Chord Type: 0 1 2 3 4 5

0 1 2 3 4 5 = 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form

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The information on this page uses the Jordan Chromatic System

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Chord Type: 0 1 2 3 4 5

Modal System Fun Facts 0 1 2 3 4 5 Inversionally Symmetrical Melodic adjacency = 1 (maximum). General Statistics Cardinality: 6 Jordan Number: 6-1 Forte Number: 6-1 Forte Prime Form: [0,1,2,3,4,5] Zeitler Scale Name: Ian Ring's Scale Page 63 Root Reference: 0 1 2 3 4 5 Tone Stacking: 0 1 1 1 1 1 Interval Stacking: 1 1 1 1 1 7 Binary: 1 1 1 1 1 1 0 0 0 0 0 0 Decimal Value: 63 Interval Vector: 5 4 3 2 1 0 Inversional Symmetry: yes (axes of symmetry: 2.5 8.5) Transpositional Symmetry: no Melodic Adjacency (0-1): 1.000 Harmonic Adjacency (0-1): 0.333 Modal-system-invariant under multiplication by: 1 11 Modal System Balanced: no Diachromatic Family: chromatic hexachord (Scale Degrees: 122334) ->0 1 2 3 4 5 = 1st 6 chromatics, type A ACH All Transpositions of Chord Type: +0= 0 1 2 3 4 5 |1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form +1= 1 2 3 4 5 6 | +2= 2 3 4 5 6 7 | +3= 3 4 5 6 7 8 | +4= 4 5 6 7 8 9 | +5= 5 6 7 8 9 10 | +6= 6 7 8 9 10 11 | +7= 0 7 8 9 10 11 | +8= 0 1 8 9 10 11 | +9= 0 1 2 9 10 11 | +10= 0 1 2 3 10 11 | +11= 0 1 2 3 4 11 | Modes of Chord Type: (mode 0) 0: 0 1 2 3 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 1) 1: 0 1 2 3 4 11 | (mode 2) 2: 0 1 2 3 10 11 | (mode 3) 3: 0 1 2 9 10 11 | (mode 4) 4: 0 1 8 9 10 11 | (mode 5) 5: 0 7 8 9 10 11 | Modes of Chord Type Sorted by Rootedness: 1.358(mode 1)1:0 1 2 3 4 11 | 1.125(mode 5)5:0 7 8 9 10 11 | 1.067(mode 2)2:0 1 2 3 10 11 | .933(mode 3)3:0 1 2 9 10 11 | .808(mode 0)0:0 1 2 3 4 5 |1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form .575(mode 4)4:0 1 8 9 10 11 | Inversion at 0: 0 7 8 9 10 11 (mode 0) 0: 0 7 8 9 10 11 | (mode 1) 7: 0 1 2 3 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 2) 8: 0 1 2 3 4 11 | (mode 3) 9: 0 1 2 3 10 11 | (mode 4) 10: 0 1 2 9 10 11 | (mode 5) 11: 0 1 8 9 10 11 | Times 7: 0 2 4 7 9 11 (mode 0) 0: 0 2 4 7 9 11 | M13 no 11th = Guidonian hexachord = 6-note 5ths stack (mode 1) 2: 0 2 5 7 9 10 | (mode 2) 4: 0 3 5 7 8 10 | m7b13 no 9th (mode 3) 7: 0 2 4 5 7 9 | type C all-combinatorial hexachord prime form (mode 4) 9: 0 2 3 5 7 10 | m11 (mode 5) 11: 0 1 3 5 8 10 | Times 5: 0 1 3 5 8 10 (mode 0) 0: 0 1 3 5 8 10 | (mode 1) 1: 0 2 4 7 9 11 | M13 no 11th = Guidonian hexachord = 6-note 5ths stack (mode 2) 3: 0 2 5 7 9 10 | (mode 3) 5: 0 3 5 7 8 10 | m7b13 no 9th (mode 4) 8: 0 2 4 5 7 9 | type C all-combinatorial hexachord prime form (mode 5) 10: 0 2 3 5 7 10 | m11 Modal System: 0 1 2 3 4 5 from root(s) 0 | "closed hexachord modal system = type A all-combinatorial hexachord modal system" Modes of Modal System: (mode 0) 0: 0 1 2 3 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 1) 1: 0 1 2 3 4 11 | (mode 2) 2: 0 1 2 3 10 11 | (mode 3) 3: 0 1 2 9 10 11 | (mode 4) 4: 0 1 8 9 10 11 | (mode 5) 5: 0 7 8 9 10 11 | Complement: 6 7 8 9 10 11 (mode 0) 6: 0 1 2 3 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 1) 7: 0 1 2 3 4 11 | (mode 2) 8: 0 1 2 3 10 11 | (mode 3) 9: 0 1 2 9 10 11 | (mode 4) 10: 0 1 8 9 10 11 | (mode 5) 11: 0 7 8 9 10 11 | All but the root (subchroma complement of 0): 1 2 3 4 5 (mode 0) 1: 0 1 2 3 4 | 1st 5 notes of chromatic scale (mode 1) 2: 0 1 2 3 11 | (mode 2) 3: 0 1 2 10 11 | (mode 3) 4: 0 1 9 10 11 | (mode 4) 5: 0 8 9 10 11 | Web Links JCS Wiki Page for This Chord Type No content as of 2022-5-9. This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3) De-Chromaticizations Dechromaticised: 0 5 (mode 0) 0: 0 5 | perfect 4th = perfect 11th = augmented third = 2-note 4ths stack (mode 1) 5: 0 7 | perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack Dechromaticised but Keep 0 0 5 (unchanged) (mode 0) 0: 0 5 | perfect 4th = perfect 11th = augmented third = 2-note 4ths stack (mode 1) 5: 0 7 | perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 0 3 4 5 (mode 0) 0: 0 3 4 5 | (mode 1) 3: 0 1 2 9 | (mode 2) 4: 0 1 8 11 | (mode 3) 5: 0 7 10 11 | Alt-Dechromaticised: N/A Alt-Dechromaticised but Keep 0 N/A Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 N/A Chromaticizations chromaticized: N/A chromaticized keep 0: N/A chromaticized keep 0 7: N/A chromaticized keep 0 3 4 7: N/A alt-chromaticized: (mode 0) 0: 0 1 2 3 4 5 8 | (mode 1) 1: 0 1 2 3 4 7 11 | (mode 2) 2: 0 1 2 3 6 10 11 | (mode 3) 3: 0 1 2 5 9 10 11 | (mode 4) 4: 0 1 4 8 9 10 11 | (mode 5) 5: 0 3 7 8 9 10 11 | (mode 6) 8: 0 4 5 6 7 8 9 | (mode 0) 0: 0 1 2 3 4 5 9 | (mode 1) 1: 0 1 2 3 4 8 11 | (mode 2) 2: 0 1 2 3 7 10 11 | (mode 3) 3: 0 1 2 6 9 10 11 | (mode 4) 4: 0 1 5 8 9 10 11 | (mode 5) 5: 0 4 7 8 9 10 11 | (mode 6) 9: 0 3 4 5 6 7 8 | (mode 0) 0: 0 1 2 3 4 5 6 11 | (mode 1) 1: 0 1 2 3 4 5 10 11 | (mode 2) 2: 0 1 2 3 4 9 10 11 | (mode 3) 3: 0 1 2 3 8 9 10 11 | (mode 4) 4: 0 1 2 7 8 9 10 11 | (mode 5) 5: 0 1 6 7 8 9 10 11 | (mode 6) 6: 0 5 6 7 8 9 10 11 | (mode 7) 11: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 0) 0: 0 1 2 3 4 5 8 9 | (mode 1) 1: 0 1 2 3 4 7 8 11 | (mode 2) 2: 0 1 2 3 6 7 10 11 | (mode 3) 3: 0 1 2 5 6 9 10 11 | (mode 4) 4: 0 1 4 5 8 9 10 11 | (mode 5) 5: 0 3 4 7 8 9 10 11 | (mode 6) 8: 0 1 4 5 6 7 8 9 | (mode 7) 9: 0 3 4 5 6 7 8 11 | alt-chromaticized keep 0: (mode 0) 0: 0 1 2 3 4 5 7 | (mode 1) 1: 0 1 2 3 4 6 11 | (mode 2) 2: 0 1 2 3 5 10 11 | (mode 3) 3: 0 1 2 4 9 10 11 | (mode 4) 4: 0 1 3 8 9 10 11 | (mode 5) 5: 0 2 7 8 9 10 11 | (mode 6) 7: 0 5 6 7 8 9 10 | (mode 0) 0: 0 1 2 3 4 5 8 | (mode 1) 1: 0 1 2 3 4 7 11 | (mode 2) 2: 0 1 2 3 6 10 11 | (mode 3) 3: 0 1 2 5 9 10 11 | (mode 4) 4: 0 1 4 8 9 10 11 | (mode 5) 5: 0 3 7 8 9 10 11 | (mode 6) 8: 0 4 5 6 7 8 9 | (mode 0) 0: 0 1 2 3 4 5 9 | (mode 1) 1: 0 1 2 3 4 8 11 | (mode 2) 2: 0 1 2 3 7 10 11 | (mode 3) 3: 0 1 2 6 9 10 11 | (mode 4) 4: 0 1 5 8 9 10 11 | (mode 5) 5: 0 4 7 8 9 10 11 | (mode 6) 9: 0 3 4 5 6 7 8 | (mode 0) 0: 0 1 2 3 4 5 10 | (mode 1) 1: 0 1 2 3 4 9 11 | (mode 2) 2: 0 1 2 3 8 10 11 | (mode 3) 3: 0 1 2 7 9 10 11 | (mode 4) 4: 0 1 6 8 9 10 11 | (mode 5) 5: 0 5 7 8 9 10 11 | (mode 6) 10: 0 2 3 4 5 6 7 | (mode 0) 0: 0 1 2 3 4 5 7 8 | (mode 1) 1: 0 1 2 3 4 6 7 11 | (mode 2) 2: 0 1 2 3 5 6 10 11 | (mode 3) 3: 0 1 2 4 5 9 10 11 | (mode 4) 4: 0 1 3 4 8 9 10 11 | (mode 5) 5: 0 2 3 7 8 9 10 11 | (mode 6) 7: 0 1 5 6 7 8 9 10 | (mode 7) 8: 0 4 5 6 7 8 9 11 | (mode 0) 0: 0 1 2 3 4 5 8 9 | (mode 1) 1: 0 1 2 3 4 7 8 11 | (mode 2) 2: 0 1 2 3 6 7 10 11 | (mode 3) 3: 0 1 2 5 6 9 10 11 | (mode 4) 4: 0 1 4 5 8 9 10 11 | (mode 5) 5: 0 3 4 7 8 9 10 11 | (mode 6) 8: 0 1 4 5 6 7 8 9 | (mode 7) 9: 0 3 4 5 6 7 8 11 | (mode 0) 0: 0 1 2 3 4 5 6 11 | (mode 1) 1: 0 1 2 3 4 5 10 11 | (mode 2) 2: 0 1 2 3 4 9 10 11 | (mode 3) 3: 0 1 2 3 8 9 10 11 | (mode 4) 4: 0 1 2 7 8 9 10 11 | (mode 5) 5: 0 1 6 7 8 9 10 11 | (mode 6) 6: 0 5 6 7 8 9 10 11 | (mode 7) 11: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 0) 0: 0 1 2 3 4 5 9 10 | (mode 1) 1: 0 1 2 3 4 8 9 11 | (mode 2) 2: 0 1 2 3 7 8 10 11 | (mode 3) 3: 0 1 2 6 7 9 10 11 | (mode 4) 4: 0 1 5 6 8 9 10 11 | (mode 5) 5: 0 4 5 7 8 9 10 11 | (mode 6) 9: 0 1 3 4 5 6 7 8 | (mode 7) 10: 0 2 3 4 5 6 7 11 | (mode 0) 0: 0 1 2 3 4 5 6 7 11 | (mode 1) 1: 0 1 2 3 4 5 6 10 11 | (mode 2) 2: 0 1 2 3 4 5 9 10 11 | (mode 3) 3: 0 1 2 3 4 8 9 10 11 | (mode 4) 4: 0 1 2 3 7 8 9 10 11 | (mode 5) 5: 0 1 2 6 7 8 9 10 11 | (mode 6) 6: 0 1 5 6 7 8 9 10 11 | (mode 7) 7: 0 4 5 6 7 8 9 10 11 | (mode 8) 11: 0 1 2 3 4 5 6 7 8 | 1st 9 notes of chromatic scale (mode 0) 0: 0 1 2 3 4 5 6 8 11 | (mode 1) 1: 0 1 2 3 4 5 7 10 11 | (mode 2) 2: 0 1 2 3 4 6 9 10 11 | (mode 3) 3: 0 1 2 3 5 8 9 10 11 | (mode 4) 4: 0 1 2 4 7 8 9 10 11 | (mode 5) 5: 0 1 3 6 7 8 9 10 11 | (mode 6) 6: 0 2 5 6 7 8 9 10 11 | (mode 7) 8: 0 3 4 5 6 7 8 9 10 | (mode 8) 11: 0 1 2 3 4 5 6 7 9 | (mode 0) 0: 0 1 2 3 4 5 6 9 11 | (mode 1) 1: 0 1 2 3 4 5 8 10 11 | (mode 2) 2: 0 1 2 3 4 7 9 10 11 | (mode 3) 3: 0 1 2 3 6 8 9 10 11 | (mode 4) 4: 0 1 2 5 7 8 9 10 11 | mela 1 Kanakangi (mode 5) 5: 0 1 4 6 7 8 9 10 11 | (mode 6) 6: 0 3 5 6 7 8 9 10 11 | (mode 7) 9: 0 2 3 4 5 6 7 8 9 | (mode 8) 11: 0 1 2 3 4 5 6 7 10 | alt-chromaticized keep 0 7: (mode 0) 0: 0 1 2 3 4 5 9 | (mode 1) 1: 0 1 2 3 4 8 11 | (mode 2) 2: 0 1 2 3 7 10 11 | (mode 3) 3: 0 1 2 6 9 10 11 | (mode 4) 4: 0 1 5 8 9 10 11 | (mode 5) 5: 0 4 7 8 9 10 11 | (mode 6) 9: 0 3 4 5 6 7 8 | (mode 0) 0: 0 1 2 3 4 5 8 | (mode 1) 1: 0 1 2 3 4 7 11 | (mode 2) 2: 0 1 2 3 6 10 11 | (mode 3) 3: 0 1 2 5 9 10 11 | (mode 4) 4: 0 1 4 8 9 10 11 | (mode 5) 5: 0 3 7 8 9 10 11 | (mode 6) 8: 0 4 5 6 7 8 9 | (mode 0) 0: 0 1 2 3 4 5 7 | (mode 1) 1: 0 1 2 3 4 6 11 | (mode 2) 2: 0 1 2 3 5 10 11 | (mode 3) 3: 0 1 2 4 9 10 11 | (mode 4) 4: 0 1 3 8 9 10 11 | (mode 5) 5: 0 2 7 8 9 10 11 | (mode 6) 7: 0 5 6 7 8 9 10 | (mode 0) 0: 0 1 2 3 4 5 10 | (mode 1) 1: 0 1 2 3 4 9 11 | (mode 2) 2: 0 1 2 3 8 10 11 | (mode 3) 3: 0 1 2 7 9 10 11 | (mode 4) 4: 0 1 6 8 9 10 11 | (mode 5) 5: 0 5 7 8 9 10 11 | (mode 6) 10: 0 2 3 4 5 6 7 | (mode 0) 0: 0 1 2 3 4 5 6 11 | (mode 1) 1: 0 1 2 3 4 5 10 11 | (mode 2) 2: 0 1 2 3 4 9 10 11 | (mode 3) 3: 0 1 2 3 8 9 10 11 | (mode 4) 4: 0 1 2 7 8 9 10 11 | (mode 5) 5: 0 1 6 7 8 9 10 11 | (mode 6) 6: 0 5 6 7 8 9 10 11 | (mode 7) 11: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 0) 0: 0 1 2 3 4 5 7 8 | (mode 1) 1: 0 1 2 3 4 6 7 11 | (mode 2) 2: 0 1 2 3 5 6 10 11 | (mode 3) 3: 0 1 2 4 5 9 10 11 | (mode 4) 4: 0 1 3 4 8 9 10 11 | (mode 5) 5: 0 2 3 7 8 9 10 11 | (mode 6) 7: 0 1 5 6 7 8 9 10 | (mode 7) 8: 0 4 5 6 7 8 9 11 | (mode 0) 0: 0 1 2 3 4 5 8 9 | (mode 1) 1: 0 1 2 3 4 7 8 11 | (mode 2) 2: 0 1 2 3 6 7 10 11 | (mode 3) 3: 0 1 2 5 6 9 10 11 | (mode 4) 4: 0 1 4 5 8 9 10 11 | (mode 5) 5: 0 3 4 7 8 9 10 11 | (mode 6) 8: 0 1 4 5 6 7 8 9 | (mode 7) 9: 0 3 4 5 6 7 8 11 | (mode 0) 0: 0 1 2 3 4 5 7 10 | (mode 1) 1: 0 1 2 3 4 6 9 11 | (mode 2) 2: 0 1 2 3 5 8 10 11 | (mode 3) 3: 0 1 2 4 7 9 10 11 | (mode 4) 4: 0 1 3 6 8 9 10 11 | (mode 5) 5: 0 2 5 7 8 9 10 11 | (mode 6) 7: 0 3 5 6 7 8 9 10 | (mode 7) 10: 0 2 3 4 5 6 7 9 | (mode 0) 0: 0 1 2 3 4 5 9 10 | (mode 1) 1: 0 1 2 3 4 8 9 11 | (mode 2) 2: 0 1 2 3 7 8 10 11 | (mode 3) 3: 0 1 2 6 7 9 10 11 | (mode 4) 4: 0 1 5 6 8 9 10 11 | (mode 5) 5: 0 4 5 7 8 9 10 11 | (mode 6) 9: 0 1 3 4 5 6 7 8 | (mode 7) 10: 0 2 3 4 5 6 7 11 | (mode 0) 0: 0 1 2 3 4 5 6 7 11 | (mode 1) 1: 0 1 2 3 4 5 6 10 11 | (mode 2) 2: 0 1 2 3 4 5 9 10 11 | (mode 3) 3: 0 1 2 3 4 8 9 10 11 | (mode 4) 4: 0 1 2 3 7 8 9 10 11 | (mode 5) 5: 0 1 2 6 7 8 9 10 11 | (mode 6) 6: 0 1 5 6 7 8 9 10 11 | (mode 7) 7: 0 4 5 6 7 8 9 10 11 | (mode 8) 11: 0 1 2 3 4 5 6 7 8 | 1st 9 notes of chromatic scale (mode 0) 0: 0 1 2 3 4 5 6 7 10 11 | (mode 1) 1: 0 1 2 3 4 5 6 9 10 11 | (mode 2) 2: 0 1 2 3 4 5 8 9 10 11 | (mode 3) 3: 0 1 2 3 4 7 8 9 10 11 | (mode 4) 4: 0 1 2 3 6 7 8 9 10 11 | (mode 5) 5: 0 1 2 5 6 7 8 9 10 11 | (mode 6) 6: 0 1 4 5 6 7 8 9 10 11 | (mode 7) 7: 0 3 4 5 6 7 8 9 10 11 | (mode 8) 10: 0 1 2 3 4 5 6 7 8 9 | 1st 10 notes of chromatic scale (mode 9) 11: 0 1 2 3 4 5 6 7 8 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 3 4 5 9 | (mode 1) 1: 0 1 2 3 4 8 11 | (mode 2) 2: 0 1 2 3 7 10 11 | (mode 3) 3: 0 1 2 6 9 10 11 | (mode 4) 4: 0 1 5 8 9 10 11 | (mode 5) 5: 0 4 7 8 9 10 11 | (mode 6) 9: 0 3 4 5 6 7 8 | (mode 0) 0: 0 1 2 3 4 5 10 | (mode 1) 1: 0 1 2 3 4 9 11 | (mode 2) 2: 0 1 2 3 8 10 11 | (mode 3) 3: 0 1 2 7 9 10 11 | (mode 4) 4: 0 1 6 8 9 10 11 | (mode 5) 5: 0 5 7 8 9 10 11 | (mode 6) 10: 0 2 3 4 5 6 7 | (mode 0) 0: 0 1 2 3 4 5 8 | (mode 1) 1: 0 1 2 3 4 7 11 | (mode 2) 2: 0 1 2 3 6 10 11 | (mode 3) 3: 0 1 2 5 9 10 11 | (mode 4) 4: 0 1 4 8 9 10 11 | (mode 5) 5: 0 3 7 8 9 10 11 | (mode 6) 8: 0 4 5 6 7 8 9 | (mode 0) 0: 0 1 2 3 4 5 7 | (mode 1) 1: 0 1 2 3 4 6 11 | (mode 2) 2: 0 1 2 3 5 10 11 | (mode 3) 3: 0 1 2 4 9 10 11 | (mode 4) 4: 0 1 3 8 9 10 11 | (mode 5) 5: 0 2 7 8 9 10 11 | (mode 6) 7: 0 5 6 7 8 9 10 | (mode 0) 0: 0 1 2 3 4 5 6 11 | (mode 1) 1: 0 1 2 3 4 5 10 11 | (mode 2) 2: 0 1 2 3 4 9 10 11 | (mode 3) 3: 0 1 2 3 8 9 10 11 | (mode 4) 4: 0 1 2 7 8 9 10 11 | (mode 5) 5: 0 1 6 7 8 9 10 11 | (mode 6) 6: 0 5 6 7 8 9 10 11 | (mode 7) 11: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 0) 0: 0 1 2 3 4 5 7 10 | (mode 1) 1: 0 1 2 3 4 6 9 11 | (mode 2) 2: 0 1 2 3 5 8 10 11 | (mode 3) 3: 0 1 2 4 7 9 10 11 | (mode 4) 4: 0 1 3 6 8 9 10 11 | (mode 5) 5: 0 2 5 7 8 9 10 11 | (mode 6) 7: 0 3 5 6 7 8 9 10 | (mode 7) 10: 0 2 3 4 5 6 7 9 | (mode 0) 0: 0 1 2 3 4 5 6 7 11 | (mode 1) 1: 0 1 2 3 4 5 6 10 11 | (mode 2) 2: 0 1 2 3 4 5 9 10 11 | (mode 3) 3: 0 1 2 3 4 8 9 10 11 | (mode 4) 4: 0 1 2 3 7 8 9 10 11 | (mode 5) 5: 0 1 2 6 7 8 9 10 11 | (mode 6) 6: 0 1 5 6 7 8 9 10 11 | (mode 7) 7: 0 4 5 6 7 8 9 10 11 | (mode 8) 11: 0 1 2 3 4 5 6 7 8 | 1st 9 notes of chromatic scale (mode 0) 0: 0 1 2 3 4 5 6 9 10 11 | (mode 1) 1: 0 1 2 3 4 5 8 9 10 11 | (mode 2) 2: 0 1 2 3 4 7 8 9 10 11 | (mode 3) 3: 0 1 2 3 6 7 8 9 10 11 | (mode 4) 4: 0 1 2 5 6 7 8 9 10 11 | (mode 5) 5: 0 1 4 5 6 7 8 9 10 11 | (mode 6) 6: 0 3 4 5 6 7 8 9 10 11 | (mode 7) 9: 0 1 2 3 4 5 6 7 8 9 | 1st 10 notes of chromatic scale (mode 8) 10: 0 1 2 3 4 5 6 7 8 11 | (mode 9) 11: 0 1 2 3 4 5 6 7 10 11 | (mode 0) 0: 0 1 2 3 4 5 6 7 10 11 | (mode 1) 1: 0 1 2 3 4 5 6 9 10 11 | (mode 2) 2: 0 1 2 3 4 5 8 9 10 11 | (mode 3) 3: 0 1 2 3 4 7 8 9 10 11 | (mode 4) 4: 0 1 2 3 6 7 8 9 10 11 | (mode 5) 5: 0 1 2 5 6 7 8 9 10 11 | (mode 6) 6: 0 1 4 5 6 7 8 9 10 11 | (mode 7) 7: 0 3 4 5 6 7 8 9 10 11 | (mode 8) 10: 0 1 2 3 4 5 6 7 8 9 | 1st 10 notes of chromatic scale (mode 9) 11: 0 1 2 3 4 5 6 7 8 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11 1 1 1 0 1 2 3 4 11 = 0: 0 1 2 3 4 11 = 1: 0 1 2 3 10 11 = 2: 0 1 2 9 10 11 = 3: 0 1 8 9 10 11 = 4: 0 7 8 9 10 11 = 11: 0 1 2 3 4 5 1 2 2 0 1 2 3 10 11 = 0: 0 1 2 3 10 11 = 1: 0 1 2 9 10 11 = 2: 0 1 8 9 10 11 = 3: 0 7 8 9 10 11 = 10: 0 1 2 3 4 5 = 11: 0 1 2 3 4 11 1 5 5 0 7 8 9 10 11 = 0: 0 7 8 9 10 11 = 7: 0 1 2 3 4 5 = 8: 0 1 2 3 4 11 = 9: 0 1 2 3 10 11 = 10: 0 1 2 9 10 11 = 11: 0 1 8 9 10 11 Bright Layer Composition order pcset 1 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11 2 0 1 2 3 4 5 7 8 9 10 11 = 0: 0 1 2 3 4 5 7 8 9 10 11 = 1: 0 1 2 3 4 6 7 8 9 10 11 = 2: 0 1 2 3 5 6 7 8 9 10 11 = 3: 0 1 2 4 5 6 7 8 9 10 11 = 4: 0 1 3 4 5 6 7 8 9 10 11 = 5: 0 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 = 8: 0 1 2 3 4 5 6 7 8 9 11 = 9: 0 1 2 3 4 5 6 7 8 10 11 = 10: 0 1 2 3 4 5 6 7 9 10 11 = 11: 0 1 2 3 4 5 6 8 9 10 11 3 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 1 2 3 4 5 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 2 = 2 = 2: 0 3 = 3 = 3: 0 4 = 4 = 4: 0 5 = 5 = 5: 0 subchroma modal system: 0 1 0 1 = 0 1 = 0: 0 1 1: 0 11 1 2 = 1 2 = 1: 0 1 2: 0 11 2 3 = 2 3 = 2: 0 1 3: 0 11 3 4 = 3 4 = 3: 0 1 4: 0 11 4 5 = 4 5 = 4: 0 1 5: 0 11 5 0 = 0 5 = 0: 0 5 5: 0 7 subchroma modal system: 0 2 0 2 = 0 2 = 0: 0 2 2: 0 10 1 3 = 1 3 = 1: 0 2 3: 0 10 2 4 = 2 4 = 2: 0 2 4: 0 10 3 5 = 3 5 = 3: 0 2 5: 0 10 4 0 = 0 4 = 0: 0 4 4: 0 8 5 1 = 1 5 = 1: 0 4 5: 0 8 subchroma modal system: 0 3 0 3 = 0 3 = 0: 0 3 3: 0 9 1 4 = 1 4 = 1: 0 3 4: 0 9 2 5 = 2 5 = 2: 0 3 5: 0 9 3 0 = 0 3 = 0: 0 3 3: 0 9 4 1 = 1 4 = 1: 0 3 4: 0 9 5 2 = 2 5 = 2: 0 3 5: 0 9 subchroma modal system: 0 1 2 0 1 2 = 0 1 2 = 0: 0 1 2 1: 0 1 11 2: 0 10 11 1 2 3 = 1 2 3 = 1: 0 1 2 2: 0 1 11 3: 0 10 11 2 3 4 = 2 3 4 = 2: 0 1 2 3: 0 1 11 4: 0 10 11 3 4 5 = 3 4 5 = 3: 0 1 2 4: 0 1 11 5: 0 10 11 4 5 0 = 0 4 5 = 0: 0 4 5 5: 0 7 11 5 0 1 = 0 1 5 = 1: 0 4 11 5: 0 7 8 subchroma modal system: 0 1 3 0 1 3 = 0 1 3 = 0: 0 1 3 1: 0 2 11 1 2 4 = 1 2 4 = 1: 0 1 3 2: 0 2 11 2 3 5 = 2 3 5 = 2: 0 1 3 3: 0 2 11 3 4 0 = 0 3 4 = 0: 0 3 4 4 5 1 = 1 4 5 = 1: 0 3 4 5 0 2 = 0 2 5 = 2: 0 3 10 5: 0 7 9 subchroma modal system: 0 1 4 0 1 4 = 0 1 4 = 0: 0 1 4 1: 0 3 11 1 2 5 = 1 2 5 = 1: 0 1 4 2: 0 3 11 2 3 0 = 0 2 3 = 0: 0 2 3 3 4 1 = 1 3 4 = 1: 0 2 3 4 5 2 = 2 4 5 = 2: 0 2 3 5 0 3 = 0 3 5 = 0: 0 3 5 5: 0 7 10 subchroma modal system: 0 2 4 0 2 4 = 0 2 4 = 0: 0 2 4 1 3 5 = 1 3 5 = 1: 0 2 4 2 4 0 = 0 2 4 = 0: 0 2 4 3 5 1 = 1 3 5 = 1: 0 2 4 4 0 2 = 0 2 4 = 0: 0 2 4 5 1 3 = 1 3 5 = 1: 0 2 4 subchroma modal system: 0 1 2 3 0 1 2 3 = 0 1 2 3 = 0: 0 1 2 3 2: 0 1 10 11 3: 0 9 10 11 1 2 3 4 = 1 2 3 4 = 1: 0 1 2 3 3: 0 1 10 11 4: 0 9 10 11 2 3 4 5 = 2 3 4 5 = 2: 0 1 2 3 4: 0 1 10 11 5: 0 9 10 11 3 4 5 0 = 0 3 4 5 = 0: 0 3 4 5 5: 0 7 10 11 4 5 0 1 = 0 1 4 5 = 0: 0 1 4 5 1: 0 3 4 11 5: 0 7 8 11 5 0 1 2 = 0 1 2 5 = 1: 0 1 4 11 2: 0 3 10 11 5: 0 7 8 9 subchroma modal system: 0 1 2 4 0 1 2 4 = 0 1 2 4 = 0: 0 1 2 4 1: 0 1 3 11 2: 0 2 10 11 1 2 3 5 = 1 2 3 5 = 1: 0 1 2 4 2: 0 1 3 11 3: 0 2 10 11 2 3 4 0 = 0 2 3 4 = 0: 0 2 3 4 3 4 5 1 = 1 3 4 5 = 1: 0 2 3 4 4 5 0 2 = 0 2 4 5 = 0: 0 2 4 5 2: 0 2 3 10 5: 0 7 9 11 5 0 1 3 = 0 1 3 5 = 0: 0 1 3 5 1: 0 2 4 11 3: 0 2 9 10 5: 0 7 8 10 subchroma modal system: 0 1 3 4 0 1 3 4 = 0 1 3 4 = 0: 0 1 3 4 1: 0 2 3 11 1 2 4 5 = 1 2 4 5 = 1: 0 1 3 4 2: 0 2 3 11 2 3 5 0 = 0 2 3 5 = 0: 0 2 3 5 2: 0 1 3 10 3: 0 2 9 11 5: 0 7 9 10 3 4 0 1 = 0 1 3 4 = 0: 0 1 3 4 1: 0 2 3 11 4 5 1 2 = 1 2 4 5 = 1: 0 1 3 4 2: 0 2 3 11 5 0 2 3 = 0 2 3 5 = 0: 0 2 3 5 2: 0 1 3 10 3: 0 2 9 11 5: 0 7 9 10 subchroma modal system: 0 1 2 3 4 0 1 2 3 4 = 0 1 2 3 4 = 0: 0 1 2 3 4 1: 0 1 2 3 11 4: 0 8 9 10 11 1 2 3 4 5 = 1 2 3 4 5 = 1: 0 1 2 3 4 2: 0 1 2 3 11 5: 0 8 9 10 11 2 3 4 5 0 = 0 2 3 4 5 = 2: 0 1 2 3 10 5: 0 7 9 10 11 3 4 5 0 1 = 0 1 3 4 5 = 0: 0 1 3 4 5 1: 0 2 3 4 11 3: 0 1 2 9 10 5: 0 7 8 10 11 4 5 0 1 2 = 0 1 2 4 5 = 0: 0 1 2 4 5 1: 0 1 3 4 11 2: 0 2 3 10 11 5: 0 7 8 9 11 5 0 1 2 3 = 0 1 2 3 5 = 0: 0 1 2 3 5 1: 0 1 2 4 11 2: 0 1 3 10 11 3: 0 2 9 10 11 5: 0 7 8 9 10 subchroma modal system: 0 1 2 3 4 5 0 1 2 3 4 5 = 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 1: 0 1 2 3 4 11 2: 0 1 2 3 10 11 5: 0 7 8 9 10 11 1 2 3 4 5 0 = 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 1: 0 1 2 3 4 11 2: 0 1 2 3 10 11 5: 0 7 8 9 10 11 2 3 4 5 0 1 = 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 1: 0 1 2 3 4 11 2: 0 1 2 3 10 11 5: 0 7 8 9 10 11 3 4 5 0 1 2 = 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 1: 0 1 2 3 4 11 2: 0 1 2 3 10 11 5: 0 7 8 9 10 11 4 5 0 1 2 3 = 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 1: 0 1 2 3 4 11 2: 0 1 2 3 10 11 5: 0 7 8 9 10 11 5 0 1 2 3 4 = 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 1: 0 1 2 3 4 11 2: 0 1 2 3 10 11 5: 0 7 8 9 10 11 Subset Chord Types by Root Set 0 :0 5 0 :0 3 5 0 :0 4 5 0 :0 1 3 5 0 :0 1 4 5 0 :0 2 3 5 0 :0 2 4 5 0 :0 3 4 5 0 :0 1 2 3 5 0 :0 1 2 4 5 0 :0 1 3 4 5 0 :0 1 2 3 4 5 0 1 :0 4 0 1 :0 1 4 0 1 :0 2 4 0 1 :0 3 4 0 1 :0 1 2 4 0 1 :0 1 3 4 0 1 :0 2 3 4 0 1 :0 1 2 3 4 0 1 2 :0 3 0 1 2 :0 1 3 0 1 2 :0 2 3 0 1 2 :0 1 2 3 0 1 2 3 :0 2 0 1 2 3 :0 1 2 0 1 2 3 4 :0 1 0 1 2 3 4 5:0 1 :0 4 11 1 :0 1 4 11 1 :0 2 4 11 1 :0 3 4 11 1 :0 1 2 4 11 1 :0 1 3 4 11 1 :0 2 3 4 11 1 :0 1 2 3 4 11 1 2 :0 3 11 1 2 :0 1 3 11 1 2 :0 2 3 11 1 2 :0 1 2 3 11 1 2 3 :0 2 11 1 2 3 4 :0 1 11 1 2 3 4 5 :0 11 2 :0 3 10 2 :0 1 3 10 2 :0 2 3 10 2 :0 3 10 11 2 :0 1 2 3 10 2 :0 1 3 10 11 2 :0 2 3 10 11 2 :0 1 2 3 10 11 2 3 :0 2 10 11 2 3 4 :0 1 10 11 2 3 4 5 :0 10 2 3 4 5 :0 10 11 3 :0 2 9 10 3 :0 2 9 11 3 :0 1 2 9 10 3 :0 2 9 10 11 3 4 5 :0 9 3 4 5 :0 9 10 11 4 5 :0 8 4 5 :0 8 9 10 11 5 :0 7 5 :0 7 8 5 :0 7 9 5 :0 7 10 5 :0 7 11 5 :0 7 8 9 5 :0 7 8 10 5 :0 7 8 11 5 :0 7 9 10 5 :0 7 9 11 5 :0 7 10 11 5 :0 7 8 9 10 5 :0 7 8 9 11 5 :0 7 8 10 11 5 :0 7 9 10 11 5 :0 7 8 9 10 11 Superset Chord Types by Root Set 0 :0 1 2 3 4 5 0 :0 1 2 3 4 5 7 0 :0 1 2 3 4 5 10 0 :0 1 2 3 4 5 7 8 0 :0 1 2 3 4 5 7 9 0 :0 1 2 3 4 5 7 10 0 :0 1 2 3 4 5 7 8 9 0 :0 1 2 3 4 5 7 8 10 0 :0 1 2 3 4 5 7 9 10 0 :0 1 2 3 4 5 7 8 9 10 0 1 :0 1 2 3 4 5 7 11 0 1 :0 1 2 3 4 5 7 8 11 0 1 :0 1 2 3 4 5 7 9 11 0 1 :0 1 2 3 4 5 7 8 9 11 0 1 2 :0 1 2 3 4 5 7 10 11 0 1 2 :0 1 2 3 4 5 7 8 10 11 0 1 2 3 :0 1 2 3 4 5 7 9 10 11 0 1 2 3 4 :0 1 2 3 4 5 8 9 10 11 0 1 2 3 4 5 :0 1 2 3 4 5 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11:0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 11 :0 1 2 3 4 5 6 8 9 10 11 0 1 2 3 10 11 :0 1 2 3 4 5 6 7 9 10 11 0 1 2 3 11 :0 1 2 3 4 5 6 9 10 11 0 1 2 9 10 11 :0 1 2 3 4 5 6 7 8 10 11 0 1 2 10 11 :0 1 2 3 4 5 6 7 10 11 0 1 2 11 :0 1 2 3 4 5 6 8 10 11 0 1 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 11 0 1 9 10 11 :0 1 2 3 4 5 6 7 8 11 0 1 10 11 :0 1 2 3 4 5 6 7 11 0 1 10 11 :0 1 2 3 4 5 6 7 9 11 0 1 11 :0 1 2 3 4 5 6 8 9 11 0 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 10 0 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 0 9 10 11 :0 1 2 3 4 5 6 7 8 0 9 10 11 :0 1 2 3 4 5 6 7 8 10 0 10 11 :0 1 2 3 4 5 6 7 0 10 11 :0 1 2 3 4 5 6 7 9 0 10 11 :0 1 2 3 4 5 6 7 10 0 10 11 :0 1 2 3 4 5 6 7 9 10 0 11 :0 1 2 3 4 5 6 0 11 :0 1 2 3 4 5 6 10 0 11 :0 1 2 3 4 5 6 8 10 0 11 :0 1 2 3 4 5 6 9 10 0 11 :0 1 2 3 4 5 6 8 9 10 1 :0 1 2 3 4 11 1 :0 1 2 3 4 7 11 1 :0 1 2 3 4 8 11 1 :0 1 2 3 4 9 11 1 :0 1 2 3 4 6 7 11 1 :0 1 2 3 4 7 8 11 1 :0 1 2 3 4 7 9 11 1 :0 1 2 3 4 6 7 8 11 1 :0 1 2 3 4 6 7 9 11 1 :0 1 2 3 4 7 8 9 11 1 :0 1 2 3 4 6 7 8 9 11 1 2 :0 1 2 3 4 10 11 1 2 :0 1 2 3 4 7 10 11 1 2 :0 1 2 3 4 8 10 11 1 2 :0 1 2 3 4 6 7 10 11 1 2 :0 1 2 3 4 6 8 10 11 1 2 :0 1 2 3 4 7 8 10 11 1 2 :0 1 2 3 4 6 7 8 10 11 1 2 3 :0 1 2 3 4 9 10 11 1 2 3 :0 1 2 3 4 7 9 10 11 1 2 3 :0 1 2 3 4 6 7 9 10 11 1 2 3 4 :0 1 2 3 4 6 8 9 10 11 1 2 3 4 5 :0 1 2 3 4 7 8 9 10 11 1 2 3 4 5 6 :0 1 2 3 4 6 7 8 9 10 11 2 :0 1 2 3 10 11 2 :0 1 2 3 6 10 11 2 :0 1 2 3 7 10 11 2 :0 1 2 3 5 7 10 11 2 :0 1 2 3 6 7 10 11 2 :0 1 2 3 7 8 10 11 2 :0 1 2 3 5 6 7 10 11 2 :0 1 2 3 5 7 8 10 11 2 :0 1 2 3 6 7 8 10 11 2 :0 1 2 3 5 6 7 8 10 11 2 3 :0 1 2 3 7 9 10 11 2 3 :0 1 2 3 5 7 9 10 11 2 3 :0 1 2 3 6 7 9 10 11 2 3 :0 1 2 3 5 6 7 9 10 11 2 3 4 :0 1 2 3 5 6 8 9 10 11 2 3 4 5 :0 1 2 3 7 8 9 10 11 2 3 4 5 :0 1 2 3 5 7 8 9 10 11 2 3 4 5 6 :0 1 2 3 6 7 8 9 10 11 2 3 4 5 6 7 :0 1 2 3 5 6 7 8 9 10 11 3 :0 1 2 4 9 10 11 3 :0 1 2 7 9 10 11 3 :0 1 2 4 7 9 10 11 3 :0 1 2 5 7 9 10 11 3 :0 1 2 6 7 9 10 11 3 :0 1 2 4 5 7 9 10 11 3 :0 1 2 4 6 7 9 10 11 3 :0 1 2 4 5 6 7 9 10 11 3 4 :0 1 2 4 5 6 8 9 10 11 3 4 5 :0 1 2 7 8 9 10 11 3 4 5 :0 1 2 5 7 8 9 10 11 3 4 5 :0 1 2 4 7 8 9 10 11 3 4 5 :0 1 2 4 5 7 8 9 10 11 3 4 5 6 :0 1 2 6 7 8 9 10 11 3 4 5 6 :0 1 2 4 6 7 8 9 10 11 3 4 5 6 7 :0 1 2 5 6 7 8 9 10 11 3 4 5 6 7 8 :0 1 2 4 5 6 7 8 9 10 11 4 :0 1 3 4 8 9 10 11 4 :0 1 3 4 5 6 8 9 10 11 4 5 :0 1 7 8 9 10 11 4 5 :0 1 3 7 8 9 10 11 4 5 :0 1 4 7 8 9 10 11 4 5 :0 1 5 7 8 9 10 11 4 5 :0 1 3 4 7 8 9 10 11 4 5 :0 1 3 5 7 8 9 10 11 4 5 :0 1 4 5 7 8 9 10 11 4 5 :0 1 3 4 5 7 8 9 10 11 4 5 6 :0 1 6 7 8 9 10 11 4 5 6 :0 1 3 6 7 8 9 10 11 4 5 6 :0 1 4 6 7 8 9 10 11 4 5 6 :0 1 3 4 6 7 8 9 10 11 4 5 6 7 :0 1 3 5 6 7 8 9 10 11 4 5 6 7 8 :0 1 4 5 6 7 8 9 10 11 4 5 6 7 8 9 :0 1 3 4 5 6 7 8 9 10 11 5 :0 7 8 9 10 11 5 :0 2 7 8 9 10 11 5 :0 3 7 8 9 10 11 5 :0 4 7 8 9 10 11 5 :0 5 7 8 9 10 11 5 :0 2 3 7 8 9 10 11 5 :0 2 4 7 8 9 10 11 5 :0 3 4 7 8 9 10 11 5 :0 2 5 7 8 9 10 11 5 :0 3 5 7 8 9 10 11 5 :0 4 5 7 8 9 10 11 5 :0 2 3 4 7 8 9 10 11 5 :0 2 3 5 7 8 9 10 11 5 :0 2 4 5 7 8 9 10 11 5 :0 3 4 5 7 8 9 10 11 5 :0 2 3 4 5 7 8 9 10 11 5 6 :0 6 7 8 9 10 11 5 6 :0 2 6 7 8 9 10 11 5 6 :0 3 6 7 8 9 10 11 5 6 :0 4 6 7 8 9 10 11 5 6 :0 2 3 6 7 8 9 10 11 5 6 :0 2 4 6 7 8 9 10 11 5 6 :0 3 4 6 7 8 9 10 11 5 6 :0 2 3 4 6 7 8 9 10 11 5 6 7 :0 3 5 6 7 8 9 10 11 5 6 7 :0 2 3 5 6 7 8 9 10 11 5 6 7 8 :0 4 5 6 7 8 9 10 11 5 6 7 8 :0 2 4 5 6 7 8 9 10 11 5 6 7 8 9 :0 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 :0 2 3 4 5 6 7 8 9 10 11 7 :0 2 5 6 7 8 9 10 7 :0 3 5 6 7 8 9 10 7 :0 1 3 5 6 7 8 9 10 7 :0 2 3 5 6 7 8 9 10 7 :0 1 2 3 5 6 7 8 9 10 7 8 :0 4 5 6 7 8 9 10 7 8 :0 1 4 5 6 7 8 9 10 7 8 :0 2 4 5 6 7 8 9 10 7 8 :0 1 2 4 5 6 7 8 9 10 7 8 9 :0 3 4 5 6 7 8 9 10 7 8 9 :0 1 3 4 5 6 7 8 9 10 7 8 9 10 :0 2 3 4 5 6 7 8 9 10 8 :0 4 5 6 7 8 9 8 :0 1 4 5 6 7 8 9 8 :0 1 2 4 5 6 7 8 9 8 :0 1 4 5 6 7 8 9 11 8 :0 2 4 5 6 7 8 9 11 8 :0 1 2 4 5 6 7 8 9 11 8 9 :0 3 4 5 6 7 8 9 11 8 9 :0 1 3 4 5 6 7 8 9 11 8 9 10 :0 2 3 4 5 6 7 8 9 8 9 10 :0 2 3 4 5 6 7 8 9 11 9 :0 3 4 5 6 7 8 9 :0 1 3 4 5 6 7 8 9 :0 3 4 5 6 7 8 10 9 :0 3 4 5 6 7 8 11 9 :0 1 3 4 5 6 7 8 10 9 :0 1 3 4 5 6 7 8 11 9 :0 3 4 5 6 7 8 10 11 9 :0 1 3 4 5 6 7 8 10 11 9 10 :0 2 3 4 5 6 7 8 9 10 :0 2 3 4 5 6 7 8 10 9 10 :0 2 3 4 5 6 7 8 11 9 10 :0 2 3 4 5 6 7 8 10 11 10 :0 2 3 4 5 6 7 10 :0 2 3 4 5 6 7 10 10 :0 2 3 4 5 6 7 11 10 :0 2 3 4 5 6 7 9 10 :0 2 3 4 5 6 7 9 10 10 :0 2 3 4 5 6 7 9 11 10 :0 2 3 4 5 6 7 10 11 10 :0 2 3 4 5 6 7 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 0 1 2 3 4 = 0: 0 1 2 3 4 = 1: 0 1 2 3 11 = 2: 0 1 2 10 11 = 3: 0 1 9 10 11 = 4: 0 8 9 10 11 0 2 = maj. 2nd, dim., maj. 9th | 0 1 2 3 = 0: 0 1 2 3 = 1: 0 1 2 11 = 2: 0 1 10 11 = 3: 0 9 10 11 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 4 = maj. 3rd, maj. 10th, dim. 4th | 0 1 = 0: 0 1 = 1: 0 11 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 0 = 0: 0 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 5 = 5: 0 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 4 5 = 4: 0 1 = 5: 0 11 0 9 = maj. 6th, maj. 13th, dim. 7th | 3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 2 3 4 5 = 2: 0 1 2 3 = 3: 0 1 2 11 = 4: 0 1 10 11 = 5: 0 9 10 11 0 11 = maj. 7th, maj. 14th | 1 2 3 4 5 = 1: 0 1 2 3 4 = 2: 0 1 2 3 11 = 3: 0 1 2 10 11 = 4: 0 1 9 10 11 = 5: 0 8 9 10 11 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 0 1 2 3 = 0: 0 1 2 3 = 1: 0 1 2 11 = 2: 0 1 10 11 = 3: 0 9 10 11 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 1 4 | 0 1 = 0: 0 1 = 1: 0 11 0 2 3 = min. trichord | 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 2 4 = maj. trichord | 0 1 = 0: 0 1 = 1: 0 11 0 3 4 | 0 1 = 0: 0 1 = 1: 0 11 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 1 2 3 4 = 1: 0 1 2 3 = 2: 0 1 2 11 = 3: 0 1 10 11 = 4: 0 9 10 11 0 2 11 | 1 2 3 = 1: 0 1 2 = 2: 0 1 11 = 3: 0 10 11 Scale Degrees: 134 0 3 5 | 0 = 0: 0 0 4 5 | 0 = 0: 0 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 2 = 2: 0 0 3 11 = mM7 no 5th | 1 2 = 1: 0 1 = 2: 0 11 0 4 11 = M7 no 5th | 1 = 1: 0 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 5 = 5: 0 0 7 9 | 5 = 5: 0 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 5 = 5: 0 0 7 11 = M power chord | 5 = 5: 0 Scale Degrees: 167 0 10 11 | 2 3 4 5 = 2: 0 1 2 3 = 3: 0 1 2 11 = 4: 0 1 10 11 = 5: 0 9 10 11 chromatic tetrachord (Scale Degrees: 1223) 0 1 2 3 = chromatic tetrachord | 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 1 2 4 | 0 1 = 0: 0 1 = 1: 0 11 0 1 3 4 = 1st 4 aux dim. | 0 1 = 0: 0 1 = 1: 0 11 0 2 3 4 | 0 1 = 0: 0 1 = 1: 0 11 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 0 = 0: 0 0 1 4 5 = Greek chromatic tetrachord | 0 = 0: 0 0 2 3 5 = min. tetrachord | 0 = 0: 0 0 2 4 5 = maj. tetrachord | 0 = 0: 0 0 3 4 5 | 0 = 0: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 2 = 2: 0 0 1 3 11 = Mm7b9 no 5th | 1 2 = 1: 0 1 = 2: 0 11 0 1 4 11 = M7b9 no 5th | 1 = 1: 0 0 2 3 10 = m9 no 5th | 2 = 2: 0 0 2 3 11 = mM9 no 5th | 1 2 = 1: 0 1 = 2: 0 11 0 2 4 11 = M9 no 5th | 1 = 1: 0 0 3 4 11 = M7#9 no 5th | 1 = 1: 0 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 1 10 11 | 2 3 4 = 2: 0 1 2 = 3: 0 1 11 = 4: 0 10 11 0 2 9 10 | 3 = 3: 0 0 2 9 11 | 3 = 3: 0 0 2 10 11 | 2 3 = 2: 0 1 = 3: 0 11 6/7 chords no 5th (Scale Degrees: 1367) 0 3 10 11 = mM7#6 no 5th | 2 = 2: 0 Scale Degrees: 1566 0 7 8 9 | 5 = 5: 0 Scale Degrees: 1567 0 7 8 10 | 5 = 5: 0 0 7 8 11 | 5 = 5: 0 0 7 9 10 | 5 = 5: 0 0 7 9 11 | 5 = 5: 0 0 7 10 11 | 5 = 5: 0 Scale Degrees: 1667 0 9 10 11 | 3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11 chromatic pentachord (Scale Degrees: 12233) 0 1 2 3 4 = 1st 5 chromatics | 0 1 = 0: 0 1 = 1: 0 11 Scale Degrees: 12234 0 1 2 3 5 | 0 = 0: 0 0 1 2 4 5 | 0 = 0: 0 0 1 3 4 5 | 0 = 0: 0 Scale Degrees: 12237 0 1 2 3 10 | 2 = 2: 0 0 1 2 3 11 | 1 2 = 1: 0 1 = 2: 0 11 0 1 2 4 11 | 1 = 1: 0 0 1 3 4 11 | 1 = 1: 0 0 2 3 4 11 | 1 = 1: 0 Scale Degrees: 12267 0 1 2 9 10 | 3 = 3: 0 13th chords no 5th no 11th (Scale Degrees: 12367) 0 1 3 10 11 = mM#13b9 no 5th no 11th | 2 = 2: 0 0 2 3 10 11 = m#13 no 5th no 11th | 2 = 2: 0 Scale Degrees: 12667 0 2 9 10 11 | 3 = 3: 0 Scale Degrees: 15667 0 7 8 9 10 | 5 = 5: 0 0 7 8 9 11 | 5 = 5: 0 0 7 8 10 11 | 5 = 5: 0 0 7 9 10 11 | 5 = 5: 0 Scale Degrees: 16677 0 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 chromatic hexachord (Scale Degrees: 122334) 0 1 2 3 4 5 = 1st 6 chromatics, type A ACH | 0 = 0: 0 Scale Degrees: 122337 0 1 2 3 4 11 | 1 = 1: 0 Scale Degrees: 122367 0 1 2 3 10 11 | 2 = 2: 0 Scale Degrees: 156677 0 7 8 9 10 11 | 5 = 5: 0 Superset Chord Types By Family Chord Type Roots chromatic hexachord (Scale Degrees: 122334) 0 1 2 3 4 5 = 1st 6 chromatics, type A ACH | 0 = 0: 0 Scale Degrees: 122337 0 1 2 3 4 11 | 1 = 1: 0 Scale Degrees: 122367 0 1 2 3 10 11 | 2 = 2: 0 Scale Degrees: 156677 0 7 8 9 10 11 | 5 = 5: 0 chromatic septachord (Scale Degrees: 1223345) 0 1 2 3 4 5 6 = 1st 7 chromatics | 0 11 = 0: 0 11 = 11: 0 1 0 1 2 3 4 5 7 | 0 = 0: 0 Scale Degrees: 1223347 0 1 2 3 4 5 10 | 0 = 0: 0 Scale Degrees: 1223357 0 1 2 3 4 7 11 | 1 = 1: 0 0 1 2 3 4 8 11 | 1 = 1: 0 Scale Degrees: 1223367 0 1 2 3 4 9 11 | 1 = 1: 0 0 1 2 3 4 10 11 | 1 2 = 1: 0 1 = 2: 0 11 Scale Degrees: 1223445 0 2 3 4 5 6 7 | 10 = 10: 0 Scale Degrees: 1223567 0 1 2 3 6 10 11 | 2 = 2: 0 0 1 2 3 7 10 11 | 2 = 2: 0 Scale Degrees: 1223667 0 1 2 4 9 10 11 | 3 = 3: 0 Scale Degrees: 1225667 0 1 2 7 9 10 11 | 3 = 3: 0 Scale Degrees: 1234456 0 3 4 5 6 7 8 | 9 = 9: 0 Scale Degrees: 1256677 0 1 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 2 7 8 9 10 11 | 5 = 5: 0 Scale Degrees: 1344566 0 4 5 6 7 8 9 | 8 = 8: 0 Scale Degrees: 1356677 0 3 7 8 9 10 11 | 5 = 5: 0 0 4 7 8 9 10 11 | 5 = 5: 0 Scale Degrees: 1456677 0 5 7 8 9 10 11 | 5 = 5: 0 0 6 7 8 9 10 11 | 5 6 = 5: 0 1 = 6: 0 11 chromatic octachord (Scale Degrees: 12223445) 0 1 2 3 4 5 6 7 = 1st 8 chromatics | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 Scale Degrees: 12223456 0 1 2 3 4 5 7 8 | 0 = 0: 0 0 1 2 3 4 5 7 9 | 0 = 0: 0 Scale Degrees: 12223457 0 1 2 3 4 5 7 10 | 0 = 0: 0 0 1 2 3 4 5 7 11 | 0 1 = 0: 0 1 = 1: 0 11 0 1 2 3 4 6 7 11 | 1 = 1: 0 Scale Degrees: 12223567 0 1 2 3 4 7 8 11 | 1 = 1: 0 0 1 2 3 4 7 9 11 | 1 = 1: 0 0 1 2 3 4 7 10 11 | 1 2 = 1: 0 1 = 2: 0 11 0 1 2 3 4 8 10 11 | 1 2 = 1: 0 1 = 2: 0 11 Scale Degrees: 12223667 0 1 2 3 4 9 10 11 | 1 2 3 = 1: 0 1 2 = 2: 0 1 11 = 3: 0 10 11 Scale Degrees: 12233457 0 1 2 3 4 5 6 10 | 0 11 = 0: 0 11 = 11: 0 1 Scale Degrees: 12234456 0 1 3 4 5 6 7 8 | 9 = 9: 0 Scale Degrees: 12234457 0 2 3 4 5 6 7 10 | 10 = 10: 0 0 2 3 4 5 6 7 11 | 10 = 10: 0 diamorphic with supplementary 2nd (Scale Degrees: 12234567) 0 1 2 3 5 7 10 11 | 2 = 2: 0 0 1 2 3 6 7 10 11 | 2 = 2: 0 Scale Degrees: 12235667 0 1 2 3 7 8 10 11 | 2 = 2: 0 0 1 2 3 7 9 10 11 | 2 3 = 2: 0 1 = 3: 0 11 0 1 2 4 7 9 10 11 | 3 = 3: 0 0 1 3 4 8 9 10 11 | 4 = 4: 0 Scale Degrees: 12245667 0 1 2 5 7 9 10 11 | 3 = 3: 0 0 1 2 6 7 9 10 11 | 3 = 3: 0 Scale Degrees: 12256677 0 1 2 7 8 9 10 11 | 3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11 chromatic nonachord (Scale Degrees: 12344456) 0 2 3 4 5 6 7 8 | 9 10 = 9: 0 1 = 10: 0 11 0 2 3 4 5 6 7 9 | 10 = 10: 0 diamorphic with supplementary 4th (Scale Degrees: 12344567) 0 1 4 5 6 7 8 9 | 8 = 8: 0 0 3 4 5 6 7 8 10 | 9 = 9: 0 0 3 4 5 6 7 8 11 | 9 = 9: 0 Scale Degrees: 12356677 0 1 3 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 1 4 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 2 3 7 8 9 10 11 | 5 = 5: 0 0 2 4 7 8 9 10 11 | 5 = 5: 0 0 3 4 7 8 9 10 11 | 5 = 5: 0 Scale Degrees: 12445667 0 2 5 6 7 8 9 10 | 7 = 7: 0 Scale Degrees: 12456677 0 1 5 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 1 6 7 8 9 10 11 | 4 5 6 = 4: 0 1 2 = 5: 0 1 11 = 6: 0 10 11 0 2 5 7 8 9 10 11 | 5 = 5: 0 0 2 6 7 8 9 10 11 | 5 6 = 5: 0 1 = 6: 0 11 Scale Degrees: 13445667 0 3 5 6 7 8 9 10 | 7 = 7: 0 0 4 5 6 7 8 9 10 | 7 8 = 7: 0 1 = 8: 0 11 Scale Degrees: 13456677 0 3 5 7 8 9 10 11 | 5 = 5: 0 0 3 6 7 8 9 10 11 | 5 6 = 5: 0 1 = 6: 0 11 0 4 5 7 8 9 10 11 | 5 = 5: 0 0 4 6 7 8 9 10 11 | 5 6 = 5: 0 1 = 6: 0 11 Scale Degrees: 122334456 0 1 2 3 4 5 6 7 8 = 1st 9chromatics | 0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11 0 1 2 3 4 5 6 7 9 | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 Scale Degrees: 122334457 0 1 2 3 4 5 6 7 10 | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 1 2 3 4 5 6 7 11 | 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 Scale Degrees: 122334566 0 1 2 3 4 5 7 8 9 | 0 = 0: 0 diamorphic with supplementary 2nd, 3rd (Scale Degrees: 122334567) 0 1 2 3 4 5 6 8 10 = whole tone & locrian | 0 11 = 0: 0 11 = 11: 0 1 0 1 2 3 4 5 6 9 10 | 0 11 = 0: 0 11 = 11: 0 1 0 1 2 3 4 5 7 8 10 | 0 = 0: 0 0 1 2 3 4 5 7 8 11 | 0 1 = 0: 0 1 = 1: 0 11 0 1 2 3 4 5 7 9 10 | 0 = 0: 0 0 1 2 3 4 5 7 9 11 | 0 1 = 0: 0 1 = 1: 0 11 0 1 2 3 4 5 7 10 11 | 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 1 2 3 4 6 7 8 11 | 1 = 1: 0 0 1 2 3 4 6 7 9 11 | 1 = 1: 0 0 1 2 3 4 6 7 10 11 | 1 2 = 1: 0 1 = 2: 0 11 0 1 2 3 4 6 8 10 11 | 1 2 = 1: 0 1 = 2: 0 11 Scale Degrees: 122335667 0 1 2 3 4 7 8 9 11 | 1 = 1: 0 0 1 2 3 4 7 8 10 11 | 1 2 = 1: 0 1 = 2: 0 11 0 1 2 3 4 7 9 10 11 | 1 2 3 = 1: 0 1 2 = 2: 0 1 11 = 3: 0 10 11 Scale Degrees: 122344566 0 1 2 4 5 6 7 8 9 | 8 = 8: 0 0 2 3 4 5 6 7 8 9 | 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 diamorphic with supplementary 2nd, 4th (Scale Degrees: 122344567) 0 1 2 3 5 6 7 10 11 | 2 = 2: 0 0 1 3 4 5 6 7 8 10 | 9 = 9: 0 0 1 3 4 5 6 7 8 11 | 9 = 9: 0 0 2 3 4 5 6 7 8 10 = whole tone & aeolean | 9 10 = 9: 0 1 = 10: 0 11 0 2 3 4 5 6 7 8 11 | 9 10 = 9: 0 1 = 10: 0 11 0 2 3 4 5 6 7 9 10 | 10 = 10: 0 0 2 3 4 5 6 7 9 11 = lydian & mel. min. | 10 = 10: 0 0 2 3 4 5 6 7 10 11 | 10 = 10: 0 diamorphic with supplementary 2nd, 6th (Scale Degrees: 122345667) 0 1 2 3 5 7 8 10 11 = phrygian & harm. min. | 2 = 2: 0 0 1 2 3 5 7 9 10 11 | 2 3 = 2: 0 1 = 3: 0 11 0 1 2 3 6 7 8 10 11 | 2 = 2: 0 0 1 2 3 6 7 9 10 11 | 2 3 = 2: 0 1 = 3: 0 11 0 1 2 4 5 7 9 10 11 | 3 = 3: 0 0 1 2 4 6 7 9 10 11 | 3 = 3: 0 Scale Degrees: 122356677 0 1 3 4 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 2 3 4 7 8 9 10 11 | 5 = 5: 0 Scale Degrees: 122456677 0 1 2 5 7 8 9 10 11 = Kanakangi | 3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11 0 1 2 6 7 8 9 10 11 | 3 4 5 6 = 3: 0 1 2 3 = 4: 0 1 2 11 = 5: 0 1 10 11 = 6: 0 9 10 11 Scale Degrees: 123356677 0 1 2 3 7 8 9 10 11 | 2 3 4 5 = 2: 0 1 2 3 = 3: 0 1 2 11 = 4: 0 1 10 11 = 5: 0 9 10 11 0 1 2 4 7 8 9 10 11 | 3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11 diamorphic with supplementary 4th, 6th (Scale Degrees: 123445667) 0 1 3 5 6 7 8 9 10 | 7 = 7: 0 0 1 4 5 6 7 8 9 10 | 7 8 = 7: 0 1 = 8: 0 11 0 1 4 5 6 7 8 9 11 | 8 = 8: 0 0 2 3 5 6 7 8 9 10 | 7 = 7: 0 0 2 4 5 6 7 8 9 10 = whole tone & mixolydian | 7 8 = 7: 0 1 = 8: 0 11 0 2 4 5 6 7 8 9 11 | 8 = 8: 0 diamorphic with supplementary 4th, 7th (Scale Degrees: 123445677) 0 3 4 5 6 7 8 9 10 | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 3 4 5 6 7 8 9 11 | 8 9 = 8: 0 1 = 9: 0 11 0 3 4 5 6 7 8 10 11 | 9 = 9: 0 diamorphic with supplementary 6th, 7th (Scale Degrees: 123456677) 0 1 3 5 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 1 3 6 7 8 9 10 11 | 4 5 6 = 4: 0 1 2 = 5: 0 1 11 = 6: 0 10 11 0 1 4 5 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 1 4 6 7 8 9 10 11 | 4 5 6 = 4: 0 1 2 = 5: 0 1 11 = 6: 0 10 11 0 2 3 5 7 8 9 10 11 = dorian & harm. min., aeolean & mel. min. | 5 = 5: 0 0 2 3 6 7 8 9 10 11 | 5 6 = 5: 0 1 = 6: 0 11 0 2 4 5 7 8 9 10 11 | 5 = 5: 0 0 2 4 6 7 8 9 10 11 = whole tone & lydian | 5 6 = 5: 0 1 = 6: 0 11 0 3 4 5 7 8 9 10 11 | 5 = 5: 0 0 3 4 6 7 8 9 10 11 | 5 6 = 5: 0 1 = 6: 0 11 Scale Degrees: 134456667 0 3 5 6 7 8 9 10 11 | 5 6 7 = 5: 0 1 2 = 6: 0 1 11 = 7: 0 10 11 Scale Degrees: 134456677 0 4 5 6 7 8 9 10 11 | 5 6 7 8 = 5: 0 1 2 3 = 6: 0 1 2 11 = 7: 0 1 10 11 = 8: 0 9 10 11 chromatic decachord (Scale Degrees: 1223344566) 0 1 2 3 4 5 6 7 8 9 = 1st 10 chromatics | 0 8 9 10 11 = 0: 0 8 9 10 11 = 8: 0 1 2 3 4 = 9: 0 1 2 3 11 = 10: 0 1 2 10 11 = 11: 0 1 9 10 11 diamorphic with supplementary 2nd, 3rd, 4th (Scale Degrees: 1223344567) 0 1 2 3 4 5 6 7 8 10 = whole tone & phrygian | 0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11 0 1 2 3 4 5 6 7 8 11 | 0 1 9 10 11 = 0: 0 1 9 10 11 = 1: 0 8 9 10 11 = 9: 0 1 2 3 4 = 10: 0 1 2 3 11 = 11: 0 1 2 10 11 0 1 2 3 4 5 6 7 9 10 = auxdim. scale & dorian | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 1 2 3 4 5 6 7 9 11 | 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 0 1 2 3 4 5 6 7 10 11 | 0 1 2 10 11 = 0: 0 1 2 10 11 = 1: 0 1 9 10 11 = 2: 0 8 9 10 11 = 10: 0 1 2 3 4 = 11: 0 1 2 3 11 diamorphic with supplementary 2nd, 3rd, 6th (Scale Degrees: 1223345667) 0 1 2 3 4 5 6 8 9 10 | 0 11 = 0: 0 11 = 11: 0 1 0 1 2 3 4 5 6 8 9 11 | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 0 1 2 3 4 5 6 8 10 11 | 0 1 2 11 = 0: 0 1 2 11 = 1: 0 1 10 11 = 2: 0 9 10 11 = 11: 0 1 2 3 0 1 2 3 4 5 6 9 10 11 | 0 1 2 3 11 = 0: 0 1 2 3 11 = 1: 0 1 2 10 11 = 2: 0 1 9 10 11 = 3: 0 8 9 10 11 = 11: 0 1 2 3 4 0 1 2 3 4 5 7 8 9 10 = mixophrygian | 0 = 0: 0 0 1 2 3 4 5 7 8 9 11 = 014589 & mel. min. | 0 1 = 0: 0 1 = 1: 0 11 0 1 2 3 4 5 7 8 10 11 | 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 1 2 3 4 5 7 9 10 11 | 0 1 2 3 = 0: 0 1 2 3 = 1: 0 1 2 11 = 2: 0 1 10 11 = 3: 0 9 10 11 0 1 2 3 4 5 8 9 10 11 | 0 1 2 3 4 = 0: 0 1 2 3 4 = 1: 0 1 2 3 11 = 2: 0 1 2 10 11 = 3: 0 1 9 10 11 = 4: 0 8 9 10 11 0 1 2 3 4 6 7 8 9 11 = 10 in 5ths | 1 = 1: 0 0 1 2 3 4 6 7 8 10 11 | 1 2 = 1: 0 1 = 2: 0 11 0 1 2 3 4 6 7 9 10 11 = auxdim. scale & lydian | 1 2 3 = 1: 0 1 2 = 2: 0 1 11 = 3: 0 10 11 0 1 2 3 4 6 8 9 10 11 | 1 2 3 4 = 1: 0 1 2 3 = 2: 0 1 2 11 = 3: 0 1 10 11 = 4: 0 9 10 11 Scale Degrees: 1223356667 0 1 2 3 4 7 8 9 10 11 | 1 2 3 4 5 = 1: 0 1 2 3 4 = 2: 0 1 2 3 11 = 3: 0 1 2 10 11 = 4: 0 1 9 10 11 = 5: 0 8 9 10 11 diamorphic with supplementary 2nd, 4th, 6th (Scale Degrees: 1223445667) 0 1 2 3 5 6 7 8 9 10 = locridorian | 7 = 7: 0 0 1 2 3 5 6 7 8 10 11 = locrian & harm. min. | 2 = 2: 0 0 1 2 3 5 6 7 9 10 11 = 12569A & mel. min. | 2 3 = 2: 0 1 = 3: 0 11 0 1 2 3 5 6 8 9 10 11 = dim. scale & locrian | 2 3 4 = 2: 0 1 2 = 3: 0 1 11 = 4: 0 10 11 0 1 2 4 5 6 7 8 9 10 | 7 8 = 7: 0 1 = 8: 0 11 0 1 2 4 5 6 7 8 9 11 | 8 = 8: 0 0 1 2 4 5 6 7 9 10 11 = 12569A & bebop maj. | 3 = 3: 0 0 1 2 4 5 6 8 9 10 11 | 3 4 = 3: 0 1 = 4: 0 11 0 1 3 4 5 6 7 8 9 10 = auxdim. scale & phrygian, 014589 & auxdim. scale | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 1 3 4 5 6 7 8 9 11 | 8 9 = 8: 0 1 = 9: 0 11 0 1 3 4 5 6 7 8 10 11 = locrian & aug. scale | 9 = 9: 0 0 2 3 4 5 6 7 8 9 10 | 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 0 2 3 4 5 6 7 8 9 11 = lydian & harm. min. | 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 0 2 3 4 5 6 7 8 10 11 | 9 10 = 9: 0 1 = 10: 0 11 0 2 3 4 5 6 7 9 10 11 = dorelydian, 2367AB & bebop maj. | 10 = 10: 0 diamorphic with supplementary 2nd, 6th, 7th (Scale Degrees: 1223456677) 0 1 2 3 5 7 8 9 10 11 = phrygian & mel. min. | 2 3 4 5 = 2: 0 1 2 3 = 3: 0 1 2 11 = 4: 0 1 10 11 = 5: 0 9 10 11 0 1 2 3 6 7 8 9 10 11 | 2 3 4 5 6 = 2: 0 1 2 3 4 = 3: 0 1 2 3 11 = 4: 0 1 2 10 11 = 5: 0 1 9 10 11 = 6: 0 8 9 10 11 0 1 2 4 5 7 8 9 10 11 = 014589 & bebop maj., Span. Gypsy & ionian | 3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11 0 1 2 4 6 7 8 9 10 11 | 3 4 5 6 = 3: 0 1 2 3 = 4: 0 1 2 11 = 5: 0 1 10 11 = 6: 0 9 10 11 0 1 3 4 5 6 8 9 10 11 = 10 in 4ths | 4 = 4: 0 0 1 3 4 5 7 8 9 10 11 | 4 5 = 4: 0 1 = 5: 0 11 0 1 3 4 6 7 8 9 10 11 = 03478B & auxdim. scale | 4 5 6 = 4: 0 1 2 = 5: 0 1 11 = 6: 0 10 11 0 2 3 4 5 7 8 9 10 11 = ioaeolean, mixolydian & harm. min. | 5 = 5: 0 0 2 3 4 6 7 8 9 10 11 | 5 6 = 5: 0 1 = 6: 0 11 Scale Degrees: 1224456677 0 1 2 5 6 7 8 9 10 11 | 3 4 5 6 7 = 3: 0 1 2 3 4 = 4: 0 1 2 3 11 = 5: 0 1 2 10 11 = 6: 0 1 9 10 11 = 7: 0 8 9 10 11 diamorphic with supplementary 4th, 6th, 7th (Scale Degrees: 1234456677) 0 1 3 5 6 7 8 9 10 11 | 4 5 6 7 = 4: 0 1 2 3 = 5: 0 1 2 11 = 6: 0 1 10 11 = 7: 0 9 10 11 0 1 4 5 6 7 8 9 10 11 | 4 5 6 7 8 = 4: 0 1 2 3 4 = 5: 0 1 2 3 11 = 6: 0 1 2 10 11 = 7: 0 1 9 10 11 = 8: 0 8 9 10 11 0 2 3 5 6 7 8 9 10 11 = dim. scale & dorian | 5 6 7 = 5: 0 1 2 = 6: 0 1 11 = 7: 0 10 11 0 2 4 5 6 7 8 9 10 11 = whole tone & ionian | 5 6 7 8 = 5: 0 1 2 3 = 6: 0 1 2 11 = 7: 0 1 10 11 = 8: 0 9 10 11 0 3 4 5 6 7 8 9 10 11 | 5 6 7 8 9 = 5: 0 1 2 3 4 = 6: 0 1 2 3 11 = 7: 0 1 2 10 11 = 8: 0 1 9 10 11 = 9: 0 8 9 10 11 chromatic unidecachord = diamorphic with supplementary 2nd, 3rd, 4th, 6th (Scale Degrees: 12233445667) 0 1 2 3 4 5 6 7 8 9 10 = mixolocrian, 1st 11 chromatics | 0 7 8 9 10 11 = 0: 0 7 8 9 10 11 = 7: 0 1 2 3 4 5 = 8: 0 1 2 3 4 11 = 9: 0 1 2 3 10 11 = 10: 0 1 2 9 10 11 = 11: 0 1 8 9 10 11 0 1 2 3 4 5 6 7 8 9 11 | 0 1 8 9 10 11 = 0: 0 1 8 9 10 11 = 1: 0 7 8 9 10 11 = 8: 0 1 2 3 4 5 = 9: 0 1 2 3 4 11 = 10: 0 1 2 3 10 11 = 11: 0 1 2 9 10 11 0 1 2 3 4 5 6 7 8 10 11 | 0 1 2 9 10 11 = 0: 0 1 2 9 10 11 = 1: 0 1 8 9 10 11 = 2: 0 7 8 9 10 11 = 9: 0 1 2 3 4 5 = 10: 0 1 2 3 4 11 = 11: 0 1 2 3 10 11 0 1 2 3 4 5 6 7 9 10 11 = auxdim. scale & ionian | 0 1 2 3 10 11 = 0: 0 1 2 3 10 11 = 1: 0 1 2 9 10 11 = 2: 0 1 8 9 10 11 = 3: 0 7 8 9 10 11 = 10: 0 1 2 3 4 5 = 11: 0 1 2 3 4 11 diamorphic with supplementary 2nd, 3rd, 6th, 7th (Scale Degrees: 12233456677) 0 1 2 3 4 5 6 8 9 10 11 = 11 in 4ths | 0 1 2 3 4 11 = 0: 0 1 2 3 4 11 = 1: 0 1 2 3 10 11 = 2: 0 1 2 9 10 11 = 3: 0 1 8 9 10 11 = 4: 0 7 8 9 10 11 = 11: 0 1 2 3 4 5 0 1 2 3 4 5 7 8 9 10 11 = iophrygian, Spanish Gypsy & dorian, consonant-11 | 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 = 11 in 5ths, most stable 11 chord type | 1 2 3 4 5 6 = 1: 0 1 2 3 4 5 = 2: 0 1 2 3 4 11 = 3: 0 1 2 3 10 11 = 4: 0 1 2 9 10 11 = 5: 0 1 8 9 10 11 = 6: 0 7 8 9 10 11 diamorphic with supplementary 2nd, 4th, 6th, 7th (Scale Degrees: 12234456677) 0 1 2 3 5 6 7 8 9 10 11 = locrian & mel. min., dim. & phrygian | 2 3 4 5 6 7 = 2: 0 1 2 3 4 5 = 3: 0 1 2 3 4 11 = 4: 0 1 2 3 10 11 = 5: 0 1 2 9 10 11 = 6: 0 1 8 9 10 11 = 7: 0 7 8 9 10 11 0 1 2 4 5 6 7 8 9 10 11 = Northern lights chord | 3 4 5 6 7 8 = 3: 0 1 2 3 4 5 = 4: 0 1 2 3 4 11 = 5: 0 1 2 3 10 11 = 6: 0 1 2 9 10 11 = 7: 0 1 8 9 10 11 = 8: 0 7 8 9 10 11 0 1 3 4 5 6 7 8 9 10 11 | 4 5 6 7 8 9 = 4: 0 1 2 3 4 5 = 5: 0 1 2 3 4 11 = 6: 0 1 2 3 10 11 = 7: 0 1 2 9 10 11 = 8: 0 1 8 9 10 11 = 9: 0 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 = aeolydian, whole tone & dorian | 5 6 7 8 9 10 = 5: 0 1 2 3 4 5 = 6: 0 1 2 3 4 11 = 7: 0 1 2 3 10 11 = 8: 0 1 2 9 10 11 = 9: 0 1 8 9 10 11 = 10: 0 7 8 9 10 11 chromatic Scale = diamorphic with supplementary 2nd, 3rd, 4th, 6th, 7th (Scale Degrees: 122334456677) 0 1 2 3 4 5 6 7 8 9 10 11 = chromatic, dodecachord, 12 in 4ths, 12 in 5ths | 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Pitch Class Sets 0 = 0: 0 0 1 = 0: 0 1 = 1: 0 11 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 1 2 3 = 0: 0 1 2 3 = 1: 0 1 2 11 = 2: 0 1 10 11 = 3: 0 9 10 11 0 1 2 3 4 = 0: 0 1 2 3 4 = 1: 0 1 2 3 11 = 2: 0 1 2 10 11 = 3: 0 1 9 10 11 = 4: 0 8 9 10 11 0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11 0 1 2 3 5 = 0: 0 1 2 3 5 = 1: 0 1 2 4 11 = 2: 0 1 3 10 11 = 3: 0 2 9 10 11 = 5: 0 7 8 9 10 0 1 2 4 = 0: 0 1 2 4 = 1: 0 1 3 11 = 2: 0 2 10 11 = 4: 0 8 9 10 0 1 2 4 5 = 0: 0 1 2 4 5 = 1: 0 1 3 4 11 = 2: 0 2 3 10 11 = 4: 0 1 8 9 10 = 5: 0 7 8 9 11 0 1 2 5 = 0: 0 1 2 5 = 1: 0 1 4 11 = 2: 0 3 10 11 = 5: 0 7 8 9 0 1 3 = 0: 0 1 3 = 1: 0 2 11 = 3: 0 9 10 0 1 3 4 = 0: 0 1 3 4 = 1: 0 2 3 11 = 3: 0 1 9 10 = 4: 0 8 9 11 0 1 3 4 5 = 0: 0 1 3 4 5 = 1: 0 2 3 4 11 = 3: 0 1 2 9 10 = 4: 0 1 8 9 11 = 5: 0 7 8 10 11 0 1 3 5 = 0: 0 1 3 5 = 1: 0 2 4 11 = 3: 0 2 9 10 = 5: 0 7 8 10 0 1 4 = 0: 0 1 4 = 1: 0 3 11 = 4: 0 8 9 0 1 4 5 = 0: 0 1 4 5 = 1: 0 3 4 11 = 4: 0 1 8 9 = 5: 0 7 8 11 0 1 5 = 0: 0 1 5 = 1: 0 4 11 = 5: 0 7 8 0 2 = 0: 0 2 = 2: 0 10 0 2 3 = 0: 0 2 3 = 2: 0 1 10 = 3: 0 9 11 0 2 3 4 = 0: 0 2 3 4 = 2: 0 1 2 10 = 3: 0 1 9 11 = 4: 0 8 10 11 0 2 3 4 5 = 0: 0 2 3 4 5 = 2: 0 1 2 3 10 = 3: 0 1 2 9 11 = 4: 0 1 8 10 11 = 5: 0 7 9 10 11 0 2 3 5 = 0: 0 2 3 5 = 2: 0 1 3 10 = 3: 0 2 9 11 = 5: 0 7 9 10 0 2 4 = 0: 0 2 4 = 2: 0 2 10 = 4: 0 8 10 0 2 4 5 = 0: 0 2 4 5 = 2: 0 2 3 10 = 4: 0 1 8 10 = 5: 0 7 9 11 0 2 5 = 0: 0 2 5 = 2: 0 3 10 = 5: 0 7 9 0 3 = 0: 0 3 = 3: 0 9 0 3 4 = 0: 0 3 4 = 3: 0 1 9 = 4: 0 8 11 0 3 4 5 = 0: 0 3 4 5 = 3: 0 1 2 9 = 4: 0 1 8 11 = 5: 0 7 10 11 0 3 5 = 0: 0 3 5 = 3: 0 2 9 = 5: 0 7 10 0 4 = 0: 0 4 = 4: 0 8 0 4 5 = 0: 0 4 5 = 4: 0 1 8 = 5: 0 7 11

order	origin	root set	chord type (as pcset)
1	0	0	0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11

1	1	1	0 1 2 3 4 11 = 0: 0 1 2 3 4 11 = 1: 0 1 2 3 10 11 = 2: 0 1 2 9 10 11 = 3: 0 1 8 9 10 11 = 4: 0 7 8 9 10 11 = 11: 0 1 2 3 4 5

1	2	2	0 1 2 3 10 11 = 0: 0 1 2 3 10 11 = 1: 0 1 2 9 10 11 = 2: 0 1 8 9 10 11 = 3: 0 7 8 9 10 11 = 10: 0 1 2 3 4 5 = 11: 0 1 2 3 4 11

1	5	5	0 7 8 9 10 11 = 0: 0 7 8 9 10 11 = 7: 0 1 2 3 4 5 = 8: 0 1 2 3 4 11 = 9: 0 1 2 3 10 11 = 10: 0 1 2 9 10 11 = 11: 0 1 8 9 10 11

order	pcset
1	0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11
2	0 1 2 3 4 5 7 8 9 10 11 = 0: 0 1 2 3 4 5 7 8 9 10 11 = 1: 0 1 2 3 4 6 7 8 9 10 11 = 2: 0 1 2 3 5 6 7 8 9 10 11 = 3: 0 1 2 4 5 6 7 8 9 10 11 = 4: 0 1 3 4 5 6 7 8 9 10 11 = 5: 0 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 = 8: 0 1 2 3 4 5 6 7 8 9 11 = 9: 0 1 2 3 4 5 6 7 8 10 11 = 10: 0 1 2 3 4 5 6 7 9 10 11 = 11: 0 1 2 3 4 5 6 8 9 10 11
3	0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11

Chord Type		Roots
Unison (Scale Degrees: 1)
0 = root, unison, octave	\|	0 1 2 3 4 5 = 0: 0 1 2 3 4 5 = 1: 0 1 2 3 4 11 = 2: 0 1 2 3 10 11 = 3: 0 1 2 9 10 11 = 4: 0 1 8 9 10 11 = 5: 0 7 8 9 10 11

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	0 1 2 3 4 = 0: 0 1 2 3 4 = 1: 0 1 2 3 11 = 2: 0 1 2 10 11 = 3: 0 1 9 10 11 = 4: 0 8 9 10 11
0 2 = maj. 2nd, dim., maj. 9th	\|	0 1 2 3 = 0: 0 1 2 3 = 1: 0 1 2 11 = 2: 0 1 10 11 = 3: 0 9 10 11

3rds / 10ths (Scale Degrees: 13)
0 3 = aug. 2nd, min. 3rd, aug. 9th	\|	0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11
0 4 = maj. 3rd, maj. 10th, dim. 4th	\|	0 1 = 0: 0 1 = 1: 0 11

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	0 = 0: 0

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	5 = 5: 0

6ths / 13ths (Scale Degrees: 16)
0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th	\|	4 5 = 4: 0 1 = 5: 0 11
0 9 = maj. 6th, maj. 13th, dim. 7th	\|	3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11

7ths / 14ths (Scale Degrees: 17)
0 10 = aug. 6th, min. 7th, aug. 13th	\|	2 3 4 5 = 2: 0 1 2 3 = 3: 0 1 2 11 = 4: 0 1 10 11 = 5: 0 9 10 11
0 11 = maj. 7th, maj. 14th	\|	1 2 3 4 5 = 1: 0 1 2 3 4 = 2: 0 1 2 3 11 = 3: 0 1 2 10 11 = 4: 0 1 9 10 11 = 5: 0 8 9 10 11

chromatic trichord (Scale Degrees: 122)
0 1 2 = 1st 3 chromatics	\|	0 1 2 3 = 0: 0 1 2 3 = 1: 0 1 2 11 = 2: 0 1 10 11 = 3: 0 9 10 11

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11
0 1 4	\|	0 1 = 0: 0 1 = 1: 0 11
0 2 3 = min. trichord	\|	0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11
0 2 4 = maj. trichord	\|	0 1 = 0: 0 1 = 1: 0 11
0 3 4	\|	0 1 = 0: 0 1 = 1: 0 11

Root with upper and lower neighbors (Scale Degrees: 127)
0 1 11 = root & chr. neighbors	\|	1 2 3 4 = 1: 0 1 2 3 = 2: 0 1 2 11 = 3: 0 1 10 11 = 4: 0 9 10 11
0 2 11	\|	1 2 3 = 1: 0 1 2 = 2: 0 1 11 = 3: 0 10 11

Scale Degrees: 134
0 3 5	\|	0 = 0: 0
0 4 5	\|	0 = 0: 0

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	2 = 2: 0
0 3 11 = mM7 no 5th	\|	1 2 = 1: 0 1 = 2: 0 11
0 4 11 = M7 no 5th	\|	1 = 1: 0

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	5 = 5: 0
0 7 9	\|	5 = 5: 0

7th chords no 3rd (Scale Degrees: 157)
0 7 10 = m power chord	\|	5 = 5: 0
0 7 11 = M power chord	\|	5 = 5: 0

Scale Degrees: 167
0 10 11	\|	2 3 4 5 = 2: 0 1 2 3 = 3: 0 1 2 11 = 4: 0 1 10 11 = 5: 0 9 10 11

chromatic tetrachord (Scale Degrees: 1223)
0 1 2 3 = chromatic tetrachord	\|	0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11
0 1 2 4	\|	0 1 = 0: 0 1 = 1: 0 11
0 1 3 4 = 1st 4 aux dim.	\|	0 1 = 0: 0 1 = 1: 0 11
0 2 3 4	\|	0 1 = 0: 0 1 = 1: 0 11

1st 3 notes of diamorphic scale (Scale Degrees: 1234)
0 1 3 5 = Greek diatonic tetrachord	\|	0 = 0: 0
0 1 4 5 = Greek chromatic tetrachord	\|	0 = 0: 0
0 2 3 5 = min. tetrachord	\|	0 = 0: 0
0 2 4 5 = maj. tetrachord	\|	0 = 0: 0
0 3 4 5	\|	0 = 0: 0

9th chords no 5th (Scale Degrees: 1237)
0 1 3 10 = M7b9 no 5th	\|	2 = 2: 0
0 1 3 11 = Mm7b9 no 5th	\|	1 2 = 1: 0 1 = 2: 0 11
0 1 4 11 = M7b9 no 5th	\|	1 = 1: 0
0 2 3 10 = m9 no 5th	\|	2 = 2: 0
0 2 3 11 = mM9 no 5th	\|	1 2 = 1: 0 1 = 2: 0 11
0 2 4 11 = M9 no 5th	\|	1 = 1: 0
0 3 4 11 = M7#9 no 5th	\|	1 = 1: 0

13th chords no 3rd no 5th no 11th (Scale Degrees: 1267)
0 1 10 11	\|	2 3 4 = 2: 0 1 2 = 3: 0 1 11 = 4: 0 10 11
0 2 9 10	\|	3 = 3: 0
0 2 9 11	\|	3 = 3: 0
0 2 10 11	\|	2 3 = 2: 0 1 = 3: 0 11

6/7 chords no 5th (Scale Degrees: 1367)
0 3 10 11 = mM7#6 no 5th	\|	2 = 2: 0

Scale Degrees: 1566
0 7 8 9	\|	5 = 5: 0

Scale Degrees: 1567
0 7 8 10	\|	5 = 5: 0
0 7 8 11	\|	5 = 5: 0
0 7 9 10	\|	5 = 5: 0
0 7 9 11	\|	5 = 5: 0
0 7 10 11	\|	5 = 5: 0

Scale Degrees: 1667
0 9 10 11	\|	3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11

chromatic pentachord (Scale Degrees: 12233)
0 1 2 3 4 = 1st 5 chromatics	\|	0 1 = 0: 0 1 = 1: 0 11

Scale Degrees: 12234
0 1 2 3 5	\|	0 = 0: 0
0 1 2 4 5	\|	0 = 0: 0
0 1 3 4 5	\|	0 = 0: 0

Scale Degrees: 12237
0 1 2 3 10	\|	2 = 2: 0
0 1 2 3 11	\|	1 2 = 1: 0 1 = 2: 0 11
0 1 2 4 11	\|	1 = 1: 0
0 1 3 4 11	\|	1 = 1: 0
0 2 3 4 11	\|	1 = 1: 0

Scale Degrees: 12267
0 1 2 9 10	\|	3 = 3: 0

13th chords no 5th no 11th (Scale Degrees: 12367)
0 1 3 10 11 = mM#13b9 no 5th no 11th	\|	2 = 2: 0
0 2 3 10 11 = m#13 no 5th no 11th	\|	2 = 2: 0

Scale Degrees: 12667
0 2 9 10 11	\|	3 = 3: 0

Scale Degrees: 15667
0 7 8 9 10	\|	5 = 5: 0
0 7 8 9 11	\|	5 = 5: 0
0 7 8 10 11	\|	5 = 5: 0
0 7 9 10 11	\|	5 = 5: 0

Scale Degrees: 16677
0 8 9 10 11	\|	4 5 = 4: 0 1 = 5: 0 11

chromatic hexachord (Scale Degrees: 122334)
0 1 2 3 4 5 = 1st 6 chromatics, type A ACH	\|	0 = 0: 0

Scale Degrees: 122337
0 1 2 3 4 11	\|	1 = 1: 0

Scale Degrees: 122367
0 1 2 3 10 11	\|	2 = 2: 0

Scale Degrees: 156677
0 7 8 9 10 11	\|	5 = 5: 0