# List of tone rows and series

This is a list of tone rows and series. For a list of unordered collections, see set (music), Forte number, list of set classes, and trope (music).

## Twelve tone rows

| Row form | Integers | Interval classes | Notation | Composer: Composition | Year | Hexa-chord I | Hexa-chord II | Derivation/ Combina-toriality |
| P: | 0 1 2 e t 9 5 4 3 6 7 8 | 1 1 3 1 1 4 1 1 3 1 1 | | Anton Webern: Op. 32, later row | un- finished | 6-1 | 6-1 | — |
| I: | 0 e t 1 2 3 7 8 9 6 5 4 | 1 1 3 1 1 4 1 1 3 1 1 | | Anton Webern: Op. 32, later row | un- finished | 6-1 | 6-1 | — |
| P: | 0 1 3 5 6 2 4 8 7 9 e t | 1 2 2 1 4 2 4 1 2 2 1 | | Igor Stravinsky: Abraham & Isaac | 1963 | 6-Z3 | 6-Z36 | — |
| I: | 0 e 9 7 6 t 8 4 5 3 1 2 | 1 2 2 1 4 2 4 1 2 2 1 | | Igor Stravinsky: Abraham & Isaac | 1963 | 6-Z3 | 6-Z36 | — |
| P: | 0 1 3 6 7 9 8 t e 2 4 5 | 1 2 3 1 2 1 2 1 3 2 1 | | Arnold Schoenberg: Serenade, op. 24, mov. 5 | 1920–23 | 6-30 | 6-30 | derived: 3-3 |
| I: | 0 e 9 6 5 3 4 2 1 t 8 7 | 1 2 3 1 2 1 2 1 3 2 1 | | Arnold Schoenberg: Serenade, op. 24, mov. 5 | 1920–23 | 6-30 | 6-30 | derived: 3-3 |
| P: | 0 1 3 8 4 9 t 7 6 5 e 2 | 1 2 5 4 5 1 3 1 1 6 3 | Play | Alban Berg: Kammerkonzert | 1923–25 | 6-Z19 | 6-Z44 | cryptogram: "Schoenberg" |
| I: | 0 e 9 4 8 3 2 5 6 7 1 t | 1 2 5 4 5 1 3 1 1 6 3 | Play | Alban Berg: Kammerkonzert | 1923–25 | 6-Z19 | 6-Z44 | cryptogram: "Schoenberg" |
| P: | 0 1 3 9 2 e 4 t 7 8 5 6 | 1 2 6 5 3 5 6 3 1 3 1 | | Arnold Schoenberg: Suite for Piano, op. 25 | 1921–23 | 6-2 | 6-2 | — |
| I: | 0 e 9 3 t 1 8 2 5 4 7 6 | 1 2 6 5 3 5 6 3 1 3 1 | | Arnold Schoenberg: Suite for Piano, op. 25 | 1921–23 | 6-2 | 6-2 | — |
| P: | 0 1 4 2 9 5 e 3 8 t 7 6 | 1 3 2 5 4 6 4 5 2 3 1 | | Pohlman Mallalieu Robert Morris: Not Lilacs | n.a. 1973 | 6-14 | 6-14 | all-interval, RT6-invariant |
| I: | 0 e 8 t 3 7 1 9 4 2 5 6 | 1 3 2 5 4 6 4 5 2 3 1 | | Pohlman Mallalieu Robert Morris: Not Lilacs | n.a. 1973 | 6-14 | 6-14 | all-interval, RT6-invariant |
| P: | 0 1 4 3 2 5 6 9 8 7 t e | 1 3 1 1 3 1 3 1 1 3 1 | Play | Anton Webern: Variations for Orchestra, Op. 30 | 1940 | 6-1 | 6-1 | all- combinatorial |
| I: | 0 e 8 9 t 7 6 3 4 5 2 1 | 1 3 1 1 3 1 3 1 1 3 1 | Play | Anton Webern: Variations for Orchestra, Op. 30 | 1940 | 6-1 | 6-1 | all- combinatorial |
| P: | 0 1 4 3 2 5 6 9 8 e t 7 | 1 3 1 1 3 1 3 1 3 1 3 | | Igor Stravinsky: Agon, "Pas de deux", "Four trios" | 1957 | 6-1 | 6-1 | all- combinatorial |
| I: | 0 e 8 9 t 7 6 3 4 1 2 5 | 1 3 1 1 3 1 3 1 3 1 3 | | Igor Stravinsky: Agon, "Pas de deux", "Four trios" | 1957 | 6-1 | 6-1 | all- combinatorial |
| P: | 0 1 4 3 7 6 e 2 t 9 5 8 | 1 3 1 4 1 5 3 4 1 4 3 | | Arnold Schoenberg: Die Jakobsleiter | un- finished | 6-Z13 | 6-Z42 | — |
| I: | 0 e 8 9 5 6 1 t 2 3 7 4 | 1 3 1 4 1 5 3 4 1 4 3 | | Arnold Schoenberg: Die Jakobsleiter | un- finished | 6-Z13 | 6-Z42 | — |
| P: | 0 1 4 5 8 7 6 3 2 7 e t | 1 3 1 3 1 1 3 1 5 4 1 | | Walter Piston: Symphony No. 8 (first movement) | 1965 | 6-Z19 | 6-Z44 | — |
| I: | 0 e 8 7 4 5 6 9 t 5 1 2 | 1 3 1 3 1 1 3 1 5 4 1 | | Walter Piston: Symphony No. 8 (first movement) | 1965 | 6-Z19 | 6-Z44 | — |
| P: | 0 1 4 5 7 6 8 9 t e 2 3 | 1 3 1 2 1 2 1 1 1 3 1 | | Roger Reynolds: Ambages | 1965 | 6-5 | 6-5 | — |
| I: | 0 1 4 5 7 6 8 9 t e 2 3 | 1 3 1 2 1 2 1 1 1 3 1 | | Roger Reynolds: Ambages | 1965 | 6-5 | 6-5 | — |
| P: | 0 1 4 6 8 t 5 7 9 e 2 3 | 1 3 2 2 2 5 2 2 2 3 1 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 3 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| I: | 0 e 8 6 4 2 7 5 3 1 t 9 | 1 3 2 2 2 5 2 2 2 3 1 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 3 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| P: | 0 1 4 9 5 8 3 t 2 e 6 7 | 1 3 5 4 3 5 5 4 3 5 1 | | Milton Babbitt: Composition for Twelve Instruments | 1948 | 6-20 | 6-20 | dyadic, tri-, tetra-, and hexa- chordal combina- toriality |
| I: | 0 e 8 3 7 4 9 2 t 1 6 5 | 1 3 5 4 3 5 5 4 3 5 1 | | Milton Babbitt: Composition for Twelve Instruments | 1948 | 6-20 | 6-20 | dyadic, tri-, tetra-, and hexa- chordal combina- toriality |
| P: | 0 1 5 2 6 t 3 8 9 4 7 e | 1 4 3 4 4 5 5 1 5 3 4 | | Edison Denisov: Fünf Geschichten von Herrn Keuner | 1966 | 6-Z43 | 6-Z17 | all-trichord hexachord |
| I: | 0 e 7 t 6 2 9 4 3 8 5 1 | 1 4 3 4 4 5 5 1 5 3 4 | | Edison Denisov: Fünf Geschichten von Herrn Keuner | 1966 | 6-Z43 | 6-Z17 | all-trichord hexachord |
| P: | 0 1 5 8 t 4 3 7 9 2 e 6 | 1 4 3 2 6 1 4 2 5 3 5 | | Luigi Dallapiccola: Quaderno musicale di Annalibera Variazioni per orchestra Canti di Liberazione | 1952 1954 1951–55 | 6-31 | 6-31 | — |
| I: | 0 e 7 4 2 8 9 5 3 t 1 6 | 1 4 3 2 6 1 4 2 5 3 5 | | Luigi Dallapiccola: Quaderno musicale di Annalibera Variazioni per orchestra Canti di Liberazione | 1952 1954 1951–55 | 6-31 | 6-31 | — |
| P: | 0 1 6 2 7 9 3 4 t e 5 8 | 1 5 4 5 2 6 1 6 1 6 3 | | Arnold Schoenberg: Violin Concerto, op. 36 | 1936 | 6-Z50 | 6-Z29 | — |
| I: | 0 e 6 t 5 3 9 8 2 1 7 4 | 1 5 4 5 2 6 1 6 1 6 3 | | Arnold Schoenberg: Violin Concerto, op. 36 | 1936 | 6-Z50 | 6-Z29 | — |
| P: | 0 1 6 2 t 9 4 7 3 8 e 5 | 1 5 4 4 1 5 3 4 5 3 6 | | Arnold Schoenberg: A Survivor from Warsaw | 1947 | 6-15 | 6-15 | — |
| I: | 0 e 6 t 2 3 8 5 9 4 1 7 | 1 5 4 4 1 5 3 4 5 3 6 | | Arnold Schoenberg: A Survivor from Warsaw | 1947 | 6-15 | 6-15 | — |
| P: | 0 1 6 5 7 e 2 t 3 9 8 4 | 1 5 1 2 4 3 4 5 6 1 4 | | Milton Babbitt: All Set | 1957 | 6-7 | 6-7 | second-order all- combinatorial hexachord |
| I: | 0 e 6 7 5 1 t 2 9 3 4 8 | 1 5 1 2 4 3 4 5 6 1 4 | | Milton Babbitt: All Set | 1957 | 6-7 | 6-7 | second-order all- combinatorial hexachord |
| P: | 0 1 7 2 3 9 t 8 6 5 e 4 | 1 6 5 1 6 1 2 2 1 6 5 | | Edison Denisov: Viola concerto | 1986 | 6-Z41 | 6-Z12 | — |
| I: | 0 e 5 t 9 3 2 4 6 7 1 8 | 1 6 5 1 6 1 2 2 1 6 5 | | Edison Denisov: Viola concerto | 1986 | 6-Z41 | 6-Z12 | — |
| P: | 0 1 7 5 6 4 t 8 9 e 2 3 | 1 6 2 1 2 6 2 1 2 3 1 | Play | Arnold Schoenberg: Moses und Aron | un- finished | 6-5 | 6-5 | inversional |
| I: | 0 e 5 7 6 8 2 4 3 1 t 9 | 1 6 2 1 2 6 2 1 2 3 1 | Play | Arnold Schoenberg: Moses und Aron | un- finished | 6-5 | 6-5 | inversional |
| P: | 0 1 7 5 6 e 9 8 t 3 4 2 | 1 6 2 1 5 2 1 2 5 1 2 | | Igor Stravinsky: Movements | 1958–59 | 6-7 | 6-7 | — |
| I: | 0 e 5 7 6 1 3 4 2 9 8 t | 1 6 2 1 5 2 1 2 5 1 2 | | Igor Stravinsky: Movements | 1958–59 | 6-7 | 6-7 | — |
| P: | 0 1 7 6 8 9 3 2 4 5 e t | 1 6 1 2 1 6 1 2 1 6 1 | | Alberto Ginastera: Don Rodrigo, Act I, op. 31 | 1963–64 | 6-5 | 6-5 | — |
| I: | 0 e 5 6 4 3 9 t 8 7 1 2 | 1 6 1 2 1 6 1 2 1 6 1 | | Alberto Ginastera: Don Rodrigo, Act I, op. 31 | 1963–64 | 6-5 | 6-5 | — |
| P: | 0 1 7 9 8 6 3 t 2 5 e 4 | 1 6 2 1 2 3 5 4 3 6 5 | | Karlheinz Stockhausen: Plus-Minus | 1963 (rev. 1974) | 6-5 | 6-5 | — |
| I: | 0 e 5 3 4 6 9 2 t 7 1 8 | 1 6 2 1 2 3 5 4 3 6 5 | | Karlheinz Stockhausen: Plus-Minus | 1963 (rev. 1974) | 6-5 | 6-5 | — |
| P: | 0 1 7 e 8 2 6 5 t 9 3 4 | 1 6 4 3 6 4 1 5 1 6 1 | Play | Schoenberg: "Tot" ["Lifeless"], Drei Lieder, Op. 48 | 1933 | 6-5 | 6-5 | — |
| I: | 0 e 5 1 4 t 6 7 2 3 9 8 | 1 6 4 3 6 4 1 5 1 6 1 | Play | Schoenberg: "Tot" ["Lifeless"], Drei Lieder, Op. 48 | 1933 | 6-5 | 6-5 | — |
| P: | 0 1 8 e 7 3 2 5 4 t 9 6 | 1 5 3 4 4 1 3 1 6 1 3 | | Karlheinz Stockhausen: Zeitmaße | 1955–56 | 6-16 | 6-16 | — |
| I: | 0 e 4 1 5 9 t 7 8 2 3 6 | 1 5 3 4 4 1 3 1 6 1 3 | | Karlheinz Stockhausen: Zeitmaße | 1955–56 | 6-16 | 6-16 | — |
| P: | 0 1 9 e 3 2 6 7 t 8 4 5 | 1 4 2 4 1 4 1 3 2 4 1 | | Anton Webern: Op. 32, row 1 | un- finished | 6-2 | 6-2 | — |
| I: | 0 e 3 1 9 t 6 5 2 4 8 7 | 1 4 2 4 1 4 1 3 2 4 1 | | Anton Webern: Op. 32, row 1 | un- finished | 6-2 | 6-2 | — |
| P: | 0 1 9 e 3 2 7 6 t 8 4 5 | 1 4 2 4 1 5 1 4 2 4 1 | | Anton Webern: Op. 32, row 2 | un- finished | 6-1 | 6-1 | all- combinatorial |
| I: | 0 e 3 1 9 t 5 6 2 4 8 7 | 1 4 2 4 1 5 1 4 2 4 1 | | Anton Webern: Op. 32, row 2 | un- finished | 6-1 | 6-1 | all- combinatorial |
| P: | 0 1 9 e 8 t 4 5 6 2 3 7 | 1 4 2 3 2 6 1 1 4 1 4 | Play | Anton Webern: Variations for piano, mov. II, op. 27 | 1936 | 6-1 | 6-1 | all- combinatorial |
| I: | 0 e 3 1 4 2 8 7 6 t 9 5 | 1 4 2 3 2 6 1 1 4 1 4 | Play | Anton Webern: Variations for piano, mov. II, op. 27 | 1936 | 6-1 | 6-1 | all- combinatorial |
| P: | 0 1 9 e t 7 8 3 4 6 5 2 | 1 4 2 1 3 1 5 1 2 1 3 | | Igor Stravinsky: A Sermon, a Narrative and a Prayer | 1961 | 6-2 | 6-2 | — |
| I: | 0 e 3 1 2 5 4 9 8 6 7 t | 1 4 2 1 3 1 5 1 2 1 3 | | Igor Stravinsky: A Sermon, a Narrative and a Prayer | 1961 | 6-2 | 6-2 | — |
| P: | 0 1 t 2 6 4 5 3 7 e 8 9 | 1 3 4 4 2 1 2 4 4 3 1 | | Luigi Dallapiccola: Dialoghi | | 6-21 | 6-21 | RI-invariant: P0 = RI9 |
| I: | 0 e 2 t 6 8 7 9 5 1 4 3 | 1 3 4 4 2 1 2 4 4 3 1 | | Luigi Dallapiccola: Dialoghi | | 6-21 | 6-21 | RI-invariant: P0 = RI9 |
| P: | 0 1 t 3 4 6 8 9 e 5 7 2 | 1 3 5 1 2 2 1 2 6 2 5 | | Chen Yi: Near Distance | 1988 | 6-Z23 | 6-Z45 | — |
| I: | 0 e 2 9 8 6 4 3 1 7 5 t | 1 3 5 1 2 2 1 2 6 2 5 | | Chen Yi: Near Distance | 1988 | 6-Z23 | 6-Z45 | — |
| P: | 0 1 e 2 t 3 9 4 8 5 7 6 | 1 2 3 4 5 6 5 4 3 2 1 | Play | Luigi Nono: Canti per tredeci Il canto sospeso Composizione per orchestra n. 2: Diario polacco ’58 | 1955 1955–56 1959 | 6-1 | 6-1 | symmetrical all-interval row; all- combinatorial |
| I: | 0 e 1 t 2 9 3 8 4 7 5 6 | 1 2 3 4 5 6 5 4 3 2 1 | Play | Nicolas Slonimsky: Grandmother chord | 1938 | 6-1 | 6-1 | symmetrical all-interval row; all- combinatorial |
| P: | 0 2 1 3 8 7 5 6 4 e 9 t | 2 1 2 5 1 2 1 2 5 2 1 | | Joonas Kokkonen: Symphonic Sketches, mov. 3, row A | 1968 | 6-Z38 | 6-Z6 | — |
| I: | 0 t e 9 4 5 7 6 8 1 3 2 | 2 1 2 5 1 2 1 2 5 2 1 | | Joonas Kokkonen: Symphonic Sketches, mov. 3, row A | 1968 | 6-Z38 | 6-Z6 | — |
| P: | 0 2 1 3 4 6 7 9 8 t 5 e | 2 1 2 1 2 1 2 1 2 5 6 | | Igor Stravinsky: Agon, second coda | 1957 | 6-2 | 6-2 | — |
| I: | 0 t e 9 8 6 5 3 4 2 7 1 | 2 1 2 1 2 1 2 1 2 5 6 | | Igor Stravinsky: coda | 1957 | 6-2 | 6-2 | — |
| P: | 0 2 1 3 4 6 7 9 8 t 5 e | 2 1 2 1 2 1 2 1 2 5 6 | | Igor Stravinsky: The Flood | 1962 | 6-Z12 | 6-Z41 | — |
| I: | 0 t e 5 2 4 3 1 9 8 6 7 | 2 1 2 1 2 1 2 1 2 5 6 | | Igor Stravinsky: The Flood | 1962 | 6-Z12 | 6-Z41 | — |
| P: | 0 2 1 3 4 6 7 9 8 t 5 e | 2 1 2 1 2 1 2 1 2 5 6 | | Luigi Dallapiccola: Requiescant | | 6-5 | 6-5 | RI-invariant: P0 = RI5 |
| I: | 0 t e 5 1 4 3 6 2 8 9 7 | 2 1 2 1 2 1 2 1 2 5 6 | | Luigi Dallapiccola: Requiescant | | 6-5 | 6-5 | RI-invariant: P0 = RI5 |
| P: | 0 2 1 3 4 6 7 9 8 t 5 e | 2 1 2 1 2 1 2 1 2 5 6 | | Alfred Schnittke: String Quartet No. 1 | 1966 | 6-1 | 6-1 | all- combinatorial |
| I: | 0 t e 2 9 1 7 3 8 5 4 6 | 2 1 2 1 2 1 2 1 2 5 6 | | Alfred Schnittke: String Quartet No. 1 | 1966 | 6-1 | 6-1 | all- combinatorial |
| P: | 0 2 3 1 4 5 6 7 8 9 e t | 2 1 2 3 1 1 1 1 1 2 1 | | Alban Berg: Lulu, Schigolch | 1934 | 6-1 | 6-1 | all- combinatorial, derived: 4–1 |
| I: | 0 t 9 e 8 7 6 5 4 3 1 2 | 2 1 2 3 1 1 1 1 1 2 1 | | Alban Berg: Lulu, Schigolch | 1934 | 6-1 | 6-1 | all- combinatorial, derived: 4–1 |
| P: | 0 2 3 5 4 9 7 8 t e 1 6 | 2 1 2 1 5 2 1 2 1 2 5 | | Igor Stravinsky: Agon, "Bransles" | 1957 | 6-Z40 | 6-Z11 | — |
| I: | 0 t 9 7 8 3 5 4 2 1 e 6 | 2 1 2 1 5 2 1 2 1 2 5 | | Igor Stravinsky: Agon, "Bransles" | 1957 | 6-Z40 | 6-Z11 | — |
| P: | 0 2 3 5 7 8 e 4 6 t 8 1 | 2 1 2 2 1 3 5 2 4 2 5 | Play | Alban Berg: "Der Wein" | 1929 | 6-16 | 6-16 | D harmonic minor & in the inverted row-form added-sixth chord with both major and minor third |
| I: | 0 t 9 7 5 4 1 8 6 2 4 e | 2 1 2 2 1 3 5 2 4 2 5 | Play | Alban Berg: "Der Wein" | 1929 | 6-16 | 6-16 | D harmonic minor & in the inverted row-form added-sixth chord with both major and minor third |
| P: | 0 2 3 6 8 t 5 7 9 e 1 4 | 2 1 3 2 2 5 2 2 2 2 3 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 2 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| I: | 0 t 9 6 4 2 7 5 3 1 e 8 | 2 1 3 2 2 5 2 2 2 2 3 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 2 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| P: | 0 2 4 5 8 t 6 7 9 e 1 3 | 2 2 1 3 2 4 1 2 2 2 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 1 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| I: | 0 t 8 7 4 2 6 5 3 1 e 9 | 2 2 1 3 2 4 1 2 2 2 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 1 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| P: | 0 2 4 6 7 t 5 8 9 e 1 3 | 2 2 2 1 3 5 3 1 2 2 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 6 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| I: | 0 t 8 6 5 2 7 4 3 1 e 9 | 2 2 2 1 3 5 3 1 2 2 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 6 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| P: | 0 2 4 6 8 9 5 7 t e 1 3 | 2 2 2 2 1 4 2 3 1 2 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 5 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| I: | 0 t 8 6 4 3 7 5 2 1 e 9 | 2 2 2 2 1 4 2 3 1 2 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 5 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| P: | 0 2 4 6 t 8 e 7 9 1 3 5 | 2 2 2 4 2 3 4 2 4 2 2 | | Alban Berg: Lulu | 1934 | 6-35 | 6-35 | — |
| I: | 0 t 8 6 2 4 1 5 3 e 9 7 | 2 2 2 4 2 3 4 2 4 2 2 | | Alban Berg: Lulu | 1934 | 6-35 | 6-35 | — |
| P: | 0 2 5 3 t 4 6 1 e 7 8 9 | 2 3 2 5 6 2 5 2 4 1 1 | | Igor Stravinsky: Variations | 1963–64 | 6-9 | 6-9 | — |
| I: | 0 t 7 9 2 8 6 e 1 5 4 3 | 2 3 2 5 6 2 5 2 4 1 1 | | Igor Stravinsky: Variations | 1963–64 | 6-9 | 6-9 | — |
| P: | 0 2 6 4 t 9 7 e 8 5 1 3 | 2 4 2 6 1 2 4 3 3 4 2 | | Arnold Schoenberg: Piano Piece [Klavierstück], op. 33b | 1931 | 6-34 | 6-34 | — |
| I: | 0 t 6 8 2 3 5 1 4 7 e 9 | 2 4 2 6 1 2 4 3 3 4 2 | | Arnold Schoenberg: Piano Piece [Klavierstück], op. 33b | 1931 | 6-34 | 6-34 | — |
| P: | 0 2 6 t 4 7 8 3 5 9 e 1 | 2 4 4 6 3 1 5 2 4 2 2 | Play | Alban Berg: Lulu, Schoolboy | 1934 | 6-34 | 6-34 | — |
| I: | 0 t 6 2 8 5 4 9 7 3 1 e | 2 4 4 6 3 1 5 2 4 2 2 | Play | Alban Berg: Lulu, Schoolboy | 1934 | 6-34 | 6-34 | — |
| P: | 0 2 9 e 8 6 5 7 t 1 4 3 | 2 5 2 3 2 1 2 3 3 3 1 | | Igor Stravinsky: The Owl and the Pussy Cat | 1966 | 6-Z23 | 6-Z45 | — |
| I: | 0 t 3 1 4 6 7 5 2 e 8 9 | 2 5 2 3 2 1 2 3 3 3 1 | | Igor Stravinsky: The Owl and the Pussy Cat | 1966 | 6-Z23 | 6-Z45 | — |
| P: | 0 7 6 5 8 9 4 3 t e 2 1 | 5 1 1 3 1 5 1 5 1 3 1 | | Karel Goeyvaerts: Nummer 2 | 1951 | 6-Z36 | 6-Z3 | — |
| I: | 0 5 6 7 4 3 8 9 2 1 t e | 5 1 1 3 1 5 1 5 1 3 1 | | Karel Goeyvaerts: Nummer 2 | 1951 | 6-Z36 | 6-Z3 | — |
| P: | 0 2 t e 1 8 6 7 9 4 3 5 | 2 4 1 2 5 2 1 2 5 1 2 | Play P | Igor Stravinsky: Requiem Canticles, 1st series | 1966 | 6-2 | 6-2 | — |
| I: | 0 t 2 1 e 4 6 5 3 8 9 7 | 2 4 1 2 5 2 1 2 5 1 2 | Play P | Igor Stravinsky: Requiem Canticles, 1st series | 1966 | 6-2 | 6-2 | — |
| P: | 0 2 e 9 t 1 3 6 4 5 7 8 | 2 3 2 1 3 2 3 2 1 2 1 | | Joonas Kokkonen: Woodwind Quintet, mov. 1 & 2, row A & B | 1973 | 6-1 | 6-1 | all- combinatorial |
| I: | 0 t 1 3 2 e 9 6 8 7 5 4 | 2 3 2 1 3 2 3 2 1 2 1 | | Joonas Kokkonen: Woodwind Quintet, mov. 1 & 2, row A & B | 1973 | 6-1 | 6-1 | all- combinatorial |
| P: | 0 2 e 9 t 4 3 7 5 6 8 1 | 2 3 2 1 6 1 4 2 1 2 5 | | Arnold Schoenberg: Dreimal Tausend Jahre, Op. 50a | 1949 | 6-9 | 6-9 | — |
| I: | 0 t 1 3 2 8 9 5 7 6 4 e | 2 3 2 1 6 1 4 2 1 2 5 | | Arnold Schoenberg: Dreimal Tausend Jahre, Op. 50a | 1949 | 6-9 | 6-9 | — |
| P: | 0 3 1 2 4 7 5 6 8 e 9 t | 3 2 1 2 3 2 1 2 3 2 1 | | Arvo Pärt: Symphony No. 2 | 1966 | 6-Z36 | 6-Z3 | derived: 4–1 |
| I: | 0 9 e t 8 5 7 6 4 1 3 2 | 3 2 1 2 3 2 1 2 3 2 1 | | Arvo Pärt: Symphony No. 2 | 1966 | 6-Z36 | 6-Z3 | derived: 4–1 |
| P: | 0 3 1 2 e t 8 9 5 7 6 4 | 3 2 1 3 1 2 1 4 2 1 2 | | Milton Babbitt: Woodwind Quartet | 1953 | 6-1 | 6-1 | — |
| I: | 0 9 e t 1 2 4 3 7 5 6 8 | 3 2 1 3 1 2 1 4 2 1 2 | | Milton Babbitt: Woodwind Quartet | 1953 | 6-1 | 6-1 | — |
| P: | 0 3 1 6 2 4 t 5 9 7 8 e | 3 2 5 4 2 6 5 4 2 1 3 | | Ernst Krenek: Sechs Vermessene, Op. 168 | 1958 | 6-2 | 6-2 | — |
| I: | 0 9 e 6 t 8 2 7 3 5 4 1 | 3 2 5 4 2 6 5 4 2 1 3 | | Ernst Krenek: Sechs Vermessene, Op. 168 | 1958 | 6-2 | 6-2 | — |
| P: | 0 3 1 6 2 t 9 8 e 7 5 4 | 3 2 5 4 4 1 1 3 4 2 1 | | Ernst Krenek: Karl V | 1938 | 6-Z39 | 6-Z10 | — |
| I: | 0 9 e 6 t 2 3 4 1 5 7 8 | 3 2 5 4 4 1 1 3 4 2 1 | | Ernst Krenek: Karl V | 1938 | 6-Z39 | 6-Z10 | — |
| P: | 0 3 1 t 2 8 e 5 6 9 7 4 | 3 2 3 4 6 3 6 1 3 2 3 | | Donald Martino: Fantasy Variations | 1962 | 6-9 | 6-9 | — |
| I: | 0 9 e 2 t 4 1 7 6 3 5 8 | 3 2 3 4 6 3 6 1 3 2 3 | | Donald Martino: Fantasy Variations | 1962 | 6-9 | 6-9 | — |
| P: | 0 3 2 1 4 8 e 5 t 7 6 9 | 3 1 1 3 4 3 6 5 3 1 3 | | Benjamin Frankel: The Curse of the Werewolf | 1961 | 6-Z37 | 6-Z4 | — |
| I: | 0 9 t e 8 4 1 7 2 5 6 3 | 3 1 1 3 4 3 6 5 3 1 3 | | Benjamin Frankel: The Curse of the Werewolf | 1961 | 6-Z37 | 6-Z4 | — |
| P: | 0 3 2 9 7 8 e 6 1 5 4 t | 3 1 5 2 1 3 5 5 4 1 6 | | Karlheinz Stockhausen: "Aries", from Tierkreis | 1974–75 | 6-18 | 6-18 | — |
| I: | 0 9 t 3 5 4 1 6 e 7 8 2 | 3 1 5 2 1 3 5 5 4 1 6 | | Karlheinz Stockhausen: "Aries", from Tierkreis | 1974–75 | 6-18 | 6-18 | — |
| P: | 0 3 2 1 5 4 t e 7 8 9 6 | 3 1 1 4 1 6 1 4 1 1 3 | | Anton Webern: Symphony, Op. 21 | 1928 | 6-1 | 6-1 | all- combinatorial |
| I: | 0 9 t e 7 8 2 1 5 4 3 6 | 3 1 1 4 1 6 1 4 1 1 3 | | Anton Webern: Symphony, Op. 21 | 1928 | 6-1 | 6-1 | all- combinatorial |
| P: | 0 3 4 6 e 8 7 t 9 5 1 2 | 3 1 2 5 3 1 3 1 4 4 1 | | Igor Stravinsky: Agon, "Mystery" (sketches only) | 1957 | 6-31 | 6-31 | — |
| I: | 0 9 8 6 1 4 5 2 3 7 e t | 3 1 2 5 3 1 3 1 4 4 1 | | Igor Stravinsky: Agon, "Mystery" (sketches only) | 1957 | 6-31 | 6-31 | — |
| P: | 0 3 5 1 2 6 4 e 7 8 e 9 | 3 2 4 1 4 2 5 4 1 3 2 | | Karlheinz Stockhausen: Klavierstück IV (second row of 48) | 1952 | 6-Z3 | 6-Z36 | — |
| I: | 0 9 7 e t 6 8 1 5 4 1 3 | 3 2 4 1 4 2 5 4 1 3 2 | | Karlheinz Stockhausen: Klavierstück IV (second row of 48) | 1952 | 6-Z3 | 6-Z36 | — |
| P: | 0 3 5 4 e t 9 8 7 6 2 1 | 3 2 1 5 1 1 1 1 1 4 1 | | Karlheinz Stockhausen: "Aquarius", from Tierkreis | 1974–75 | 6-Z6 | 6-Z38 | — |
| I: | 0 9 7 8 1 2 3 4 5 6 t e | 3 2 1 5 1 1 1 1 1 4 1 | | Karlheinz Stockhausen: "Aquarius", from Tierkreis | 1974–75 | 6-Z6 | 6-Z38 | — |
| P: | 0 3 5 7 9 e 6 8 t 1 2 4 | 3 2 2 2 2 5 2 2 3 1 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 4 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| I: | 0 9 7 5 3 1 6 4 2 e t 8 | 3 2 2 2 2 5 2 2 3 1 2 | | Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 4 | 1940–41 | 6-34 | 6-34 | RI-symmetry |
| P: | 0 3 7 e 2 5 9 1 4 6 8 t | 3 4 4 3 3 4 4 3 2 2 2 | Play | Alban Berg: Violin Concerto | 1935 | 6-Z24 | 6-Z46 | — |
| I: | 0 9 5 1 t 7 3 e 8 6 4 2 | 3 4 4 3 3 4 4 3 2 2 2 | Play | Alban Berg: Violin Concerto | 1935 | 6-Z24 | 6-Z46 | — |
| P: | 0 3 e 2 t 1 9 5 8 4 7 6 | 3 4 3 4 3 4 4 3 4 3 1 | | Anton Webern: "Erlösung" from Drei Lieder, Op. 18, No. 2 | 1910–13 | 6-1 | 6-1 | all- combinatorial |
| I: | 0 9 1 t 2 e 3 7 4 8 5 6 | 3 4 3 4 3 4 4 3 4 3 1 | | Anton Webern: "Erlösung" from Drei Lieder, Op. 18, No. 2 | 1910–13 | 6-1 | 6-1 | all- combinatorial |
| P: | 0 3 e 4 2 1 7 8 t 5 9 6 | 3 4 5 2 1 6 1 2 5 4 3 | | Ernst Krenek: Quaestio temporis, Op. 170 | 1959 | 6-1 | 6-1 | all- combinatorial retrograde-symmetry |
| I: | 0 9 1 8 t e 5 4 2 7 3 6 | 3 4 5 2 1 6 1 2 5 4 3 | | Ernst Krenek: Quaestio temporis, Op. 170 | 1959 | 6-1 | 6-1 | all- combinatorial retrograde-symmetry |
| P: | 0 3 e t 2 9 1 5 4 8 7 6 | 3 4 1 4 5 4 4 1 4 1 1 | | Anton Webern: Op. 31 | 1941–43 | 6-Z3 | 6-Z36 | — |
| I: | 0 9 1 2 t 3 e 7 8 4 5 6 | 3 4 1 4 5 4 4 1 4 1 1 | | Anton Webern: Op. 31 | 1941–43 | 6-Z3 | 6-Z36 | — |
| P: | 0 4 1 8 5 9 3 e 2 7 t 6 | 4 3 5 3 4 6 4 3 5 3 4 | | Milton Babbitt: Composition for Four Instruments, row iv | 1948 | 6–20 | 6–20 | all- combinatorial hexachord |
| I: | 0 8 e 4 7 3 9 1 t 5 2 6 | 4 3 5 3 4 6 4 3 5 3 4 | | Milton Babbitt: Composition for Four Instruments, row iv | 1948 | 6–20 | 6–20 | all- combinatorial hexachord |
| P: | 0 4 1 e 3 2 8 6 5 t 7 9 | 4 3 2 4 1 6 2 1 5 3 2 | | Milton Babbitt: Composition for Four Instruments | 1948 | 6–1 | 6–1 | all- combinatorial hexachord |
| I: | 0 8 e 1 9 t 4 6 7 2 5 3 | 4 3 2 4 1 6 2 1 5 3 2 | | Milton Babbitt: Composition for Four Instruments | 1948 | 6–1 | 6–1 | all- combinatorial hexachord |
| P: | 0 4 2 5 7 8 t 9 e 1 6 3 | 4 2 3 2 1 2 1 2 2 5 3 | | Igor Stravinsky: Anthem | 1962 | 6–33 | 6–33 | — |
| I: | 0 8 t 7 5 4 2 3 1 e 6 9 | 4 2 3 2 1 2 1 2 2 5 3 | | Igor Stravinsky: Anthem | 1962 | 6–33 | 6–33 | — |
| P: | 0 4 3 2 5 6 t e 9 1 7 8 | 4 1 1 3 1 4 1 2 4 6 1 | | Karlheinz Stockhausen: Licht, Eve formula | 1977– 2003 | 6–2 | 6–2 | — |
| I: | 0 8 9 t 7 6 2 1 3 e 5 4 | 4 1 1 3 1 4 1 2 4 6 1 | | Karlheinz Stockhausen: Licht, Eve formula | 1977– 2003 | 6–2 | 6–2 | — |
| P: | 0 4 3 7 e 8 9 6 5 1 2 t | 4 1 4 4 3 1 3 1 4 1 4 | | Arnold Schoenberg: Ode to Napoleon Buonaparte Suite Op. 29 Luigi Nono: Variazioni canoniche sulla serie dell'op. 41 di Arnold Schönberg | 1942 1926 1950 | 6–20 | 6–20 | all- combinatorial |
| I: | 0 8 9 5 1 4 3 6 7 e t 2 | 4 1 4 4 3 1 3 1 4 1 4 | | Arnold Schoenberg: Ode to Napoleon Buonaparte Suite Op. 29 Luigi Nono: Variazioni canoniche sulla serie dell'op. 41 di Arnold Schönberg | 1942 1926 1950 | 6–20 | 6–20 | all- combinatorial |
| P: | 0 4 3 8 7 e 5 1 2 9 t 6 | 4 1 5 1 4 6 4 1 5 1 4 | | Milton Babbitt: Composition for Four Instruments, row iii | 1948 | 6–20 | 6–20 | all- combinatorial hexachord |
| I: | 0 8 9 4 5 1 7 e t 3 2 6 | 4 1 5 1 4 6 4 1 5 1 4 | | Milton Babbitt: Composition for Four Instruments, row iii | 1948 | 6–20 | 6–20 | all- combinatorial hexachord |
| P: | 0 4 3 e 7 8 t 9 2 5 1 6 | 4 1 4 4 1 2 1 5 3 4 5 | | Karlheinz Stockhausen: "Scorpio", from Tierkreis | 1974–75 | 6–20 | 6–20 | — |
| I: | 0 8 9 1 5 4 2 3 t 7 e 6 | 4 1 4 4 1 2 1 5 3 4 5 | | Karlheinz Stockhausen: "Scorpio", from Tierkreis | 1974–75 | 6–20 | 6–20 | — |
| P: | 0 4 3 e t 9 1 7 8 6 2 5 | 4 1 4 1 1 4 6 1 2 4 3 | | Ernst Krenek: Suite, Op. 84 for solo cello | | 6–5 | 6–5 | — |
| I: | 0 8 9 1 2 3 e 5 4 6 t 7 | 4 1 4 1 1 4 6 1 2 4 3 | | Ernst Krenek: Suite, Op. 84 for solo cello | | 6–5 | 6–5 | — |
| P: | 0 4 5 2 6 7 8 9 e t 3 1 | 4 1 3 4 1 1 1 2 1 5 2 | | Alban Berg: Lulu | 1934 | 6–9 | 6–9 | — |
| I: | 0 8 7 t 6 5 4 3 1 2 9 e | 4 1 3 4 1 1 1 2 1 5 2 | | Alban Berg: Lulu | 1934 | 6–9 | 6–9 | — |
| P: | 0 4 5 2 7 9 6 8 e t 3 1 | 4 1 3 5 2 3 2 3 1 5 2 | Play | Alban Berg: Lulu, Basic | 1934 | 6–32 | 6–32 | circle of fifths |
| I: | 0 8 7 t 5 3 6 4 1 2 9 e | 4 1 3 5 2 3 2 3 1 5 2 | Play | Alban Berg: Lulu, Basic | 1934 | 6–32 | 6–32 | circle of fifths |
| P: | 0 4 5 e 6 t 7 3 1 2 9 8 | 4 1 6 5 4 3 4 2 1 5 1 | | Milton Babbitt: All Set | 1957 | 6–7 | 6–7 | second-order all- combinatorial hexachord |
| I: | 0 8 7 1 6 2 5 9 e t 3 4 | 4 1 6 5 4 3 4 2 1 5 1 | | Milton Babbitt: All Set | 1957 | 6–7 | 6–7 | second-order all- combinatorial hexachord |
| P: | 0 4 5 t 7 6 1 8 e 2 9 3 | 4 1 5 3 1 5 5 3 3 5 6 | | Karlheinz Stockhausen: "Gemini", from Tierkreis | 1974–75 | 6-Z41 | 6-Z12 | — |
| I: | 0 8 7 2 5 6 e 4 1 t 3 9 | 4 1 5 3 1 5 5 3 3 5 6 | | Karlheinz Stockhausen: "Gemini", from Tierkreis | 1974–75 | 6-Z41 | 6-Z12 | — |
| P: | 0 4 8 9 3 2 t e 7 6 5 1 | 4 4 1 6 1 4 1 4 1 1 4 | | Robert Moevs: Three Symphonic Pieces, mov. 2 | 1954–55 | 6-Z17 | 6-Z43 | all-trichord hexachord |
| I: | 0 8 4 3 9 t 2 1 5 6 7 e | 4 4 1 6 1 4 1 4 1 1 4 | | Robert Moevs: Three Symphonic Pieces, mov. 2 | 1954–55 | 6-Z17 | 6-Z43 | all-trichord hexachord |
| P: | 0 4 t 6 3 8 7 2 5 9 1 e | 4 6 4 3 5 1 5 3 4 4 2 | | Juan Carlos Paz: Canciones y Baladas, Balada II | 1936 | 6–34 | 6–34 | — |
| I: | 0 8 2 6 9 4 5 t 7 3 e 1 | 4 6 4 3 5 1 5 3 4 4 2 | | Juan Carlos Paz: Canciones y Baladas, Balada II | 1936 | 6–34 | 6–34 | — |
| P: | 0 5 1 2 3 9 8 t 4 e 6 7 | 5 4 1 1 6 1 2 6 5 5 1 | | Alban Berg: Lulu, Chorale | 1934 | 6-Z39 | 6-Z10 | — |
| I: | 0 7 e t 9 3 4 2 8 1 6 5 | 5 4 1 1 6 1 2 6 5 5 1 | | Alban Berg: Lulu, Chorale | 1934 | 6-Z39 | 6-Z10 | — |
| P: | 0 5 1 4 2 3 9 8 t 7 e 6 | 5 4 3 2 1 6 1 2 3 4 5 | | Michael Gielen: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano | 1958 | 6–1 | 6–1 | retrograde-symmetrical all-interval row, all- combinatorial hexachords |
| I: | 0 7 e 8 t 9 3 4 2 5 1 6 | 5 4 3 2 1 6 1 2 3 4 5 | | Michael Gielen: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano | 1958 | 6–1 | 6–1 | retrograde-symmetrical all-interval row, all- combinatorial hexachords |
| P: | 0 5 1 4 t 8 e 9 3 6 2 7 | 5 4 3 6 2 3 2 6 3 4 5 | | Alfred Schnittke: Concerto Grosso No. 3 | 1985 | 6–31 | 6–31 | — |
| I: | 0 7 e 8 2 4 1 3 9 6 t 5 | 5 4 3 6 2 3 2 6 3 4 5 | | Alfred Schnittke: Concerto Grosso No. 3 | 1985 | 6–31 | 6–31 | — |
| P: | 0 5 2 7 4 9 6 e 8 1 t 3 | 5 3 5 3 5 3 5 3 5 3 5 | | Benjamin Britten: The Turn of the Screw | 1954 | 6–32 | 6–32 | — |
| I: | 0 7 t 5 8 3 6 1 4 e 2 9 | 5 3 5 3 5 3 5 3 5 3 5 | | Benjamin Britten: The Turn of the Screw | 1954 | 6–32 | 6–32 | — |
| P: | 0 5 2 7 t 1 e 4 6 8 9 3 | 5 3 5 3 3 2 5 2 2 1 6 | | Dmitri Shostakovich: Symphony No. 14, mov. III | 1969 | 6-Z47 | 6-Z25 | — |
| I: | 0 7 t 5 2 e 1 8 6 4 3 9 | 5 3 5 3 3 2 5 2 2 1 6 | | Dmitri Shostakovich: Symphony No. 14, mov. III | 1969 | 6-Z47 | 6-Z25 | — |
| P: | 0 5 2 t 1 7 8 6 e 4 9 3 | 5 3 4 3 6 1 2 5 5 5 6 | | Alban Berg: Lulu, Countess Geschwitz | 1934 | 6-Z47 | 6-Z25 | — |
| I: | 0 7 t 2 e 5 4 6 1 8 3 9 | 5 3 4 3 6 1 2 5 5 5 6 | | Alban Berg: Lulu, Countess Geschwitz | 1934 | 6-Z47 | 6-Z25 | — |
| P: | 0 5 4 7 t 6 e 8 1 9 2 3 | 5 1 3 3 4 5 3 5 4 5 1 | | Igor Stravinsky: Threni | 1958 | 6-Z41 | 6-Z12 | — |
| I: | 0 7 8 5 2 6 1 4 e 3 t 9 | 5 1 3 3 4 5 3 5 4 5 1 | | Igor Stravinsky: Threni | 1958 | 6-Z41 | 6-Z12 | — |
| P: | 0 5 7 4 2 3 9 1 8 e t 6 | 5 2 3 2 1 6 4 5 3 1 4 | | Milton Babbitt: Three Compositions for Piano, no. I | 1947 | 6–8 | 6–8 | — |
| I: | 0 7 5 8 t 9 3 e 4 1 2 6 | 5 2 3 2 1 6 4 5 3 1 4 | | Milton Babbitt: Three Compositions for Piano, no. I | 1947 | 6–8 | 6–8 | — |
| P: | 0 5 7 6 e 3 4 2 9 8 t 1 | 5 2 1 5 4 1 2 5 1 2 3 | | Alban Berg: Lulu, Acrobat/Athlete | 1934 | 6-Z17 | 6-Z43 | all-trichord hexachord |
| I: | 0 7 5 6 1 9 8 t 3 4 2 e | 5 2 1 5 4 1 2 5 1 2 3 | | Alban Berg: Lulu, Acrobat/Athlete | 1934 | 6-Z17 | 6-Z43 | all-trichord hexachord |
| P: | 0 5 9 t 4 7 6 e 1 2 8 3 | 5 4 1 6 3 1 5 2 1 6 5 | Play | Alban Berg: Lulu, Dr. Schön | 1934 | 6-Z25 | 6-Z47 | — |
| I: | 0 7 3 2 8 5 6 1 e t 4 9 | 5 4 1 6 3 1 5 2 1 6 5 | Play | Alban Berg: Lulu, Dr. Schön | 1934 | 6-Z25 | 6-Z47 | — |
| P: | 0 5 e 6 3 2 8 7 9 t 4 1 | 5 6 5 3 1 6 1 2 1 6 3 | | Karlheinz Stockhausen: "Leo", from Tierkreis | 1974–75 | 6Z-13 | 6-Z42 | — |
| I: | 0 7 1 6 9 t 4 5 3 2 8 e | 5 6 5 3 1 6 1 2 1 6 3 | | Karlheinz Stockhausen: "Leo", from Tierkreis | 1974–75 | 6Z-13 | 6-Z42 | — |
| P: | 0 6 4 2 8 9 3 1 e t 7 5 | 6 2 2 6 1 6 2 2 1 3 2 | | Igor Stravinsky: Elegy for J.F.K. | 1964 | 6–34 | 6–34 | — |
| I: | 0 6 8 t 4 3 9 e 1 2 5 7 | 6 2 2 6 1 6 2 2 1 3 2 | | Igor Stravinsky: Elegy for J.F.K. | 1964 | 6–34 | 6–34 | — |
| P: | 0 6 4 3 2 9 t 5 7 8 e 1 | 6 2 1 1 5 1 5 2 1 3 2 | | Karel Husa: Mosaïques | 1960 | 6-Z45 | 6-Z23 | — |
| I: | 0 6 8 9 t 3 2 7 5 4 1 e | 6 2 1 1 5 1 5 2 1 3 2 | | Karel Husa: Mosaïques | 1960 | 6-Z45 | 6-Z23 | — |
| P: | 0 6 5 1 e 7 4 8 9 3 2 t | 6 1 4 2 4 3 4 1 6 1 4 | | Arnold Schoenberg: "De Profundis", Op. 50b | 1950 | 6–7 | 6–7 | — |
| I: | 0 6 7 e 1 5 8 4 3 9 t 2 | 6 1 4 2 4 3 4 1 6 1 4 | | Arnold Schoenberg: "De Profundis", Op. 50b | 1950 | 6–7 | 6–7 | — |
| P: | 0 6 5 2 3 4 7 8 9 t e 1 | 6 1 3 1 1 3 1 1 1 1 2 | | Karlheinz Stockhausen: "Sagittarius", from Tierkreis | 1974–75 | 6–2 | 6–2 | — |
| I: | 0 6 7 t 9 8 5 4 3 2 1 e | 6 1 3 1 1 3 1 1 1 1 2 | | Karlheinz Stockhausen: "Sagittarius", from Tierkreis | 1974–75 | 6–2 | 6–2 | — |
| P: | 0 6 5 e t 4 3 9 8 2 1 7 | 6 1 6 1 6 1 6 1 6 1 6 | | Witold Lutosławski: Musique funèbre (Funeral Music) | 1954–58 | 6–7 | 6–7 | — |
| I: | 0 6 7 1 2 8 9 3 4 t e 5 | 6 1 6 1 6 1 6 1 6 1 6 | | Witold Lutosławski: Musique funèbre (Funeral Music) | 1954–58 | 6–7 | 6–7 | — |
| P: | 0 6 7 8 9 1 2 5 e 4 t 3 | 6 1 1 1 4 1 3 6 5 6 5 | | Wolfgang Amadeus Mozart: String Quartet in E♭ major, K. 428 first movement, opening of development section | | 6–5 | 6–5 | — |
| I: | 0 6 5 4 3 e t 7 1 8 2 9 | 6 1 1 1 4 1 3 6 5 6 5 | | Wolfgang Amadeus Mozart: String Quartet in E♭ major, K. 428 first movement, opening of development section | | 6–5 | 6–5 | — |
| P: | 0 6 8 5 7 e 4 3 9 t 1 2 | 6 2 3 2 4 5 1 6 1 3 1 | Play | Arnold Schoenberg: Variations, Op. 31 | 1926–28 | 6–5 | 6–5 | Bach motif |
| I: | 0 6 4 7 5 1 8 9 3 2 e t | 6 2 3 2 4 5 1 6 1 3 1 | Play | Arnold Schoenberg: Variations, Op. 31 | 1926–28 | 6–5 | 6–5 | Bach motif |
| P: | 0 6 8 t 2 4 9 5 3 e 7 1 | 6 2 2 4 2 5 4 2 4 4 6 | | Arnold Schoenberg: Three Songs, Op. 48 | 1933 | 6–35 | 6–35 | — |
| I: | 0 6 4 2 t 8 3 7 9 1 5 e | 6 2 2 4 2 5 4 2 4 4 6 | | Arnold Schoenberg: Three Songs, Op. 48 | 1933 | 6–35 | 6–35 | — |
| P: | 0 6 9 2 8 t 4 7 1 e 3 5 | 6 3 5 6 2 6 3 6 2 4 2 | | Josef Matthias Hauer: Salambo, op. 60 | 1929 | 6-21 | 6-21 | — |
| I: | 0 6 3 t 4 2 8 5 e 1 9 7 | 6 3 5 6 2 6 3 6 2 4 2 | | Josef Matthias Hauer: Salambo, op. 60 | 1929 | 6-21 | 6-21 | — |
| P: | 0 6 t 7 9 8 3 2 4 1 5 e | 6 4 3 2 1 5 1 2 3 4 6 | | Michel Fano: Sonata for Two Pianos | 1951 | 6-Z3 | 6-Z36 | retrograde-symmetry |
| I: | 0 6 2 5 3 4 9 t 8 e 7 1 | 6 4 3 2 1 5 1 2 3 4 6 | | Michel Fano: Sonata for Two Pianos | 1951 | 6-Z3 | 6-Z36 | retrograde-symmetry |
| P: | 0 6 t 8 4 7 2 5 1 e 3 9 | 6 4 2 4 3 5 3 4 2 4 6 | | Ben Johnston: String Quartet No. 7, mov. 2 | 1984 | 6–21 | 6–21 | just intonation: otonality & utonality |
| I: | 0 6 2 4 8 5 t 7 e 1 9 3 | 6 4 2 4 3 5 3 4 2 4 6 | | Ben Johnston: String Quartet No. 7, mov. 2 | 1984 | 6–21 | 6–21 | just intonation: otonality & utonality |
| P: | 0 7 1 t e 9 5 8 4 3 2 6 | 5 6 3 1 2 4 3 4 1 1 4 | | Karlheinz Stockhausen: Klavierstück IV (third row of 48) | 1952 | 6–2 | 6–2 | — |
| I: | 0 5 e 2 1 3 7 4 8 9 t 6 | 5 6 3 1 2 4 3 4 1 1 4 | | Karlheinz Stockhausen: Klavierstück IV (third row of 48) | 1952 | 6–2 | 6–2 | — |
| P: | 0 7 2 1 e 8 3 5 9 t 4 6 | 5 5 1 2 3 5 2 4 1 6 2 | Play | Arnold Schoenberg: Piano Piece, op. 33a | 1928 | 6–5 | 6–5 | — |
| I: | 0 5 t e 1 4 9 7 3 2 8 6 | 5 5 1 2 3 5 2 4 1 6 2 | Play | Arnold Schoenberg: Piano Piece, op. 33a | 1928 | 6–5 | 6–5 | — |
| P: | 0 7 3 t 2 6 9 1 4 8 e 5 | 5 4 5 4 4 3 4 3 4 3 6 | | Alberto Ginastera: Quintet, op. 29 | 1963 | 6–31 | 6–31 | — |
| I: | 0 5 9 2 t 6 3 e 8 4 1 7 | 5 4 5 4 4 3 4 3 4 3 6 | | Alberto Ginastera: Quintet, op. 29 | 1963 | 6–31 | 6–31 | — |
| P: | 0 7 4 e 6 t 3 9 1 8 5 2 | 5 3 5 5 4 5 6 4 5 3 3 | | Elliott Carter: Piano Concerto, Orchestra | 1964–65 | 6-Z43 | 6-Z17 | all-trichord hexachord; ordered in register |
| I: | 0 5 8 1 6 2 9 3 e 4 7 t | 5 3 5 5 4 5 6 4 5 3 3 | | Elliott Carter: Piano Concerto, Orchestra | 1964–65 | 6-Z43 | 6-Z17 | all-trichord hexachord; ordered in register |
| P: | 0 7 6 4 5 9 8 t 3 1 e 2 | 5 1 2 1 4 1 2 5 2 2 3 | | Igor Stravinsky: Requiem Canticles, 2nd series | 1966 | 6-Z40 | 6-Z11 | — |
| I: | 0 5 6 8 7 3 4 2 9 e 1 t | 5 1 2 1 4 1 2 5 2 2 3 | | Igor Stravinsky: Requiem Canticles, 2nd series | 1966 | 6-Z40 | 6-Z11 | — |
| P: | 0 7 6 e 9 1 4 t 8 5 2 3 | 5 1 5 2 4 3 6 2 3 3 1 | | Ernst Krenek: String Quartet No. 7, op. 96 | 1943–44 | 6-Z12 | 6-Z41 | — |
| I: | 0 5 6 1 3 e 8 2 4 7 t 9 | 5 1 5 2 4 3 6 2 3 3 1 | | Ernst Krenek: String Quartet No. 7, op. 96 | 1943–44 | 6-Z12 | 6-Z41 | — |
| P: | 0 7 e 2 1 9 3 5 t 6 8 4 | 5 4 3 1 4 6 2 5 4 2 4 | | Arnold Schoenberg: Piano Concerto, Op. 42 | 1942 | 6–9 | 6–9 | inversional |
| I: | 0 5 1 t e 3 9 7 2 6 4 8 | 5 4 3 1 4 6 2 5 4 2 4 | | Arnold Schoenberg: Piano Concerto, Op. 42 | 1942 | 6–9 | 6–9 | inversional |
| P: | 0 7 e 8 2 t 6 9 5 4 1 3 | 5 4 3 6 4 4 3 4 1 3 2 | | Anton Webern: Op. 23 | 1933 | 6-Z10 | 6-Z39 | — |
| I: | 0 5 1 4 t 2 6 3 7 8 e 9 | 5 4 3 6 4 4 3 4 1 3 2 | | Anton Webern: Op. 23 | 1933 | 6-Z10 | 6-Z39 | — |
| P: | 0 7 e t 2 9 6 1 5 4 8 3 | 5 4 1 4 5 3 5 4 1 4 5 | | Ross Lee Finney: Edge of Shadow | 1959 | 6–8 | 6–8 | — |
| I: | 0 5 1 2 t 3 6 e 7 8 4 9 | 5 4 1 4 5 3 5 4 1 4 5 | | Ross Lee Finney: Edge of Shadow | 1959 | 6–8 | 6–8 | — |
| P: | 0 7 e t 9 8 3 6 4 1 5 2 | 5 4 1 1 1 5 3 2 3 4 3 | | Karlheinz Stockhausen: "Cancer", from Tierkreis | 1974–75 | 6–1 | 6–1 | all- combinatorial |
| I: | 0 5 1 2 3 4 9 6 8 e 7 t | 5 4 1 1 1 5 3 2 3 4 3 | | Karlheinz Stockhausen: "Cancer", from Tierkreis | 1974–75 | 6–1 | 6–1 | all- combinatorial |
| P: | 0 8 1 7 2 e 9 6 4 5 3 t | 4 5 6 5 3 2 3 2 1 2 5 | | Arnold Schoenberg: String Trio, Op. 45 | 1946 | 6–5 | 6–5 | — |
| I: | 0 4 e 5 t 1 3 6 8 7 9 2 | 4 5 6 5 3 2 3 2 1 2 5 | | Arnold Schoenberg: String Trio, Op. 45 | 1946 | 6–5 | 6–5 | — |
| P: | 0 8 1 t 9 e 5 3 4 7 2 6 | 4 5 3 1 2 6 2 1 3 5 4 | Play | Karlheinz Stockhausen: Klavierstück VII Gruppen Klavierstück IX Klavierstück X | 1955 1955–57 1961 1961 | 6–1 | 6–1 | all- combinatorial hexachord, retrograde-symmetrical all-interval |
| I: | 0 4 e 2 3 1 7 9 8 5 t 6 | 4 5 3 1 2 6 2 1 3 5 4 | Play | Karlheinz Stockhausen: Klavierstück VII Gruppen Klavierstück IX Klavierstück X | 1955 1955–57 1961 1961 | 6–1 | 6–1 | all- combinatorial hexachord, retrograde-symmetrical all-interval |
| P: | 0 8 1 e t 7 5 9 4 6 3 2 | 4 5 2 1 3 2 4 5 2 3 1 | | Karlheinz Stockhausen: Klavierstück V (row of original 1954 version) Klavierstück VIII | 1954–55 1954 | 6-Z3 | 6-Z36 | — |
| I: | 0 4 e 1 2 5 7 3 8 6 9 t | 4 5 2 1 3 2 4 5 2 3 1 | | Karlheinz Stockhausen: Klavierstück V (row of original 1954 version) Klavierstück VIII | 1954–55 1954 | 6-Z3 | 6-Z36 | — |
| P: | 0 8 4 9 t 3 1 6 e 2 7 5 | 4 4 5 1 5 2 5 5 3 5 2 | | Elliott Carter: Piano Concerto, Solo[ist] | 1964–65 | 6-Z17 | 6-Z43 | all-interval hexachord; ordered in register |
| I: | 0 4 8 3 2 9 e 6 1 t 5 7 | 4 4 5 1 5 2 5 5 3 5 2 | | Elliott Carter: Piano Concerto, Solo[ist] | 1964–65 | 6-Z17 | 6-Z43 | all-interval hexachord; ordered in register |
| P: | 0 8 5 t 7 1 6 4 e 2 3 9 | 4 3 5 3 6 5 2 5 3 1 6 | Play | Alban Berg: Lulu, Alwa | 1934 | 6-Z25 | 6-Z47 | — |
| I: | 0 4 7 2 5 e 6 8 1 t 9 3 | 4 3 5 3 6 5 2 5 3 1 6 | Play | Alban Berg: Lulu, Alwa | 1934 | 6-Z25 | 6-Z47 | — |
| P: | 0 8 7 t 4 5 2 9 e 3 1 6 | 4 1 3 6 1 3 5 2 4 2 5 | | Elliott Carter: A Symphony of Three Orchestras | 1976 | 6-Z24 | 6-Z46 | ordered in register |
| I: | 0 4 5 2 8 7 t 3 1 9 e 6 | 4 1 3 6 1 3 5 2 4 2 5 | | Elliott Carter: A Symphony of Three Orchestras | 1976 | 6-Z24 | 6-Z46 | ordered in register |
| P: | 0 8 7 e t 9 3 1 4 2 6 5 | 4 1 4 1 1 6 2 3 2 4 1 | Play | Anton Webern: Variations for piano, mov. III, op. 27 | 1936 | 6–1 | 6–1 | all- combinatorial |
| I: | 0 4 5 1 2 3 9 e 8 t 6 7 | 4 1 4 1 1 6 2 3 2 4 1 | Play | Anton Webern: Variations for piano, mov. III, op. 27 | 1936 | 6–1 | 6–1 | all- combinatorial |
| P: | 0 8 e t 2 1 4 3 7 6 9 5 | 4 3 1 4 1 3 1 4 1 3 4 | | Anton Webern: Op. 29 | 1938 | 6–2 | 6–2 | semi-combinatorial, RI-invariant: P0 = RI5 |
| I: | 0 4 1 2 t e 8 9 5 6 3 7 | 4 3 1 4 1 3 1 4 1 3 4 | | Anton Webern: Op. 29 | 1938 | 6–2 | 6–2 | semi-combinatorial, RI-invariant: P0 = RI5 |
| P: | 0 8 e t 4 6 7 1 5 3 9 2 | 4 3 1 6 2 1 6 4 2 6 5 | | Ernst Krenek: Sestina, op. 161 | 1957 | 6–22 | 6–22 | — |
| I: | 0 4 1 2 8 6 5 e 7 9 3 t | 4 3 1 6 2 1 6 4 2 6 5 | | Ernst Krenek: Sestina, op. 161 | 1957 | 6–22 | 6–22 | — |
| P: | 0 9 1 3 4 e 2 8 7 5 t 6 | 3 4 2 1 5 3 6 1 2 5 4 | | Luigi Dallapiccola: Piccola musica notturna | 1954 | 6–8 | 6–8 | — |
| I: | 0 3 e 9 8 1 t 4 5 7 2 6 | 3 4 2 1 5 3 6 1 2 5 4 | | Luigi Dallapiccola: Piccola musica notturna | 1954 | 6–8 | 6–8 | — |
| P: | 0 9 1 8 4 5 7 2 3 6 t e | 3 4 5 4 1 2 5 1 3 4 1 | | Milton Babbitt: Composition for Synthesizer | 1961 | 6–20 | 6–20 | — |
| I: | 0 3 e 4 8 7 5 t 9 6 2 1 | 3 4 5 4 1 2 5 1 3 4 1 | | Milton Babbitt: Composition for Synthesizer | 1961 | 6–20 | 6–20 | — |
| P: | 0 9 1 e t 2 8 7 5 4 6 3 | 3 4 2 1 4 6 1 2 1 2 3 | Play | Milton Babbitt: Composition for Four Instruments | 1948 | 6–1 | 6–1 | all- combinatorial |
| I: | 0 3 e 1 2 t 4 5 7 8 6 9 | 3 4 2 1 4 6 1 2 1 2 3 | Play | Milton Babbitt: Composition for Four Instruments | 1948 | 6–1 | 6–1 | all- combinatorial |
| P: | 0 9 2 3 e t 5 4 1 6 7 8 | 3 5 1 4 1 5 1 3 5 1 1 | | Igor Stravinsky: Epitaphium | 1959 | 6-Z3 | 6-Z36 | — |
| I: | 0 3 t 9 1 2 7 8 e 6 5 4 | 3 5 1 4 1 5 1 3 5 1 1 | | Igor Stravinsky: Epitaphium | 1959 | 6-Z3 | 6-Z36 | — |
| P: | 0 9 2 8 7 5 6 1 3 4 t e | 3 5 6 1 2 1 5 2 1 6 1 | | Karlheinz Stockhausen: "Capricorn", from Tierkreis | 1974–75 | 6-Z47 | 6-Z25 | — |
| I: | 0 3 t 4 5 7 6 e 9 8 2 1 | 3 5 6 1 2 1 5 2 1 6 1 | | Karlheinz Stockhausen: "Capricorn", from Tierkreis | 1974–75 | 6-Z47 | 6-Z25 | — |
| P: | 0 9 8 4 7 6 1 t 3 5 e 2 | 3 1 4 3 1 5 3 5 2 6 3 | | David Dzubay: Di/Con[ver(gence/sions)] | 1988 | 6-Z39 | 6-Z10 | — |
| I: | 0 3 4 8 5 6 e 2 9 7 1 t | 3 1 4 3 1 5 3 5 2 6 3 | | David Dzubay: Di/Con[ver(gence/sions)] | 1988 | 6-Z39 | 6-Z10 | — |
| P: | 0 9 8 e t 2 3 4 5 7 1 6 | 3 1 3 1 4 1 1 1 2 6 5 | | Anton Webern: Op. 22 | 1929–30 | 6–2 | 6–2 | semi-combinatorial |
| I: | 0 3 4 1 2 t 9 8 7 5 e 6 | 3 1 3 1 4 1 1 1 2 6 5 | | Anton Webern: Op. 22 | 1929–30 | 6–2 | 6–2 | semi-combinatorial |
| P: | 0 9 e 2 4 1 7 t 8 5 3 6 | 3 2 3 2 3 6 3 2 3 2 3 | | Milton Babbitt: Composition for Four Instruments, row ii | 1948 | 6–8 | 6–8 | — |
| I: | 0 3 1 t 8 e 5 2 4 7 9 6 | 3 2 3 2 3 6 3 2 3 2 3 | | Milton Babbitt: Composition for Four Instruments, row ii | 1948 | 6–8 | 6–8 | — |
| P: | 0 t 1 2 5 4 6 3 7 e 8 9 | 2 3 1 3 1 2 3 4 4 3 1 | | Pierre Boulez: Le marteau sans maître | 1953–55 | 6-Z10 | 6-Z39 | — |
| I: | 0 2 e t 7 8 6 9 5 1 4 3 | 2 3 1 3 1 2 3 4 4 3 1 | | Pierre Boulez: Le marteau sans maître | 1953–55 | 6-Z10 | 6-Z39 | — |
| P: | 0 t 3 4 2 7 6 9 8 e 1 5 | 2 5 1 2 5 1 3 1 3 2 4 | | Charles Ives: Tone Roads No. 1 | 1911 | 6-Z46 | 6-Z24 | — |
| I: | 0 2 9 8 t 5 6 3 4 1 e 7 | 2 5 1 2 5 1 3 1 3 2 4 | | Charles Ives: Tone Roads No. 1 | 1911 | 6-Z46 | 6-Z24 | — |
| P: | 0 t 3 e 8 7 1 2 5 9 4 6 | 2 5 4 3 1 6 1 3 4 5 2 | | Elliott Carter: Night Fantasies | 1982 | 6–14 | 6–14 | — |
| I: | 0 2 9 1 4 5 e t 7 3 8 6 | 2 5 4 3 1 6 1 3 4 5 2 | | Elliott Carter: Night Fantasies | 1982 | 6–14 | 6–14 | — |
| P: | 0 t 9 8 7 5 e 1 2 3 4 6 | 2 1 1 1 2 6 2 1 1 1 2 | | Milton Babbitt: Composition for Four Instruments, row i | 1948 | 6–8 | 6–8 | — |
| I: | 0 2 3 4 5 7 1 e t 9 8 6 | 2 1 1 1 2 6 2 1 1 1 2 | | Milton Babbitt: Composition for Four Instruments, row i | 1948 | 6–8 | 6–8 | — |
| P: | 0 t 9 e 7 2 8 1 4 6 5 3 | 2 1 2 4 5 6 5 3 2 1 2 | | Karlheinz Stockhausen: Kreuzspiel | 1951 | 6-Z50 | 6-Z29 | — |
| I: | 0 2 3 1 5 t 4 e 8 6 7 9 | 2 1 2 4 5 6 5 3 2 1 2 | | Karlheinz Stockhausen: Kreuzspiel | 1951 | 6-Z50 | 6-Z29 | — |
| P: | 0 e 1 2 9 8 t 7 5 6 4 3 | 1 2 1 5 1 2 3 2 1 2 1 | | Igor Stravinsky: Agon, "Double Pas de Quatre" | 1957 | 6-Z3 | 6-Z36 | — |
| I: | 0 1 e t 3 4 2 5 7 6 8 9 | 1 2 1 5 1 2 3 2 1 2 1 | | Igor Stravinsky: Agon, "Double Pas de Quatre" | 1957 | 6-Z3 | 6-Z36 | — |
| P: | 0 e 1 3 4 2 5 7 6 8 t 9 | 1 2 2 1 2 3 2 1 2 2 1 | | Igor Stravinsky: Fanfare | 1964 | 6–1 | 6–1 | all- combinatorial |
| I: | 0 1 e 9 8 t 7 5 6 4 2 3 | 1 2 2 1 2 3 2 1 2 2 1 | | Igor Stravinsky: Fanfare | 1964 | 6–1 | 6–1 | all- combinatorial |
| P: | 0 e 1 3 4 2 7 6 9 5 8 t | 1 2 2 1 2 5 1 3 4 3 2 | | Igor Stravinsky: Canticum Sacrum, II & IV | 1955 | 6–1 | 6–1 | all- combinatorial |
| I: | 0 1 e 9 8 t 5 6 3 7 4 2 | 1 2 2 1 2 5 1 3 4 3 2 | | Igor Stravinsky: Canticum Sacrum, II & IV | 1955 | 6–1 | 6–1 | all- combinatorial |
| P: | 0 e 1 7 9 8 t 4 6 5 2 3 | 1 2 6 2 1 2 6 2 1 3 1 | | Chen Yi: Woodwind Quintet | 1987 | 6-Z4 | 6-Z37 | — |
| I: | 0 1 e 5 3 4 2 8 6 7 t 9 | 1 2 6 2 1 2 6 2 1 3 1 | | Chen Yi: Woodwind Quintet | 1987 | 6-Z4 | 6-Z37 | — |
| P: | 0 e 2 1 3 4 9 t 7 8 6 5 | 1 3 1 2 1 5 1 3 1 2 1 | | Arvo Pärt: Diagrams | 1964 | 6–1 | 6–1 | all- combinatorial |
| I: | 0 1 t e 9 8 3 2 5 4 6 7 | 1 3 1 2 1 5 1 3 1 2 1 | | Arvo Pärt: Diagrams | 1964 | 6–1 | 6–1 | all- combinatorial |
| P: | 0 e 2 1 5 6 3 4 8 7 t 9 | 1 3 1 4 1 3 1 4 1 3 1 | Play | Anton Webern: String Quartet, Op. 28: | 1936 | 6–5 | 6–5 | derived: 4–1 (BACH motif), semi-combinatorial |
| I: | 0 1 t e 7 6 9 8 4 5 2 3 | 1 3 1 4 1 3 1 4 1 3 1 | Play | Anton Webern: String Quartet, Op. 28: | 1936 | 6–5 | 6–5 | derived: 4–1 (BACH motif), semi-combinatorial |
| P: | 0 e 2 3 4 1 6 5 8 9 t 7 | 1 3 1 1 3 5 1 3 1 1 3 | | Alberto Ginastera: Violin Concerto, op. 30 | 1963 | 6–1 | 6–1 | all- combinatorial |
| I: | 0 1 t 9 8 e 6 7 4 3 2 5 | 1 3 1 1 3 5 1 3 1 1 3 | | Alberto Ginastera: Violin Concerto, op. 30 | 1963 | 6–1 | 6–1 | all- combinatorial |
| P: | 0 e 2 9 5 3 4 8 t 7 1 6 | 1 3 5 4 2 1 4 2 3 6 5 | | Elliott Carter: String Quartet No. 3 | 1973 | 6-Z23 | 6-Z45 | — |
| I: | 0 1 t 3 7 9 8 4 2 5 e 6 | 1 3 5 4 2 1 4 2 3 6 5 | | Elliott Carter: String Quartet No. 3 | 1973 | 6-Z23 | 6-Z45 | — |
| P: | 0 e 3 1 7 9 6 2 t 5 8 4 | 1 4 2 6 2 3 4 4 5 3 4 | | Arnold Schoenberg: Violin Phantasy, Op. 47 | 1949 | 6–21 | 6–21 | — |
| I: | 0 1 9 e 5 3 6 t 2 7 4 8 | 1 4 2 6 2 3 4 4 5 3 4 | | Arnold Schoenberg: Violin Phantasy, Op. 47 | 1949 | 6–21 | 6–21 | — |
| P: | 0 e 3 2 1 8 6 9 t 7 5 4 | 1 4 1 1 5 2 3 1 3 2 1 | | Igor Stravinsky: Double Canon | 1959 | 6-Z36 | 6-Z3 | — |
| I: | 0 1 9 t e 4 6 3 2 5 7 8 | 1 4 1 1 5 2 3 1 3 2 1 | | Igor Stravinsky: Double Canon | 1959 | 6-Z36 | 6-Z3 | — |
| P: | 0 e 3 4 8 7 9 5 6 1 2 t | 1 4 1 4 1 2 4 1 5 1 4 | Play | Anton Webern: Concerto for Nine Instruments, Op. 24 | 1934 | 6–20 | 6–20 | all- combinatorial, derived: 3–3 |
| I: | 0 1 9 8 4 5 3 7 6 e t 2 | 1 4 1 4 1 2 4 1 5 1 4 | Play | Anton Webern: Concerto for Nine Instruments, Op. 24 | 1934 | 6–20 | 6–20 | all- combinatorial, derived: 3–3 |
| P: | 0 e 4 5 7 3 2 6 8 1 t 9 | 1 5 1 2 4 1 4 2 5 3 1 | | David Lewin: Just a Minute, Roger | 1978 | 6–16 | 6–16 | — |
| I: | 0 1 8 7 5 9 t 6 4 e 2 3 | 1 5 1 2 4 1 4 2 5 3 1 | | David Lewin: Just a Minute, Roger | 1978 | 6–16 | 6–16 | — |
| P: | 0 e 5 2 1 6 3 8 7 4 t 9 | 1 6 3 1 5 3 5 1 3 6 1 | | Alfred Schnittke: Viola Concerto | 1985 | 6–5 | 6–5 | — |
| I: | 0 1 7 t e 6 9 4 5 8 2 3 | 1 6 3 1 5 3 5 1 3 6 1 | | Alfred Schnittke: Viola Concerto | 1985 | 6–5 | 6–5 | — |
| P: | 0 e 5 9 6 2 7 3 1 4 t 9 | 1 6 4 3 4 5 4 2 3 6 1 | | Luigi Dallapiccola: Cinque Canti | | 6-Z50 | 6-Z29 | RI-invariant: P0 = RI9 |
| I: | 0 1 7 3 6 t 5 9 e 8 2 3 | 1 6 4 3 4 5 4 2 3 6 1 | | Luigi Dallapiccola: Cinque Canti | | 6-Z50 | 6-Z29 | RI-invariant: P0 = RI9 |
| P: | 0 e 6 5 4 3 1 t 9 7 2 8 | 1 5 1 1 1 2 3 1 2 5 6 | | Pierre Boulez: Structures Ia | 1952 | 6–5 | 6–5 | — |
| I: | 0 1 6 7 8 9 e 2 3 5 t 4 | 1 5 1 1 1 2 3 1 2 5 6 | | Pierre Boulez: Structures Ia | 1952 | 6–5 | 6–5 | — |
| P: | 0 e 6 5 7 1 8 2 t 3 4 9 | 1 5 1 2 6 5 6 4 5 1 5 | | George Perle: Three Inventions for Piano, no. 3 | | 6–7 | 6–7 | all- combinatorial |
| I: | 0 1 6 7 5 e 4 t 2 9 8 3 | 1 5 1 2 6 5 6 4 5 1 5 | | George Perle: Three Inventions for Piano, no. 3 | | 6–7 | 6–7 | all- combinatorial |
| P: | 0 e 7 1 2 9 3 8 t 4 5 6 | 1 4 6 1 5 6 5 2 6 1 1 | Play | Alban Berg: Lyric Suite, mov. III | 1925–26 | 6–9 | 6–9 | — |
| I: | 0 1 5 e t 3 9 4 2 8 7 6 | 1 4 6 1 5 6 5 2 6 1 1 | Play | Alban Berg: Lyric Suite, mov. III | 1925–26 | 6–9 | 6–9 | — |
| P: | 0 e 7 1 4 8 3 9 t 2 5 6 | 1 4 6 3 4 5 6 1 4 3 1 | Play | Alban Berg: Lyric Suite, mov. VI, row 1 | 1925–26 | 6-Z44 | 6-Z19 | — |
| I: | 0 1 5 e 8 4 9 3 2 t 7 6 | 1 4 6 3 4 5 6 1 4 3 1 | Play | Alban Berg: Lyric Suite, mov. VI, row 1 | 1925–26 | 6-Z44 | 6-Z19 | — |
| P: | 0 e 7 4 2 9 3 8 t 1 5 6 | 1 4 3 2 5 6 5 2 3 4 1 | Play | Fritz Heinrich Klein Alban Berg: Lyric Suite, mov. I Alberto Ginastera: Sonata for Guitar, mvt. III, op. 47 | 1920–22 1925–26 1976 | 6–32 | 6–32 | Mother chord (all-interval) Trichordally combinatorial: 0369 |
| I: | 0 1 5 8 t 3 9 4 2 e 7 6 | 1 4 3 2 5 6 5 2 3 4 1 | Play | Fritz Heinrich Klein Alban Berg: Lyric Suite, mov. I Alberto Ginastera: Sonata for Guitar, mvt. III, op. 47 | 1920–22 1925–26 1976 | 6–32 | 6–32 | Mother chord (all-interval) Trichordally combinatorial: 0369 |
| P: | 0 e 7 8 3 1 2 t 6 5 4 9 | 1 4 1 5 2 1 4 4 1 1 5 | | Arnold Schoenberg: String quartet No. 4 | 1936 | 6–16 | 6–16 | — |
| I: | 0 1 5 4 9 e t 2 6 7 8 3 | 1 4 1 5 2 1 4 4 1 1 5 | | Arnold Schoenberg: String quartet No. 4 | 1936 | 6–16 | 6–16 | — |
| P: | 0 e 8 4 7 3 1 5 2 6 9 t | 1 3 4 3 4 2 4 3 4 3 1 | | Arnold Schoenberg: Modern Psalm, Op. 50c | 1950 | 6–20 | 6–20 | — |
| I: | 0 1 4 8 5 9 e 7 t 6 3 2 | 1 3 4 3 4 2 4 3 4 3 1 | | Arnold Schoenberg: Modern Psalm, Op. 50c | 1950 | 6–20 | 6–20 | — |
| P: | 0 e 8 9 7 6 1 5 4 3 2 t | 1 3 1 2 1 5 4 1 1 1 4 | Play | Alban Berg: Lyric Suite, row 2 | 1925–26 | 6-Z3 | 6-Z36 | — |
| I: | 0 1 4 3 5 6 e 7 8 9 t 2 | 1 3 1 2 1 5 4 1 1 1 4 | Play | Alban Berg: Lyric Suite, row 2 | 1925–26 | 6-Z3 | 6-Z36 | — |
| P: | 0 e 9 2 t 7 1 4 8 3 5 6 | 1 2 5 4 3 6 3 4 5 2 1 | | Milton Babbitt: "The Widow's Lament in Springtime" | 1951 | 6–8 | 6–8 | — |
| I: | 0 1 3 t 2 5 e 8 4 9 7 6 | 1 2 5 4 3 6 3 4 5 2 1 | | Milton Babbitt: "The Widow's Lament in Springtime" | 1951 | 6–8 | 6–8 | — |
| P: | 0 e 9 4 3 t 8 7 5 6 1 2 | 1 2 5 1 5 2 1 2 1 5 1 | | Dmitri Shostakovich: Symphony No. 14, mov. I | 1969 | 6–5 | 6–5 | — |
| I: | 0 1 3 8 9 2 4 5 7 6 e t | 1 2 5 1 5 2 1 2 1 5 1 | | Dmitri Shostakovich: Symphony No. 14, mov. I | 1969 | 6–5 | 6–5 | — |
| P: | 0 e 9 6 t 8 7 5 2 4 3 1 | 1 2 3 4 2 1 2 3 2 1 2 | | Igor Stravinsky: Canticum Sacrum, II | 1955 | 6–2 | 6–2 | — |
| I: | 0 1 3 6 2 4 5 7 t 8 9 e | 1 2 3 4 2 1 2 3 2 1 2 | | Igor Stravinsky: Canticum Sacrum, II | 1955 | 6–2 | 6–2 | — |
| P: | 0 e t 1 3 2 4 9 8 6 5 7 | 1 1 3 2 1 2 5 1 2 1 2 | | Alfred Schnittke: String Quartet No. 4, Mov. I | 1989 | 6–1 | 6–1 | all-combinatorial |
| I: | 0 1 2 e 9 t 8 3 4 6 7 5 | 1 1 3 2 1 2 5 1 2 1 2 | | Alfred Schnittke: String Quartet No. 4, Mov. I | 1989 | 6–1 | 6–1 | all-combinatorial |
| P: | 0 e t 5 6 9 7 1 2 8 3 4 | 1 1 5 1 3 2 6 1 6 5 1 | | Arvo Pärt: Symphony No. 1 Perpetuum Mobile | 1963 1963 | 6–5 | 6–5 | — |
| I: | 0 1 2 7 6 3 5 e t 4 9 8 | 1 1 5 1 3 2 6 1 6 5 1 | | Arvo Pärt: Symphony No. 1 Perpetuum Mobile | 1963 1963 | 6–5 | 6–5 | — |

## Other lengths
### Fewer than twelve
#### Five

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 e 8 9 t | 1 3 1 1 | | Igor Stravinsky: In memoriam Dylan Thomas | 1954 | 5–1 | — |

#### Six

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Pierre Boulez: Messagesquisse Répons Dérive 1 Incises sur Incises | 1976 1984 1984 1994 1996 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Conrad Beck: Für Paul Sacher: Drei Epigramme für Violoncello solo | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Luciano Berio: Les Mots sont allés | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Benjamin Britten: Tema "Sacher" | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Henri Dutilleux: Trois Strophes sur le nom de Sacher | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Wolfgang Fortner: Zum Spielen für den 70. Geburtstag: Thema und Variationen für Violoncello Solo | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Alberto Ginastera :Puneña n° 2, op. 45 | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Cristóbal Halffter: Variationen über das Thema eSACHERe | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Hans Werner Henze: Capriccio per Paul Sacher | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Heinz Holliger: Chaconne, für Violoncello Solo | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Klaus Huber: Transpositio ad infinitum | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 6 9 8 1 e | 6 3 1 5 2 | Sacher hexachord Play | Witold Lutosławski: Sacher-Variationen | 1976 | 6-Z11, (6-Z40) | Musical cryptogram: Paul Sacher |
| 0 9 8 7 1 4 | 3 1 1 6 3 | Play | Arnold Schoenberg: Die glückliche Hand, Op. 18 "Seraphita", op. 22, no. 1 | 1910–13 1913–16 | 6-Z44 (6-Z19) | Schoenberg hexachord |

#### Eight

| Prime form | Interval classes | Composer: Composition | Year | Set(s) | Features |
| 0 2 8 9 t 4 3 e | 2 6 1 1 6 1 4 | Alban Berg: Lyric Suite | 1925–26 | 8–5 | — |
| 0 2 9 7 t 8 e 1 | 2 5 2 3 2 3 2 | Joonas Kokkonen: Symphonic Sketches, mov. 3, row B | 1968 | 8–1 | — |
| 0 7 1 6 8 2 3 4 | 5 6 5 2 6 1 1 | Alban Berg: Lyric Suite | 1925–26 | 8–5 | — |
| 0 8 2 3 t 4 9 e | 4 6 1 5 6 5 2 | Alban Berg: Lyric Suite | 1925–26 | 8–5 | — |
| 0 t 2 4 5 7 3 1 | 2 4 2 1 2 4 2 | Igor Stravinsky: Agon, "Pas-de-Deux" refrain (b. 463–472) | 1957 | 8–10 | — |
| 0 t 3 5 2 4 1 e | 2 5 2 3 2 3 2 | Joonas Kokkonen: Symphonic Sketches, mov. 3, row C | 1968 | 8–1 | — |

#### Nine

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 2 e 4 9 7 8 6 1 | 2 3 5 5 2 1 2 5 | | Joonas Kokkonen: Symphonic Sketches, mov. 3, row D | 1968 | 9–8 | — |

#### Ten

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 e 2 1 5 6 4 9 7 8 | 1 3 1 4 1 2 5 2 1 | | Arvo Pärt: Collage sur B-A-C-H | 1964 | — | BACH motif |

#### Eleven

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 1 e 5 6 8 7 9 2 3 4 | 1 2 6 1 2 1 2 5 1 1 | | Karel Husa: Music for Prague 1968 | 1968 | — | — |
| 0 4 3 e 2 7 6 8 t 5 1 | 4 1 4 3 5 1 2 2 5 4 | Spacing, orchestration not shown | Aaron Copland: Inscape row 1 | 1967 | — | — |
| 0 7 3 9 2 4 6 t 7 e 1 | 5 4 6 5 2 2 4 3 4 2 | | Aaron Copland: Inscape row 2 | 1967 | — | — |
| 0 e t 4 6 2 1 9 8 5 3 | 1 1 6 2 4 1 4 1 3 2 | | Karlheinz Stockhausen: Licht, Lucifer formula | 1977– 2003 | — | — |

### More than twelve
#### Thirteen

| Prime form | Interval classes | Composer: Composition | Year | Set(s) | Features |
| 0 1 4 5 t 8 7 t e 6 3 2 9 | 1 3 1 5 2 1 3 1 5 3 1 7 | Karlheinz Stockhausen: "Taurus", from Tierkreis | 1974–75 | — | — |
| 0 1 t 6 8 3 5 2 4 e 9 7 0 | 1 3 4 2 5 2 3 2 5 2 1 5 | Karlheinz Stockhausen: Choral | 1950 | — | — |
| 0 3 e 8 5 4 9 2 1 t 7 3 6 | 3 4 3 3 1 5 5 1 3 3 4 3 | Luciano Berio: Nones | 1953–54 | — | — |
| 0 4 1 5 7 t 2 8 e 9 3 6 9 | 4 3 4 2 3 4 6 3 2 6 3 3 | Karlheinz Stockhausen: "Pisces", from Tierkreis | 1974–75 | — | — |
| 0 7 8 6 e t 2 5 1 3 9 4 0 | 5 1 2 5 1 4 3 4 2 6 5 4 | Karlheinz Stockhausen: Licht, Michael formula | 1977– 2003 | — | — |
| 0 e 2 4 t 9 7 3 7 1 8 5 6 | 1 3 2 6 1 2 4 4 6 7 3 1 | Karlheinz Stockhausen: "Virgo", from Tierkreis | 1974–75 | — | — |
| 0 e 4 t 9 5 8 6 2 1 6 7 3 | 1 5 6 1 4 3 2 4 1 5 1 4 | Karlheinz Stockhausen: Klavierstück IV (first row of 48) | 1952 | 6-Z38, 6-Z6 | — |

#### Fourteen

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 1 t 3 9 4 6 7 4 5 7 3 8 e | 1 3 5 6 5 2 1 3 1 2 4 5 3 | Play | Karlheinz Stockhausen: "Libra", from Tierkreis | 1974–75 | — | — |
| 0 1 t 9 2 8 e 7 3 5 6 4 0 2 | 1 3 1 5 6 3 4 4 2 1 2 4 2 | | Karlheinz Stockhausen: Inori | 1973–74 | — | — |
| 0 e 2 4 1 8 t e 9 4 7 5 3 6 | 1 3 2 3 5 2 1 2 5 3 2 3 | | Joonas Kokkonen: Cello Concerto, mov. 3, row A | 1969 | — | — |

#### Seventeen

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 2 1 e t 8 9 e t 0 1 e t 0 e 9 0 | 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 3 | | Igor Stravinsky: Agon, b. 104 | 1957 | — | — |
| 0 2 3 5 4 9 7 8 e 1 6 e t 0 e 9 0 | 2 1 2 1 5 2 1 3 2 5 5 1 2 1 2 3 | | Igor Stravinsky: Agon, "Bransles" | 1957 | 6-Z40, 6-Z11 | — |

#### Twenty-two

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 e 6 8 7 2 1 3 t 9 4 6 9 7 8 3 1 2 4 e t 0 | 1 5 2 1 5 1 2 5 1 5 2 3 2 1 5 2 1 2 5 1 2 | | Joonas Kokkonen: Cello Concerto, mov. 3, row B | 1969 | — | — |

#### Twenty-four

| Prime form | Interval classes | Notation | Composer: Composition | Year | Set(s) | Features |
| 0 1 12 14 23 22 19 18 20 21 3 4 16 13 6 15 8 7 17 10 9 11 2 5 | 0.5 5.5 1 4.5 0.5 1.5 0.5 1 0.5 9 0.5 6 1.5 3.5 4.5 3.5 .5 5 3.5 0.5 5 3.5 0.5 1 4.5 1.5 | | Pierre Boulez: Polyphonie X, quarter-tone series | 1950–51 | — | — |
| 0 20 1 10 9 11 17 15 16 7 2 6 23 21 22 13 8 12 18 14 19 4 3 5 | 10 9.5 4.5 0.5 1 3 1 0.5 4.5 2.5 2 8.5 1 0.5 4.5 2.5 2 3 2 2.5 7.5 0.5 1 | | Karlheinz Stockhausen: Himmelfahrt, mod24 (no octave equivalency) | 2004– 2005 | — | — |