, 4, 5, 8, 9, 3, 2], P0-I3
  • Spinner, Leopold: Trio for Violin, Cello, and Piano, Op.6, [0, 1, 7, 4, 10, 9, 6, 5, 11, 8, 2, 3], P0-I3
  • Spinner, Leopold: Variations for Violin and Piano, Op.19, [0, 8, 9, 1, 2, 4, 3, 5, 6, 10, 11, 7], P0-I7
  • Spinner, Leopold: Zwei Lieder, Op.24, [0, 11, 1, 4, 3, 7, 5, 6, 9, 8, 10, 2], P0-I9
  • Stockhausen, Karlheinz: Choral, [0, 1, 10, 6, 8, 3, 5, 2, 4, 11, 9, 7], P0-I5
  • Stockhausen, Karlheinz: Klavierstück IV row 3, [0, 7, 1, 10, 11, 9, 5, 8, 4, 3, 2, 6], P0-I3
  • Stockhausen, Karlheinz: Licht, Eve formula, [0, 4, 3, 2, 5, 6, 10, 11, 9, 1, 7, 8], P0-I1
  • Stockhausen, Karlheinz: Plus-Minus, [0, 1, 7, 9, 8, 6, 3, 10, 2, 5, 11, 4], P0-I11
  • Stockhausen, Karlheinz: Tierkreis, Aries, [0, 3, 2, 9, 7, 8, 11, 6, 1, 5, 4, 10], P0-I1
  • Stockhausen, Karlheinz: Tierkreis, Sagittarius, [0, 6, 5, 2, 3, 4, 7, 8, 9, 10, 11, 1], P0-I1
  • Stravinsky, Igor: A Sermon, a Narrative and a Prayer, [0, 1, 9, 11, 10, 7, 8, 3, 4, 6, 5, 2], P0-I3
  • Stravinsky, Igor: Canticum Sacrum, II, [0, 11, 9, 6, 10, 8, 7, 5, 2, 4, 3, 1], P0-I1
  • Stravinsky, Igor: Elegy for J.F.K., [0, 6, 4, 2, 8, 9, 3, 1, 11, 10, 7, 5], P0-I7
  • Stravinsky, Igor: Introitus "T. S. Eliot in Memoriam", [0, 5, 6, 4, 8, 9, 3, 2, 1, 10, 11, 7], P0-I7
  • Stravinsky, Igor: Requiem Canticles, 1st series, [0, 2, 10, 11, 1, 8, 6, 7, 9, 4, 3, 5], P0-I5
  • Stravinsky, Igor: Variations "Aldous Huxley in Memoriam", [0, 10, 7, 9, 2, 8, 6, 11, 1, 5, 4, 3], P0-I1
  • Talma, Louise: Piano Sonata 2, mvt 4, first row, [0, 4, 8, 2, 5, 10, 1, 11, 6, 9, 7, 3], P0-I11
  • Talma, Louise: Six Etudes, Etude 1, [0, 3, 6, 8, 10, 2, 5, 7, 9, 1, 11, 4], P0-I7
  • Talma, Louise: Six Etudes, Etude 5, [0, 4, 6, 11, 8, 3, 9, 1, 5, 7, 2, 10], P0-I1
  • Talma, Louise: Six Etudes, Etude 6, [0, 8, 6, 9, 4, 5, 2, 1, 3, 10, 7, 11], P0-I7
  • Toufektsis, Orestis: MIKRO-ALLAXI (EpiEnteka II), für 15 Musiker, [0, 8, 3, 7, 2, 4, 10, 11, 1, 6, 9, 5], P0-I1
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 1A, [0, 10, 9, 1, 4, 8, 7, 2, 5, 11, 3, 6], P0-I3
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 3, [0, 10, 8, 4, 3, 6, 5, 11, 9, 1, 2, 7], P0-I5
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 5, [0, 4, 3, 10, 6, 9, 1, 5, 2, 8, 11, 7], P0-I5,11
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 7, [0, 2, 11, 8, 5, 3, 10, 9, 1, 7, 6, 4], P0-I9
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 8, [0, 4, 3, 11, 6, 8, 2, 9, 10, 7, 1, 5], P0-I1
  • Tranchell, Peter: Septet : [for] 2 violins, oboe, clarinet, horn, bassoon, cello : fifth dodecafonia, [0, 2, 1, 10, 3, 4, 11, 6, 5, 9, 8, 7], P0-I9
  • Tranchell, Peter: Twice a Kiss sketch 1, [0, 9, 1, 2, 4, 8, 5, 7, 10, 6, 3, 11], P0-I7
  • Tranchell, Peter: Twice a Kiss sketch 2, [0, 9, 1, 2, 4, 8, 3, 11, 5, 6, 7, 10], P0-I7
  • Tranchell, Peter: Twice a Kiss sketch 3, [0, 1, 2, 4, 8, 9, 7, 5, 3, 6, 10, 11], P0-I7
  • Urbanner, Erich: Adagio, [0, 3, 1, 11, 10, 9, 8, 7, 6, 4, 2, 5], P0-I5
  • Volkonsky, Andrei: Musica Stricta, mvt 2, row A, [0, 6, 8, 9, 11, 10, 1, 7, 2, 3, 5, 4], P0-I1
  • Volkonsky, Andrei: Musica Stricta, mvt 2, row D, [0, 4, 9, 2, 8, 10, 11, 1, 3, 7, 5, 6], P0-I3
  • Volkonsky, Andrei: Musica Stricta, mvt 4, row G, [0, 6, 5, 4, 3, 2, 1, 11, 9, 10, 8, 7], P0-I1
  • Volkonsky, Andrei: Musica Stricta, mvt 4, row H, [0, 6, 4, 9, 8, 2, 7, 1, 11, 5, 10, 3], P0-I7
  • Wang, Xi-Lin: A Dilapidated Tombstone, [0, 4, 6, 3, 2, 10, 11, 5, 8, 9, 7, 1], P0-I11
  • Weber, Ben: Five Bagatelles for Piano, Op.2, mvt ii, [0, 1, 2, 9, 6, 7, 4, 8, 5, 11, 10, 3], P0-I5
  • Weber, Ben: Humoreske, Op.49, [0, 2, 4, 5, 7, 10, 1, 11, 9, 8, 6, 3], P0-I1
  • Webern, Anton: Op.32 (un-finished), initial sketch, [0, 1, 9, 11, 3, 2, 7, 6, 10, 8, 4, 5], P0-I7
  • Webern, Anton: 3 Volkstexte, "Liebste Jungfrau", Op.17, No.2, [0, 11, 10, 6, 7, 1, 2, 5, 4, 3, 8, 9], P0-I3
  • Webern, Anton: Cantata I, Op.29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5], P0-I5
  • Webern, Anton: Klavierstück, [0, 1, 2, 11, 10, 4, 5, 6, 9, 8, 7, 3], P0-I7
  • Webern, Anton: Quartet for Violin, Clarinet, Tenor Sax, And Piano, Op.22, [0, 9, 8, 11, 10, 2, 3, 4, 5, 7, 1, 6], P0-I3
  • Webern, Anton: String Quartet, Op.28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], P0-I9
  • Webern, Anton: String Trio, Op.20, [0, 11, 6, 5, 10, 9, 1, 2, 7, 8, 4, 3], P0-I1
  • Webern, Anton: Three Songs on Texts by Hildegard Jone, Op.25, [0, 9, 8, 11, 6, 10, 7, 4, 3, 5, 2, 1], P0-I1
  • Wilson, Olly: Piece for Four', [0, 8, 9, 4, 2, 6, 7, 11, 10, 3, 5, 1], P0-I7
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7], P0-I7
  • Wuorinen, Charles: Piano Concerto, No.3, [0, 5, 2, 1, 11, 3, 10, 9, 4, 6, 8, 7], P0-I9
  • Wuorinen, Charles: Reliquary for Igor Stravinsky, [0, 11, 7, 5, 6, 8, 2, 4, 9, 3, 1, 10], P0-I9
  • Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 1, [0, 4, 2, 6, 5, 8, 7, 9, 3, 1, 10, 11], P0-I3
  • Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 2, [0, 11, 10, 4, 2, 1, 3, 6, 5, 9, 7, 8], P0-I7
  • Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 1, [0, 11, 1, 9, 10, 7, 5, 6, 8, 2, 3, 4], P0-I3
  • Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 2, [0, 4, 2, 8, 5, 6, 7, 9, 3, 11, 10, 1], P0-I3
  • Yun, Isang: Funf Stücke für Klavier, Stück 4, [0, 1, 7, 8, 11, 3, 4, 9, 5, 2, 6, 10], P0-I5
  • Yun, Isang: Funf Stücke für Klavier, Stück 5, [0, 11, 6, 3, 2, 10, 9, 1, 5, 4, 8, 7], P0-I7
  • Yun, Isang: Gasa, [0, 11, 7, 8, 6, 5, 2, 9, 10, 1, 3, 4], P0-I9
  • Yun, Isang: Riul für Klarinette und Klavier, [0, 5, 6, 9, 8, 4, 3, 7, 1, 2, 11, 10], P0-I7
  • Zappa, Frank: Brown Shoes Don't Make It, [0, 11, 3, 2, 9, 1, 7, 8, 4, 10, 5, 6], P0-I7
  • Zappa, Frank: Waltz, [0, 11, 3, 2, 9, 1, 7, 8, 4, 10, 5, 6], P0-I7
  • Zenk, Ludwig: An einen Springbrunnnen, Op.6, No.1, [0, 2, 3, 7, 6, 10, 9, 1, 5, 11, 4, 8], P0-I11
  • Zenk, Ludwig: Piano Sonata, Op.1, [0, 1, 8, 4, 6, 5, 2, 10, 9, 3, 11, 7], P0-I3
  • hauer, Josef Matthias: Zwölftonspiel für Oechester. 28. 9. 1954, [0, 5, 7, 4, 6, 1, 9, 3, 8, 11, 10, 2], P0-I3

Retrograde Inversion Combinatorial

These rows are combinatorial by retrograde inversion.

  • Argento, Dominick: Evensong: Of Love and Angels, [0, 11, 9, 8, 5, 3, 4, 1, 2, 7, 10, 6], P0-RI8
  • Bennett, Richard Rodney: Symphony, [0, 2, 9, 8, 3, 5, 6, 1, 7, 11, 10, 4], P0-RI5
  • Berg, Alban: Chamber Concerto, mvts 2, 3, [0, 11, 10, 4, 5, 9, 7, 1, 2, 6, 8, 3], P0-RI9
  • Berg, Alban: Lyric Suite, mvt I, m.7-9, [0, 3, 7, 8, 2, 1, 9, 6, 4, 11, 5, 10], P0-RI3
  • Carter, Elliott: String Quartet, No.3, [0, 11, 2, 9, 5, 3, 4, 8, 10, 7, 1, 6], P0-RI2
  • Copland, Aaron: Connotations, row 1, [0, 1, 3, 6, 2, 9, 8, 5, 10, 4, 11, 7], P0-RI3
  • Copland, Aaron: Connotations, row 2, [0, 7, 9, 6, 2, 3, 8, 11, 10, 4, 5, 1], P0-RI9
  • Copland, Aaron: Piano Fantasy, [0, 7, 2, 10, 8, 3, 6, 4, 11, 9, 1, 5], P0-RI10
  • Cordero, Roque: Concerto for Violin, mvt 2B, [0, 5, 3, 11, 6, 8, 7, 2, 1, 4, 9, 10], P0-RI11
  • Cordero, Roque: Sonata breve, [0, 1, 4, 11, 10, 7, 5, 8, 9, 6, 3, 2], P0-RI11
  • Dallapiccola, Luigi: Due studi, 'Fanfare', [0, 1, 7, 9, 10, 3, 4, 2, 8, 11, 6, 5], P0-RI10
  • Dallapiccola, Luigi: Preghiere, [0, 11, 2, 3, 8, 9, 7, 6, 1, 5, 4, 10], P0-RI11
  • Dallapiccola, Luigi: Quattro liriche di Antonio Machado, ii, [0, 1, 4, 6, 7, 9, 10, 11, 2, 3, 5, 8], P0-RI1
  • Dallapiccola, Luigi: Tre poemi, [0, 8, 9, 6, 3, 1, 2, 11, 7, 5, 4, 10], P0-RI9
  • David, Johann Nepomuk: Symphony, No.8, Op.59, [0, 5, 9, 2, 6, 11, 3, 4, 7, 8, 10, 1], P0-RI11
  • Denisov, Edison: Five Etudes for Solo Bassoon, row G, [0, 11, 5, 10, 4, 3, 9, 8, 2, 1, 6, 7], P0-RI3
  • Dobbins, Bill: Concerto for Jazz Orchestra, [0, 9, 7, 4, 3, 1, 10, 11, 8, 6, 5, 2], P0-RI4
  • Eisler, Hanns: >Spruch< for voice and piano, [0, 3, 11, 9, 5, 8, 4, 1, 2, 10, 7, 6], P0-RI8
  • Eisler, Hanns: An den Schlaf, [0, 8, 2, 10, 11, 5, 6, 1, 9, 3, 7, 4], P0-RI10
  • Eisler, Hanns: Chamber Symphony / Film music for "White Flood", row 1, [0, 1, 2, 3, 11, 7, 6, 5, 9, 8, 10, 4], P0-RI2
  • Eisler, Hanns: Chamber Symphony / Film music for "White Flood", row 2, [0, 8, 2, 10, 11, 5, 6, 1, 4, 9, 7, 3], P0-RI10
  • Eisler, Hanns: Deutsche Symphonie, mvt 4, [0, 10, 5, 6, 11, 7, 1, 4, 2, 8, 9, 3], P0-RI5
  • Eisler, Hanns: Deutsche Symphonie, mvt 7, [0, 11, 8, 5, 2, 1, 4, 3, 10, 7, 6, 9], P0-RI1
  • Eisler, Hanns: Deutsche Symphonie, mvts 2, 6, [0, 3, 11, 9, 5, 8, 4, 7, 6, 2, 1, 10], P0-RI8
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 1, [0, 6, 2, 3, 10, 9, 11, 5, 8, 7, 1, 4], P0-RI12
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 2, [0, 2, 3, 1, 11, 7, 5, 4, 8, 10, 9, 6], P0-RI2
  • Eisler, Hanns: Palmström, Op.5, No.4, [0, 11, 2, 8, 3, 9, 6, 7, 10, 1, 4, 5], P0-RI11
  • Eisler, Hanns: Sonata for Piano, No.2 ("in Form von Variationen"), Op.6, row variant 4, [0, 4, 3, 2, 9, 6, 10, 1, 7, 5, 8, 11], P0-RI6
  • Eröd, Ivan: Die Seidenraupen, [0, 4, 6, 3, 1, 10, 8, 11, 9, 5, 2, 7], P0-RI4
  • Florey, Hans: 'Die Blume der Blumen' für Gesang und Viola, [0, 3, 4, 8, 9, 6, 1, 7, 10, 11, 2, 5], P0-RI12
  • Florey, Hans: 'Fort, fort sind meine Rosen' für Gesang und Instrument, [0, 7, 6, 3, 5, 9, 2, 10, 8, 4, 1, 11], P0-RI12
  • Florey, Hans: Grabgesang, [0, 2, 8, 5, 10, 11, 4, 1, 6, 3, 9, 7], P0-RI10
  • Florey, Hans: Griechisch-lateinisches Quadrat der Ordnung 4 mit Fuge in Klangnotation, [0, 9, 3, 7, 4, 10, 2, 6, 1, 8, 11, 5], P0-RI7
  • Florey, Hans: Kleiner Doppelkanon, [0, 4, 6, 3, 8, 9, 7, 2, 1, 5, 11, 10], P0-RI12
  • Florey, Hans: Magisches Quadrat der Ordnung 3, [0, 4, 6, 3, 8, 9, 7, 2, 1, 5, 11, 10], P0-RI12
  • Frankel, Benjamin: The Curse of the Werewolf, [0, 3, 2, 1, 4, 8, 11, 5, 10, 7, 6, 9], P0-RI4
  • Gerhard, Roberto: Concerto for Harpsichord, String Orchestra, and Percussion, [0, 2, 8, 7, 11, 5, 1, 4, 3, 6, 9, 10], P0-RI7
  • Gerhard, Roberto: Gemini, [0, 11, 3, 1, 5, 4, 8, 6, 7, 2, 9, 10], P0-RI4
  • Gerhard, Roberto: Leo, [0, 2, 1, 6, 5, 7, 3, 8, 9, 10, 4, 11], P0-RI7
  • Gerhard, Roberto: Nonet, [0, 11, 1, 3, 5, 4, 10, 8, 2, 7, 9, 6], P0-RI4
  • Gerhard, Roberto: Symphony, No.2, [0, 8, 1, 7, 5, 6, 10, 11, 2, 3, 9, 4], P0-RI1
  • Ginastera, Alberto: Cantata para América Mágica, Op.27, [0, 7, 6, 5, 10, 11, 8, 1, 2, 9, 4, 3], P0-RI5
  • Ginastera, Alberto: Piano Concerto, No.1, Op.28, [0, 11, 5, 1, 8, 2, 7, 6, 10, 4, 9, 3], P0-RI1
  • Ginastera, Alberto: String Quartet, No.2, Op.26, [0, 5, 11, 2, 8, 1, 9, 10, 7, 4, 3, 6], P0-RI1
  • Goehr, Alexander: Little Symphony, Op.15, [0, 3, 7, 10, 6, 4, 5, 2, 9, 8, 11, 1], P0-RI10
  • Goehr, Alexander: Sonata in One Movement, Op.2, [0, 2, 7, 1, 4, 10, 6, 9, 11, 8, 5, 3], P0-RI2
  • Harrison, Lou: Suite for Piano, [0, 1, 6, 2, 5, 7, 11, 4, 9, 8, 10, 3], P0-RI7
  • Harrison, Lou: Untitled Piano Piece, [0, 10, 4, 3, 9, 7, 2, 8, 6, 1, 11, 5], P0-RI7
  • Hauer, Josef Matthias: 'Kaleidoskop' für Orchester, [0, 9, 6, 7, 3, 8, 2, 4, 11, 1, 5, 10], P0-RI3
  • Hauer, Josef Matthias: 'Musik für Schule und Haus II' 22. September 1956. für Violine, Bratsche und Klavier, [0, 7, 8, 1, 6, 5, 10, 2, 11, 9, 3, 4], P0-RI1
  • Hauer, Josef Matthias: Labyrinthischer Tanz [Zwölftonspiel] für Klavier zu vier Händen. 16. November 1952, [0, 3, 8, 7, 2, 10, 6, 1, 11, 9, 4, 5], P0-RI10
  • Hauer, Josef Matthias: Nomos, [0, 5, 7, 3, 9, 6, 11, 2, 8, 4, 1, 10], P0-RI12
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.1-36), [0, 5, 7, 3, 9, 6, 11, 2, 8, 4, 1, 10], P0-RI12
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.101-102), [0, 7, 4, 2, 1, 10, 9, 11, 8, 6, 3, 5], P0-RI2
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.129-130), [0, 9, 10, 4, 3, 7, 6, 2, 1, 8, 11, 5], P0-RI7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.131-132), [0, 9, 8, 2, 11, 3, 6, 5, 10, 7, 4, 1], P0-RI11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.133-134), [0, 8, 5, 11, 2, 7, 4, 6, 3, 1, 10, 9], P0-RI7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.141-142), [0, 5, 3, 4, 1, 11, 2, 6, 8, 9, 10, 7], P0-RI4
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.194-195), [0, 4, 2, 3, 6, 9, 5, 1, 8, 7, 11, 10], P0-RI6
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.198-201), [0, 8, 9, 11, 3, 5, 6, 1, 2, 7, 10, 4], P0-RI8
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.202-203), [0, 1, 3, 10, 7, 9, 2, 11, 4, 6, 8, 5], P0-RI10
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.208-212), [0, 9, 7, 2, 5, 1, 10, 6, 11, 4, 3, 8], P0-RI2
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.215-219), [0, 3, 8, 2, 6, 5, 4, 1, 10, 11, 9, 7], P0-RI8
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.255-257), [0, 7, 2, 6, 5, 10, 3, 4, 11, 8, 1, 9], P0-RI12
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.301-305), [0, 10, 2, 9, 8, 1, 5, 6, 11, 3, 7, 4], P0-RI10
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.337-338), [0, 1, 11, 5, 4, 3, 8, 9, 2, 10, 6, 7], P0-RI4
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.348-353), [0, 11, 9, 5, 10, 4, 6, 8, 3, 2, 1, 7], P0-RI9
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.395-402), [0, 2, 7, 10, 6, 5, 8, 9, 11, 3, 1, 4], P0-RI12
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.411-414), [0, 2, 8, 3, 5, 6, 7, 4, 9, 10, 1, 11], P0-RI8
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.467-471), [0, 5, 9, 1, 7, 2, 10, 4, 11, 8, 3, 6], P0-RI2
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.471-472), [0, 3, 11, 1, 6, 9, 2, 8, 5, 7, 10, 4], P0-RI12
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.473-474), [0, 6, 9, 1, 3, 11, 8, 4, 5, 7, 10, 2], P0-RI12
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.490-494), [0, 5, 11, 6, 9, 2, 8, 7, 10, 4, 1, 3], P0-RI11
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.496-498), [0, 10, 9, 4, 3, 7, 5, 8, 1, 2, 6, 11], P0-RI7
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.498-501), [0, 3, 1, 10, 7, 6, 2, 11, 8, 5, 4, 9], P0-RI1
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.525-527), [0, 10, 3, 9, 7, 1, 11, 2, 6, 4, 8, 5], P0-RI10
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.64-67), [0, 6, 9, 11, 8, 5, 4, 3, 1, 2, 7, 10], P0-RI5
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.82-83), [0, 2, 11, 8, 5, 10, 9, 1, 7, 3, 4, 6], P0-RI10
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.87-90), [0, 1, 11, 9, 8, 7, 10, 6, 4, 3, 5, 2], P0-RI8
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.91-92), [0, 4, 10, 1, 2, 7, 6, 8, 5, 9, 11, 3], P0-RI2
  • Hauer, Josef Matthias: Tanz [Zwölftonspiel] im langsamen 3/4 Takt für zwei Violinen, zwei Bratschen und Klavier zu zwei Händen, [0, 9, 3, 7, 4, 10, 2, 6, 1, 8, 11, 5], P0-RI7
  • Hauer, Josef Matthias: Tanz für Violine allein, [0, 7, 3, 4, 10, 9, 2, 8, 11, 1, 6, 5], P0-RI7
  • Hauer, Josef Matthias: Zwölftonmusik [Zwölftonspiel] für Klavier zu vier Händen. Februar 1959 (Fragment), [0, 9, 3, 7, 4, 10, 2, 6, 1, 8, 11, 5], P0-RI7
  • Hauer, Josef Matthias: Zwölftonmusik für Orchester, Op.86, [0, 2, 6, 3, 11, 8, 10, 9, 5, 7, 1, 4], P0-RI2
  • Hauer, Josef Matthias: Zwölftonspiel 15. Juni 1957; für Flöte, Oboe, Bassklarinette, Fagott, 2 Violinen, Viola, Violoncello & Klavier vierhändig, [0, 8, 11, 6, 9, 5, 7, 1, 3, 2, 4, 10], P0-RI5
  • Hauer, Josef Matthias: Zwölftonspiel 28. August 1948; für Violine und Klavier, [0, 9, 6, 2, 3, 10, 8, 5, 4, 7, 11, 1], P0-RI12
  • Hauer, Josef Matthias: Zwölftonspiel 31. August 1948; für Violine (Flöte) und Klavier, [0, 9, 6, 2, 3, 10, 8, 5, 4, 7, 11, 1], P0-RI12
  • Hauer, Josef Matthias: Zwölftonspiel 31. August 1948; für Violine und Klavier; 2. Fassung, [0, 9, 6, 2, 3, 10, 8, 5, 4, 7, 11, 1], P0-RI12
  • Hauer, Josef Matthias: Zwölftonspiel März 1958; für Kammerorchester, [0, 5, 10, 4, 1, 7, 2, 11, 8, 3, 6, 9], P0-RI5
  • Hauer, Josef Matthias: Zwölftonspiel November 1957; für zwei Violinen und Klavier, [0, 6, 3, 9, 1, 5, 11, 8, 10, 7, 2, 4], P0-RI6
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier. September 1956, [0, 8, 11, 6, 3, 5, 1, 10, 7, 4, 2, 9], P0-RI11
  • Hauer, Josef Matthias: Zwölftonspiel für Klavier zu zwei Händen. Neujahr 1947 (mit einer Zwölftonreihe von Ernst Hartmann), [0, 10, 6, 3, 7, 4, 9, 2, 8, 11, 1, 5], P0-RI10
  • Hauer, Josef Matthias: Zwölftonspiel für Orchester (August 1957), [0, 9, 4, 6, 11, 3, 2, 8, 5, 1, 7, 10], P0-RI3
  • Hauer, Josef Matthias: Zwölftonspiel für Streichquartett, [0, 3, 7, 2, 9, 6, 4, 10, 1, 8, 11, 5], P0-RI9
  • Hauer, Josef Matthias: Zwölftonspiel für Violine und Cembalo [Klavier]. 27. August 1948, [0, 9, 6, 2, 3, 10, 8, 5, 4, 7, 11, 1], P0-RI12
  • Hauer, Josef Matthias: Zwölftonspiel für Violine und Klavier. 2. September 1956, [0, 6, 8, 1, 10, 5, 9, 3, 11, 4, 7, 2], P0-RI6
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, Bratsche, Cello und Klavier, [0, 6, 9, 11, 4, 3, 7, 5, 2, 8, 10, 1], P0-RI3
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, Bratsche und Cello. Jänner 1948, [0, 1, 7, 2, 11, 3, 8, 5, 6, 4, 9, 10], P0-RI2
  • Hauer, Josef Matthias: [Zwölftonspiel] 'Johann Sebastian Bach hat das Wohltemperierte Klavier im Himmel vollendet ...', [0, 10, 5, 4, 2, 9, 8, 1, 3, 11, 6, 7], P0-RI2
  • Hendler, Maximilian: Vier Miniaturen für Klarinette, Op.51, [0, 3, 5, 11, 8, 6, 10, 2, 4, 1, 9, 7], P0-RI11
  • Husa, Karel: Hudba pro Prahu 1968, [0, 8, 2, 1, 7, 9, 6, 10, 3, 11, 5, 4], P0-RI9
  • Husa, Karel: Mosaïques, [0, 6, 4, 3, 2, 9, 10, 5, 7, 8, 11, 1], P0-RI6
  • Ives, Charles: String Quartet, No.2, mvt 2, [0, 1, 2, 11, 3, 7, 10, 4, 6, 8, 9, 5], P0-RI2
  • Kokkonen, Joonas: Symphonic Sketches, mov. 3, row "III/A", [0, 2, 1, 3, 8, 7, 5, 6, 4, 11, 9, 10], P0-RI3
  • Kurtág, György: The Sayings of Péter Bornemisza, Op.7, [0, 11, 7, 8, 9, 1, 2, 10, 3, 4, 5, 6], P0-RI8
  • Lackner, Peter: 'Lied des Harfenmädchens' für Frauenstimme und Klavier, [0, 3, 5, 11, 7, 10, 1, 8, 4, 9, 6, 2], P0-RI10
  • Lackner, Peter: 'Lied des Harfenmädchens II' für Flöte, Klarinette, Posaune, Violine, Cello und Klavier, [0, 3, 5, 11, 7, 10, 1, 8, 4, 9, 6, 2], P0-RI10
  • Lackner, Peter: 'So lebe wohl' für Singstimme und Klavier, [0, 2, 3, 8, 10, 7, 6, 5, 1, 11, 9, 4], P0-RI10
  • Lackner, Peter: Kanon 'kgV(3,5,7)', [0, 3, 10, 9, 6, 5, 2, 11, 4, 8, 1, 7], P0-RI3
  • Lackner, Peter: Kanon für Bläsersextett. Mai 1995,1996, [0, 9, 7, 3, 10, 1, 6, 8, 2, 11, 5, 4], P0-RI10
  • Lackner, Peter: Kanon für Schrammel-Quartett. November 2002, [0, 4, 6, 3, 11, 9, 1, 5, 8, 2, 10, 7], P0-RI3
  • Lackner, Peter: Kanon für Streichquartett. 18. Mai 1993, [0, 11, 4, 7, 1, 10, 5, 6, 2, 3, 9, 8], P0-RI11
  • Lackner, Peter: Kanon für Violine, Violoncello und Akkordeon (Harmonium). 25. Oktober 1995, [0, 2, 1, 7, 6, 5, 3, 4, 10, 9, 11, 8], P0-RI7
  • Lang, Bernhard: 'Küstenlinien'; für zwei Klaviere und doppeltes Schlagwerk, [0, 9, 7, 4, 5, 11, 2, 1, 8, 10, 3, 6], P0-RI4
  • Lutyens, Elisabeth: O Saisons, O Châteaux!, [0, 11, 10, 4, 8, 9, 3, 7, 6, 5, 2, 1], P0-RI8
  • Lutyens, Elisabeth: The Valley of Hatsu'se, [0, 6, 11, 10, 8, 7, 9, 1, 3, 2, 4, 5], P0-RI6
  • Lutyens, Elisabeth: Three Improvisations for Piano Solo, [0, 6, 9, 7, 8, 3, 4, 1, 10, 5, 11, 2], P0-RI3
  • Maderna, Bruno: Quartetto, [0, 7, 2, 3, 6, 9, 10, 1, 4, 5, 8, 11], P0-RI9
  • Maderna, Bruno: Streichquartett (Basisreihe 1), [0, 7, 2, 3, 6, 9, 10, 1, 4, 5, 8, 11], P0-RI9
  • Maderna, Bruno: Streichquartett (Basisreihe 2), [0, 7, 10, 1, 6, 3, 11, 4, 9, 2, 5, 8], P0-RI1
  • Mamlok, Ursula: Five Intermezzi for guitar solo, [0, 3, 6, 11, 2, 5, 1, 10, 7, 4, 8, 9], P0-RI5
  • Mamlok, Ursula: Variations for Solo Flute, theme, [0, 2, 1, 11, 7, 3, 5, 6, 4, 10, 8, 9], P0-RI2
  • Martino, Donald: Notturno (Row A), [0, 11, 10, 2, 6, 1, 5, 9, 4, 8, 3, 7], P0-RI12
  • Messiaen, Olivier: Mode de valeurs et d'intensités, Series 3, [0, 11, 6, 4, 3, 9, 5, 2, 8, 1, 7, 10], P0-RI3
  • Morris, Robert: 14 Little Piano Pieces, [0, 5, 1, 9, 10, 11, 2, 7, 3, 4, 6, 8], P0-RI10
  • Morris, Robert: Arabesque, [0, 6, 7, 1, 3, 10, 8, 9, 4, 5, 11, 2], P0-RI1
  • Morris, Robert: Arc, [0, 1, 8, 2, 4, 3, 11, 10, 6, 7, 5, 9], P0-RI4
  • Morris, Robert: Broken Consort in Three Parts, Row 3, [0, 11, 3, 9, 7, 6, 10, 5, 1, 2, 4, 8], P0-RI6
  • Morris, Robert: Brush, [0, 11, 6, 10, 7, 8, 3, 2, 5, 4, 9, 1], P0-RI6
  • Morris, Robert: Concerto for Piano and Winds, [0, 1, 4, 7, 8, 10, 11, 2, 5, 6, 9, 3], P0-RI8
  • Morris, Robert: Four Fold Heart Sutra, [0, 6, 7, 2, 11, 1, 10, 4, 9, 5, 8, 3], P0-RI1
  • Morris, Robert: Four Play Nine, [0, 3, 2, 1, 8, 7, 10, 5, 4, 11, 6, 9], P0-RI3
  • Morris, Robert: Four or Five Mirrors, [0, 11, 2, 3, 7, 1, 6, 5, 9, 8, 10, 4], P0-RI2
  • Morris, Robert: In Variations, [0, 2, 9, 11, 5, 3, 4, 6, 10, 8, 7, 1], P0-RI2
  • Morris, Robert: Inter Alia, [0, 1, 11, 5, 3, 4, 9, 10, 8, 2, 7, 6], P0-RI4
  • Morris, Robert: MA, [0, 1, 5, 6, 4, 11, 8, 7, 9, 2, 10, 3], P0-RI5
  • Morris, Robert: On the Go, [0, 9, 2, 3, 5, 8, 10, 11, 1, 4, 7, 6], P0-RI5
  • Morris, Robert: Out and Out, [0, 11, 6, 3, 7, 9, 5, 8, 1, 2, 10, 4], P0-RI6
  • Morris, Robert: Sung Song, [0, 3, 7, 6, 9, 2, 10, 5, 1, 8, 4, 11], P0-RI9
  • Morris, Robert: Zoe, [0, 8, 6, 3, 1, 9, 7, 10, 4, 2, 5, 11], P0-RI9
  • Musgrave, Thea: Triptych, Song 1, [0, 11, 9, 6, 5, 2, 10, 1, 8, 7, 3, 4], P0-RI11
  • Nierhaus, Gerhard: 'Polg' - für Orchester, [0, 3, 1, 7, 11, 2, 10, 4, 8, 5, 9, 6], P0-RI2
  • Nono, Luigi: Intolleranza, Soprano 2, [0, 1, 2, 7, 6, 11, 10, 5, 4, 9, 8, 3], P0-RI1
  • Nono, Luigi: La terra e la compagna (sketch), Series 4, [0, 2, 9, 5, 6, 8, 3, 11, 1, 10, 4, 7], P0-RI2
  • Papageorgiou, Dimitri: 'Jarra Jarra' for six block flutes, [0, 5, 3, 2, 6, 8, 7, 11, 1, 10, 9, 4], P0-RI8
  • Papaioannou, Yannis: Pygmalion, [0, 2, 7, 5, 8, 11, 9, 6, 10, 3, 1, 4], P0-RI7
  • Papaioannou, Yannis: Songs of the Lake, No.3, [0, 11, 8, 1, 6, 7, 2, 10, 3, 4, 9, 5], P0-RI7
  • Papaioannou, Yannis: Suite, Basic row, [0, 1, 3, 10, 4, 6, 9, 5, 2, 8, 7, 11], P0-RI4
  • Payne, Antony: Miniature Variations on a Theme of E.L., [0, 6, 11, 10, 8, 7, 9, 1, 3, 2, 4, 5], P0-RI6
  • Preßl, Hermann Markus: 'Sonnenuntergänge nach meinem Tode'; Fünf Haikus nach Günther Klinge für Sprechgesang, Alt-Saxophon und Crotales, [0, 4, 7, 9, 8, 2, 6, 10, 5, 11, 1, 3], P0-RI4
  • Preßl, Hermann Markus: 6. Symphonie aus Es, [0, 6, 1, 7, 5, 8, 9, 11, 3, 2, 4, 10], P0-RI1
  • Preßl, Hermann Markus: Ithaka, [0, 9, 7, 10, 6, 4, 2, 5, 8, 3, 1, 11], P0-RI4
  • Ruggles, Carl: Evocations II (Series X), [0, 1, 7, 2, 8, 9, 11, 10, 5, 6, 4, 3], P0-RI9
  • Santoro, Claudio: A Menina Boba, "A Menina Exausta", [0, 5, 10, 7, 3, 11, 1, 8, 2, 9, 6, 4], P0-RI10
  • Schiske, Karl: Symphony, No.4, [0, 8, 11, 3, 2, 6, 1, 9, 4, 5, 7, 10], P0-RI2
  • Schmid, Erich: Bagatellen for Piano, Op.14, [0, 1, 5, 2, 6, 7, 4, 8, 10, 3, 9, 11], P0-RI7
  • Schmid, Erich: Notturno, Op.10, mvt 1, [0, 4, 6, 3, 9, 8, 5, 11, 1, 2, 10, 7], P0-RI12
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 5, [0, 1, 7, 10, 4, 11, 5, 6, 9, 8, 2, 3], P0-RI11
  • Schnittke, Alfred: Improvisation and Fugue for piano, [0, 8, 11, 3, 9, 2, 5, 7, 6, 10, 1, 4], P0-RI11
  • Schnittke, Alfred: Serenade, [0, 1, 7, 3, 10, 9, 8, 6, 5, 11, 4, 2], P0-RI10
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 3, [0, 4, 7, 11, 2, 6, 9, 10, 1, 5, 8, 3], P0-RI6
  • Schnittke, Alfred: Sonata, No.1 for Violin and Piano, mvt 4, [0, 4, 7, 3, 6, 10, 9, 5, 1, 2, 8, 11], P0-RI10
  • Schoenberg, Arnold: Die Jakobsleiter, [0, 1, 4, 3, 7, 6, 11, 2, 10, 9, 5, 8], P0-RI7
  • Schreiner, Thomas: Stück für drei Violinen, [0, 2, 1, 7, 4, 10, 9, 6, 8, 5, 3, 11], P0-RI2
  • Sengstschmid, Johann: Scherzo für Blockflötenquartett, Op.28, [0, 7, 9, 4, 6, 1, 8, 2, 11, 5, 3, 10], P0-RI1
  • Slonimsky, Nicholas: No. 1243a Crossing Sixths (Crossing Intervals), [0, 1, 9, 4, 6, 7, 3, 10, 11, 2, 8, 5], P0-RI1
  • Slonimsky, Nicholas: No. 1249a Crossing Thirds (Crossing Intervals), [0, 11, 3, 8, 6, 5, 9, 2, 1, 10, 4, 7], P0-RI11
  • Slonimsky, Nicholas: No. 1251a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 6, 9, 2, 5, 8, 11, 4], P0-RI1
  • Slonimsky, Nicholas: No. 1251b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 5, 3, 11, 6, 2, 10, 7, 4, 1, 9], P0-RI11
  • Slonimsky, Nicholas: No. 1253a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 5, 8, 11, 3, 6, 9, 2], P0-RI5
  • Slonimsky, Nicholas: No. 1253b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 1, 9, 6, 4, 11, 7, 5, 2, 10], P0-RI9
  • Slonimsky, Nicholas: No. 1261a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 2, 5, 9, 1, 6, 7, 10, 3], P0-RI4
  • Slonimsky, Nicholas: No. 1261b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 1, 10, 7, 5, 2, 9, 6, 3, 11], P0-RI8
  • Slonimsky, Nicholas: No. 1262a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 3, 6, 11, 2, 8, 9, 1, 5], P0-RI10
  • Slonimsky, Nicholas: No. 1262b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 5, 3, 11, 8, 4, 1, 7, 6, 2, 10], P0-RI8
  • Slonimsky, Nicholas: No. 1264a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 5, 8, 11, 4, 7, 10, 2], P0-RI6
  • Slonimsky, Nicholas: No. 1264b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 3, 2, 10, 6, 5, 1, 8, 7, 4, 11], P0-RI12
  • Slonimsky, Nicholas: No. 1268a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 5, 8, 11, 2, 6, 9, 3], P0-RI5
  • Slonimsky, Nicholas: No. 1268b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 3, 1, 9, 6, 4, 10, 7, 5, 2, 11], P0-RI9
  • Slonimsky, Nicholas: No. 1272a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 1, 6, 9, 5, 2, 11, 8, 4], P0-RI1
  • Slonimsky, Nicholas: No. 1272b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 6, 1, 2, 5, 9, 8, 4, 11], P0-RI1
  • Slonimsky, Nicholas: No. 1274a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 5, 9, 6, 2, 11, 8, 3], P0-RI5
  • Slonimsky, Nicholas: No. 1274b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 5, 1, 2, 6, 9, 8, 3, 11], P0-RI5
  • Slonimsky, Nicholas: No. 1282a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 2, 5, 9, 6, 1, 10, 7, 3], P0-RI4
  • Slonimsky, Nicholas: No. 1282b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 5, 2, 6, 9, 1, 10, 7, 3], P0-RI4
  • Slonimsky, Nicholas: No. 1283a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 3, 6, 8, 2, 11, 9, 5, 1], P0-RI10
  • Slonimsky, Nicholas: No. 1283b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 6, 3, 11, 2, 8, 5, 1, 9], P0-RI10
  • Slonimsky, Nicholas: No. 1285a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 1, 5, 8, 4, 11, 10, 7, 2], P0-RI6
  • Slonimsky, Nicholas: No. 1285b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 6, 9, 5, 1, 11, 4, 8, 7, 2, 10], P0-RI6
  • Slonimsky, Nicholas: No. 1289a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 1, 5, 8, 2, 11, 9, 6, 3], P0-RI5
  • Slonimsky, Nicholas: No. 1289b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 7, 10, 5, 1, 11, 2, 8, 9, 6, 3], P0-RI5
  • Slonimsky, Nicholas: No. 262 Infrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 11, 10, 5, 4, 3, 2, 9, 8, 7, 6, 1], P0-RI3
  • Slonimsky, Nicholas: No. 348 Infra-Inter-Ultrapolation (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 10, 1, 7, 4, 2, 5, 11, 8, 6, 9, 3], P0-RI2
  • Slonimsky, Nicholas: No. 647 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 2, 11, 5, 8, 10, 7, 1, 4, 6, 3, 9], P0-RI10
  • Slonimsky, Nicholas: No. 685 Interpolation of Three Notes (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 1, 3, 6, 8, 9, 11, 2, 4, 5, 7, 10], P0-RI9
  • Slonimsky, Nicholas: No. 735 Inter-Infra-Ultrapolation (Quadritone Progression; Equal Division of Two Octaves into Three Parts), [0, 6, 9, 11, 8, 2, 5, 7, 4, 10, 1, 3], P0-RI8
  • Smith, Hale: Evocation, [0, 1, 7, 2, 9, 5, 8, 3, 10, 11, 4, 6], P0-RI2
  • Spinner, Leopold: Die Nacht, Op.29, [0, 4, 1, 2, 5, 6, 7, 10, 8, 9, 11, 3], P0-RI6
  • Spinner, Leopold: Drei Lieder, Op.15, [0, 2, 3, 9, 6, 10, 8, 4, 7, 5, 1, 11], P0-RI12
  • Spinner, Leopold: Lieder for Voice, Clarinet, Violin, and Cello, [0, 7, 6, 3, 11, 9, 2, 1, 4, 8, 10, 5], P0-RI6
  • Spinner, Leopold: Suite for Clarinet and Piano, Op.10, [0, 4, 1, 6, 5, 2, 8, 10, 7, 9, 11, 3], P0-RI6
  • Stockhausen, Karlheinz: 'Mantra', [0, 2, 11, 7, 8, 5, 10, 6, 4, 3, 1, 9], P0-RI7
  • Stockhausen, Karlheinz: Klavierstück IV, row 1, [0, 11, 4, 10, 9, 5, 8, 6, 2, 1, 7, 3], P0-RI9
  • Stockhausen, Karlheinz: Tierkreis, Aquarius, [0, 3, 5, 4, 11, 10, 9, 8, 7, 6, 2, 1], P0-RI3
  • Stockhausen, Karlheinz: Tierkreis, Leo, [0, 5, 11, 6, 3, 2, 8, 7, 9, 10, 4, 1], P0-RI5
  • Stravinsky, Igor: The Owl and the Pussy Cat, [0, 2, 9, 11, 8, 6, 5, 7, 10, 1, 4, 3], P0-RI8
  • Talma, Louise: Seven Episodes for flute, viola and piano, [0, 9, 11, 4, 6, 3, 8, 1, 10, 2, 5, 7], P0-RI3
  • Talma, Louise: Six Etudes, Etude 2, [0, 3, 9, 5, 11, 2, 8, 4, 10, 6, 1, 7], P0-RI2
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 4, [0, 7, 6, 1, 3, 4, 2, 11, 9, 5, 10, 8], P0-RI7
  • Tranchell, Peter: Piano piece for Carl Dawson (unfinished), 6, [0, 8, 3, 6, 4, 9, 10, 5, 7, 1, 11, 2], P0-RI12
  • Volkonsky, Andrei: Musica Stricta, mvt 2, row C, [0, 10, 11, 9, 4, 5, 7, 2, 1, 3, 6, 8], P0-RI9
  • Volkonsky, Andrei: Musica Stricta, mvt 3, row F, [0, 1, 9, 3, 5, 6, 7, 11, 10, 8, 4, 2], P0-RI6
  • Walker, George: Spatials, [0, 3, 9, 11, 2, 8, 7, 5, 4, 1, 10, 6], P0-RI11
  • Weber, Ben: Five Bagatelles for Piano, Op.2, mvt v, [0, 9, 1, 8, 2, 7, 3, 5, 6, 4, 11, 10], P0-RI9
  • Webern, Anton: 3 Lieder, "Ave, Regina Coelorum", Op.18, No.3, [0, 11, 3, 2, 1, 7, 6, 10, 9, 8, 5, 4], P0-RI2
  • Webern, Anton: 3 Volkstexte, "Armer Sunder, Du", Op.17, No.1, [0, 11, 6, 7, 4, 5, 8, 9, 10, 1, 2, 3], P0-RI11
  • Yi, Chen: Near Distance, [0, 1, 10, 3, 4, 6, 8, 9, 11, 5, 7, 2], P0-RI4
  • Yi, Chen: Symphony, No.2, [0, 6, 2, 3, 7, 9, 10, 4, 5, 11, 8, 1], P0-RI9
  • Yi, Chen: Woodwind Quintet, [0, 11, 1, 7, 9, 8, 10, 4, 6, 5, 2, 3], P0-RI8
  • Zenk, Ludwig: Abend in Lans, Op.3, No.2, [0, 1, 6, 4, 5, 2, 7, 8, 3, 10, 11, 9], P0-RI6
  • Zenk, Ludwig: Adagio for Orchestra, [0, 3, 11, 8, 6, 2, 7, 5, 9, 4, 1, 10], P0-RI2
  • Zenk, Ludwig: Piano Sonata, No.2, Op.4, [0, 11, 6, 8, 7, 10, 5, 4, 9, 2, 1, 3], P0-RI6

All-Combinatorial

Finally, rows are all-combinatorial when the combinatorial property holds for all transformations in at least one transposition. Notice how the whole-tone hexachord [0,2,4,6,8,10] (in any ordering) stands out for its highly combinatorial properties.

  • Apostel, Hans Erich: Fischerhaus-Serenade, Op.45, [0, 4, 8, 3, 11, 7, 1, 9, 5, 2, 10, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: All Set, [0, 4, 5, 11, 6, 10, 7, 3, 1, 2, 9, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: Arie da Capo, [0, 7, 8, 6, 2, 1, 10, 5, 11, 9, 4, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6], T6; I11; RI5, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], T6; I7; RI1, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Synthesizer, [0, 9, 1, 8, 4, 5, 7, 2, 3, 6, 10, 11], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Tenor and Six Instruments, [0, 11, 7, 5, 6, 1, 4, 3, 10, 8, 2, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: Composition for Twelve Instruments, [0, 1, 4, 9, 5, 8, 3, 10, 2, 11, 6, 7], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Composition for Viola and Piano, [0, 3, 4, 8, 11, 7, 9, 2, 1, 5, 10, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Du, row i, [0, 9, 2, 10, 11, 1, 7, 5, 4, 8, 3, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Du, row ii, [0, 5, 2, 10, 9, 7, 1, 3, 4, 8, 11, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Babbitt, Milton: Groupwise, [0, 5, 4, 6, 10, 11, 2, 9, 3, 1, 8, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: My Complements to Roger, [0, 3, 7, 8, 11, 4, 2, 6, 1, 9, 10, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: My Ends Are My Beginnings, [0, 11, 4, 8, 7, 3, 5, 6, 9, 2, 10, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Paraphrases, [0, 11, 3, 10, 8, 1, 7, 5, 4, 6, 2, 9], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Partitions, [0, 7, 9, 10, 2, 11, 5, 8, 4, 3, 1, 6], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Relata I, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Relata II, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: Semi-simple variations, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: String Quartet, No.2, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Babbitt, Milton: String Quartet, No.3, [0, 11, 6, 7, 5, 1, 10, 2, 9, 3, 4, 8], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: String Quartet, No.4, [0, 2, 9, 7, 11, 10, 1, 8, 4, 3, 5, 6], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Tableaux, [0, 11, 4, 6, 10, 5, 2, 1, 7, 9, 8, 3], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Babbitt, Milton: The Widow's Lament in Springtime, [0, 11, 9, 2, 10, 7, 1, 4, 8, 3, 5, 6], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Three Compositions for Piano, No.1, [0, 5, 7, 4, 2, 3, 9, 1, 8, 11, 10, 6], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Two Sonnets of Gerard Manley Hopkins, [0, 2, 3, 4, 7, 5, 11, 6, 10, 9, 8, 1], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Babbitt, Milton: Vision and Prayer, [0, 11, 8, 3, 7, 4, 10, 9, 2, 6, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Babbitt, Milton: Woodwind Quartet, [0, 3, 1, 2, 11, 10, 8, 9, 5, 7, 6, 4], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Baker, David: “Status Symbol” from "The Black Experience", [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Barber, Samuel: Piano Sonata, Op.26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Berg, Alban: Altenberg Lieder, [0, 1, 11, 10, 2, 9, 3, 8, 7, 6, 5, 4], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Berg, Alban: Lulu, Primary / Main / Basic Row, [0, 4, 5, 2, 7, 9, 6, 8, 11, 10, 3, 1], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Berg, Alban: Lulu, Schigolch, [0, 2, 3, 1, 4, 5, 6, 7, 8, 9, 11, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Berg, Alban: Lulu, whole-tone row, [0, 2, 4, 6, 10, 8, 11, 7, 9, 1, 3, 5], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Berg, Alban: Lyric Suite, Primary Row / mvt I, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Berg, Alban: Schliesse mir die Augen Beide, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Berio, Luciano: Cinque Variazioni, [0, 2, 4, 1, 3, 5, 8, 10, 6, 7, 9, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Berio, Luciano: Sequenza I, [0, 11, 10, 9, 8, 7, 4, 6, 5, 3, 1, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Boulez, Pierre: Notations, [0, 2, 7, 6, 1, 8, 4, 9, 5, 11, 10, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Britten, Benjamin: The Turn of the Screw, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Carter, Elliott: String Quartet, No.2 (sketch) 1, [0, 4, 8, 3, 7, 11, 6, 10, 2, 9, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Carter, Elliott: String Quartet, No.2 (sketch) 2, [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Carter, Elliott: String Quartet, No.2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row I, [0, 6, 1, 7, 2, 8, 3, 10, 5, 11, 9, 4], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Denisov, Edison: Octet for Winds, mvt 2, row A, [0, 1, 3, 2, 4, 5, 8, 7, 6, 11, 9, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Eisler, Hanns: Der Zweck der Musik, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Eisler, Hanns: Deutsche Symphonie, mvt 8, [0, 3, 1, 11, 2, 10, 8, 9, 6, 7, 5, 4], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Five Pieces for Orchestra, mvt 3, [0, 3, 2, 1, 5, 4, 6, 9, 8, 11, 10, 7], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Gegen den Krieg, Op.55, [0, 3, 2, 5, 4, 7, 6, 8, 9, 10, 1, 11], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Eisler, Hanns: Man lebt von einem Tage zu dem andern ("Kantate im Exil"), [0, 10, 11, 3, 1, 8, 7, 4, 2, 6, 9, 5], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Eisler, Hanns: Palmström, Op.5, No.5, [0, 10, 11, 9, 8, 1, 7, 6, 5, 3, 4, 2], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Praeludium und Fuge über B-A-C-H for String Trio, Op.46, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Eisler, Hanns: Suite for Orchestra, No.1, mvt 4, [0, 4, 2, 3, 1, 11, 7, 10, 9, 8, 6, 5], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Evans, Bill: Twelve Tone Tune, [0, 10, 2, 3, 1, 11, 4, 6, 9, 8, 5, 7], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Fine, Vivian: Chaconne for piano, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Finney, Ross Lee: Fantasy in Two Movements for solo violin, [0, 1, 3, 5, 4, 2, 11, 10, 8, 6, 7, 9], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Gerhard, Roberto: Chaconne for Unaccompanied Violin, [0, 11, 4, 2, 1, 3, 9, 10, 8, 6, 5, 7], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Gerhard, Roberto: Libra, [0, 6, 1, 7, 2, 8, 4, 9, 5, 10, 11, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Gerhard, Roberto: The Plague, [0, 1, 9, 11, 8, 10, 4, 5, 6, 2, 3, 7], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 1, [0, 1, 6, 7, 8, 2, 10, 11, 5, 4, 9, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 2, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 5, [0, 1, 7, 6, 5, 11, 2, 8, 9, 10, 4, 3], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Don Rodrigo, Op.31, Row Class 7, [0, 1, 8, 2, 7, 6, 5, 11, 9, 10, 4, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Quintet, Op.29, Row Class V, [0, 5, 4, 7, 3, 2, 6, 9, 8, 1, 10, 11], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Ginastera, Alberto: Quintet, Op.29, Row Class VII S, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Sonata for Cello and Piano, Op.49, [0, 3, 2, 1, 10, 11, 8, 9, 5, 4, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class III, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 1, [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Ginastera, Alberto: Sonata for Guitar, Op.47, mvts II and III, Row Class II 7, [0, 9, 10, 11, 8, 7, 6, 3, 4, 5, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Ginastera, Alberto: Turbae ad Passionem Gregorianam, Op.43, mvt II, [0, 5, 1, 7, 6, 11, 8, 2, 3, 4, 9, 10], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Ginastera, Alberto: Violin Concerto, Op.30, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Hartmann, Karl Amadeus: Symphony, No.4, [0, 1, 3, 2, 11, 4, 5, 10, 7, 6, 8, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.139-141), [0, 2, 10, 1, 11, 9, 8, 5, 6, 4, 7, 3], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.143-145), [0, 9, 10, 2, 1, 11, 4, 6, 7, 5, 8, 3], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.331-334), [0, 4, 3, 2, 1, 11, 7, 10, 5, 6, 8, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.362-365), [0, 7, 5, 3, 10, 8, 4, 2, 9, 6, 11, 1], T6; I9; RI3, (0, 2, 4, 5, 7, 9)
  • Hauer, Josef Matthias: Nomos, Op.19 (bb.503-507), [0, 10, 1, 2, 3, 5, 7, 11, 4, 8, 9, 6], T6; I9; RI3, (0, 2, 3, 4, 5, 7)
  • Hauer, Josef Matthias: XXIX. Zwölftonspiel für Cembalo; mit der Sokolowski-Reihe zu Bachs Geburtstag, [0, 11, 2, 1, 4, 3, 10, 5, 8, 9, 6, 7], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Hauer, Josef Matthias: Zwölftonspiel für zwei Violinen, [0, 2, 3, 11, 1, 10, 8, 6, 4, 9, 7, 5], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.13, [0, 3, 5, 7, 8, 10, 9, 6, 4, 2, 1, 11], T6; I9; RI3, (0, 2, 4, 5, 7, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.19, [0, 1, 4, 5, 8, 9, 11, 10, 7, 6, 3, 2], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.28, [0, 5, 7, 8, 9, 10, 11, 6, 4, 3, 2, 1], T6; I11; RI5, (0, 2, 3, 4, 5, 7)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.30, [0, 1, 2, 6, 7, 8, 11, 10, 9, 5, 4, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.6, [0, 2, 4, 6, 8, 10, 9, 7, 5, 3, 1, 11], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Hendler, Maximilian: 'Die vollständige Ordnung der symmetrischen zwölftönigen Modi', No.1, [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Hendler, Maximilian: aus den fünf Liedern nach Texten von Karl Hans Haysen für Singstimme und Klavier : 'Erkenntnis', Op.45-2, [0, 9, 2, 4, 7, 11, 8, 10, 5, 1, 6, 3], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Huber, Klaus: Zwei Sätze, [0, 3, 1, 10, 11, 8, 6, 9, 7, 2, 4, 5], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Ives, Charles: On the Antipodes, [0, 3, 11, 8, 4, 7, 10, 9, 6, 2, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Ives, Charles: Tone Roads, No.3, [0, 11, 1, 3, 2, 10, 5, 8, 4, 7, 6, 9], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Jung, Joachim: , [0, 11, 3, 10, 2, 1, 7, 8, 4, 9, 5, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Klein, Fritz Heinrich: Variationen, Op.14, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Kokkonen, Joonas: Cello Concerto, mov. 2, row "II/A", [0, 2, 7, 4, 3, 5, 6, 1, 11, 8, 10, 9], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Kokkonen, Joonas: Cello Concerto, mov. 2, row "II/B", [0, 2, 3, 1, 4, 5, 7, 8, 6, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Kokkonen, Joonas: Cello Concerto, mov. 2, row "II/C", [0, 9, 11, 10, 7, 2, 6, 3, 5, 4, 1, 8], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  • Kokkonen, Joonas: Woodwind Quintet, mov. 1, rows "I/A" and "I/B", [0, 2, 11, 9, 10, 1, 3, 6, 4, 5, 7, 8], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: Quaestio temporis, Op.170, [0, 3, 11, 4, 2, 1, 7, 8, 10, 5, 9, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: String Quartet, No.6, Op.78, [0, 10, 11, 8, 1, 9, 3, 7, 2, 4, 6, 5], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Krenek, Ernst: Zwölf Variationen in Drei Satzen, [0, 1, 3, 10, 2, 5, 11, 7, 4, 9, 6, 8], T6; I9; RI3, (0, 2, 3, 4, 5, 7)
  • Krenek, Ernst: Zwölf Variationen in Drei Sätzen, Op.79, [0, 1, 3, 10, 2, 5, 11, 7, 4, 9, 8, 6], T6; I9; RI3, (0, 2, 3, 4, 5, 7)
  • Kukuck, Felicitas: 'Der Gottesknecht': 6. Kantate, [0, 11, 10, 1, 2, 3, 8, 9, 6, 5, 7, 4], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Lackner, Peter: 'An alle Außerirdischen'. Kanon für drei Singstimmen, Kontrabaß und Klavier, [0, 4, 9, 7, 11, 2, 5, 1, 8, 10, 6, 3], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: 'Es fiel ein Reif in der Frühlingsnacht' für Singstimme und ein Melodie-Instrument, [0, 9, 4, 7, 2, 5, 1, 8, 10, 11, 3, 6], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: 'Euphorbia obesa'. Kanon für Oboe, Englischhorn und Fagott., [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: 'Flügelaltar' für Klavier, [0, 9, 11, 10, 2, 7, 1, 8, 4, 5, 3, 6], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  • Lackner, Peter: 'Venus-Quadrat' für Violine und Klavier, [0, 7, 2, 5, 9, 10, 11, 6, 8, 4, 3, 1], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: 2. Kanonzyklus, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Das Buch der Wandlungen I für Frauenstimmen und,oder Klavier, [0, 8, 3, 5, 1, 10, 7, 11, 4, 2, 6, 9], T6; I7; RI1, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: INITIUM TRIPLEX. 28. Juni 2016; für drei Tasteninstrumente, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Lackner, Peter: KANON für A, O & Gsellmanns Weltmaschine. 8. Oktober 1958,2008, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon T2 à 6, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon T3 à 4, [0, 2, 7, 3, 5, 10, 6, 8, 1, 9, 11, 4], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon T4 á 3, [0, 5, 7, 2, 4, 9, 11, 6, 8, 1, 3, 10], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon T6 á 2, [0, 10, 8, 3, 1, 5, 6, 4, 2, 9, 7, 11], T6; I7; RI1, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Blockflötenquartett. April 2005, [0, 10, 11, 3, 1, 2, 8, 7, 9, 5, 4, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Lackner, Peter: Kanon für Flöte solo und N. N., [0, 3, 7, 10, 2, 5, 11, 8, 4, 1, 9, 6], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Flöte und Elektronik. Februar 1999, [0, 10, 2, 7, 9, 5, 11, 3, 1, 8, 4, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Klavier zu vier Händen, [0, 10, 5, 3, 7, 8, 6, 4, 11, 9, 1, 2], T6; I9; RI3, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Klaviertrio, [0, 2, 4, 9, 5, 7, 3, 1, 11, 6, 10, 8], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Orgel, zweimanualiges Cembalo oder Klavier, [0, 7, 2, 11, 4, 9, 6, 8, 1, 5, 3, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für Orgel. 21. November 1994, 4. Februar 1995, [0, 8, 5, 1, 4, 9, 2, 11, 7, 3, 10, 6], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Lackner, Peter: Kanon für Schwegel, diatonisches Hackbrett und Violine, [0, 8, 4, 10, 6, 2, 5, 1, 9, 3, 11, 7], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für Schwegel und zwei Geigen, [0, 6, 4, 2, 10, 8, 9, 3, 5, 7, 11, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für Streichquartett. 22.September 2003, [0, 8, 10, 4, 2, 6, 9, 1, 11, 5, 7, 3], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für Violine, Viola und Akkordeon. 11. Juni 2007, [0, 11, 1, 2, 3, 10, 4, 9, 8, 7, 5, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Lackner, Peter: Kanon für Violine solo, [0, 11, 2, 7, 10, 9, 3, 4, 1, 8, 5, 6], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  • Lackner, Peter: Kanon für drei Klaviere. 28. 6. 2016, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Lackner, Peter: Kanon für drei Violinen I, II August 1998, [0, 2, 10, 4, 8, 6, 1, 9, 11, 5, 3, 7], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Kanon für zwei Singstimmen und Ensemble zur Skulpturengruppe LEM von Axel Kirchmayr und einem Text von Hannes Waltl. September 2004, [0, 2, 9, 10, 5, 7, 1, 11, 4, 3, 8, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für zwei Trompeten, Horn, Posaune und Tuba. 1. Mai 1993, [0, 1, 2, 10, 3, 5, 11, 9, 4, 8, 7, 6], T6; I9; RI3, (0, 2, 3, 4, 5, 7)
  • Lackner, Peter: Kanon für zwei Violinen, [0, 7, 4, 5, 9, 2, 3, 8, 11, 10, 6, 1], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für zwei Violinen. Frühjahr 1992, [0, 2, 4, 7, 9, 11, 5, 3, 1, 10, 8, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Lackner, Peter: Kanon für zwei Violinen und Klavier. 1. Dezember 2004, [0, 10, 2, 6, 8, 4, 1, 9, 11, 3, 7, 5], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: Moebiusband I für zwei Melodieinstrumente, [0, 6, 8, 2, 7, 1, 11, 5, 3, 9, 4, 10], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Lackner, Peter: Trauermusik für Fagott, Kontrafagott und Pauke, [0, 6, 2, 8, 10, 4, 11, 5, 9, 3, 1, 7], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Lackner, Peter: kgV (3,4) [zweistimmiger Kanon für Klavier], [0, 10, 2, 3, 5, 7, 1, 11, 9, 8, 4, 6], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Lang, Bernhard: 'Der Golem' nach Gustav Meyrinck, [0, 4, 7, 8, 11, 3, 5, 2, 9, 1, 10, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Lang, Bernhard: Der Reigen, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Lang, Bernhard: Hemma (Music Theatre Hemma Klagenfurt 2015), [0, 5, 10, 2, 3, 1, 7, 9, 8, 4, 11, 6], T6; I9; RI3, (0, 2, 3, 4, 5, 7)
  • Lang, Klaus: 'Von der Ligurischen Küste zum Trasimenischen See'; Trauermusik für Violine und Klavier, [0, 5, 9, 8, 10, 7, 1, 4, 2, 3, 11, 6], T6; I11; RI5, (0, 2, 3, 4, 5, 7)
  • Leibowitz, René: Trois pièces pour piano, Op.19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Liszt, Franz: Eine Faust Symphonie, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Luo, Zhong-Rong: Chang'e, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Dusk, row 2, [0, 3, 7, 5, 8, 10, 1, 11, 6, 2, 4, 9], T6; I9; RI3, (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Morning Glory, [0, 2, 5, 9, 7, 10, 3, 11, 1, 4, 6, 8], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Picking lotus flowers at the riverside, [0, 2, 5, 7, 10, 3, 1, 4, 6, 9, 11, 8], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Luo, Zhong-Rong: Three Piano Pieces, "Arabeque", row 2, [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Lutosławski, Witold: Musique Funébre (Funeral Music), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Lutyens, Elisabeth: Essence Of Our Happinesses, Op.69, mvt II, Part I, [0, 11, 1, 10, 2, 3, 8, 9, 5, 6, 4, 7], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Lutyens, Elisabeth: Motet (Excerota Tractati Logico-Philosophici), Op.27, [0, 11, 3, 7, 8, 4, 2, 6, 5, 1, 9, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Lutyens, Elisabeth: The Numbered, Altered Primary Row (swap pitches 2 and 3), [0, 11, 10, 1, 2, 9, 3, 4, 8, 5, 7, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Lutyens, Elisabeth: The Numbered, Primary Row, [0, 10, 11, 1, 2, 9, 3, 4, 8, 5, 7, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Mamlok, Ursula: Haiku Settings, No.5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Mamlok, Ursula: Panta Rhei, [0, 7, 4, 11, 8, 3, 10, 9, 6, 2, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Mamlok, Ursula: Panta Rhei, secondary row (mvt 4, Piano), [0, 11, 8, 3, 4, 7, 2, 1, 6, 9, 10, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Martino, Donald: Notturno (Row B), [0, 7, 11, 10, 9, 8, 2, 1, 6, 3, 4, 5], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Matthias, Hauer Josef: Zwölftonspiel für Holzbläser, Streicher und Klavier. April 1951, [0, 4, 9, 11, 7, 2, 3, 6, 8, 10, 5, 1], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Messiaen, Olivier: Livre d'orgue, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Mittendorfer, Josef: aleatoric row, [0, 2, 7, 1, 8, 6, 10, 5, 4, 11, 3, 9], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Moevs, Robert: Musica da Camera, [0, 1, 11, 3, 4, 2, 9, 10, 8, 7, 5, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Morris, Robert: By Far, [0, 1, 4, 11, 3, 2, 6, 7, 5, 10, 8, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Morris, Robert: Clash, [0, 3, 11, 10, 8, 1, 7, 9, 2, 6, 4, 5], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Morris, Robert: Concerto for Piano and Strings, [0, 1, 6, 11, 7, 5, 10, 8, 4, 3, 2, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Morris, Robert: Roundelay, row 1, [0, 7, 4, 11, 9, 2, 6, 3, 10, 5, 8, 1], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Morris, Robert: Roundelay, row 2, [0, 5, 9, 7, 8, 10, 4, 11, 1, 6, 2, 3], T6; I11; RI5, (0, 2, 3, 4, 5, 7)
  • Morris, Robert: Roundelay, row 5, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Morris, Robert: Roundelay, row 6, [0, 10, 5, 11, 4, 6, 8, 7, 2, 3, 9, 1], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Morris, Robert: Tête‐à‐Tête, [0, 3, 11, 10, 1, 8, 2, 6, 9, 5, 4, 7], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Nono, Luigi: Canti per tredeci, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: Composizione per orchestra, No.1, [0, 1, 7, 6, 2, 8, 4, 3, 5, 10, 11, 9], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Nono, Luigi: Cori di Didone, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: Ha venido, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Nono, Luigi: Il canto sospeso, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: Intolleranza, Alto, [0, 6, 7, 1, 2, 8, 9, 3, 4, 10, 11, 5], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Nono, Luigi: Intolleranza, Tenor 1, [0, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Nono, Luigi: Intolleranza, Tenor 2, [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: La terra e la compagna (sketch), Series 1, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Nono, Luigi: La terra e la compagna (sketch), Series 2, [0, 6, 1, 7, 11, 5, 2, 8, 10, 4, 3, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Nono, Luigi: Variazioni canoniche sulla serie dell'Op.41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Panufnik, Andrzej: Sinfonia di Sfere (Symphony, No.5), Chord 1, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Preßl, Hermann Markus: N. N. 50; 'Die Zeremonie des Abschieds', [0, 9, 4, 2, 7, 5, 8, 1, 6, 3, 11, 10], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Riegebauer, Sigrid: Toccata, [0, 3, 1, 2, 11, 10, 4, 5, 8, 7, 9, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Rochberg, George: Sonata-Fantasia, [0, 11, 10, 4, 5, 6, 9, 8, 7, 1, 2, 3], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Rochberg, George: Symphony, No.2, [0, 8, 1, 4, 9, 5, 6, 2, 3, 10, 11, 7], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Sande, Henrik: 'Volkslied' für zwei Singstimmen und Klavier. 24. 12. 2015, [0, 2, 4, 5, 7, 9, 10, 8, 6, 3, 1, 11], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Sande, Henrik: 4032 Töne für Klavier sechshändig, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Santoro, Claudio: Sonata, No.1, [0, 10, 3, 8, 11, 1, 2, 9, 7, 4, 5, 6], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Schnittke, Alfred: Concerto, No.2 for Violin and Chamber Orchestra, [0, 11, 1, 2, 10, 3, 4, 9, 5, 6, 8, 7], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Concerto Grosso, No.3, (mvt 3, 4), row 8, [0, 11, 7, 9, 10, 8, 6, 5, 3, 4, 1, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Concerto Grosso, No.3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Piano Sonata, No.1, mvt 2, mm. 72-76, [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Schnittke, Alfred: Sonata, No.2 for Cello and Piano, mvt 2, [0, 2, 3, 1, 4, 5, 11, 10, 7, 9, 8, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.1, [0, 2, 1, 10, 3, 11, 5, 9, 4, 7, 8, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.4, [0, 11, 10, 1, 3, 2, 4, 9, 8, 6, 5, 7], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.4, mvt 2, m.40, [0, 5, 10, 3, 2, 7, 8, 1, 6, 11, 4, 9], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.122, [0, 1, 11, 2, 10, 3, 4, 9, 8, 7, 6, 5], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: String Quartet, No.4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Symphony, No.7, mvt 3, row X, [0, 1, 10, 11, 2, 3, 9, 4, 5, 8, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Schnittke, Alfred: Symphony, No.7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Schoenberg, Arnold: Fantasy for Piano Four Hands, I, [0, 4, 2, 5, 3, 7, 11, 10, 1, 8, 9, 6], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Schoenberg, Arnold: Four Pieces for Mixed Chorus, No.3, Op.27, No.3, [0, 11, 7, 9, 10, 8, 4, 5, 1, 3, 2, 6], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Schoenberg, Arnold: Modern Psalms, The First Psalm, Op.50c, [0, 11, 8, 4, 7, 3, 1, 5, 2, 6, 9, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op.41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Schoenberg, Arnold: Psalm 130, De Profundis (unfinished), Op.50B, [0, 6, 5, 1, 11, 7, 4, 8, 9, 3, 2, 10], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Schoenberg, Arnold: Serenade, mvt 4, "Sonett", Op.24, [0, 10, 11, 7, 8, 9, 4, 2, 5, 1, 3, 6], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Schoenberg, Arnold: Suite, Op.29, [0, 4, 3, 7, 11, 8, 9, 6, 5, 1, 2, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Schoenberg, Arnold: Three Songs, No.3, "Madchenlied", Op.48, [0, 6, 8, 10, 2, 4, 9, 5, 3, 11, 7, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Schwantner, Joseph: ...and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Schwantner, Joseph: Elixir (Consortium VIII), [0, 8, 4, 3, 7, 11, 10, 6, 9, 5, 1, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Schwantner, Joseph: In Aeternum (Principal Row), [0, 4, 11, 6, 10, 5, 1, 9, 2, 7, 3, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Seiber, Mátyás: String Quartet, No.2, [0, 2, 3, 1, 4, 11, 5, 10, 7, 9, 8, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Seiber, Mátyás: Ulysses, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1214a Thirds (Twelve-Tone Patterns), [0, 4, 8, 11, 3, 7, 6, 10, 2, 5, 9, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1215a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 7, 2, 9, 4, 11, 6], T6; I7; RI1, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1216a Foutths (Twelve-Tone Patterns), [0, 5, 10, 3, 7, 2, 9, 4, 8, 1, 6, 11], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1218a Fourths (Twelve-Tone Patterns), [0, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7], T6; I7; RI1, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1219a Fourths (Twelve-Tone Patterns), [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1220a Fifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1221a Fifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1222aFifths (Twelve-Tone Patterns), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1223a Sixths (Twelve-Tone Patterns), [0, 8, 4, 1, 5, 9, 6, 2, 10, 7, 11, 3], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1225a Sixths (Twelve-Tone Patterns), [0, 8, 4, 7, 11, 3, 6, 2, 10, 1, 5, 9], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1226a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 8, 2, 4, 6, 1, 11, 9, 3, 5, 7], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1227a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 4, 2, 8, 6, 1, 11, 9, 7, 5, 3], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1228a Minor Sevenths (Twelve-Tone Patterns), [0, 10, 2, 4, 8, 6, 11, 1, 5, 3, 7, 9], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1229a Major Sevenths (Twelve-Tone Patterns), [0, 11, 10, 9, 8, 7, 1, 2, 3, 4, 5, 6], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1230a Major Sevenths (Twelve-Tone Patterns), [0, 11, 3, 4, 8, 7, 1, 2, 6, 5, 9, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1231a Major Sevenths (Twelve-Tone Patterns), [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1232a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1233a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1234a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1235a (Twelve-Tone Spirals), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1236a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 9, 2, 4, 7, 5, 6, 8, 3, 1, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1237a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 9, 7, 2, 4, 6, 5, 3, 1, 8, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1239a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 2, 9, 4, 7, 6, 5, 8, 3, 10, 1], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1240a Converging and Diverging Whole-Tone Scales (Twelve-Tone Spirals), [0, 11, 9, 2, 4, 7, 5, 3, 6, 8, 1, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1242a Mutually Exclusive Diminished-Seventh Chords (Twelve-Tone Spirals), [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1244a Crossing Sixths (Crossing Intervals), [0, 3, 8, 7, 4, 11, 1, 2, 10, 5, 6, 9], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1245a Crossing Fifths (Crossing Intervals), [0, 5, 7, 10, 2, 3, 9, 8, 4, 1, 11, 6], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1246a Crossing Fourths (Crossing Intervals), [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1247a Crossing Thirds (Crossing Intervals), [0, 3, 4, 11, 7, 8, 10, 5, 2, 1, 6, 9], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1248a Crossing Thirds (Crossing Intervals), [0, 5, 4, 1, 8, 9, 11, 6, 3, 2, 7, 10], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1250a Crossing Seconds (Crossing Intervals), [0, 11, 2, 9, 4, 7, 6, 5, 8, 3, 10, 1], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1256a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 5, 8, 11, 4, 6, 9, 1], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1256b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 9, 4, 2, 11, 7, 5, 1, 8, 6, 3, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1257a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 1, 6, 9, 2, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1257b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 3, 11, 7, 5, 2, 10, 6, 1, 9], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1269a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 1, 5, 6, 10, 2, 3, 7, 11], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1269b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1270a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 2, 6, 7, 11, 3, 5, 9, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1270b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 2, 10, 6, 3, 11, 7, 5, 1, 9], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1271a Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1271b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1277a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 2, 5, 8, 4, 11, 9, 6, 1], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1277b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 3, 7, 10, 5, 2, 4, 8, 11, 9, 6, 1], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1278a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 6, 1, 9, 5, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1278b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 7, 3, 6, 10, 1, 9, 5, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1290a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 1, 5, 6, 2, 10, 7, 3, 11], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1290b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 9, 5, 1, 10, 2, 6, 7, 3, 11], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1291a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 2, 6, 7, 3, 11, 9, 5, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1291b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 10, 6, 2, 11, 3, 7, 9, 5, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 1292a Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 3, 7, 10, 6, 2, 1, 9, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1292b Quadritonal Arpeggios; Inversions (Division of Twelve Tones into Four Mutually Exclusive Triads), [0, 4, 8, 11, 7, 3, 2, 6, 10, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1293a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1293b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 3, 1, 11, 10, 8, 6, 9, 7, 5, 4, 2], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 1294a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 9, 4, 7, 5, 2, 6, 3, 10, 1, 11, 8], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1294b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 8, 11, 1, 10, 3, 6, 2, 5, 7, 4, 9], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 1295a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 2, 5, 4, 3, 1, 6, 8, 11, 10, 9, 7], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1295b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 7, 9, 10, 11, 8, 6, 1, 3, 4, 5, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1296a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 7, 8, 3, 4, 11, 6, 1, 2, 9, 10, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 1297a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 9, 7, 2, 4, 6, 5, 3, 1, 8, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1297b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 10, 8, 1, 3, 5, 6, 4, 2, 7, 9, 11], T6; I7; RI1, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1298a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 1, 10, 2, 9, 6, 5, 7, 4, 8, 3], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1299a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 9, 2, 7, 4, 5, 6, 3, 8, 1, 10, 11], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1299b Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 10, 1, 8, 3, 6, 5, 4, 7, 2, 9], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 1300a Two Major Hexachords (Miscellaneous Dodecaphonic Patterns), [0, 11, 1, 10, 2, 9, 6, 5, 7, 4, 8, 3], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1303 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 2, 3, 7, 10, 5, 11, 4, 1, 9, 8, 6], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1304 Invertible Dodecaphonic Progressions - With all Different Intervals. (On a Minor Triad), [0, 3, 7, 8, 10, 5, 11, 4, 2, 1, 9, 6], T6; I9; RI3, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1310 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 1311 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 9, 10, 2, 5, 11, 8, 4, 3, 1, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1312 Invertible Dodecaphonic Progressions - With all Different Intervals, [0, 7, 10, 2, 3, 5, 11, 9, 8, 4, 1, 6], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1314 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 2, 7, 4, 5, 9, 3, 11, 10, 1, 8, 6], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1315 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 4, 5, 2, 7, 9, 3, 1, 8, 11, 10, 6], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1316 Invertible Dodecaphonic Progressions - With all Different Intervals. (White-Key Row of Six Notes), [0, 7, 4, 5, 9, 2, 8, 3, 11, 10, 1, 6], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1317 Invertible Dodecaphonic Progressions - With all Different Intervals. (Mother Chord), [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 1318 Invertible Dodecaphonic Progressions - With all Different Intervals. (Grandmother Chord), [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 230 Ultrapolation of Three Notes (Ditone Progression; Equal Division of One Octave into Three Parts), [0, 6, 5, 11, 4, 10, 9, 3, 8, 2, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Slonimsky, Nicholas: No. 405 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 7, 5, 3, 10, 8, 6, 1, 11, 9, 4, 2], T6; I9; RI3, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 407 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 415 Ultrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 5, 3, 1, 8, 6, 4, 11, 9, 7, 2], T6; I7; RI1, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 453 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 10, 3, 2, 1, 6, 5, 4, 9, 8, 7], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 459 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 8, 3, 1, 11, 6, 4, 2, 9, 7, 5], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 469 Infrapolation of Two Notes (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 482 Infra-Interpolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 11, 1, 3, 2, 4, 6, 5, 7, 9, 8, 10], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 485 Infra-Interpolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 2, 3, 1, 5, 6, 4, 8, 9, 7, 11], T6; I9; RI3, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 496 [Shostakovitch: Prelude No, 2] Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 2, 4, 3, 5, 7, 6, 8, 10, 9, 11, 1], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 499 Inter-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 2, 7, 3, 5, 10, 6, 8, 1, 9, 11, 4], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 505 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 5, 3, 1, 8, 6, 4, 11, 9, 7, 2], T6; I7; RI1, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 508 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 10, 8, 3, 1, 11, 6, 4, 2, 9, 7, 5], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 512 Infra-Ultrapolation (Sesquitone Progression; Equal Division of One Octave into Four Parts), [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 570 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 1], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 572 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 574 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 576 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 9, 2, 11, 4, 1, 6, 3, 8, 5, 10, 7], T6; I7; RI1, (0, 2, 3, 4, 5, 7)
  • Slonimsky, Nicholas: No. 578 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 579 Ultrapolation of One Note (Whole-Tone Progression; Equal Division of One Octave into Six Parts), [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 637 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 639 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 5, 4, 3, 6, 7, 8, 11, 10, 9], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 640 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 10, 7, 8, 9, 6, 5, 4, 1, 2, 3], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 642 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 11, 10, 9, 8, 7, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 645 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 11, 10, 8, 9, 7, 6, 4, 5, 3, 2], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 648-654 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 655-657 Permutations (Semitone Progression; Equal Division of One Octave into Twelve Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 749 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 5, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 753 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 4, 8, 9, 1, 5, 6, 10, 2, 3, 7, 11], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 754 Interpolation of Two Notes (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 5, 7, 9, 2, 4, 6, 11, 1, 3, 8, 10], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 793 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 794 Infra-Ultrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 10, 11, 9, 7, 8, 6, 4, 5, 3, 1, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 799 Infra-Infrapolation (Sesquiquadritone Progression; Equal Division of Three Octaves into Four Parts), [0, 2, 7, 9, 11, 4, 6, 8, 1, 3, 5, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Slonimsky, Nicholas: No. 822 Ultrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 823 Ultrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 1, 10, 11, 8, 9, 6, 7, 4, 5, 2, 3], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 824 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Slonimsky, Nicholas: No. 875 Infrapolation of One Note (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Slonimsky, Nicholas: No. 903 Inter-Ultrapolation (Quinquetone Progression; Equal Division of Five Octaves into Six Parts), [0, 4, 8, 5, 9, 1, 10, 2, 6, 3, 7, 11], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Slonimsky, Nicholas: No. 915 Miscellaneous Patterns (Diatessaron Progression; Equal Division of Five Octaves into Twelve Parts), [0, 10, 2, 8, 4, 6, 5, 3, 7, 1, 9, 11], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Slonimsky, Nicholas: No. 997 Infra-Interpolation (Diapente Progression; Equal Division of Seven Octaves into Twelve Parts), [0, 8, 4, 7, 3, 11, 2, 10, 6, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Smith, Hale: Contours for Orchestra, [0, 5, 6, 4, 10, 11, 7, 2, 1, 3, 9, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Spinner, Leopold: Chamber Symphony, Op.28, [0, 11, 10, 6, 4, 5, 2, 1, 3, 7, 8, 9], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Spinner, Leopold: Fantasy for Piano, Op.9 , [0, 1, 4, 5, 2, 3, 8, 9, 6, 7, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Spinner, Leopold: Ich lieb' eine Blume for Four-part mixed Choir, [0, 11, 2, 4, 9, 7, 1, 3, 10, 8, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Spinner, Leopold: Sonata for Clarinet and Piano, Op.17, [0, 3, 4, 1, 2, 5, 11, 8, 7, 10, 9, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Spinner, Leopold: Sonatina for Cello and Piano, Op.26, [0, 1, 11, 2, 4, 3, 9, 10, 8, 5, 7, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Spinner, Leopold: String Quartet, No.2, Op.7, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Spinner, Leopold: Trio for Clarinet, Cello and Piano, [0, 1, 7, 6, 5, 11, 10, 3, 4, 2, 9, 8], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Steinbauer, Othmar: Violinsonate, No.1, Op.15, [0, 5, 2, 10, 7, 3, 11, 8, 4, 1, 6, 9], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Stockhausen, Karlheinz: Gruppen, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Klavierstück IX, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Klavierstück VII, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Klavierstück X, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Kreuzspiel, [0, 10, 9, 11, 7, 2, 8, 1, 4, 6, 5, 3], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  • Stockhausen, Karlheinz: Tierkreis, Cancer, [0, 7, 11, 10, 9, 8, 3, 6, 4, 1, 5, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Stockhausen, Karlheinz: Tierkreis, Scorpio, [0, 4, 3, 11, 7, 8, 10, 9, 2, 5, 1, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Stravinsky, Igor: Agon, "Pas de deux", "Four trios", [0, 1, 4, 3, 2, 5, 6, 9, 8, 11, 10, 7], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Stravinsky, Igor: Canticum Sacrum, II & IV, [0, 11, 1, 3, 4, 2, 7, 6, 9, 5, 8, 10], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Stravinsky, Igor: Fanfare for a New Theater, [0, 11, 1, 3, 4, 2, 5, 7, 6, 8, 10, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Stravinsky, Igor: Movements, [0, 1, 7, 5, 6, 11, 9, 8, 10, 3, 4, 2], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  • Talma, Louise: Passacaglia and Fugue, [0, 4, 2, 9, 11, 7, 8, 3, 1, 6, 5, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Talma, Louise: Six Etudes, Etude 4, [0, 1, 5, 9, 4, 8, 7, 6, 11, 2, 10, 3], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Wang, Jian-Zhong: Five Pieces for Piano no. 1, "Pastorale" (variant), [0, 3, 5, 7, 4, 2, 11, 9, 6, 8, 10, 1], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  • Webern, Anton: Op.32 (un-finished), later sketch, [0, 1, 2, 11, 10, 9, 5, 4, 3, 6, 7, 8], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Webern, Anton: 3 Lieder, "Erlösung", Op.18, No.2, [0, 3, 11, 2, 10, 1, 9, 5, 8, 4, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  • Webern, Anton: 3 Volkstexte, "Heiland, Unsere Missetaten...", Op.17, No.3, [0, 9, 8, 7, 11, 10, 4, 5, 6, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Webern, Anton: Concerto for Nine Instruments (Konzert), Op.24, [0, 11, 3, 4, 8, 7, 9, 5, 6, 1, 2, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Webern, Anton: Symphony, Op.21, [0, 3, 2, 1, 5, 4, 10, 11, 7, 8, 9, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Webern, Anton: Variations for Orchestra, Op.30, [0, 1, 4, 3, 2, 5, 6, 9, 8, 7, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Webern, Anton: Variations for Piano, Op.27, [0, 8, 7, 11, 10, 9, 3, 1, 4, 2, 6, 5], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Westergaard, Peter: Mr. and Mrs. Discobbolos, [0, 2, 1, 4, 3, 5, 8, 6, 10, 7, 11, 9], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.1 - Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.2 - Study on Thirds, [0, 11, 9, 8, 10, 7, 6, 5, 3, 2, 4, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 11, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 5, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 6, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 7, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 8, [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  • Wolpe, Stefan: Four Studies on Basic Rows, No.4, "Basic Row" 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Flute Variations II, [0, 1, 3, 2, 5, 4, 9, 10, 6, 8, 7, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Second Sonata, Source set, [0, 2, 10, 3, 5, 7, 6, 4, 1, 11, 9, 8], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  • Wuorinen, Charles: Second Sonata, Voice 2, [0, 2, 10, 9, 11, 1, 6, 4, 7, 5, 3, 8], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Second Sonata, Voice 3, [0, 2, 4, 3, 5, 1, 9, 7, 11, 10, 8, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Sonata for Piano, [0, 3, 2, 4, 5, 1, 11, 8, 9, 7, 6, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  • Wuorinen, Charles: Third Piano Sonata, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  • Zhou, Jin-Min: Piano Quintet, Scherzo, [0, 10, 5, 4, 6, 11, 7, 9, 2, 3, 1, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  • Zillig, Wilfried: Das Opfer, [0, 11, 3, 4, 8, 7, 10, 9, 1, 2, 6, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  • Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  • Zimmermann, Bernd Alois: 'Ich wandte mich um und sah alles Unrecht das geschah unter der Sonne', [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)

A relationship between pitches that share a letter name but are separated by one or more octaves.

Duplicating some notes of a chord in multiple parts.

Chromatic Modulation

Modulation to closely-related keys is a relatively easy task; we can find a pivot chord by looking at the group of chords shared between two keys that have nearly-identical key signatures. There are plenty of them. For example:

assignment 7 1 writing scale degree triads

When two keys are more than one accidental apart on the circle of fifths, however, it becomes more difficult it is to find a pivot chord that will enable a smooth modulation between the two keys.

To modulate to a distantly-related key, that is, a key that is more than one accidental away on the circle of fifths, requires us to use our knowledge of chromatic chords, such as those found through mode mixture. Mode mixture enables us to expand the number of possible pivot chords for modulation. For example, in the key of C major, the chords made possible through mode mixture (i.e. those chords found in C minor, its parallel key), we can now modulate easily to E-flat major (7 shared chords), A-flat major (4 shared chords), B-flat major (3 shared chords), and their relative minor keys, F minor and G minor. Example 2 shows the common chords shared between C major and E-flat major, made possible by using mixture chords in C major.

assignment 7 1 writing scale degree triads

Example 3 shows a modulation from the key of A major to F major, using iv from A major as a pivot chord. Example 4 shows this technique being used by Verdi in his opera  Rigoletto.

Example 3. Modulation from A major to F major using a mixture chord in A major (iv) as a pivot chord. 

Example 4. Modulation from D-flat major to F-flat major using a mixture chord in Db major (bVI6) as a pivot chord. 

Conversely, we can use diatonic chords in the old key as mixture chords in the new key to modulate to distant keys in the "sharpwise" direction on the circle of fifth. Example 5 shows the potential pivot chords when modulating from C major to A major by way of the diatonic chords in C major as mixture chords in the new key of A major.

assignment 7 1 writing scale degree triads

Example 5. Potential pivot chords when modulating from C major to A major. 

A modulation using this technique in a chorale setting is shown in Example 6.

Example 6. Modulation from A-flat major to C major using a diatonic chord in A-flat major (vi) as a pivot chord that is interpreted as a mixture chord (iv) in C major. 

Example 7 shows an interesting chromatic modulation from Brahms's Waltz, op. 39, no. 14. Here, Brahms uses a diatonic viio6 chord in the local key of G major to pivot to E major, reinterpreting the chord as iio6, a mixture chord in the new key of E major.

Example 7. Modulation from G major to E major using a diatonic chord in G major (viio6) as a pivot chord that is interpreted as a mixture chord (iio6) in E major. 

Common-Tone Modulation

Sometimes we can use a common-tone, rather than a pivot chord, to modulate to distantly related keys. In particular, the key areas that are a third away from the home key are easily modulated to using this technique.These keys, chromatically altered tonics that are a third away from the home key, are called “chromatic third” or “chromatic mediant” relations. For example:C and Ab major (share the common tone C), C and Eb major (share the common tone G), C and A major (share the common tone E), C and E major (share the common tone E).

Example 8. Common tones shared between chromatic mediants. 

We can modulate to distant keys in several ways. Chromatic modulation refers to a modulation to a distant key by way of a chromatic chord. Enharmonic reinterpretation involves respelling and resolving a chromatic chord (usually a German augmented sixth or diminished seventh chord). The German augmented-sixth chord may be respelled to resemble a dominant seventh chord. If you use the German augmented-sixth from the home key, the resulting modulation will be up a half step. Likewise, you can re- spell a dominant seventh chord to resemble a German augmented-sixth chord. If you use the dominant seventh chord in the home key, the resulting modulation will be down a half step. You can, of course, use this trick with any dominant-seventh chord (say, a secondary dominant), opening up numerous possibilities for modulation.

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Open Music Theory - Fall 2023 Copyright © 2021 by Chelsey Hamm is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License , except where otherwise noted.

Diatonic Triads (Music Theory Lesson 24 - part 1)

Other music theory articles.

Open Music Theory

Triads and seventh chords.

A chord is any combination of three or more pitch classes that sound simultaneously.

A three-note chord whose pitch classes can be arranged as thirds is called a triad .

To quickly determine whether a three-note chord is a triad, arrange the three notes on the “circle of thirds” below. The pitch classes of a triad will always sit next to each other.

Identifying and labeling triads

Triads are identified according to their root and quality .

Triad roots

To find a triad’s root, arrange the pitch classes on a circle of thirds (mentally or on paper). The root is the lowest in the three-pitch-class clump. Expressed another way, if the circle ascends by thirds as it moves clockwise, the root is the “earliest” note (thinking like a literal clock), and the other pitch classes come “later.”

Once you know the root, you can identify the remaining notes as the third of the chord (a third above the root) and the fifth of the chord (a fifth above the root).

Triad qualities

To find a triad’s quality, identify the interval between the root and the other members of the chord. There are four qualities of triads that appear in major and minor scales, each with their own characteristic intervals.

  • major triad: M3 and P5 above the root (as in do–mi–sol )
  • minor triad: m3 and P5 above the root (as in do–me–sol or la–do–mi )
  • diminished triad: m3 and d5 above the root (as in ti–re–fa )
  • augmented triad: M3 and A5 above the root (as in me–sol–ti )

Four qualities of triads.

Lead-sheet symbols

A triad can be summed up by a single symbol, such as a lead-sheet chord symbol. A lead sheet symbol includes information about both root quality, as well as which pitch class occurs in the lowest voice (called the bass regardless of who is singing or playing that pitch).

A lead-sheet symbol begins with a capital letter (and, if necessary, an accidental) denoting the root of the chord. That letter is followed by information about a chord’s quality:

  • major triad: no quality symbol is added
  • minor triad: lower-case “m”
  • diminished triad: lower-case “dim” or a degree sign “°”
  • augmented triad: lower-case “aug” or a plus sign “+”

Finally, if a pitch class other than the chord root is the lowest note in the chord, a slash is added, followed by a capital letter denoting the pitch class in the bass (lowest) voice.

A C-major triad’s lead-sheet symbol is simply C . A C-minor triad is Cm . A D-sharp-diminished triad with an F-sharp in the bass is D#dim/F# . And so on.

Four qualities of triads with lead-sheet symbols.

Roman numerals

Chords are often labeled according to their function within a key. One system for doing so uses Roman numerals to designate the scale degree of the chord’s root. Some musicians also use Roman numerals to describe the quality of the chord. Capital Roman numerals (I, II, III, etc.) are used for major triads. Lower-case Roman numerals (i, ii, iii, etc.) are used for minor triads. Lower-case Roman numerals followed by a º sign (iiº, viiº, etc.) are used for diminished triads. Capital Roman numerals followed by a + sign (V + , for example) are used for augmented triads. In general, Roman numerals are generally labeled below the score.

(Some musicians prefer to use Roman numerals only to reflect the scale-degree of the chord root. In such cases, all Roman numerals are capital. In this textbook, we use all-capital Roman numerals to refer to chords generally, when quality does not matter. When notating specific chords with specific qualities, we will differentiate those qualities in the Roman numerals.)

In major keys, chords with the same Roman numeral are made up of the same scale-degrees (using the same solfège syllables), and they have the same quality. In other words, triads labeled “I” in any major key will be major triads containing do , mi , and sol . iii triads will be minor triads containing mi , sol , and ti , etc. The same is true for minor keys (though I in minor is different from I in major).

Following are the qualities and scale-degrees belonging to each triad in every major key:

  • I: major – do , mi , sol
  • ii: minor – re , fa , la
  • iii: minor – mi , sol , ti
  • IV: major – fa , la , do
  • V: major – sol , ti , re
  • vi: minor – la , do , mi
  • vii°: diminished – ti , re , fa

Following are the qualities and scale-degrees belonging to each triad in every minor key:

  • i: minor – do , me , sol
  • ii°: diminished – re , fa , le
  • III: major – me , sol , te
  • iv: minor – fa , le , do
  • VI: major – le , do , me
  • VII: major – te , re , fa

Building a triad

To build a triad on the staff, identify the root, quality, and bass note from the lead-sheet symbol. The root and quality will tell you what three pitch classes belong to the triad. For example, C + tells you the root is C, and the quality is augmented. Since the quality is augmented, there is a major third above the root (E) and an augmented fifth above the root (G-sharp). Since there is no bass note appended to the lead-sheet symbol, the bass note is the same as the root: C. Write a C on the staff (in any comfortable register), then write the other chord tones (E and G-sharp) above the C (see the Caug triad in the above figure).

For Cm/E♭ , the root is C, and the quality is minor. Since the quality is minor, there is a minor third above the root (E-flat) and a perfect fifth above the root (G). The slash identifies E-flat as the bass note. Write the E-flat on the staff. Then write a C and a G above it to complete the chord (again, see above).

When all the members of the triad are as close to the bass note as they can be, the chord is in what is called close position (C, Cm/E♭, and Cdim/G♭ above). When there are spaces between chord tones, the chord is in open position (Caug above). (In certain musical situations, only one of those positions will be useful or desirable.)

Listening to triads

Each triad quality has its own distinct sound, and to an extent that sound is preserved even when the chord is inverted (when the pitch classes are arranged so that a pitch class other than the root is in the lowest voice). As you practice identifying and writing triads, be sure to play the triads, both to check your analysis/writing and to develop the ability to identify chord qualities quickly by ear.

Seventh chords

A four-note chord whose pitch classes can be arranged as thirds is called a seventh chord .

Like with a triad, the pitch classes belonging to a seventh chord occupy adjacent positions (a four-pitch-class clump) on the circle of thirds. The four members of a seventh chord are the root , third , fifth , and seventh .

There are five qualities of seventh chords that appear in diatonic music: major seventh, dominant seventh, minor seventh, diminished seventh (also called fully-diminished), and half-diminished seventh. They are comprised of the following intervals above their roots:

  • major seventh: M3, P5, and M7 above the root (or major triad with a major seventh)
  • dominant seventh: M3, P5, and m7 above the root (or major triad with a minor seventh)
  • minor seventh: m3, P5, and m7 above the root (or minor triad with a minor seventh)
  • diminished seventh: m3, d5, and d7 above the root (or diminished triad with a diminished seventh)
  • half-diminished seventh: m3, d5, and m7 above the root (or diminished triad with a minor seventh)

Following are the lead-sheet abbreviations for seventh-chord qualities:

  • major seventh: maj7 or △7 (G maj7 or G △7 )
  • dominant seventh: 7 (B 7 )
  • minor seventh: m7 (F♯ m7 )
  • diminished seventh: dim7 or °7 (D dim7 or D °7 )
  • half-diminished seventh: ⦰7 (A ⦰7 )

Following are the qualities and scale-degrees belonging to each seventh chord in every major key, along with the corresponding Roman numeral reflecting those qualities:

  • I 7 : major seventh – do , mi , sol , ti
  • ii 7 : minor seventh – re , fa , la , do
  • iii 7 : minor seventh – mi , sol , ti , re
  • IV 7 : major seventh – fa , la , do , mi
  • V 7 : dominant seventh – sol , ti , re , fa
  • vi 7 : minor seventh – la , do , mi , sol
  • vii ⦰7 : half-diminished seventh – ti , re , fa , la

Following are the qualities and scale-degrees belonging to each seventh chord in every minor key, along with the corresponding Roman numeral reflecting those qualities:

  • i 7 : minor seventh – do , me , sol , te
  • ii 7 : half-diminished seventh – re , fa , le , do
  • III 7 : major seventh – me , sol , te , re
  • iv 7 : minor seventh – fa , le , do , me
  • VI 7 : major seventh – le , do , me , sol
  • VII 7 : dominant seventh – te , re , fa , le
  • vii° 7 : diminished seventh – ti , re , fa , le

Note that major-seventh and dominant-seventh chords have the same Roman numeral nomenclature. The difference is discerned from the context of the key.

assignment 7 1 writing scale degree triads

Now that you understand consonance and dissonance and how to classify intervals, it’s possible to discuss harmony – the art of combining simultaneous pitches. We’ll use the term chord to refer to a combination of three or more different pitch classes, and keep the term interval for combinations of only two pitch classes.

Autograph page of J.S. Bach’s Prelude in C from the 
 Well Tempered Clavier, Book I Bach’s famous keyboard composition consists entirely of chords played melodically (“arpeggiated”).

Types of Triads

The kind of harmony we are studying, the harmony that underlies both music of the classical era and popular music of today, is called tonal harmony . It is based on the triad Triad A three note chord built by stacking two thirds together: F- A- C, for example. The outer notes of a triad are a fifth apart. A triad can be major, minor, augmented or diminished depending on the qualities of its thirds. . A triad is a chord formed by combining the intervals of the fifth and the third; in its simplest form it looks like two thirds stacked together, as at right.

Triads arise naturally whenever you try to make three different pitches agree with each other. It’s a unique structure: a major or minor triad is the only possible group of three pitches in which all are different pitch classes and all are consonant with each of the others. That is why the triad has come to have such importance in tonal harmony, which depends on the resolution of dissonance by consonance: consonant triads provide that resolution.

Figure 7.1 Triad built on C

Figure 7.3  Parts of the triad

major triad

minor triad

Figure 7.2  Major and minor triads are composed of a major third and a minor third, which add up to a perfect fifth.

The Major And Minor Triads

Consonant triads are composed of a major third and a minor third, which add up to a perfect fifth. If the major third is the lower of the two, the triad is called a major triad Major Triad A chord formed of a major third with a minor third on top. The outer notes of the triad add up to a perfect fifth. The pitch the triad is built on is known as its root. The triad can appear inverted, meaning that the root is not the lowest pitch. If the third is lowest, the triad is in first inversion; if the fifth is lowest, it’s in second inversion. , and if the minor third is in the lower position then the triad is a minor triad Minor Triad A chord formed of a minor third with a major third on top. The outer notes of the triad add up to a perfect fifth. The pitch the triad is built on is known as its root. The triad can appear inverted, meaning that the root is not the lowest pitch. If the third is lowest, the triad is in first inversion; if the fifth is lowest it’s in second inversion. .

Parts Of A Triad

The pitch that the triad is built on is called its root Root For a chord, the pitch that’s in the lowest position if all three pitches are placed as close together as possible. For example, a triad would consist of a root, a third above the root, and a fifth above the root. A triad is identified by its root and chord type, e.g. “C minor.” . The triad’s middle and upper pitches are called its third and its fifth , named after the intervals they form with the root.

A triad is identified by its root and by its quality , which can be major, minor, diminished, or augmented. The triad in Figure 7.3 is an F major triad, abbreviated: FM (or just F). Movie 7.1 on the next page shows major and minor triads built on the same root. Both triad types use a perfect fifth; the major or minor quality is determined by the triad’s third.

Diminished And Augmented Triads

The triad B D F is said to be diminished because its fifth is diminished, rather than being perfect like the fifths of the major and minor triads. The diminished triad consists of two minor thirds. To label a diminished triad we use lower-case letters, since it is based on minor thirds, and we add the symbol “°” to indicate the diminished quality. Sometimes you’ll see the abbreviation “dim” instead of “°.”

The diminished fifth is a dissonant, unstable interval, and so the diminished triad is also dissonant: because of its unstable nature it doesn’t work well as a conclusion or as a point of rest – it doesn’t sound “finished.” You can make an augmented triad, too, though it’s not used as often. The augmented triad is composed of two major thirds, which together form an augmented fifth. The augmented fifth sounds like a minor sixth on a piano, but it is technically dissonant (remember that “dissonance” refers to musical instability, not to unpleasantness). The chord is labeled in upper-case numerals with a “+” or “aug” to show the augmentation.

Movie 7.1  Parallel major and minor triads

Movie 7.2  Building major, minor, diminished and augmented triads

Suggested Practica Musica Activities 7.1

• Playing major and minor triads: Use the keyboard to play the notes of major and minor triads.

Triads Natural To The Major Keys

The seven triads that can be made from the notes of a single major scale define the harmonic world of that key. We say they’re the natural triads of a given key when they consist solely of the unaltered scale notes of that key. These seven triads are identified by the name of their scale degree (tonic, dominant, subdominant, etc.) or by the number of their scale degree in Roman numerals. We use upper and lower-case Roman numerals to distinguish major from minor triads. For instance, in a major scale the triad built on the first note is called the tonic triad , or I, the triad built on the fourth note is called the subdominant triad or IV; the submediant triad is the minor triad vi. The triad on a major key’s seventh degree is always diminished, and uses lower-case numerals plus the diminished symbol.

The Primary Triads In Major Keys

As you can see from the upper-case Roman numerals, only three of the chords natural to the major scale are major: the ones built on I, IV, and V. The tonic, subdominant, and dominant triads are the most important chords in tonal music. Many folk and pop songs use only I, IV, and V, and the same is true of many of the best-known classical themes. We call these three the primary triads Primary Triads The triads built on the tonic, subdominant and dominant scale degrees. In major keys all three are major triads; in minor keys all three are minor, but the dominant triad is often altered to major which produces a leading tone back to the tonic. .

Movie 7.3  Triads natural to the key of C major

Movie 7.4  Primary triads for the key of C major

The Secondary Triads In Major Keys

The remaining triads of the key, the ones built on the second, third, sixth, and seventh degrees, provide variety and complexity. We call them the secondary triads.

No matter what major key you’re in, the primary and secondary triads always have the same qualities. As long as you use only the notes defined by the key signature, then the I, IV, and V triads will always be major, the ii, iii, and vi triads will always be minor, and the vii chord will always be diminished.

Triads Natural To The Minor Keys

If you build triads on each degree of a natural minor scale, again using only the notes of the scale, the quality of each chord will of course be different from what it was in the major keys. The primary triads, for example, will be minor instead of major, while three of the four secondary triads are now major. Movie 7.6 shows the triads natural to the A minor scale.

Movie 7.6  Triads natural to the key of A minor

Suggested Practica Musica Activities 7.2

• Building triads: Practice correctly spelling major or minor triads in different keys.

Movie 7.5  Primary and secondary triads in major keys

Movie 7.7  Making the dominant chord major

Movie 7.8  Other effects of a raised seventh degree

Figure 7.4  In flat keys, raising the seventh degree requires a natural

Altering The Minor Dominant Chord

The dominant chord doesn’t work very well if it’s minor. The function of a dominant chord, as we’ll see later, is to lead strongly back to the tonic, and for that it’s necessary that the dominant chord contain the scale’s leading tone – the note a half step below the tonic. To provide the leading tone necessary for a strong dominant, composers usually raise the third of the minor dominant chord, making it major like the dominant in the major keys. This is the origin of the harmonic minor scale: the alteration made to the dominant chord raises the seventh degree of the scale, allowing more effective harmony.

This alteration is always accomplished with an accidental – not by adding to the key signature. Sometimes what is needed is not a sharp but a natural, as follows (Figure 7.4).

When the seventh degree is raised it can affect other chords, too. It can turn the VII chord into a vii° chord like the one in the major keys (Movie 7.8).

1. The triad is the basis of tonal harmony. The major and minor triads are the only possible combinations of three different pitch classes in which each pitch is consonant with both the others. A triad is built by stacking two thirds together; its outer notes are a fifth apart.

2. A major triad is a major third with a minor third on top; a minor triad is a minor third plus a major third. The other triads are dissonant: a diminished triad is two minor thirds and an augmented triad is two major thirds.

3. Triads of a given key are identified by the name or number of the scale degree they are built on (i.e. their root). Major or augmented chords are written with upper-case Roman numerals; minor or diminished chords in lower case. Diminished chords are further identified by the symbol “°” and augmented ones by “+.”

4. The primary triads are those built on the tonic, dominant, and subdominant degrees of a major or minor scale. All the others are called secondary triads .

5. Triads formed on each degree of a major scale will have these qualities: I, ii, iii, IV, V, vi, vii°

6. Triads formed on each degree of a natural minor scale will have these qualities: i, ii° , III, iv, v,VI, VII

The dominant ( v ) is customarily converted to a major triad, V , by raising its middle note (its third) a half step so that it becomes a leading tone to the tonic, as in the major scale. This is the origin of the harmonic minor scale discussed in Chapter 6: the middle note of the v chord is the 7th degree of the scale.

7. Another variable chord in minor is the VII, which becomes vii° if built on the raised form of the seventh degree. And sometimes composers will raise the sixth degree as well (melodic minor), which can produce a major IV or a diminished vi chord.

8. Such alterations to the degrees of the scale are accomplished with accidentals, not by changing the key signature.

Inverted Triads

So far we’ve presented every triad with its root in the lowest position. That is called root position Root Position For a chord, the pitch that’s in the lowest position if all three pitches are placed as close together as possible. For example, a triad would consist of a root, a third above the root, and a fifth above the root. A triad is identified by its root and chord type, e.g. “C minor.” . But the root does not have to be the lowest note. If the triad’s third is the bass, the chord is said to be in first inversion First Inversion A chord whose third is in the lowest position. A “6” added to a Roman numeral indicates that a chord is in first inversion. For example, IV⁶, represents a subdominant chord in first inversion. The “6” tells you that the root of the chord is a sixth above the bass note. . If we put the fifth in the bass, the chord will be in second inversion Second Inversion A chord whose fifth is in the lowest position. A “6/4” added to a Roman numeral indicates that a chord is in second inversion. The “4” tells you that the root of the chord is a fourth above the bass note, and the “6” tells you that the third of the chord is a sixth above the bass note. . Keep in mind that the upper notes of a triad can be arranged in different ways, using different octaves, without making a difference to the chord’s name or its inversion. We refer to the ordering of pitches in a chord as voicing , which we’ll learn more about later in this chapter.

Figured Bass (Thorough bass)

In the 17th and 18th centuries composers often used a sort of shorthand to notate harmonic accompaniment. They provided a bass line – just the lowest notes of the accompaniment – with numbers below or above each note that indicated the required harmony. The keyboard player improvised the rest, filling in chords and decorating them, much as a jazz artist might do today.

The bass line with numbers was called a figured bass Figured Bass The former practice (also known as thoroughbass) of writing figures (numbers) under a bass line to indicate harmonies. Each number appearing with the bass line refers to an interval needed in the harmony, as measured from the bass note. Filling in the harmonies from the figures is called realizing a figured bass. In Roman numeral analysis, numbers from the old practice of figured bass are often used in identifying chord inversions. A “6” added to a Roman numeral means the chord’s third is in the bass (first inversion). “6/4” means the chord’s fifth is in the bass (second inversion). The numbers refer to the intervals that notes of the chord form with the bass note, disregarding octaves. Figures are also used to identify the inversion of seventh chords. “7” is the root position seventh chord; “6/5” means a first inversion seventh chord; “4/3” means the second inversion, and “4/2” indicates a third inversion. or thorough bass , and although it’s no longer used by composers we still use its figures in labeling chords, particularly inverted ones.

Movie 7.9  Inversions of a C major triad

Movie 7.10  Inversions of a C major triad with alternate voicings

Figured bass works this way: each number appearing with the bass line refers to an interval needed in the harmony, as measured from the bass note. A root position triad would be indicated by the numerals 5/3, since the intervals of the triad measured from the bass note are the fifth and third. The figures 6/3 indicate that the third is in the bass (first inversion) and the needed intervals are a sixth and a third above the bass. Similarly, the figures 6/4 tell the performer that the triad is in second inversion: the fifth is in the bass and the intervals needed are the sixth and fourth above the bass. In practice, the figures were often abbreviated. A root position triad is assumed if no number appears below the bass note, and for the first inversion triad only the 6 is written. For the second inversion triad, however, both intervals are specified: 6/4.

Movie 7.11 shows an example of a simple bass line with figures. The triads above the bass line show which intervals are to be filled in by the performer as indicated by the figures.

Translating the numbers into actual harmonies is called realizing the figured bass. Though the realization shown in

Movie 7.11 is harmonically correct, it sounds awkward because the chords aren’t properly voiced. In actual practice, performers altered the arrangement of the upper notes of the chord to create smoother lines. Movie 7.12 shows an example of how the same bass line can be realized more effectively using different chord voicings.

Figure 7.5  Figured bass symbols

Movie 7.11  A bass line with figures

Movie 7.12  A simple realization with figures

Altered Chords In Figured Bass

A flat or sharp prefix in figured bass means to use an accidental to alter the chord. A sharp or flat appearing alone in the figured bass without a number is assumed to be an abbreviation for a sharp third or flat third. So, for example, a composer using figured bass in a minor key could indicate a root position dominant chord altered to major simply by writing the root note with a “♯” underneath it.

Figured bass can get much more complex than this, but for those of us who are not specialists in the performance of early music the simplest numbers are enough: they are used in conjunction with Roman numerals for music analysis. We use the abbreviated numbers: no figure for a root position triad and the figures 6 and 6/4 for the first and second inversions (a few others will be added when we discuss seventh chords). For example, the label “IV⁶” indicates a first inversion subdominant triad.

The figured bass numbers should not be confused with a practice common in popular music where, for example, a C major triad with an “A” added to it is called a “C6” chord (since the A is a sixth above the C). If you see a “6” after a letter name in a popular song or jazz book it will probably be referring to this “added-sixth chord” and not to a first inversion triad. Pop and jazz musicians don’t use figured bass symbols; they specify a chord inversion by listing the bass note as part of the chord name. C/E, for example, in a pop or jazz score would be a C chord in first inversion, with E in the bass.

Movie 7.13  A bass line indicating a raised third

A sharp symbol is used here to change the dominant chord from minor to major.

Suggested Practica Musica Activities 7.3

• Playing inverted triads: Use the keyboard to play triads in different inversions.

1. The notes of a triad can be rearranged in inversions without changing the basic nature of the chord. The original arrangement as two thirds stacked together is called root position . If the third is placed in the bass that makes the first inversion ; if the fifth is the bass then you have a second inversion . The order of the upper notes does not affect the inversion.

2. Numbers borrowed from the old practice of figured bass are often used in identifying chord inversion. A “6” added to a Roman numeral means “first inversion triad.” “6/4” means a second inversion triad. The numbers refer to the intervals that notes of the chord form with the bass note, disregarding octaves. Outside the context of Roman numeral analysis, however, such as in jazz or pop music, a “6” might be intended to refer to a chord with an added sixth, such as C6.

3. A sharp or flat by itself underneath the bass note refers to a raised or lowered third.

Voicing and Broken Chords

The four-voice chords in the above realizations are harder to recognize than the earlier illustrations of triads, because we have repeated pitches, changed the order of the upper notes, and transposed some by octaves. All these changes are part of voicing Voicing The spacing, doubling, and arrangement of the notes of a chord. Voicing may be altered without changing the harmony. a chord. Changes in voicing affect the chord’s sonority but make no difference to its name or its inversion. We’ll examine chord voicing in more detail, considering doubling and the use of open and close positions.

Vocal harmony is often in four parts. To make a four-part voicing of a triad, it’s of course necessary to double (repeat) one of the pitch classes. The usual choice is to double the root.

Next best is the fifth, and then the third. The third of a major triad is usually not doubled. It's also possible to leave out the fifth and still give the general impression of a triad, though it is incomplete. The root, of course, cannot be omitted without changing the nature of the chord, and the third is necessary to provide the chord's major or minor quality.

Uses Of Close And Open Position

Movie 7.14  Doubling

Movie 7.15  C major chords in close and open position

than that of the tenor. In addition, there needs to be room enough between the voices to allow them to move gracefully in keeping with voice-leading practices covered in Chapter XIII. In piano and orchestra scoring open voicing serves both to meet range requirements and to improve clarity. For example, composers may avoid using close voicing in the bass because small intervals low in pitch can sound “muddy.” Movie 7.16 shows how adding space between the notes of this F major chord makes for a clearer sound.

Movie 7.16  Voicing for clarity

Movie 7.17  Broken chords in J.S. Bach’s Prelude in C major from the Well Tempered Clavier

Broken Or Arpeggiated Chords

Triads and other chords do not always appear as above, with all the notes simultaneous. The notes of a chord are often broken – played successively rather than all at once. Bach’s Prelude in C consists entirely of broken chords Broken Chords A chord whose notes are played in succession (arpeggiated). A broken chord is the opposite of a block chord in which all the notes are played simultaneously. Broken chord accompaniment patterns are very versatile; they can be adapted to a variety of rhythms for any meter. , which also serve as melody:

In classical piano music you will often see accompaniment chords broken into patterned figures called the Alberti bass Alberti bass A broken chord accompaniment in which the notes of a triad follow a certain pattern of running eighth notes or sixteenth notes. Strictly speaking, the Alberti bass pattern is as follows: lowest pitch, highest pitch, middle pitch, repeat highest pitch. The pattern will vary in a triple meter. The Alberti bass is common in Classical era keyboard music. It’s named after the eighteenth century composer Domenico Alberti. , after the 18th-century composer who supposedly invented it. Here’s part of Mozart’s famous Piano Sonata in C major, K. 545:

The word arpeggio Arpeggio A broken chord whose notes are played successively in ascending or descending order. It derives from the way harpists or guitarists sound a chord by drawing a finger across the strings. Arpeggiated chords often serve as accompaniment, but they can also appear as a melodic figure. describes chord notes played successively in ascending or descending order. It derives from the way harpists or guitarists sound a chord by drawing a finger across the strings. Arpeggiated chords often serve as accompaniment, or, as in the example below, a melodic figure.

Movie 7.18  Alberti bass with implied harmony (Mozart, Piano Sonata K. 545)

Movie 7.19  Arpeggiated chords from Mozart’s Piano Sonata K. 545

Suggested Practica Musica Activities 7.4

• Building Inverted Triads: Practice spelling inverted major and minor triads.

Movie 7.20  More ways to present chords

1. Voicing refers to the arrangement of notes within a chord. The voicing of a chord can be altered by inversion, doubling, or spacing .

2. If you double (repeat) any of the notes of a triadic chord, the best one to double is the root. Next best is the fifth. Doubling a major third is usually avoided. The fifth may sometimes be left out of a triadic chord, but the root and third are essential.

3. The upper three notes of a chord in close position are arranged as close together as possible. The notes of an open position chord are more widely spaced.

4. Triadic chords are fundamental to all tonal music, but they usually don’t appear in simple block form. Often they are outlined by a melody or broken into accompaniment patterns like the Alberti bass , or arpeggiated (played as a harp might play them), or broken in countless other ways.

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10.5 Part Writing, Seventh Chords: Theory exercises

In addition to Workbook Chapters 10.5.1, 10.5.2, 10.5.3, 10.5.4, and 10.5.5, see the examples below.

In the first example, we will be connecting V7 and i.

A V7 to I chord in G minor without notes on the staff.

First, build the V7 chord. You can choose to use a complete V7 chord or an incomplete V7 chord (omitting the 5th, scale degree 2). In this example we will use a complete V7 chord. If we were connecting from another chord before the V7, we would place the chordal seventh (scale degree 4) in the voice that would move by common tone or stepwise motion from the chord before it. Dominant function seventh chords use specific scale degree motions to connect between the seventh chord and its resolution, so it is helpful to write in the scale degrees on the V7 chord to help facilitate the correct scale degree motion in each voice.

Part writing the V7 chord in the example in G minor.

Simply move each scale degree to its correct location to resolve the V7 chord. Scale degree 5 goes to 1, 7 goes to 1, 2 goes to 1, and 4 goes to 3.

Part writing from V to I in the musical example in G minor.

Notice that this solution creates an incomplete i chord. It is missing the 5th of the chord. In order to have a complete V7 chord and a complete I chord, the leading tone must resolve down to scale degree 5, but this can only be done if the leading tone is in an inner voice.

Next, let’s look at a leading tone seventh chord. In the example below, we will build a vii˚6/5 chord and resolve it to i.

A musical example in C minor with a vii fully diminished seventh chord in first inversion resolving to a I chord without notes written on the staff.

First, we will build the vii˚7 chord and put it in first inversion. This chord should be complete. Like the V7 chord, leading tone seventh chords use specific scale degree motions to resolve, so write in the scale degrees.

Part writing the vii fully diminished seventh chord in first inversion in the musical example in C minor.

Resolve this chord according to the normal scale degree resolutions: scale degree 7 goes to 1, 2 goes to 1, 4 goes to 3, and 6 goes to 5. Errors are common in vii˚7 chords due to the two tritone intervals. Always check a vii˚7 chord for errors. We can see that resolving according to normal scale degree motion has produced parallel 5ths between the bass and soprano voices.

Part writing the I chord in the musical example in C minor.

To eliminate parallels, scale degree 2 can move to scale degree 3 instead of to scale degree 1. That would change the inversion of the chord to a i6 chord, and would eliminate any part writing errors.

Changing the part writing to resolve to a I chord in first inversion in the musical example in C minor.

Let’s also look at an example of part writing a non-dominant seventh chord.

A musical example in G major with a I chord going to a ii7 chord in first inversion resolving to V without notes on the staff.

First let’s part write I6-ii6/5. The chordal 7th in the ii6/5 chord, G, needs to be approached by common tone or stepwise motion from the I6 chord. It will come from the G in the I6 chord as a common tone. The bass pitch of the ii6/5 chord must be C. That leaves and E and an A left to part write in the ii6/5 chord. In the I6 chord, the tenor voice is the doubled voice. It could be B, or it could be G. Both would move smoothly by step to the A in the ii6/5 chord. Let’s choose B to create contrary motion with the bass.

Part writing the I chord in first inversion leading to the ii7 chord in first inversion in the musical example in G major.

Next, we need to resolve the ii6/5 chord to V. Unlike dominant function seventh chords, non-dominant seventh chords do not use strict scale degree motion to resolve. We need to make sure to resolve the chordal seventh down by step, and all other voices should move by common tone or as stepwise as possible. Make sure to check for errors.

Part writing the V chord in the musical example in G major.

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Reference : identifying triads

Using your knowledge of intervals, you can quickly identify triads. One way to do this is to identify the third and then the fifth. The following table shows the combination of intervals characteristic of each type of triad:

Triad Third Fifth Examples
Major major perfect
Minor minor perfect
Diminished minor diminished
Augmented major augmented

You can also identify the two thirds that make up the chord. The following table shows the combination of intervals characteristic of each type of triad:

Triad First third Second third Examples
Major Major Minor
Minor Minor Major
Diminished Minor Minor
Augmented Major Major

Alternative for identifying triads:

Knowing the type of triad built on each scale degree can help you identify triads quickly.

Here are a few examples:

assignment 7 1 writing scale degree triads

D major. Here the key is G major. The chord is built on the V degree of the scale. Triads formed on the fifth degree of the major scale are major.

assignment 7 1 writing scale degree triads

C minor. Here the key is B flat major. The chord is on the second degree. Triads built on the II degree of major scales are are always minor triads.

assignment 7 1 writing scale degree triads

C# major. There are two ways to identify the type of triad.

  • First, you can see that the key is A major. A triad based on the III degree of the major scale is minor, but here the third of the chord is a major third because it has been raised. Therefore, the triad is major.
  • Or you can notice that the key is F# minor. E# is characteristic of harmonic and melodic minor scales . Therefore, in both cases, the chord based on the V degree is major.

See C > Chord for related entries.

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COMMENTS

  1. Digital Workbook

    Major Scales, Scale Degrees, and Key Signatures: Writing Major Scales (.pdf, .mscz). Asks students to write major scales. All clefs. ... Triads: Triads Assignment #1 (.pdf, .mcsz). Asks students to identify 10 root-position closed-spacing chords with a chord symbol and write 10 chords in root position from a chord symbol. Includes C clefs.

  2. Triads

    Complete the following steps: Draw the root on the staff. Draw notes a third and fifth above the root (i.e., draw a snowperson). Think of (or write down) the major key signature of the triad's root. To spell a major triad, write any accidentals from the key signature that apply to the notes of the triad.

  3. PDF Music 114: Theory I

    Scale degree triads in a tonal context . pp. 132-134 ... • Writing 2:1 counterpoint . For help with chord inversions and figured bass; ... MUS 214 Assignment #7: Due 2/9. Review Summary on p. 177 before doing this assignment . MUS 214 Assignment #8: Due 2/12.

  4. HW7 Triads

    HW7_Triads - Free download as PDF File (.pdf) or read online for free.

  5. PDF Triads

    Triads in the Major Scale Major Triads are built on scale degrees, 1, 4, & 5. They are built by having a M3 with a m3 on top of it. Minor Triads are built on scale degrees, 2,3, & 6. They are built by having a m3 with a M3 on top of it. Diminished Triad is built on scale degree 7. It is made up of two m3's on top of each other

  6. Reference : triads and scales degrees

    Reference : triads and scales degrees. The following table shows the degrees of the scale in which we find each type of triad: Triad. Major Scale. Natural Minor Scale. Harmonic Minor Scale. Melodic Minor Scale. Major.

  7. Triads

    Introduction to Diatonic Modes and the Chromatic "Scale" Writing Modes Assignment #1 ... (Scale Degree 6) in the Bass at Beginnings, Middles, and Endings ... Class II 3; Slonimsky, Nicholas: No. 1266b Quadritonal Arpeggios (Division of Twelve Tones into Four Mutually Exclusive Triads) [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2]: Ginastera ...

  8. Diatonic Triads

    Every major and minor scale has seven special triads, called diatonic triads, which are formed from that scale's notes. ... Scale Degrees; Lesson 14 . Key Signatures; Lesson 15 . An Introduction to Major Scales ... Specific Intervals; Lesson 19 . Introduction Staff and Clefs; Lesson 20 . Writing Intervals; Lesson 21 . Interval Inversion; Lesson ...

  9. 10.2 Part Writing, Root Position Triads and Suspensions: Tutorial

    In example 1, parallel octaves occur. This happens in both major and minor keys. In example 2a, a melodic augmented 2nd is created by motion from scale degree 7 in the V chord to scale degree 6 in the VI chord. This only occurs in minor keys. You can see in example 2b that the augmented 2nd does not occur in a major key.

  10. Triads and seventh chords

    Following are the qualities and scale-degrees belonging to each triad in every major key: I: major - do, mi, sol; ii: minor - re, fa, la; iii: minor - mi, sol, ti; IV: major - fa, la, do; ... As you practice identifying and writing triads, be sure to play the triads, both to check your analysis/writing and to develop the ability to ...

  11. PPTX 1. Pitch and Pitch Class

    scale degree 2, 3, and 6 are always minor triads. scale degree 7 is a diminished triad. ... Chords and Triads. Workbook assignments: 7.1 I A, 7.1 I B, 7.1 II, 7.1 III. Spelling Triads. By Interval ... KEY CONCEPT when playing or writing music from figured bass, use chord tones that are diatonic in the key (that fall within the relevant scale ...

  12. Chapter 10

    The triad built on 1^. Formed from 1^, 3^ (or b3) and 5^- is the most essential element in creating a sense of the key. ... by the soprano ending on a scale degree other than 1^ (ends on 3^ or 5^). (3/5-1) Perfect Authentic Cadence (PAC) A strong conclusive cadence in which (1) root position V or V^(7) progresses to root position I, and (2) the ...

  13. Chapter 7

    These seven triads are identified by the name of their scale degree (tonic, dominant, subdominant, etc.) or by the number of their scale degree in Roman numerals. We use upper and lower-case Roman numerals to distinguish major from minor triads. For instance, in a major scale the triad built on the first note.

  14. 10.5 Part Writing, Seventh Chords: Theory exercises

    Like the V7 chord, leading tone seventh chords use specific scale degree motions to resolve, so write in the scale degrees. Resolve this chord according to the normal scale degree resolutions: scale degree 7 goes to 1, 2 goes to 1, 4 goes to 3, and 6 goes to 5. Errors are common in vii˚7 chords due to the two tritone intervals.

  15. Reference : identifying triads

    Triads built on the II degree of major scales are are always minor triads. C# major. There are two ways to identify the type of triad. First, you can see that the key is A major. A triad based on the III degree of the major scale is minor, but here the third of the chord is a major third because it has been raised. Therefore, the triad is major.

  16. PDF TutorTube: Triads Spring 2019

    A triad built on the 3rd scale degree is major. The 4th scale degree, minor. The 5th scale degree is major if there is a leading tone (raised 7th scale degree) or sometimes can be seen as minor if there is a subtonic instead. This change in note can be seen depending on the use of natural or harmonic minor. The 6th scale degree is major.

  17. Diatonic chords in major and minor keys Flashcards

    Once we move to the second note in the C major scale, D, 2^, We will still count 3 and 5 above D. This means that the triad for ^2 of the c major scale is D F A. This is a minor triad now, because D+1.5=F F+2 = A, so it has a minor 3rd plus a major 3rd. Since D is scale degree two of the C major scale, it is labelled as ii.