Chord Type: 0 2 4 7 8 9 10 11

0 2 4 7 8 9 10 11

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Chord Type: 0 2 4 7 8 9 10 11

General Statistics Cardinality: 8 Jordan Number: 8-3 Forte Number: 8-11 Forte Prime Form: [0,1,2,3,4,5,7,9] Zeitler Scale Name: Sythyllic Ian Ring's Scale Page 3989 Root Reference: 0 2 4 7 8 9 10 11 Tone Stacking: 0 2 2 3 1 1 1 1 Interval Stacking: 2 2 3 1 1 1 1 1 Binary: 1 0 1 0 1 0 0 1 1 1 1 1 Decimal Value: 3989 Interval Vector: 5 6 5 5 5 2 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.750 Harmonic Adjacency (0-1): 0.750 Modal-system-invariant under multiplication by: 1 5 Modal System Balanced: no Diachromatic Family: Scale Degrees: 12356677 0 1 3 7 8 9 10 11 0 1 4 7 8 9 10 11 0 2 3 7 8 9 10 11 ->0 2 4 7 8 9 10 11 0 3 4 7 8 9 10 11 All Transpositions of Chord Type: +0= 0 2 4 7 8 9 10 11 | +1= 0 1 3 5 8 9 10 11 | +2= 0 1 2 4 6 9 10 11 | +3= 0 1 2 3 5 7 10 11 | +4= 0 1 2 3 4 6 8 11 | +5= 0 1 2 3 4 5 7 9 | +6= 1 2 3 4 5 6 8 10 | +7= 2 3 4 5 6 7 9 11 | +8= 0 3 4 5 6 7 8 10 | +9= 1 4 5 6 7 8 9 11 | +10= 0 2 5 6 7 8 9 10 | +11= 1 3 6 7 8 9 10 11 | Modes of Chord Type: (mode 0) 0: 0 2 4 7 8 9 10 11 | (mode 1) 2: 0 2 5 6 7 8 9 10 | (mode 2) 4: 0 3 4 5 6 7 8 10 | (mode 3) 7: 0 1 2 3 4 5 7 9 | (mode 4) 8: 0 1 2 3 4 6 8 11 | (mode 5) 9: 0 1 2 3 5 7 10 11 | (mode 6) 10: 0 1 2 4 6 9 10 11 | (mode 7) 11: 0 1 3 5 8 9 10 11 | Modes of Chord Type Sorted by Rootedness: 1.417(mode 0)0:0 2 4 7 8 9 10 11 | 1.242(mode 3)7:0 1 2 3 4 5 7 9 | 1.067(mode 5)9:0 1 2 3 5 7 10 11 | 1.017(mode 6)10:0 1 2 4 6 9 10 11 | .792(mode 2)4:0 3 4 5 6 7 8 10 | .708(mode 4)8:0 1 2 3 4 6 8 11 | .283(mode 1)2:0 2 5 6 7 8 9 10 | .142(mode 7)11:0 1 3 5 8 9 10 11 | Inversion at 0: 0 1 2 3 4 5 8 10 (mode 0) 0: 0 1 2 3 4 5 8 10 | (mode 1) 1: 0 1 2 3 4 7 9 11 | (mode 2) 2: 0 1 2 3 6 8 10 11 | (mode 3) 3: 0 1 2 5 7 9 10 11 | (mode 4) 4: 0 1 4 6 8 9 10 11 | (mode 5) 5: 0 3 5 7 8 9 10 11 | (mode 6) 8: 0 2 4 5 6 7 8 9 | (mode 7) 10: 0 2 3 4 5 6 7 10 | Times 7: 0 1 2 3 4 5 8 10 (mode 0) 0: 0 1 2 3 4 5 8 10 | (mode 1) 1: 0 1 2 3 4 7 9 11 | (mode 2) 2: 0 1 2 3 6 8 10 11 | (mode 3) 3: 0 1 2 5 7 9 10 11 | (mode 4) 4: 0 1 4 6 8 9 10 11 | (mode 5) 5: 0 3 5 7 8 9 10 11 | (mode 6) 8: 0 2 4 5 6 7 8 9 | (mode 7) 10: 0 2 3 4 5 6 7 10 | Times 5: 0 2 4 7 8 9 10 11 (mode 0) 0: 0 2 4 7 8 9 10 11 | (mode 1) 2: 0 2 5 6 7 8 9 10 | (mode 2) 4: 0 3 4 5 6 7 8 10 | (mode 3) 7: 0 1 2 3 4 5 7 9 | (mode 4) 8: 0 1 2 3 4 6 8 11 | (mode 5) 9: 0 1 2 3 5 7 10 11 | (mode 6) 10: 0 1 2 4 6 9 10 11 | (mode 7) 11: 0 1 3 5 8 9 10 11 | Modal System: 0 1 2 3 4 5 7 9 from root(s) 7 | "" Modes of Modal System: (mode 0) 0: 0 1 2 3 4 5 7 9 | (mode 1) 1: 0 1 2 3 4 6 8 11 | (mode 2) 2: 0 1 2 3 5 7 10 11 | (mode 3) 3: 0 1 2 4 6 9 10 11 | (mode 4) 4: 0 1 3 5 8 9 10 11 | (mode 5) 5: 0 2 4 7 8 9 10 11 | (mode 6) 7: 0 2 5 6 7 8 9 10 | (mode 7) 9: 0 3 4 5 6 7 8 10 | Complement: 1 3 5 6 (mode 0) 1: 0 2 4 5 | major tetrachord (mode 1) 3: 0 2 3 10 | m9 no 5th (mode 2) 5: 0 1 8 10 | (mode 3) 6: 0 7 9 11 | All but the root (subchroma complement of 0): 2 4 7 8 9 10 11 (mode 0) 2: 0 2 5 6 7 8 9 | (mode 1) 4: 0 3 4 5 6 7 10 | (mode 2) 7: 0 1 2 3 4 7 9 | (mode 3) 8: 0 1 2 3 6 8 11 | (mode 4) 9: 0 1 2 5 7 10 11 | mela 6 Tanarupi (mode 5) 10: 0 1 4 6 9 10 11 | (mode 6) 11: 0 3 5 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 2 4 7 (mode 0) 0: 0 2 4 7 | add9 = Mu chord (mode 1) 2: 0 2 5 10 | (mode 2) 4: 0 3 8 10 | (mode 3) 7: 0 5 7 9 | Dechromaticised but Keep 0 0 2 4 7 (unchanged) (mode 0) 0: 0 2 4 7 | add9 = Mu chord (mode 1) 2: 0 2 5 10 | (mode 2) 4: 0 3 8 10 | (mode 3) 7: 0 5 7 9 | Dechromaticised but Keep 0 7 0 2 4 7 (unchanged) (mode 0) 0: 0 2 4 7 | add9 = Mu chord (mode 1) 2: 0 2 5 10 | (mode 2) 4: 0 3 8 10 | (mode 3) 7: 0 5 7 9 | Dechromaticised but Keep 0 3 4 7 0 2 4 7 (unchanged) (mode 0) 0: 0 2 4 7 | add9 = Mu chord (mode 1) 2: 0 2 5 10 | (mode 2) 4: 0 3 8 10 | (mode 3) 7: 0 5 7 9 | Alt-Dechromaticised: 0 8 10 11 (mode 0) 0: 0 8 10 11 | (mode 1) 8: 0 2 3 4 | (mode 2) 10: 0 1 2 10 | (mode 3) 11: 0 1 9 11 | Alt-Dechromaticised but Keep 0 0 8 10 11 (unchanged) (mode 0) 0: 0 8 10 11 | (mode 1) 8: 0 2 3 4 | (mode 2) 10: 0 1 2 10 | (mode 3) 11: 0 1 9 11 | Alt-Dechromaticised but Keep 0 7 0 7 8 10 11 (mode 0) 0: 0 7 8 10 11 | (mode 1) 7: 0 1 3 4 5 | (mode 2) 8: 0 2 3 4 11 | (mode 3) 10: 0 1 2 9 10 | (mode 4) 11: 0 1 8 9 11 | Alt-Dechromaticised but Keep 0 3 4 7 0 4 7 8 10 11 (mode 0) 0: 0 4 7 8 10 11 | (mode 1) 4: 0 3 4 6 7 8 | (mode 2) 7: 0 1 3 4 5 9 | (mode 3) 8: 0 2 3 4 8 11 | (mode 4) 10: 0 1 2 6 9 10 | (mode 5) 11: 0 1 5 8 9 11 | 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: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: N/A alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 2 4 7 8 9 10 11 = 0: 0 2 4 7 8 9 10 11 = 2: 0 2 5 6 7 8 9 10 = 4: 0 3 4 5 6 7 8 10 = 7: 0 1 2 3 4 5 7 9 = 8: 0 1 2 3 4 6 8 11 = 9: 0 1 2 3 5 7 10 11 = 10: 0 1 2 4 6 9 10 11 = 11: 0 1 3 5 8 9 10 11 1 2 2 0 2 5 6 7 8 9 10 = 0: 0 2 5 6 7 8 9 10 = 2: 0 3 4 5 6 7 8 10 = 5: 0 1 2 3 4 5 7 9 = 6: 0 1 2 3 4 6 8 11 = 7: 0 1 2 3 5 7 10 11 = 8: 0 1 2 4 6 9 10 11 = 9: 0 1 3 5 8 9 10 11 = 10: 0 2 4 7 8 9 10 11 1 4 4 0 3 4 5 6 7 8 10 = 0: 0 3 4 5 6 7 8 10 = 3: 0 1 2 3 4 5 7 9 = 4: 0 1 2 3 4 6 8 11 = 5: 0 1 2 3 5 7 10 11 = 6: 0 1 2 4 6 9 10 11 = 7: 0 1 3 5 8 9 10 11 = 8: 0 2 4 7 8 9 10 11 = 10: 0 2 5 6 7 8 9 10 1 7 7 0 1 2 3 4 5 7 9 = 0: 0 1 2 3 4 5 7 9 = 1: 0 1 2 3 4 6 8 11 = 2: 0 1 2 3 5 7 10 11 = 3: 0 1 2 4 6 9 10 11 = 4: 0 1 3 5 8 9 10 11 = 5: 0 2 4 7 8 9 10 11 = 7: 0 2 5 6 7 8 9 10 = 9: 0 3 4 5 6 7 8 10 1 9 9 0 1 2 3 5 7 10 11 = 0: 0 1 2 3 5 7 10 11 = 1: 0 1 2 4 6 9 10 11 = 2: 0 1 3 5 8 9 10 11 = 3: 0 2 4 7 8 9 10 11 = 5: 0 2 5 6 7 8 9 10 = 7: 0 3 4 5 6 7 8 10 = 10: 0 1 2 3 4 5 7 9 = 11: 0 1 2 3 4 6 8 11 Bright Layer Composition order pcset 1 0 2 4 7 8 9 10 11 = 0: 0 2 4 7 8 9 10 11 = 2: 0 2 5 6 7 8 9 10 = 4: 0 3 4 5 6 7 8 10 = 7: 0 1 2 3 4 5 7 9 = 8: 0 1 2 3 4 6 8 11 = 9: 0 1 2 3 5 7 10 11 = 10: 0 1 2 4 6 9 10 11 = 11: 0 1 3 5 8 9 10 11 2 0 2 3 4 5 6 7 8 9 10 11 = 0: 0 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 = 3: 0 1 2 3 4 5 6 7 8 9 11 = 4: 0 1 2 3 4 5 6 7 8 10 11 = 5: 0 1 2 3 4 5 6 7 9 10 11 = 6: 0 1 2 3 4 5 6 8 9 10 11 = 7: 0 1 2 3 4 5 7 8 9 10 11 = 8: 0 1 2 3 4 6 7 8 9 10 11 = 9: 0 1 2 3 5 6 7 8 9 10 11 = 10: 0 1 2 4 5 6 7 8 9 10 11 = 11: 0 1 3 4 5 6 7 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 2 4 7 8 9 10 11 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 4 = 4 = 4: 0 7 = 7 = 7: 0 8 = 8 = 8: 0 9 = 9 = 9: 0 10 = 10 = 10: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 2 = 0 2 = 0: 0 2 2: 0 10 2 4 = 2 4 = 2: 0 2 4: 0 10 4 7 = 4 7 = 4: 0 3 7: 0 9 7 8 = 7 8 = 7: 0 1 8: 0 11 8 9 = 8 9 = 8: 0 1 9: 0 11 9 10 = 9 10 = 9: 0 1 10: 0 11 10 11 = 10 11 = 10: 0 1 11: 0 11 11 0 = 0 11 = 11: 0 1 0: 0 11 subchroma modal system: 0 2 0 4 = 0 4 = 0: 0 4 4: 0 8 2 7 = 2 7 = 2: 0 5 7: 0 7 4 8 = 4 8 = 4: 0 4 8: 0 8 7 9 = 7 9 = 7: 0 2 9: 0 10 8 10 = 8 10 = 8: 0 2 10: 0 10 9 11 = 9 11 = 9: 0 2 11: 0 10 10 0 = 0 10 = 10: 0 2 0: 0 10 11 2 = 2 11 = 11: 0 3 2: 0 9 subchroma modal system: 0 3 0 7 = 0 7 = 7: 0 5 0: 0 7 2 8 = 2 8 = 2 8: 0 6 4 9 = 4 9 = 4: 0 5 9: 0 7 7 10 = 7 10 = 7: 0 3 10: 0 9 8 11 = 8 11 = 8: 0 3 11: 0 9 9 0 = 0 9 = 9: 0 3 0: 0 9 10 2 = 2 10 = 10: 0 4 2: 0 8 11 4 = 4 11 = 11: 0 5 4: 0 7 subchroma modal system: 0 4 0 8 = 0 8 = 8: 0 4 0: 0 8 2 9 = 2 9 = 9: 0 5 2: 0 7 4 10 = 4 10 = 4 10: 0 6 7 11 = 7 11 = 7: 0 4 11: 0 8 8 0 = 0 8 = 8: 0 4 0: 0 8 9 2 = 2 9 = 9: 0 5 2: 0 7 10 4 = 4 10 = 4 10: 0 6 11 7 = 7 11 = 7: 0 4 11: 0 8 subchroma modal system: 0 1 2 0 2 4 = 0 2 4 = 0: 0 2 4 2 4 7 = 2 4 7 = 4: 0 3 10 7: 0 7 9 4 7 8 = 4 7 8 = 4: 0 3 4 7 8 9 = 7 8 9 = 7: 0 1 2 8: 0 1 11 9: 0 10 11 8 9 10 = 8 9 10 = 8: 0 1 2 9: 0 1 11 10: 0 10 11 9 10 11 = 9 10 11 = 9: 0 1 2 10: 0 1 11 11: 0 10 11 10 11 0 = 0 10 11 = 10: 0 1 2 11: 0 1 11 0: 0 10 11 11 0 2 = 0 2 11 = 11: 0 1 3 0: 0 2 11 subchroma modal system: 0 1 3 0 2 7 = 0 2 7 = 0: 0 2 7 7: 0 5 7 2: 0 5 10 2 4 8 = 2 4 8 = 4: 0 4 10 4 7 9 = 4 7 9 = 4: 0 3 5 9: 0 7 10 7 8 10 = 7 8 10 = 7: 0 1 3 8: 0 2 11 8 9 11 = 8 9 11 = 8: 0 1 3 9: 0 2 11 9 10 0 = 0 9 10 = 9: 0 1 3 10: 0 2 11 10 11 2 = 2 10 11 = 10: 0 1 4 11: 0 3 11 11 0 4 = 0 4 11 = 0: 0 4 11 4: 0 7 8 subchroma modal system: 0 1 4 0 2 8 = 0 2 8 = 8: 0 4 6 2 4 9 = 2 4 9 = 2: 0 2 7 9: 0 5 7 4: 0 5 10 4 7 10 = 4 7 10 = 4: 0 3 6 7: 0 3 9 7 8 11 = 7 8 11 = 7: 0 1 4 8: 0 3 11 8 9 0 = 0 8 9 = 8: 0 1 4 9: 0 3 11 9 10 2 = 2 9 10 = 10: 0 4 11 2: 0 7 8 10 11 4 = 4 10 11 = 4: 0 6 7 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 1 5 0 2 9 = 0 2 9 = 9: 0 3 5 2: 0 7 10 2 4 10 = 2 4 10 = 10: 0 4 6 4 7 11 = 4 7 11 = 4: 0 3 7 7: 0 4 9 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 9 2 = 2 8 9 = 2: 0 6 7 9 10 4 = 4 9 10 = 9: 0 1 7 10 11 7 = 7 10 11 = 7: 0 3 4 11 0 8 = 0 8 11 = 8: 0 3 4 subchroma modal system: 0 1 6 0 2 10 = 0 2 10 = 10: 0 2 4 2 4 11 = 2 4 11 = 11: 0 3 5 4: 0 7 10 4 7 0 = 0 4 7 = 0: 0 4 7 7 8 2 = 2 7 8 = 7: 0 1 7 8 9 4 = 4 8 9 = 4: 0 4 5 9: 0 7 11 9 10 7 = 7 9 10 = 7: 0 2 3 10 11 8 = 8 10 11 = 8: 0 2 3 11 0 9 = 0 9 11 = 9: 0 2 3 subchroma modal system: 0 2 4 0 4 8 = 0 4 8 = 0 4 8: 0 4 8 2 7 9 = 2 7 9 = 7: 0 2 7 2: 0 5 7 9: 0 5 10 4 8 10 = 4 8 10 = 4: 0 4 6 7 9 11 = 7 9 11 = 7: 0 2 4 8 10 0 = 0 8 10 = 8: 0 2 4 9 11 2 = 2 9 11 = 11: 0 3 10 2: 0 7 9 10 0 4 = 0 4 10 = 0: 0 4 10 11 2 7 = 2 7 11 = 7: 0 4 7 subchroma modal system: 0 2 5 0 4 9 = 0 4 9 = 9: 0 3 7 0: 0 4 9 2 7 10 = 2 7 10 = 7: 0 3 7 10: 0 4 9 4 8 11 = 4 8 11 = 4: 0 4 7 7 9 0 = 0 7 9 = 9: 0 3 10 0: 0 7 9 8 10 2 = 2 8 10 = 10: 0 4 10 9 11 4 = 4 9 11 = 9: 0 2 7 4: 0 5 7 11: 0 5 10 10 0 7 = 0 7 10 = 7: 0 3 5 0: 0 7 10 11 2 8 = 2 8 11 = 8: 0 3 6 11: 0 3 9 subchroma modal system: 0 1 2 3 0 2 4 7 = 0 2 4 7 = 0: 0 2 4 7 7: 0 5 7 9 2 4 7 8 = 2 4 7 8 = 4: 0 3 4 10 7: 0 1 7 9 4 7 8 9 = 4 7 8 9 = 4: 0 3 4 5 9: 0 7 10 11 7 8 9 10 = 7 8 9 10 = 7: 0 1 2 3 9: 0 1 10 11 10: 0 9 10 11 8 9 10 11 = 8 9 10 11 = 8: 0 1 2 3 10: 0 1 10 11 11: 0 9 10 11 9 10 11 0 = 0 9 10 11 = 9: 0 1 2 3 11: 0 1 10 11 0: 0 9 10 11 10 11 0 2 = 0 2 10 11 = 10: 0 1 2 4 11: 0 1 3 11 0: 0 2 10 11 11 0 2 4 = 0 2 4 11 = 11: 0 1 3 5 0: 0 2 4 11 2: 0 2 9 10 4: 0 7 8 10 subchroma modal system: 0 1 2 4 0 2 4 8 = 0 2 4 8 = 4: 0 4 8 10 2 4 7 9 = 2 4 7 9 = 2: 0 2 5 7 7: 0 2 7 9 4: 0 3 5 10 9: 0 5 7 10 4 7 8 10 = 4 7 8 10 = 4: 0 3 4 6 7 8 9 11 = 7 8 9 11 = 7: 0 1 2 4 8: 0 1 3 11 9: 0 2 10 11 8 9 10 0 = 0 8 9 10 = 8: 0 1 2 4 9: 0 1 3 11 10: 0 2 10 11 9 10 11 2 = 2 9 10 11 = 10: 0 1 4 11 11: 0 3 10 11 2: 0 7 8 9 10 11 0 4 = 0 4 10 11 = 0: 0 4 10 11 4: 0 6 7 8 11 0 2 7 = 0 2 7 11 = 0: 0 2 7 11 7: 0 4 5 7 subchroma modal system: 0 1 2 5 0 2 4 9 = 0 2 4 9 = 0: 0 2 4 9 2: 0 2 7 10 9: 0 3 5 7 2 4 7 10 = 2 4 7 10 = 7: 0 3 7 9 4: 0 3 6 10 4 7 8 11 = 4 7 8 11 = 4: 0 3 4 7 7: 0 1 4 9 7 8 9 0 = 0 7 8 9 = 8: 0 1 4 11 9: 0 3 10 11 0: 0 7 8 9 8 9 10 2 = 2 8 9 10 = 10: 0 4 10 11 2: 0 6 7 8 9 10 11 4 = 4 9 10 11 = 9: 0 1 2 7 4: 0 5 6 7 11: 0 5 10 11 10 11 0 7 = 0 7 10 11 = 7: 0 3 4 5 0: 0 7 10 11 11 0 2 8 = 0 2 8 11 = 8: 0 3 4 6 subchroma modal system: 0 1 2 6 0 2 4 10 = 0 2 4 10 = 10: 0 2 4 6 0: 0 2 4 10 2 4 7 11 = 2 4 7 11 = 7: 0 4 7 9 4: 0 3 7 10 4 7 8 0 = 0 4 7 8 = 4: 0 3 4 8 0: 0 4 7 8 8: 0 4 8 11 7 8 9 2 = 2 7 8 9 = 7: 0 1 2 7 2: 0 5 6 7 9: 0 5 10 11 8 9 10 4 = 4 8 9 10 = 9: 0 1 7 11 4: 0 4 5 6 9 10 11 7 = 7 9 10 11 = 7: 0 2 3 4 10 11 0 8 = 0 8 10 11 = 8: 0 2 3 4 11 0 2 9 = 0 2 9 11 = 9: 0 2 3 5 11: 0 1 3 10 0: 0 2 9 11 2: 0 7 9 10 subchroma modal system: 0 1 3 4 0 2 7 8 = 0 2 7 8 = 7: 0 1 5 7 0: 0 2 7 8 8: 0 4 6 11 2 4 8 9 = 2 4 8 9 = 2: 0 2 6 7 4: 0 4 5 10 9: 0 5 7 11 4 7 9 10 = 4 7 9 10 = 9: 0 1 7 10 4: 0 3 5 6 7 8 10 11 = 7 8 10 11 = 7: 0 1 3 4 8: 0 2 3 11 8 9 11 0 = 0 8 9 11 = 8: 0 1 3 4 9: 0 2 3 11 9 10 0 2 = 0 2 9 10 = 9: 0 1 3 5 10: 0 2 4 11 0: 0 2 9 10 2: 0 7 8 10 10 11 2 4 = 2 4 10 11 = 11: 0 3 5 11 4: 0 6 7 10 11 0 4 7 = 0 4 7 11 = 4: 0 3 7 8 0: 0 4 7 11 subchroma modal system: 0 1 3 5 0 2 7 9 = 0 2 7 9 = 7: 0 2 5 7 0: 0 2 7 9 9: 0 3 5 10 2: 0 5 7 10 2 4 8 10 = 2 4 8 10 = 4 10: 0 4 6 10 4 7 9 11 = 4 7 9 11 = 7: 0 2 4 9 9: 0 2 7 10 4: 0 3 5 7 7 8 10 0 = 0 7 8 10 = 7: 0 1 3 5 8: 0 2 4 11 10: 0 2 9 10 0: 0 7 8 10 8 9 11 2 = 2 8 9 11 = 8: 0 1 3 6 11: 0 3 9 10 2: 0 6 7 9 9 10 0 4 = 0 4 9 10 = 9: 0 1 3 7 0: 0 4 9 10 10 11 2 7 = 2 7 10 11 = 7: 0 3 4 7 10: 0 1 4 9 11 0 4 8 = 0 4 8 11 = 8: 0 3 4 8 4: 0 4 7 8 0: 0 4 8 11 subchroma modal system: 0 1 3 6 0 2 7 10 = 0 2 7 10 = 10: 0 2 4 9 0: 0 2 7 10 7: 0 3 5 7 2 4 8 11 = 2 4 8 11 = 4: 0 4 7 10 4 7 9 0 = 0 4 7 9 = 0: 0 4 7 9 9: 0 3 7 10 7 8 10 2 = 2 7 8 10 = 7: 0 1 3 7 10: 0 4 9 10 8 9 11 4 = 4 8 9 11 = 9: 0 2 7 11 4: 0 4 5 7 9 10 0 7 = 0 7 9 10 = 7: 0 2 3 5 9: 0 1 3 10 10: 0 2 9 11 0: 0 7 9 10 10 11 2 8 = 2 8 10 11 = 8: 0 2 3 6 10: 0 1 4 10 11: 0 3 9 11 11 0 4 9 = 0 4 9 11 = 9: 0 2 3 7 0: 0 4 9 11 4: 0 5 7 8 subchroma modal system: 0 1 4 5 0 2 8 9 = 0 2 8 9 = 9: 0 3 5 11 2: 0 6 7 10 2 4 9 10 = 2 4 9 10 = 9: 0 1 5 7 2: 0 2 7 8 10: 0 4 6 11 4 7 10 11 = 4 7 10 11 = 7: 0 3 4 9 4: 0 3 6 7 7 8 11 0 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 8 9 0 2 = 0 2 8 9 = 9: 0 3 5 11 2: 0 6 7 10 9 10 2 4 = 2 4 9 10 = 9: 0 1 5 7 2: 0 2 7 8 10: 0 4 6 11 10 11 4 7 = 4 7 10 11 = 7: 0 3 4 9 4: 0 3 6 7 11 0 7 8 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 subchroma modal system: 0 1 4 6 0 2 8 10 = 0 2 8 10 = 8: 0 2 4 6 10: 0 2 4 10 2 4 9 11 = 2 4 9 11 = 9: 0 2 5 7 2: 0 2 7 9 11: 0 3 5 10 4: 0 5 7 10 4 7 10 0 = 0 4 7 10 = 0: 0 4 7 10 7 8 11 2 = 2 7 8 11 = 7: 0 1 4 7 8: 0 3 6 11 8 9 0 4 = 0 4 8 9 = 9: 0 3 7 11 9 10 2 7 = 2 7 9 10 = 7: 0 2 3 7 10: 0 4 9 11 2: 0 5 7 8 10 11 4 8 = 4 8 10 11 = 4: 0 4 6 7 11 0 7 9 = 0 7 9 11 = 7: 0 2 4 5 9: 0 2 3 10 0: 0 7 9 11 subchroma modal system: 0 2 4 6 0 4 8 10 = 0 4 8 10 = 0: 0 4 8 10 2 7 9 11 = 2 7 9 11 = 7: 0 2 4 7 2: 0 5 7 9 4 8 10 0 = 0 4 8 10 = 0: 0 4 8 10 7 9 11 2 = 2 7 9 11 = 7: 0 2 4 7 2: 0 5 7 9 8 10 0 4 = 0 4 8 10 = 0: 0 4 8 10 9 11 2 7 = 2 7 9 11 = 7: 0 2 4 7 2: 0 5 7 9 10 0 4 8 = 0 4 8 10 = 0: 0 4 8 10 11 2 7 9 = 2 7 9 11 = 7: 0 2 4 7 2: 0 5 7 9 subchroma modal system: 0 1 2 3 4 0 2 4 7 8 = 0 2 4 7 8 = 0: 0 2 4 7 8 4: 0 3 4 8 10 7: 0 1 5 7 9 2 4 7 8 9 = 2 4 7 8 9 = 7: 0 1 2 7 9 4: 0 3 4 5 10 9: 0 5 7 10 11 4 7 8 9 10 = 4 7 8 9 10 = 4: 0 3 4 5 6 9: 0 1 7 10 11 7 8 9 10 11 = 7 8 9 10 11 = 7: 0 1 2 3 4 8: 0 1 2 3 11 11: 0 8 9 10 11 8 9 10 11 0 = 0 8 9 10 11 = 8: 0 1 2 3 4 9: 0 1 2 3 11 0: 0 8 9 10 11 9 10 11 0 2 = 0 2 9 10 11 = 9: 0 1 2 3 5 10: 0 1 2 4 11 11: 0 1 3 10 11 0: 0 2 9 10 11 2: 0 7 8 9 10 10 11 0 2 4 = 0 2 4 10 11 = 10: 0 1 2 4 6 0: 0 2 4 10 11 4: 0 6 7 8 10 11 0 2 4 7 = 0 2 4 7 11 = 0: 0 2 4 7 11 7: 0 4 5 7 9 4: 0 3 7 8 10 subchroma modal system: 0 1 2 3 5 0 2 4 7 9 = 0 2 4 7 9 = 0: 0 2 4 7 9 7: 0 2 5 7 9 2: 0 2 5 7 10 9: 0 3 5 7 10 2 4 7 8 10 = 2 4 7 8 10 = 7: 0 1 3 7 9 4: 0 3 4 6 10 4 7 8 9 11 = 4 7 8 9 11 = 7: 0 1 2 4 9 4: 0 3 4 5 7 9: 0 2 7 10 11 7 8 9 10 0 = 0 7 8 9 10 = 7: 0 1 2 3 5 8: 0 1 2 4 11 9: 0 1 3 10 11 10: 0 2 9 10 11 0: 0 7 8 9 10 8 9 10 11 2 = 2 8 9 10 11 = 8: 0 1 2 3 6 10: 0 1 4 10 11 11: 0 3 9 10 11 2: 0 6 7 8 9 9 10 11 0 4 = 0 4 9 10 11 = 9: 0 1 2 3 7 0: 0 4 9 10 11 10 11 0 2 7 = 0 2 7 10 11 = 10: 0 1 2 4 9 7: 0 3 4 5 7 0: 0 2 7 10 11 11 0 2 4 8 = 0 2 4 8 11 = 0: 0 2 4 8 11 4: 0 4 7 8 10 subchroma modal system: 0 1 2 3 6 0 2 4 7 10 = 0 2 4 7 10 = 0: 0 2 4 7 10 7: 0 3 5 7 9 2 4 7 8 11 = 2 4 7 8 11 = 7: 0 1 4 7 9 4: 0 3 4 7 10 4 7 8 9 0 = 0 4 7 8 9 = 8: 0 1 4 8 11 0: 0 4 7 8 9 9: 0 3 7 10 11 7 8 9 10 2 = 2 7 8 9 10 = 7: 0 1 2 3 7 10: 0 4 9 10 11 8 9 10 11 4 = 4 8 9 10 11 = 9: 0 1 2 7 11 4: 0 4 5 6 7 9 10 11 0 7 = 0 7 9 10 11 = 9: 0 1 2 3 10 0: 0 7 9 10 11 10 11 0 2 8 = 0 2 8 10 11 = 8: 0 2 3 4 6 10: 0 1 2 4 10 11: 0 1 3 9 11 11 0 2 4 9 = 0 2 4 9 11 = 9: 0 2 3 5 7 0: 0 2 4 9 11 2: 0 2 7 9 10 4: 0 5 7 8 10 subchroma modal system: 0 1 2 4 5 0 2 4 8 9 = 0 2 4 8 9 = 2: 0 2 6 7 10 9: 0 3 5 7 11 2 4 7 9 10 = 2 4 7 9 10 = 7: 0 2 3 7 9 2: 0 2 5 7 8 9: 0 1 5 7 10 4: 0 3 5 6 10 4 7 8 10 11 = 4 7 8 10 11 = 7: 0 1 3 4 9 4: 0 3 4 6 7 7 8 9 11 0 = 0 7 8 9 11 = 7: 0 1 2 4 5 8: 0 1 3 4 11 9: 0 2 3 10 11 0: 0 7 8 9 11 8 9 10 0 2 = 0 2 8 9 10 = 8: 0 1 2 4 6 10: 0 2 4 10 11 2: 0 6 7 8 10 9 10 11 2 4 = 2 4 9 10 11 = 9: 0 1 2 5 7 2: 0 2 7 8 9 4: 0 5 6 7 10 10 11 0 4 7 = 0 4 7 10 11 = 4: 0 3 6 7 8 0: 0 4 7 10 11 11 0 2 7 8 = 0 2 7 8 11 = 7: 0 1 4 5 7 8: 0 3 4 6 11 0: 0 2 7 8 11 subchroma modal system: 0 1 2 4 6 0 2 4 8 10 = 0 2 4 8 10 = 8: 0 2 4 6 8 10: 0 2 4 6 10 0: 0 2 4 8 10 2 4 7 9 11 = 2 4 7 9 11 = 7: 0 2 4 7 9 2: 0 2 5 7 9 9: 0 2 5 7 10 4: 0 3 5 7 10 4 7 8 10 0 = 0 4 7 8 10 = 8: 0 2 4 8 11 0: 0 4 7 8 10 7 8 9 11 2 = 2 7 8 9 11 = 7: 0 1 2 4 7 8: 0 1 3 6 11 8 9 10 0 4 = 0 4 8 9 10 = 8: 0 1 2 4 8 9: 0 1 3 7 11 4: 0 4 5 6 8 0: 0 4 8 9 10 9 10 11 2 7 = 2 7 9 10 11 = 7: 0 2 3 4 7 10: 0 1 4 9 11 2: 0 5 7 8 9 10 11 0 4 8 = 0 4 8 10 11 = 8: 0 2 3 4 8 4: 0 4 6 7 8 0: 0 4 8 10 11 11 0 2 7 9 = 0 2 7 9 11 = 7: 0 2 4 5 7 0: 0 2 7 9 11 2: 0 5 7 9 10 subchroma modal system: 0 1 2 5 6 0 2 4 9 10 = 0 2 4 9 10 = 9: 0 1 3 5 7 10: 0 2 4 6 11 0: 0 2 4 9 10 2: 0 2 7 8 10 2 4 7 10 11 = 2 4 7 10 11 = 7: 0 3 4 7 9 4: 0 3 6 7 10 4 7 8 11 0 = 0 4 7 8 11 = 4: 0 3 4 7 8 8: 0 3 4 8 11 0: 0 4 7 8 11 7 8 9 0 2 = 0 2 7 8 9 = 7: 0 1 2 5 7 0: 0 2 7 8 9 2: 0 5 6 7 10 8 9 10 2 4 = 2 4 8 9 10 = 2: 0 2 6 7 8 9: 0 1 5 7 11 4: 0 4 5 6 10 10: 0 4 6 10 11 9 10 11 4 7 = 4 7 9 10 11 = 7: 0 2 3 4 9 9: 0 1 2 7 10 4: 0 3 5 6 7 10 11 0 7 8 = 0 7 8 10 11 = 7: 0 1 3 4 5 8: 0 2 3 4 11 10: 0 1 2 9 10 0: 0 7 8 10 11 11 0 2 8 9 = 0 2 8 9 11 = 8: 0 1 3 4 6 11: 0 1 3 9 10 2: 0 6 7 9 10 subchroma modal system: 0 1 3 4 6 0 2 7 8 10 = 0 2 7 8 10 = 7: 0 1 3 5 7 8: 0 2 4 6 11 10: 0 2 4 9 10 0: 0 2 7 8 10 2 4 8 9 11 = 2 4 8 9 11 = 2: 0 2 6 7 9 9: 0 2 5 7 11 4: 0 4 5 7 10 4 7 9 10 0 = 0 4 7 9 10 = 9: 0 1 3 7 10 4: 0 3 5 6 8 0: 0 4 7 9 10 7 8 10 11 2 = 2 7 8 10 11 = 7: 0 1 3 4 7 8: 0 2 3 6 11 10: 0 1 4 9 10 8 9 11 0 4 = 0 4 8 9 11 = 8: 0 1 3 4 8 9: 0 2 3 7 11 4: 0 4 5 7 8 9 10 0 2 7 = 0 2 7 9 10 = 7: 0 2 3 5 7 10: 0 2 4 9 11 0: 0 2 7 9 10 2: 0 5 7 8 10 10 11 2 4 8 = 2 4 8 10 11 = 10: 0 1 4 6 10 4: 0 4 6 7 10 11 0 4 7 9 = 0 4 7 9 11 = 9: 0 2 3 7 10 4: 0 3 5 7 8 0: 0 4 7 9 11 subchroma modal system: 0 1 2 3 4 5 0 2 4 7 8 9 = 0 2 4 7 8 9 = 7: 0 1 2 5 7 9 0: 0 2 4 7 8 9 9: 0 3 5 7 10 11 2 4 7 8 9 10 = 2 4 7 8 9 10 = 7: 0 1 2 3 7 9 4: 0 3 4 5 6 10 9: 0 1 5 7 10 11 10: 0 4 6 9 10 11 4 7 8 9 10 11 = 4 7 8 9 10 11 = 7: 0 1 2 3 4 9 9: 0 1 2 7 10 11 4: 0 3 4 5 6 7 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 0: 0 7 8 9 10 11 8 9 10 11 0 2 = 0 2 8 9 10 11 = 8: 0 1 2 3 4 6 9: 0 1 2 3 5 11 10: 0 1 2 4 10 11 11: 0 1 3 9 10 11 2: 0 6 7 8 9 10 9 10 11 0 2 4 = 0 2 4 9 10 11 = 9: 0 1 2 3 5 7 10: 0 1 2 4 6 11 11: 0 1 3 5 10 11 0: 0 2 4 9 10 11 2: 0 2 7 8 9 10 10 11 0 2 4 7 = 0 2 4 7 10 11 = 7: 0 3 4 5 7 9 0: 0 2 4 7 10 11 4: 0 3 6 7 8 10 11 0 2 4 7 8 = 0 2 4 7 8 11 = 7: 0 1 4 5 7 9 0: 0 2 4 7 8 11 4: 0 3 4 7 8 10 subchroma modal system: 0 1 2 3 4 6 0 2 4 7 8 10 = 0 2 4 7 8 10 = 7: 0 1 3 5 7 9 0: 0 2 4 7 8 10 2 4 7 8 9 11 = 2 4 7 8 9 11 = 7: 0 1 2 4 7 9 4: 0 3 4 5 7 10 9: 0 2 5 7 10 11 4 7 8 9 10 0 = 0 4 7 8 9 10 = 9: 0 1 3 7 10 11 0: 0 4 7 8 9 10 7 8 9 10 11 2 = 2 7 8 9 10 11 = 7: 0 1 2 3 4 7 8: 0 1 2 3 6 11 10: 0 1 4 9 10 11 8 9 10 11 0 4 = 0 4 8 9 10 11 = 8: 0 1 2 3 4 8 9: 0 1 2 3 7 11 10: 0 1 2 6 10 11 4: 0 4 5 6 7 8 0: 0 4 8 9 10 11 9 10 11 0 2 7 = 0 2 7 9 10 11 = 7: 0 2 3 4 5 7 9: 0 1 2 3 5 10 10: 0 1 2 4 9 11 0: 0 2 7 9 10 11 2: 0 5 7 8 9 10 10 11 0 2 4 8 = 0 2 4 8 10 11 = 0: 0 2 4 8 10 11 4: 0 4 6 7 8 10 11 0 2 4 7 9 = 0 2 4 7 9 11 = 7: 0 2 4 5 7 9 9: 0 2 3 5 7 10 0: 0 2 4 7 9 11 2: 0 2 5 7 9 10 4: 0 3 5 7 8 10 subchroma modal system: 0 1 2 3 5 6 0 2 4 7 9 10 = 0 2 4 7 9 10 = 7: 0 2 3 5 7 9 9: 0 1 3 5 7 10 0: 0 2 4 7 9 10 2: 0 2 5 7 8 10 2 4 7 8 10 11 = 2 4 7 8 10 11 = 7: 0 1 3 4 7 9 4: 0 3 4 6 7 10 4 7 8 9 11 0 = 0 4 7 8 9 11 = 8: 0 1 3 4 8 11 4: 0 3 4 5 7 8 9: 0 2 3 7 10 11 0: 0 4 7 8 9 11 7 8 9 10 0 2 = 0 2 7 8 9 10 = 7: 0 1 2 3 5 7 8: 0 1 2 4 6 11 9: 0 1 3 5 10 11 10: 0 2 4 9 10 11 0: 0 2 7 8 9 10 8 9 10 11 2 4 = 2 4 8 9 10 11 = 9: 0 1 2 5 7 11 4: 0 4 5 6 7 10 9 10 11 0 4 7 = 0 4 7 9 10 11 = 9: 0 1 2 3 7 10 0: 0 4 7 9 10 11 10 11 0 2 7 8 = 0 2 7 8 10 11 = 7: 0 1 3 4 5 7 8: 0 2 3 4 6 11 10: 0 1 2 4 9 10 0: 0 2 7 8 10 11 11 0 2 4 8 9 = 0 2 4 8 9 11 = 9: 0 2 3 5 7 11 0: 0 2 4 8 9 11 2: 0 2 6 7 9 10 4: 0 4 5 7 8 10 subchroma modal system: 0 1 2 4 5 6 0 2 4 8 9 10 = 0 2 4 8 9 10 = 8: 0 1 2 4 6 8 9: 0 1 3 5 7 11 0: 0 2 4 8 9 10 2: 0 2 6 7 8 10 2 4 7 9 10 11 = 2 4 7 9 10 11 = 7: 0 2 3 4 7 9 9: 0 1 2 5 7 10 4: 0 3 5 6 7 10 4 7 8 10 11 0 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 7 8 9 11 0 2 = 0 2 7 8 9 11 = 7: 0 1 2 4 5 7 9: 0 2 3 5 10 11 0: 0 2 7 8 9 11 8 9 10 0 2 4 = 0 2 4 8 9 10 = 8: 0 1 2 4 6 8 9: 0 1 3 5 7 11 0: 0 2 4 8 9 10 2: 0 2 6 7 8 10 9 10 11 2 4 7 = 2 4 7 9 10 11 = 7: 0 2 3 4 7 9 9: 0 1 2 5 7 10 4: 0 3 5 6 7 10 10 11 0 4 7 8 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 11 0 2 7 8 9 = 0 2 7 8 9 11 = 7: 0 1 2 4 5 7 9: 0 2 3 5 10 11 0: 0 2 7 8 9 11 subchroma modal system: 0 1 2 3 4 5 6 0 2 4 7 8 9 10 = 0 2 4 7 8 9 10 = 7: 0 1 2 3 5 7 9 9: 0 1 3 5 7 10 11 4: 0 3 4 5 6 8 10 0: 0 2 4 7 8 9 10 2 4 7 8 9 10 11 = 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 7 9 9: 0 1 2 5 7 10 11 4: 0 3 4 5 6 7 10 4 7 8 9 10 11 0 = 0 4 7 8 9 10 11 = 8: 0 1 2 3 4 8 11 9: 0 1 2 3 7 10 11 4: 0 3 4 5 6 7 8 0: 0 4 7 8 9 10 11 7 8 9 10 11 0 2 = 0 2 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 10: 0 1 2 4 9 10 11 0: 0 2 7 8 9 10 11 8 9 10 11 0 2 4 = 0 2 4 8 9 10 11 = 9: 0 1 2 3 5 7 11 10: 0 1 2 4 6 10 11 2: 0 2 6 7 8 9 10 4: 0 4 5 6 7 8 10 9 10 11 0 2 4 7 = 0 2 4 7 9 10 11 = 7: 0 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11: 0 1 3 5 8 10 11 0: 0 2 4 7 9 10 11 2: 0 2 5 7 8 9 10 4: 0 3 5 6 7 8 10 10 11 0 2 4 7 8 = 0 2 4 7 8 10 11 = 7: 0 1 3 4 5 7 9 11: 0 1 3 5 8 9 11 4: 0 3 4 6 7 8 10 0: 0 2 4 7 8 10 11 11 0 2 4 7 8 9 = 0 2 4 7 8 9 11 = 7: 0 1 2 4 5 7 9 11: 0 1 3 5 8 9 10 9: 0 2 3 5 7 10 11 4: 0 3 4 5 7 8 10 0: 0 2 4 7 8 9 11 subchroma modal system: 0 1 2 3 4 5 6 7 0 2 4 7 8 9 10 11 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 2 4 7 8 9 10 11 0 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 4 7 8 9 10 11 0 2 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 7 8 9 10 11 0 2 4 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 8 9 10 11 0 2 4 7 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 9 10 11 0 2 4 7 8 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 10 11 0 2 4 7 8 9 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 11 0 2 4 7 8 9 10 = 0 2 4 7 8 9 10 11 = 7: 0 1 2 3 4 5 7 9 9: 0 1 2 3 5 7 10 11 4: 0 3 4 5 6 7 8 10 0: 0 2 4 7 8 9 10 11 2: 0 2 5 6 7 8 9 10 Subset Chord Types by Root Set 0 :0 4 7 11 0 :0 7 8 11 0 :0 7 9 11 0 :0 2 4 7 8 0 :0 2 4 7 10 0 :0 2 4 7 11 0 :0 2 4 8 10 0 :0 2 7 8 11 0 :0 2 7 9 11 0 :0 4 7 8 9 0 :0 4 7 8 11 0 :0 4 7 9 10 0 :0 4 7 9 11 0 :0 4 7 10 11 0 :0 4 8 9 10 0 :0 4 8 10 11 0 :0 7 8 9 11 0 :0 7 8 10 11 0 :0 7 9 10 11 0 :0 2 4 7 8 9 0 :0 2 4 7 8 10 0 :0 2 4 7 8 11 0 :0 2 4 7 9 10 0 :0 2 4 7 9 11 0 :0 2 4 7 10 11 0 :0 2 4 8 9 10 0 :0 2 4 8 9 11 0 :0 2 4 8 10 11 0 :0 2 7 8 9 11 0 :0 2 7 8 10 11 0 :0 2 7 9 10 11 0 :0 4 7 8 9 10 0 :0 4 7 8 9 11 0 :0 4 7 8 10 11 0 :0 4 7 9 10 11 0 :0 4 8 9 10 11 0 :0 7 8 9 10 11 0 :0 2 4 7 8 9 10 0 :0 2 4 7 8 9 11 0 :0 2 4 7 8 10 11 0 :0 2 4 7 9 10 11 0 :0 2 7 8 9 10 11 0 :0 4 7 8 9 10 11 0 :0 2 4 7 8 9 10 11 0 2 :0 2 7 8 0 2 :0 7 8 9 0 2 :0 7 9 10 0 2 :0 2 7 8 9 0 2 :0 2 7 8 10 0 2 :0 2 7 9 10 0 2 :0 7 8 9 10 0 2 :0 2 7 8 9 10 0 2 4 :0 7 8 0 2 4 :0 7 8 10 0 2 4 7 8 9 10 11 :0 0 2 4 7 9 :0 7 0 2 4 8 11 :0 8 0 2 4 9 :0 7 10 0 2 4 9 10 11 :0 10 0 2 7 :0 7 9 0 2 7 :0 2 7 9 0 2 7 8 9 10 :0 2 0 2 7 9 :0 2 7 0 2 7 10 11 :0 9 0 2 9 :0 2 7 10 0 2 10 :0 2 9 10 0 4 :0 4 7 8 0 4 :0 4 7 10 0 4 :0 4 8 10 0 4 :0 4 7 8 10 0 4 7 :0 4 7 0 4 7 8 10 :0 4 0 4 8 :0 4 8 0 4 10 :0 4 10 0 7 :0 2 4 7 0 7 :0 4 7 9 0 7 :0 2 4 7 9 0 7 8 10 :0 2 4 0 7 10 :0 4 9 0 7 10 :0 2 4 9 0 8 :0 4 8 11 0 8 :0 2 4 8 11 0 8 9 10 :0 2 11 0 8 9 10 11 :0 11 0 8 10 :0 4 11 0 8 10 :0 2 4 11 0 9 :0 7 11 0 9 :0 2 7 11 0 9 :0 7 10 11 0 9 :0 2 7 10 11 0 9 10 :0 2 10 11 0 9 10 11 :0 10 11 0 10 :0 2 4 10 0 10 :0 2 9 11 0 10 :0 4 9 10 0 10 :0 4 9 11 0 10 :0 4 10 11 0 10 :0 2 4 9 10 0 10 :0 2 4 9 11 0 10 :0 2 4 10 11 0 10 :0 2 9 10 11 0 10 :0 4 9 10 11 0 10 :0 2 4 9 10 11 0 10 11 :0 9 10 11 0 11 :0 8 9 10 11 2 :0 2 6 7 2 :0 6 7 9 2 :0 2 5 7 8 2 :0 2 6 7 8 2 :0 2 6 7 9 2 :0 2 6 7 10 2 :0 5 7 8 9 2 :0 6 7 8 9 2 :0 5 7 9 10 2 :0 6 7 9 10 2 :0 2 5 7 8 10 2 :0 2 5 7 9 10 2 :0 2 6 7 8 10 2 :0 2 6 7 9 10 2 :0 5 7 8 9 10 2 :0 6 7 8 9 10 2 :0 2 5 7 8 9 10 2 :0 2 6 7 8 9 10 2 :0 2 5 6 7 8 9 10 2 4 :0 6 7 2 4 :0 5 6 7 2 4 :0 5 7 8 2 4 :0 6 7 8 2 4 :0 6 7 10 2 4 :0 5 6 7 10 2 4 :0 5 7 8 10 2 4 :0 6 7 8 10 2 4 7 9 :0 5 7 2 4 7 9 11:0 5 2 4 8 10 :0 6 2 4 9 :0 5 7 10 2 4 9 11 :0 5 10 2 7 :0 5 7 9 2 7 :0 2 5 7 9 2 7 9 :0 2 5 7 2 9 :0 2 5 7 10 4 :0 3 4 10 4 :0 3 5 6 4 :0 3 6 7 4 :0 4 5 6 4 :0 4 6 7 4 :0 4 5 10 4 :0 3 7 8 4 :0 3 6 10 4 :0 3 4 5 6 4 :0 3 4 6 7 4 :0 3 4 5 10 4 :0 3 4 7 8 4 :0 3 4 6 10 4 :0 3 4 7 10 4 :0 3 4 8 10 4 :0 3 5 6 7 4 :0 4 5 6 7 4 :0 3 5 6 8 4 :0 3 5 7 8 4 :0 3 6 7 8 4 :0 4 5 6 8 4 :0 4 5 7 8 4 :0 4 6 7 8 4 :0 3 5 6 10 4 :0 3 6 7 10 4 :0 4 5 6 10 4 :0 4 5 7 10 4 :0 4 6 7 10 4 :0 3 7 8 10 4 :0 3 4 5 6 7 4 :0 3 4 5 7 8 4 :0 3 4 6 7 8 4 :0 3 4 5 6 10 4 :0 3 4 5 7 10 4 :0 3 4 6 7 10 4 :0 3 4 7 8 10 4 :0 4 5 6 7 8 4 :0 3 5 6 7 10 4 :0 4 5 6 7 10 4 :0 3 5 7 8 10 4 :0 3 6 7 8 10 4 :0 4 5 7 8 10 4 :0 4 6 7 8 10 4 :0 3 4 5 6 7 8 4 :0 3 4 5 6 7 10 4 :0 3 4 5 6 8 10 4 :0 3 4 5 7 8 10 4 :0 3 4 6 7 8 10 4 :0 3 5 6 7 8 10 4 :0 4 5 6 7 8 10 4 :0 3 4 5 6 7 8 10 4 7 :0 4 5 4 7 :0 3 4 5 4 7 :0 3 4 7 4 7 :0 4 5 7 4 7 :0 3 4 5 7 4 7 8 :0 3 4 4 7 8 9 11 :0 3 4 7 9 :0 3 7 4 7 9 :0 3 5 7 4 7 9 11 :0 3 5 4 8 :0 3 6 4 8 :0 3 4 6 4 8 :0 3 4 8 4 8 10 :0 4 6 4 9 :0 3 7 10 4 9 :0 3 5 7 10 4 9 11 :0 3 10 4 9 11 :0 3 5 10 4 10 :0 4 6 10 7 :0 1 4 5 7 :0 2 4 5 7 :0 1 4 7 7 :0 3 4 9 7 :0 1 7 9 7 :0 3 7 9 7 :0 1 2 4 5 7 :0 1 3 4 5 7 :0 1 2 4 7 7 :0 1 3 4 7 7 :0 2 3 4 7 7 :0 1 3 4 9 7 :0 2 3 4 9 7 :0 1 2 7 9 7 :0 1 4 5 7 7 :0 2 4 5 7 7 :0 1 3 7 9 7 :0 1 4 7 9 7 :0 2 3 7 9 7 :0 3 4 7 9 7 :0 1 5 7 9 7 :0 3 5 7 9 7 :0 4 5 7 9 7 :0 1 2 3 4 5 7 :0 1 2 3 4 7 7 :0 1 2 3 4 9 7 :0 1 2 4 5 7 7 :0 1 3 4 5 7 7 :0 2 3 4 5 7 7 :0 1 2 3 7 9 7 :0 1 2 4 7 9 7 :0 1 3 4 7 9 7 :0 2 3 4 7 9 7 :0 1 2 5 7 9 7 :0 1 3 5 7 9 7 :0 1 4 5 7 9 7 :0 2 3 5 7 9 7 :0 2 4 5 7 9 7 :0 3 4 5 7 9 7 :0 1 2 3 4 5 7 7 :0 1 2 3 4 7 9 7 :0 1 2 3 5 7 9 7 :0 1 2 4 5 7 9 7 :0 1 3 4 5 7 9 7 :0 2 3 4 5 7 9 7 :0 1 2 3 4 5 7 9 7 8 :0 1 3 4 7 8 :0 2 3 4 7 8 :0 1 2 3 4 7 8 9 :0 2 3 7 8 9 :0 1 2 3 7 8 9 10 :0 1 2 7 8 9 10 11 :0 1 7 8 9 11 :0 1 3 7 8 10 :0 1 4 7 8 10 :0 1 2 4 7 9 :0 1 7 7 9 :0 1 2 7 7 9 :0 2 3 5 7 9 :0 1 3 7 7 9 :0 2 3 7 7 9 :0 1 5 7 7 9 :0 1 2 3 5 7 9 :0 1 2 3 7 7 9 :0 1 2 5 7 7 9 :0 1 3 5 7 7 9 :0 2 3 5 7 7 9 :0 1 2 3 5 7 7 9 11 :0 1 3 5 7 10 :0 1 4 9 7 10 :0 1 2 4 9 7 11 :0 3 9 8 :0 1 3 6 8 :0 2 3 6 8 :0 3 4 11 8 :0 3 6 11 8 :0 1 2 3 6 8 :0 1 3 4 6 8 :0 2 3 4 6 8 :0 1 2 4 8 8 :0 1 3 4 8 8 :0 2 3 4 8 8 :0 1 3 4 11 8 :0 2 3 4 11 8 :0 2 4 6 8 8 :0 1 3 6 11 8 :0 1 4 8 11 8 :0 2 3 6 11 8 :0 3 4 6 11 8 :0 3 4 8 11 8 :0 1 2 3 4 6 8 :0 1 2 3 4 8 8 :0 1 2 3 4 11 8 :0 1 2 4 6 8 8 :0 1 2 3 6 11 8 :0 1 3 4 8 11 8 :0 2 3 4 6 11 8 :0 2 3 4 8 11 8 :0 1 2 3 4 8 11 8 9 :0 2 3 11 8 9 :0 1 2 3 11 8 9 10 11 :0 1 11 8 9 11 :0 3 11 8 9 11 :0 1 3 11 8 10 :0 2 4 6 8 10 :0 1 4 11 8 10 :0 4 6 11 8 10 :0 1 2 4 6 8 10 :0 1 2 4 11 8 10 :0 2 4 6 11 8 10 :0 1 2 4 6 11 9 :0 2 3 10 9 :0 1 7 10 9 :0 1 7 11 9 :0 3 7 11 9 :0 5 7 11 9 :0 1 2 3 10 9 :0 1 2 7 10 9 :0 1 2 7 11 9 :0 1 3 7 10 9 :0 1 3 7 11 9 :0 2 3 7 10 9 :0 2 3 7 11 9 :0 2 3 10 11 9 :0 1 5 7 10 9 :0 1 5 7 11 9 :0 2 5 7 11 9 :0 1 7 10 11 9 :0 3 5 7 11 9 :0 3 7 10 11 9 :0 5 7 10 11 9 :0 1 2 3 5 10 9 :0 1 2 3 5 11 9 :0 1 2 3 7 10 9 :0 1 2 3 7 11 9 :0 1 2 3 10 11 9 :0 1 2 5 7 10 9 :0 1 2 5 7 11 9 :0 1 2 7 10 11 9 :0 1 3 5 7 10 9 :0 1 3 5 7 11 9 :0 2 3 5 7 10 9 :0 2 3 5 7 11 9 :0 2 3 5 10 11 9 :0 1 3 7 10 11 9 :0 2 3 7 10 11 9 :0 1 5 7 10 11 9 :0 2 5 7 10 11 9 :0 3 5 7 10 11 9 :0 1 2 3 5 7 10 9 :0 1 2 3 5 7 11 9 :0 1 2 3 7 10 11 9 :0 1 2 5 7 10 11 9 :0 1 3 5 7 10 11 9 :0 2 3 5 7 10 11 9 :0 1 2 3 5 7 10 11 9 10 11 :0 1 10 11 9 11 :0 1 3 10 9 11 :0 3 5 11 9 11 :0 3 10 11 9 11 :0 5 10 11 9 11 :0 1 3 10 11 9 11 :0 1 3 5 10 11 10 :0 1 4 10 10 :0 1 2 4 10 10 :0 1 2 9 10 10 :0 1 4 6 10 10 :0 2 4 6 10 10 :0 1 4 9 10 10 :0 1 4 9 11 10 :0 1 4 10 11 10 :0 4 6 10 11 10 :0 1 2 4 9 10 10 :0 1 2 4 9 11 10 :0 1 2 4 10 11 10 :0 1 2 6 10 11 10 :0 1 4 9 10 11 10 :0 4 6 9 10 11 10 :0 1 2 4 6 10 11 10 :0 1 2 4 9 10 11 11 :0 3 9 10 11 :0 3 9 11 11 :0 1 3 9 10 11 :0 1 3 9 11 11 :0 3 9 10 11 11 :0 1 3 9 10 11 11 :0 1 3 5 8 9 10 11 :0 1 3 5 8 9 11 11 :0 1 3 5 8 10 11 Superset Chord Types by Root Set 0 :0 2 4 7 8 9 10 11 0 :0 2 3 4 7 8 9 10 11 0 :0 1 2 4 7 8 9 10 11 0 :0 2 4 5 7 8 9 10 11 0 :0 2 4 6 7 8 9 10 11 0 :0 1 2 3 4 7 8 9 10 11 0 :0 1 2 4 5 7 8 9 10 11 0 :0 2 3 4 5 7 8 9 10 11 0 :0 2 3 4 6 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 8 10 :0 1 2 3 4 6 7 8 9 10 11 0 2 :0 2 4 5 6 7 8 9 10 11 0 2 3 10 :0 1 2 4 5 6 7 8 9 10 11 0 2 4 5 :0 2 3 4 5 6 7 8 9 10 11 0 7 9 11 :0 1 2 3 4 5 7 8 9 10 11 0 10 :0 1 2 4 6 7 8 9 10 11 1 :0 1 3 6 7 8 9 10 11 1 :0 1 2 3 6 7 8 9 10 11 1 :0 1 3 4 6 7 8 9 10 11 1 2 9 11 :0 1 2 3 5 6 7 8 9 10 11 1 3 4 11 :0 1 3 4 5 6 7 8 9 10 11 1 11 :0 1 3 5 6 7 8 9 10 11 2 :0 2 5 6 7 8 9 10 2 :0 2 3 5 6 7 8 9 10 2 :0 2 4 5 6 7 8 9 10 2 :0 1 2 3 5 6 7 8 9 10 2 :0 1 2 4 5 6 7 8 9 10 2 :0 1 2 5 6 7 8 9 10 11 2 :0 2 3 5 6 7 8 9 10 11 2 4 :0 2 3 4 5 6 7 8 9 10 2 4 6 7 :0 1 2 3 4 5 6 7 8 9 10 3 :0 1 4 5 6 7 8 9 11 3 :0 1 2 4 5 6 7 8 9 11 3 :0 1 3 4 5 6 7 8 9 11 3 :0 1 4 5 6 7 8 9 10 11 3 5 7 8 :0 1 2 3 4 5 6 7 8 9 11 4 :0 3 4 5 6 7 8 10 4 :0 1 3 4 5 6 7 8 10 4 :0 2 3 4 5 6 7 8 10 4 :0 3 4 5 6 7 8 9 10 4 :0 3 4 5 6 7 8 10 11 4 :0 1 3 4 5 6 7 8 9 10 4 :0 1 3 4 5 6 7 8 10 11 4 :0 2 3 4 5 6 7 8 10 11 4 :0 3 4 5 6 7 8 9 10 11 4 6 :0 1 2 3 4 5 6 7 8 10 4 6 8 9 :0 1 2 3 4 5 6 7 8 10 11 5 :0 2 3 4 5 6 7 9 11 5 :0 2 3 4 5 6 7 8 9 11 5 :0 2 3 4 5 6 7 9 10 11 5 7 :0 1 2 3 4 5 6 7 9 11 5 7 9 10 :0 1 2 3 4 5 6 7 9 10 11 6 :0 1 2 3 4 5 6 8 10 6 :0 1 2 3 4 5 6 8 9 10 6 8 :0 1 2 3 4 5 6 8 10 11 6 8 10 11 :0 1 2 3 4 5 6 8 9 10 11 7 :0 1 2 3 4 5 7 9 7 :0 1 2 3 4 5 6 7 9 7 :0 1 2 3 4 5 7 8 9 7 :0 1 2 3 4 5 7 9 10 7 :0 1 2 3 4 5 7 9 11 7 :0 1 2 3 4 5 6 7 8 9 7 :0 1 2 3 4 5 6 7 9 10 7 :0 1 2 3 4 5 7 8 9 10 7 :0 1 2 3 4 5 7 8 9 11 7 9 :0 1 2 3 4 5 7 9 10 11 8 :0 1 2 3 4 6 7 8 11 8 :0 1 2 3 4 6 8 10 11 8 :0 1 2 3 4 5 6 7 8 11 8 :0 1 2 3 4 5 6 8 9 11 8 :0 1 2 3 4 6 7 8 9 11 8 :0 1 2 3 4 6 7 8 10 11 8 10 :0 1 2 3 4 6 8 9 10 11 9 :0 1 2 3 5 7 10 11 9 :0 1 2 3 4 5 7 10 11 9 :0 1 2 3 5 6 7 10 11 9 :0 1 2 3 5 7 8 10 11 9 :0 1 2 3 5 7 9 10 11 9 :0 1 2 3 4 5 6 7 10 11 9 :0 1 2 3 4 5 7 8 10 11 9 :0 1 2 3 5 6 7 8 10 11 9 :0 1 2 3 5 6 7 9 10 11 9 11 :0 1 2 3 5 7 8 9 10 11 10 :0 1 2 4 6 7 9 10 11 10 :0 1 2 3 4 5 6 9 10 11 10 :0 1 2 3 4 6 7 9 10 11 10 :0 1 2 4 5 6 7 9 10 11 10 :0 1 2 4 5 6 8 9 10 11 11 :0 1 3 5 7 8 9 10 11 11 :0 1 2 3 4 5 8 9 10 11 11 :0 1 2 3 5 6 8 9 10 11 11 :0 1 3 4 5 6 8 9 10 11 11 :0 1 3 4 5 7 8 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 2 4 7 8 9 10 11 = 0: 0 2 4 7 8 9 10 11 = 2: 0 2 5 6 7 8 9 10 = 4: 0 3 4 5 6 7 8 10 = 7: 0 1 2 3 4 5 7 9 = 8: 0 1 2 3 4 6 8 11 = 9: 0 1 2 3 5 7 10 11 = 10: 0 1 2 4 6 9 10 11 = 11: 0 1 3 5 8 9 10 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 7 8 9 10 11 = 7: 0 1 2 3 4 = 8: 0 1 2 3 11 = 9: 0 1 2 10 11 = 10: 0 1 9 10 11 = 11: 0 8 9 10 11 0 2 = maj. 2nd, dim., maj. 9th | 0 2 7 8 9 10 = 0: 0 2 7 8 9 10 = 2: 0 5 6 7 8 10 = 7: 0 1 2 3 5 7 = 8: 0 1 2 4 6 11 = 9: 0 1 3 5 10 11 = 10: 0 2 4 9 10 11 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 4 7 8 9 11 = 4: 0 3 4 5 7 = 7: 0 1 2 4 9 = 8: 0 1 3 8 11 = 9: 0 2 7 10 11 = 11: 0 5 8 9 10 0 4 = maj. 3rd, maj. 10th, dim. 4th | 0 4 7 8 10 = 0: 0 4 7 8 10 = 4: 0 3 4 6 8 = 7: 0 1 3 5 9 = 8: 0 2 4 8 11 = 10: 0 2 6 9 10 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 2 4 7 9 11 = 2: 0 2 5 7 9 = 4: 0 3 5 7 10 = 7: 0 2 4 7 9 = 9: 0 2 5 7 10 = 11: 0 3 5 8 10 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 2 4 8 10 = 2: 0 2 6 8 = 4: 0 4 6 10 = 8: 0 2 6 8 = 10: 0 4 6 10 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 0 2 4 7 9 = 0: 0 2 4 7 9 = 2: 0 2 5 7 10 = 4: 0 3 5 8 10 = 7: 0 2 5 7 9 = 9: 0 3 5 7 10 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 0 2 4 8 11 = 0: 0 2 4 8 11 = 2: 0 2 6 9 10 = 4: 0 4 7 8 10 = 8: 0 3 4 6 8 = 11: 0 1 3 5 9 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 2 7 10 11 = 0: 0 2 7 10 11 = 2: 0 5 8 9 10 = 7: 0 3 4 5 7 = 10: 0 1 2 4 9 = 11: 0 1 3 8 11 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 2 4 9 10 11 = 0: 0 2 4 9 10 11 = 2: 0 2 7 8 9 10 = 4: 0 5 6 7 8 10 = 9: 0 1 2 3 5 7 = 10: 0 1 2 4 6 11 = 11: 0 1 3 5 10 11 0 11 = maj. 7th, maj. 14th | 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 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 7 8 9 11 = 7: 0 1 2 4 = 8: 0 1 3 11 = 9: 0 2 10 11 = 11: 0 8 9 10 0 1 4 | 7 8 10 = 7: 0 1 3 = 8: 0 2 11 = 10: 0 9 10 0 2 3 = min. trichord | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 2 4 = maj. trichord | 0 7 8 10 = 0: 0 7 8 10 = 7: 0 1 3 5 = 8: 0 2 4 11 = 10: 0 2 9 10 0 3 4 | 4 7 8 = 4: 0 3 4 = 7: 0 1 9 = 8: 0 8 11 Sus2 triads (Scale Degrees: 125) 0 1 7 | 7 9 = 7: 0 2 = 9: 0 10 0 2 7 = sus2, 3 in 5ths | 0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 8 9 10 11 = 8: 0 1 2 3 = 9: 0 1 2 11 = 10: 0 1 10 11 = 11: 0 9 10 11 0 2 11 | 0 8 9 10 = 0: 0 8 9 10 = 8: 0 1 2 4 = 9: 0 1 3 11 = 10: 0 2 10 11 Scale Degrees: 134 0 3 5 | 4 7 9 11 = 4: 0 3 5 7 = 7: 0 2 4 9 = 9: 0 2 7 10 = 11: 0 5 8 10 0 4 5 | 4 7 = 4: 0 3 = 7: 0 9 Triads (Scale Degrees: 135) 0 3 6 = dim. | 4 8 = 4: 0 4 = 8: 0 8 0 3 7 = m = minor | 4 7 9 = 4: 0 3 5 = 7: 0 2 9 = 9: 0 7 10 0 4 6 = Mb5 | 4 8 10 = 4: 0 4 6 = 8: 0 2 8 = 10: 0 6 10 0 4 7 = M = major | 0 4 7 = 0: 0 4 7 = 4: 0 3 8 = 7: 0 5 9 0 4 8 = + = augmented | 0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 7 11 = 7: 0 4 = 11: 0 8 0 4 9 = M6 no 5th | 0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 4 9 11 = 4: 0 5 7 = 9: 0 2 7 = 11: 0 5 10 0 3 11 = mM7 no 5th | 8 9 11 = 8: 0 1 3 = 9: 0 2 11 = 11: 0 9 10 0 4 10 = 7 no 5th | 0 4 10 = 0: 0 4 10 = 4: 0 6 8 = 10: 0 2 6 0 4 11 = M7 no 5th | 0 8 10 = 0: 0 8 10 = 8: 0 2 4 = 10: 0 2 10 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 2 4 7 9 = 2: 0 2 5 7 = 4: 0 3 5 10 = 7: 0 2 7 9 = 9: 0 5 7 10 0 6 7 = sus#4, Viennese trichord | 2 4 = 2: 0 2 = 4: 0 10 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 2 4 9 11 = 2: 0 2 7 9 = 4: 0 5 7 10 = 9: 0 2 5 7 = 11: 0 3 5 10 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 0 2 4 = 0: 0 2 4 = 2: 0 2 10 = 4: 0 8 10 0 7 9 | 0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 0 2 4 9 = 0: 0 2 4 9 = 2: 0 2 7 10 = 4: 0 5 8 10 = 9: 0 3 5 7 0 7 11 = M power chord | 0 9 = 0: 0 9 = 9: 0 3 Scale Degrees: 167 0 10 11 | 0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11 chromatic tetrachord (Scale Degrees: 1223) 0 1 2 3 = chromatic tetrachord | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 1 2 4 | 7 8 10 = 7: 0 1 3 = 8: 0 2 11 = 10: 0 9 10 0 1 3 4 = 1st 4 aux dim. | 7 8 = 7: 0 1 = 8: 0 11 0 2 3 4 | 7 8 = 7: 0 1 = 8: 0 11 Scale Degrees: 1225 0 1 2 7 | 7 9 = 7: 0 2 = 9: 0 10 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 7 9 11 = 7: 0 2 4 = 9: 0 2 10 = 11: 0 8 10 0 1 4 5 = Greek chromatic tetrachord | 7 = 7: 0 0 2 3 5 = min. tetrachord | 7 9 = 7: 0 2 = 9: 0 10 0 2 4 5 = maj. tetrachord | 7 = 7: 0 0 2 4 6 = whole tone tetrachord | 8 10 = 8: 0 2 = 10: 0 10 0 3 4 5 | 4 7 = 4: 0 3 = 7: 0 9 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 8 = 8: 0 0 1 3 7 = m add b9, all-int | 7 9 = 7: 0 2 = 9: 0 10 0 1 4 7 = M add b9 | 7 = 7: 0 0 2 3 6 = dim. add 9 | 8 = 8: 0 0 2 3 7 = m add9 | 7 9 = 7: 0 2 = 9: 0 10 0 2 4 7 = add9 , Mu chord | 0 7 = 0: 0 7 = 7: 0 5 0 3 4 6 = Mb5 add #9 | 4 8 = 4: 0 4 = 8: 0 8 0 3 4 7 = add #9, maj-min chord | 4 7 = 4: 0 3 = 7: 0 9 0 3 4 8 = aug. add #9 | 4 8 = 4: 0 4 = 8: 0 8 6/9 chord no 5th (Scale Degrees: 1236) 0 1 4 9 | 7 10 = 7: 0 3 = 10: 0 9 0 2 4 9 | 0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9 0 3 4 9 | 7 = 7: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 9 11 = 9: 0 2 = 11: 0 10 0 1 3 11 = Mm7b9 no 5th | 8 9 11 = 8: 0 1 3 = 9: 0 2 11 = 11: 0 9 10 0 1 4 10 = 7b9 no 5th | 10 = 10: 0 0 1 4 11 = M7b9 no 5th | 8 10 = 8: 0 2 = 10: 0 10 0 2 3 10 = m9 no 5th | 9 = 9: 0 0 2 3 11 = mM9 no 5th | 8 9 = 8: 0 1 = 9: 0 11 0 2 4 10 = 9 no 5th | 0 10 = 0: 0 10 = 10: 0 2 0 2 4 11 = M9 no 5th | 0 8 10 = 0: 0 8 10 = 8: 0 2 4 = 10: 0 2 10 0 3 4 10 = 7#9 no 5th, Hendrix, all-int | 4 = 4: 0 0 3 4 11 = M7#9 no 5th | 8 = 8: 0 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 5 7 | 7 9 = 7: 0 2 = 9: 0 10 0 2 5 7 | 2 7 9 = 2: 0 5 7 = 7: 0 2 7 = 9: 0 5 10 0 2 6 7 | 2 = 2: 0 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 9 = all-int | 7 = 7: 0 0 2 7 8 | 0 2 = 0: 0 2 = 2: 0 10 0 2 7 9 = 4 in 5ths | 0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 9 = 9: 0 0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd | 9 = 9: 0 0 2 7 10 = 9 no 3rd, m9 no 3rd | 0 2 9 = 0: 0 2 9 = 2: 0 7 10 = 9: 0 3 5 0 2 7 11 = M9 no 3rd, mM9 no 3rd | 0 9 = 0: 0 9 = 9: 0 3 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 1 10 11 | 9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11 0 2 9 10 | 0 2 10 = 0: 0 2 10 = 2: 0 8 10 = 10: 0 2 4 0 2 9 11 | 0 10 = 0: 0 10 = 10: 0 2 0 2 10 11 | 0 9 10 = 0: 0 9 10 = 9: 0 1 3 = 10: 0 2 11 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 4 = 4: 0 0 3 5 7 = m add 11 | 4 7 9 = 4: 0 3 5 = 7: 0 2 9 = 9: 0 7 10 0 3 6 7 = m add #11 | 4 = 4: 0 0 4 5 6 = Mb5 add 11 | 4 = 4: 0 0 4 5 7 = M add 11 | 4 7 = 4: 0 3 = 7: 0 9 0 4 6 7 = Madd#11, Jetsons, all-int | 4 = 4: 0 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 10 = m11 no 5th 7th 9th, 4 in 4ths | 4 9 11 = 4: 0 5 7 = 9: 0 2 7 = 11: 0 5 10 0 3 5 11 = all-int | 9 11 = 9: 0 2 = 11: 0 10 0 4 5 10 | 4 = 4: 0 6th Chords (Scale Degrees: 1356) 0 3 7 8 = mb6 | 4 = 4: 0 0 3 7 9 = m6 , Tristan chord | 7 = 7: 0 0 4 7 8 = Mb6 | 0 4 = 0: 0 4 = 4: 0 8 0 4 7 9 = 6 | 0 7 = 0: 0 7 = 7: 0 5 7th Chords (Scale Degrees: 1357) 0 3 6 10 = m7b5, Tristan chord, half-dim. 7th | 4 = 4: 0 0 3 6 11 = mM7b5, dim. maj. 7th chord | 8 = 8: 0 0 3 7 10 = m7 | 4 9 = 4: 0 5 = 9: 0 7 0 3 7 11 = mM7 | 9 = 9: 0 0 4 6 10 = 7b5, French aug. 6th chord | 4 10 = 4: 0 6 = 10: 0 6 0 4 6 11 = M7b5 | 8 10 = 8: 0 2 = 10: 0 10 0 4 7 10 = 7, German aug. 6th chord | 0 4 = 0: 0 4 = 4: 0 8 0 4 7 11 = M7 | 0 = 0: 0 0 4 8 10 = 7#5 | 0 4 = 0: 0 4 = 4: 0 8 0 4 8 11 = M7#5 | 0 8 = 0: 0 8 = 8: 0 4 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 10 = m7/6 no 5th | 11 = 11: 0 0 3 9 11 = mM7/6 no 5th | 11 = 11: 0 0 3 10 11 = mM7#6 no 5th | 9 11 = 9: 0 2 = 11: 0 10 0 4 9 10 = 7/6 no 5th, all-int | 0 10 = 0: 0 10 = 10: 0 2 0 4 9 11 = M7/6 no 5th | 0 10 = 0: 0 10 = 10: 0 2 0 4 10 11 = M7/#6 no 5th | 0 10 = 0: 0 10 = 10: 0 2 Scale Degrees: 1445 0 5 6 7 = dream chord | 2 4 = 2: 0 2 = 4: 0 10 Scale Degrees: 1456 0 5 7 8 | 2 4 = 2: 0 2 = 4: 0 10 0 5 7 9 | 2 7 = 2: 0 5 = 7: 0 7 0 6 7 8 | 2 4 = 2: 0 2 = 4: 0 10 0 6 7 9 | 2 = 2: 0 Sus 4 7th Chords (Scale Degrees: 1457) 0 5 7 10 = 7sus4 | 2 4 9 = 2: 0 2 7 = 4: 0 5 10 = 9: 0 5 7 0 5 7 11 = M7sus4 | 9 = 9: 0 0 6 7 10 = 7sus#4, all-int | 2 4 = 2: 0 2 = 4: 0 10 Scale Degrees: 1467 0 5 10 11 | 9 11 = 9: 0 2 = 11: 0 10 Scale Degrees: 1566 0 7 8 9 | 0 2 = 0: 0 2 = 2: 0 10 Scale Degrees: 1567 0 7 8 10 | 0 2 4 = 0: 0 2 4 = 2: 0 2 10 = 4: 0 8 10 0 7 8 11 | 0 = 0: 0 0 7 9 10 | 0 2 = 0: 0 2 = 2: 0 10 0 7 9 11 | 0 = 0: 0 0 7 10 11 | 0 9 = 0: 0 9 = 9: 0 3 Scale Degrees: 1667 0 9 10 11 | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 chromatic pentachord (Scale Degrees: 12233) 0 1 2 3 4 = 1st 5 chromatics | 7 8 = 7: 0 1 = 8: 0 11 Scale Degrees: 12234 0 1 2 3 5 | 7 9 = 7: 0 2 = 9: 0 10 0 1 2 3 6 | 8 = 8: 0 0 1 2 4 5 | 7 = 7: 0 0 1 2 4 6 | 8 10 = 8: 0 2 = 10: 0 10 0 1 3 4 5 | 7 = 7: 0 0 1 3 4 6 = auxdim. pentachord | 8 = 8: 0 0 2 3 4 6 | 8 = 8: 0 Scale Degrees: 12235 0 1 2 3 7 | 7 9 = 7: 0 2 = 9: 0 10 0 1 2 4 7 | 7 = 7: 0 0 1 2 4 8 | 8 = 8: 0 0 1 3 4 7 | 7 = 7: 0 0 1 3 4 8 = Farben chord | 8 = 8: 0 0 2 3 4 7 | 7 = 7: 0 0 2 3 4 8 | 8 = 8: 0 Scale Degrees: 12236 0 1 2 4 9 | 7 10 = 7: 0 3 = 10: 0 9 0 1 3 4 9 | 7 = 7: 0 0 2 3 4 9 | 7 = 7: 0 Scale Degrees: 12237 0 1 2 3 10 | 9 = 9: 0 0 1 2 3 11 | 8 9 = 8: 0 1 = 9: 0 11 0 1 2 4 10 | 10 = 10: 0 0 1 2 4 11 | 8 10 = 8: 0 2 = 10: 0 10 0 1 3 4 11 | 8 = 8: 0 0 2 3 4 11 | 8 = 8: 0 Scale Degrees: 12245 0 1 2 5 7 | 7 9 = 7: 0 2 = 9: 0 10 Scale Degrees: 12256 0 1 2 7 9 | 7 = 7: 0 Scale Degrees: 12257 0 1 2 7 10 | 9 = 9: 0 0 1 2 7 11 | 9 = 9: 0 Scale Degrees: 12267 0 1 2 9 10 | 10 = 10: 0 1st 5 notes of diamorphic scale (Scale Degrees: 12345) 0 1 3 5 7 = phrygilocrian pentachord | 7 9 = 7: 0 2 = 9: 0 10 0 1 4 5 7 = phrygian maj. pentachord | 7 = 7: 0 0 2 3 5 7 = aeodorian pentachord | 7 9 = 7: 0 2 = 9: 0 10 0 2 4 5 7 = maj. pentachord | 7 = 7: 0 0 3 4 5 6 | 4 = 4: 0 0 3 4 5 7 | 4 7 = 4: 0 3 = 7: 0 9 0 3 4 6 7 | 4 = 4: 0 11th chords no 5th (Scale Degrees: 12347) 0 3 4 5 10 | 4 = 4: 0 6/9 chords (Scale Degrees: 12356) 0 1 3 7 9 | 7 = 7: 0 0 1 4 7 9 = Elektra chord | 7 = 7: 0 0 2 3 7 9 = m6/9, akebono, Thai1 | 7 = 7: 0 0 2 4 6 8 = whole tone pentachord | 8 = 8: 0 0 2 4 7 8 | 0 = 0: 0 0 2 4 7 9 = maj. pent., 5 in 5ths, ryo, tizita maj. | 0 7 = 0: 0 7 = 7: 0 5 0 3 4 7 8 | 4 = 4: 0 0 3 4 7 9 = slendro | 7 = 7: 0 9th chords (Scale Degrees: 12357) 0 1 3 6 11 = mM7b5b9 | 8 = 8: 0 0 1 3 7 10 = m7b9 | 9 = 9: 0 0 1 3 7 11 = mM7b9 | 9 = 9: 0 0 1 4 6 10 = 7b5b9 | 10 = 10: 0 0 1 4 8 11 = M7#5b9 | 8 = 8: 0 0 2 3 6 11 = mM9b5 | 8 = 8: 0 0 2 3 7 10 = m9 | 9 = 9: 0 0 2 3 7 11 = mM9, Farben chord | 9 = 9: 0 0 2 4 6 10 = 9b5, alt. chord | 10 = 10: 0 0 2 4 6 11 = M9b5 | 8 10 = 8: 0 2 = 10: 0 10 0 2 4 7 10 = 9 | 0 = 0: 0 0 2 4 7 11 = M9 | 0 = 0: 0 0 2 4 8 10 = 9#5, alt. chord | 0 = 0: 0 0 2 4 8 11 = M9#5 | 0 8 = 0: 0 8 = 8: 0 4 0 3 4 6 10 = 7b5#9 | 4 = 4: 0 0 3 4 6 11 = M7b5#9 | 8 = 8: 0 0 3 4 7 10 = 7#9 | 4 = 4: 0 0 3 4 8 10 = 7#5#9 | 4 = 4: 0 0 3 4 8 11 = M7#5#9 | 8 = 8: 0 13th chords no 5th no 11th (Scale Degrees: 12367) 0 1 3 9 10 = m13b9 no 5th no 11th | 11 = 11: 0 0 1 3 9 11 = mM13b9 no 5th no 11th | 11 = 11: 0 0 1 3 10 11 = mM#13b9 no 5th no 11th | 9 11 = 9: 0 2 = 11: 0 10 0 1 4 9 10 = 13b9 no 5th no 11th | 10 = 10: 0 0 1 4 9 11 = M13b9 no 5th no 11th | 10 = 10: 0 0 1 4 10 11 = 7#13b9 no 5th no 11th | 10 = 10: 0 0 2 3 10 11 = m#13 no 5th no 11th | 9 = 9: 0 0 2 4 9 10 = 13 no 5th no 11th | 0 10 = 0: 0 10 = 10: 0 2 0 2 4 9 11 = M13 no 5th no 11th | 0 10 = 0: 0 10 = 10: 0 2 0 2 4 10 11 = M#13 no 5th no 11th | 0 10 = 0: 0 10 = 10: 0 2 Scale Degrees: 12456 0 1 5 7 9 | 7 = 7: 0 0 2 5 7 8 = kokin joshi | 2 = 2: 0 0 2 5 7 9 = ritsu, yo desc., Thai2, ambassel maj. |

order	origin	root set	chord type (as pcset)
1	0	0	0 2 4 7 8 9 10 11 = 0: 0 2 4 7 8 9 10 11 = 2: 0 2 5 6 7 8 9 10 = 4: 0 3 4 5 6 7 8 10 = 7: 0 1 2 3 4 5 7 9 = 8: 0 1 2 3 4 6 8 11 = 9: 0 1 2 3 5 7 10 11 = 10: 0 1 2 4 6 9 10 11 = 11: 0 1 3 5 8 9 10 11

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

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

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

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

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

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	7 8 9 10 11 = 7: 0 1 2 3 4 = 8: 0 1 2 3 11 = 9: 0 1 2 10 11 = 10: 0 1 9 10 11 = 11: 0 8 9 10 11
0 2 = maj. 2nd, dim., maj. 9th	\|	0 2 7 8 9 10 = 0: 0 2 7 8 9 10 = 2: 0 5 6 7 8 10 = 7: 0 1 2 3 5 7 = 8: 0 1 2 4 6 11 = 9: 0 1 3 5 10 11 = 10: 0 2 4 9 10 11

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

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	2 4 7 9 11 = 2: 0 2 5 7 9 = 4: 0 3 5 7 10 = 7: 0 2 4 7 9 = 9: 0 2 5 7 10 = 11: 0 3 5 8 10
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th	\|	2 4 8 10 = 2: 0 2 6 8 = 4: 0 4 6 10 = 8: 0 2 6 8 = 10: 0 4 6 10

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	0 2 4 7 9 = 0: 0 2 4 7 9 = 2: 0 2 5 7 10 = 4: 0 3 5 8 10 = 7: 0 2 5 7 9 = 9: 0 3 5 7 10

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

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

chromatic trichord (Scale Degrees: 122)
0 1 2 = 1st 3 chromatics	\|	7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	7 8 9 11 = 7: 0 1 2 4 = 8: 0 1 3 11 = 9: 0 2 10 11 = 11: 0 8 9 10
0 1 4	\|	7 8 10 = 7: 0 1 3 = 8: 0 2 11 = 10: 0 9 10
0 2 3 = min. trichord	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11
0 2 4 = maj. trichord	\|	0 7 8 10 = 0: 0 7 8 10 = 7: 0 1 3 5 = 8: 0 2 4 11 = 10: 0 2 9 10
0 3 4	\|	4 7 8 = 4: 0 3 4 = 7: 0 1 9 = 8: 0 8 11

Sus2 triads (Scale Degrees: 125)
0 1 7	\|	7 9 = 7: 0 2 = 9: 0 10
0 2 7 = sus2, 3 in 5ths	\|	0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10

Root with upper and lower neighbors (Scale Degrees: 127)
0 1 11 = root & chr. neighbors	\|	8 9 10 11 = 8: 0 1 2 3 = 9: 0 1 2 11 = 10: 0 1 10 11 = 11: 0 9 10 11
0 2 11	\|	0 8 9 10 = 0: 0 8 9 10 = 8: 0 1 2 4 = 9: 0 1 3 11 = 10: 0 2 10 11

Scale Degrees: 134
0 3 5	\|	4 7 9 11 = 4: 0 3 5 7 = 7: 0 2 4 9 = 9: 0 2 7 10 = 11: 0 5 8 10
0 4 5	\|	4 7 = 4: 0 3 = 7: 0 9

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	4 8 = 4: 0 4 = 8: 0 8
0 3 7 = m = minor	\|	4 7 9 = 4: 0 3 5 = 7: 0 2 9 = 9: 0 7 10
0 4 6 = Mb5	\|	4 8 10 = 4: 0 4 6 = 8: 0 2 8 = 10: 0 6 10
0 4 7 = M = major	\|	0 4 7 = 0: 0 4 7 = 4: 0 3 8 = 7: 0 5 9
0 4 8 = + = augmented	\|	0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	7 11 = 7: 0 4 = 11: 0 8
0 4 9 = M6 no 5th	\|	0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	4 9 11 = 4: 0 5 7 = 9: 0 2 7 = 11: 0 5 10
0 3 11 = mM7 no 5th	\|	8 9 11 = 8: 0 1 3 = 9: 0 2 11 = 11: 0 9 10
0 4 10 = 7 no 5th	\|	0 4 10 = 0: 0 4 10 = 4: 0 6 8 = 10: 0 2 6
0 4 11 = M7 no 5th	\|	0 8 10 = 0: 0 8 10 = 8: 0 2 4 = 10: 0 2 10

Sus4 Triads (Scale Degrees: 145)
0 5 7 = sus4	\|	2 4 7 9 = 2: 0 2 5 7 = 4: 0 3 5 10 = 7: 0 2 7 9 = 9: 0 5 7 10
0 6 7 = sus#4, Viennese trichord	\|	2 4 = 2: 0 2 = 4: 0 10

7sus chords no 5th (Scale Degrees: 147)
0 5 10 = 3 in 4ths	\|	2 4 9 11 = 2: 0 2 7 9 = 4: 0 5 7 10 = 9: 0 2 5 7 = 11: 0 3 5 10

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	0 2 4 = 0: 0 2 4 = 2: 0 2 10 = 4: 0 8 10
0 7 9	\|	0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7

7th chords no 3rd (Scale Degrees: 157)
0 7 10 = m power chord	\|	0 2 4 9 = 0: 0 2 4 9 = 2: 0 2 7 10 = 4: 0 5 8 10 = 9: 0 3 5 7
0 7 11 = M power chord	\|	0 9 = 0: 0 9 = 9: 0 3

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

chromatic tetrachord (Scale Degrees: 1223)
0 1 2 3 = chromatic tetrachord	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11
0 1 2 4	\|	7 8 10 = 7: 0 1 3 = 8: 0 2 11 = 10: 0 9 10
0 1 3 4 = 1st 4 aux dim.	\|	7 8 = 7: 0 1 = 8: 0 11
0 2 3 4	\|	7 8 = 7: 0 1 = 8: 0 11

Scale Degrees: 1225
0 1 2 7	\|	7 9 = 7: 0 2 = 9: 0 10

1st 3 notes of diamorphic scale (Scale Degrees: 1234)
0 1 3 5 = Greek diatonic tetrachord	\|	7 9 11 = 7: 0 2 4 = 9: 0 2 10 = 11: 0 8 10
0 1 4 5 = Greek chromatic tetrachord	\|	7 = 7: 0
0 2 3 5 = min. tetrachord	\|	7 9 = 7: 0 2 = 9: 0 10
0 2 4 5 = maj. tetrachord	\|	7 = 7: 0
0 2 4 6 = whole tone tetrachord	\|	8 10 = 8: 0 2 = 10: 0 10
0 3 4 5	\|	4 7 = 4: 0 3 = 7: 0 9

Add 9 Chords (Scale Degrees: 1235)
0 1 3 6 = dim. add b9	\|	8 = 8: 0
0 1 3 7 = m add b9, all-int	\|	7 9 = 7: 0 2 = 9: 0 10
0 1 4 7 = M add b9	\|	7 = 7: 0
0 2 3 6 = dim. add 9	\|	8 = 8: 0
0 2 3 7 = m add9	\|	7 9 = 7: 0 2 = 9: 0 10
0 2 4 7 = add9 , Mu chord	\|	0 7 = 0: 0 7 = 7: 0 5
0 3 4 6 = Mb5 add #9	\|	4 8 = 4: 0 4 = 8: 0 8
0 3 4 7 = add #9, maj-min chord	\|	4 7 = 4: 0 3 = 7: 0 9
0 3 4 8 = aug. add #9	\|	4 8 = 4: 0 4 = 8: 0 8

6/9 chord no 5th (Scale Degrees: 1236)
0 1 4 9	\|	7 10 = 7: 0 3 = 10: 0 9
0 2 4 9	\|	0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9
0 3 4 9	\|	7 = 7: 0

9th chords no 5th (Scale Degrees: 1237)
0 1 3 10 = M7b9 no 5th	\|	9 11 = 9: 0 2 = 11: 0 10
0 1 3 11 = Mm7b9 no 5th	\|	8 9 11 = 8: 0 1 3 = 9: 0 2 11 = 11: 0 9 10
0 1 4 10 = 7b9 no 5th	\|	10 = 10: 0
0 1 4 11 = M7b9 no 5th	\|	8 10 = 8: 0 2 = 10: 0 10
0 2 3 10 = m9 no 5th	\|	9 = 9: 0
0 2 3 11 = mM9 no 5th	\|	8 9 = 8: 0 1 = 9: 0 11
0 2 4 10 = 9 no 5th	\|	0 10 = 0: 0 10 = 10: 0 2
0 2 4 11 = M9 no 5th	\|	0 8 10 = 0: 0 8 10 = 8: 0 2 4 = 10: 0 2 10
0 3 4 10 = 7#9 no 5th, Hendrix, all-int	\|	4 = 4: 0
0 3 4 11 = M7#9 no 5th	\|	8 = 8: 0

11th chords no 3rd no 7th (Scale Degrees: 1245)
0 1 5 7	\|	7 9 = 7: 0 2 = 9: 0 10
0 2 5 7	\|	2 7 9 = 2: 0 5 7 = 7: 0 2 7 = 9: 0 5 10
0 2 6 7	\|	2 = 2: 0

6/9 chords no 3rd (Scale Degrees: 1256)
0 1 7 9 = all-int	\|	7 = 7: 0
0 2 7 8	\|	0 2 = 0: 0 2 = 2: 0 10
0 2 7 9 = 4 in 5ths	\|	0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7

9th chords no 3rd (Scale Degrees: 1257)
0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd	\|	9 = 9: 0
0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd	\|	9 = 9: 0
0 2 7 10 = 9 no 3rd, m9 no 3rd	\|	0 2 9 = 0: 0 2 9 = 2: 0 7 10 = 9: 0 3 5
0 2 7 11 = M9 no 3rd, mM9 no 3rd	\|	0 9 = 0: 0 9 = 9: 0 3

13th chords no 3rd no 5th no 11th (Scale Degrees: 1267)
0 1 10 11	\|	9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11
0 2 9 10	\|	0 2 10 = 0: 0 2 10 = 2: 0 8 10 = 10: 0 2 4
0 2 9 11	\|	0 10 = 0: 0 10 = 10: 0 2
0 2 10 11	\|	0 9 10 = 0: 0 9 10 = 9: 0 1 3 = 10: 0 2 11

Add 11 Chords (Scale Degrees: 1345)
0 3 5 6 = blues tetrachord	\|	4 = 4: 0
0 3 5 7 = m add 11	\|	4 7 9 = 4: 0 3 5 = 7: 0 2 9 = 9: 0 7 10
0 3 6 7 = m add #11	\|	4 = 4: 0
0 4 5 6 = Mb5 add 11	\|	4 = 4: 0
0 4 5 7 = M add 11	\|	4 7 = 4: 0 3 = 7: 0 9
0 4 6 7 = Madd#11, Jetsons, all-int	\|	4 = 4: 0

11th chords no 5th no 9th (Scale Degrees: 1347)
0 3 5 10 = m11 no 5th 7th 9th, 4 in 4ths	\|	4 9 11 = 4: 0 5 7 = 9: 0 2 7 = 11: 0 5 10
0 3 5 11 = all-int	\|	9 11 = 9: 0 2 = 11: 0 10
0 4 5 10	\|	4 = 4: 0

6th Chords (Scale Degrees: 1356)
0 3 7 8 = mb6	\|	4 = 4: 0
0 3 7 9 = m6 , Tristan chord	\|	7 = 7: 0
0 4 7 8 = Mb6	\|	0 4 = 0: 0 4 = 4: 0 8
0 4 7 9 = 6	\|	0 7 = 0: 0 7 = 7: 0 5

7th Chords (Scale Degrees: 1357)
0 3 6 10 = m7b5, Tristan chord, half-dim. 7th	\|	4 = 4: 0
0 3 6 11 = mM7b5, dim. maj. 7th chord	\|	8 = 8: 0
0 3 7 10 = m7	\|	4 9 = 4: 0 5 = 9: 0 7
0 3 7 11 = mM7	\|	9 = 9: 0
0 4 6 10 = 7b5, French aug. 6th chord	\|	4 10 = 4: 0 6 = 10: 0 6
0 4 6 11 = M7b5	\|	8 10 = 8: 0 2 = 10: 0 10
0 4 7 10 = 7, German aug. 6th chord	\|	0 4 = 0: 0 4 = 4: 0 8
0 4 7 11 = M7	\|	0 = 0: 0
0 4 8 10 = 7#5	\|	0 4 = 0: 0 4 = 4: 0 8
0 4 8 11 = M7#5	\|	0 8 = 0: 0 8 = 8: 0 4

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 10 = m7/6 no 5th	\|	11 = 11: 0
0 3 9 11 = mM7/6 no 5th	\|	11 = 11: 0
0 3 10 11 = mM7#6 no 5th	\|	9 11 = 9: 0 2 = 11: 0 10
0 4 9 10 = 7/6 no 5th, all-int	\|	0 10 = 0: 0 10 = 10: 0 2
0 4 9 11 = M7/6 no 5th	\|	0 10 = 0: 0 10 = 10: 0 2
0 4 10 11 = M7/#6 no 5th	\|	0 10 = 0: 0 10 = 10: 0 2

Scale Degrees: 1445
0 5 6 7 = dream chord	\|	2 4 = 2: 0 2 = 4: 0 10

Scale Degrees: 1456
0 5 7 8	\|	2 4 = 2: 0 2 = 4: 0 10
0 5 7 9	\|	2 7 = 2: 0 5 = 7: 0 7
0 6 7 8	\|	2 4 = 2: 0 2 = 4: 0 10
0 6 7 9	\|	2 = 2: 0

Sus 4 7th Chords (Scale Degrees: 1457)
0 5 7 10 = 7sus4	\|	2 4 9 = 2: 0 2 7 = 4: 0 5 10 = 9: 0 5 7
0 5 7 11 = M7sus4	\|	9 = 9: 0
0 6 7 10 = 7sus#4, all-int	\|	2 4 = 2: 0 2 = 4: 0 10

Scale Degrees: 1467
0 5 10 11	\|	9 11 = 9: 0 2 = 11: 0 10

Scale Degrees: 1566
0 7 8 9	\|	0 2 = 0: 0 2 = 2: 0 10

Scale Degrees: 1567
0 7 8 10	\|	0 2 4 = 0: 0 2 4 = 2: 0 2 10 = 4: 0 8 10
0 7 8 11	\|	0 = 0: 0
0 7 9 10	\|	0 2 = 0: 0 2 = 2: 0 10
0 7 9 11	\|	0 = 0: 0
0 7 10 11	\|	0 9 = 0: 0 9 = 9: 0 3

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

chromatic pentachord (Scale Degrees: 12233)
0 1 2 3 4 = 1st 5 chromatics	\|	7 8 = 7: 0 1 = 8: 0 11

Scale Degrees: 12234
0 1 2 3 5	\|	7 9 = 7: 0 2 = 9: 0 10
0 1 2 3 6	\|	8 = 8: 0
0 1 2 4 5	\|	7 = 7: 0
0 1 2 4 6	\|	8 10 = 8: 0 2 = 10: 0 10
0 1 3 4 5	\|	7 = 7: 0
0 1 3 4 6 = auxdim. pentachord	\|	8 = 8: 0
0 2 3 4 6	\|	8 = 8: 0

Scale Degrees: 12235
0 1 2 3 7	\|	7 9 = 7: 0 2 = 9: 0 10
0 1 2 4 7	\|	7 = 7: 0
0 1 2 4 8	\|	8 = 8: 0
0 1 3 4 7	\|	7 = 7: 0
0 1 3 4 8 = Farben chord	\|	8 = 8: 0
0 2 3 4 7	\|	7 = 7: 0
0 2 3 4 8	\|	8 = 8: 0

Scale Degrees: 12236
0 1 2 4 9	\|	7 10 = 7: 0 3 = 10: 0 9
0 1 3 4 9	\|	7 = 7: 0
0 2 3 4 9	\|	7 = 7: 0

Scale Degrees: 12237
0 1 2 3 10	\|	9 = 9: 0
0 1 2 3 11	\|	8 9 = 8: 0 1 = 9: 0 11
0 1 2 4 10	\|	10 = 10: 0
0 1 2 4 11	\|	8 10 = 8: 0 2 = 10: 0 10
0 1 3 4 11	\|	8 = 8: 0
0 2 3 4 11	\|	8 = 8: 0

Scale Degrees: 12245
0 1 2 5 7	\|	7 9 = 7: 0 2 = 9: 0 10

Scale Degrees: 12256
0 1 2 7 9	\|	7 = 7: 0

Scale Degrees: 12257
0 1 2 7 10	\|	9 = 9: 0
0 1 2 7 11	\|	9 = 9: 0

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

1st 5 notes of diamorphic scale (Scale Degrees: 12345)
0 1 3 5 7 = phrygilocrian pentachord	\|	7 9 = 7: 0 2 = 9: 0 10
0 1 4 5 7 = phrygian maj. pentachord	\|	7 = 7: 0
0 2 3 5 7 = aeodorian pentachord	\|	7 9 = 7: 0 2 = 9: 0 10
0 2 4 5 7 = maj. pentachord	\|	7 = 7: 0
0 3 4 5 6	\|	4 = 4: 0
0 3 4 5 7	\|	4 7 = 4: 0 3 = 7: 0 9
0 3 4 6 7	\|	4 = 4: 0

11th chords no 5th (Scale Degrees: 12347)
0 3 4 5 10	\|	4 = 4: 0

6/9 chords (Scale Degrees: 12356)
0 1 3 7 9	\|	7 = 7: 0
0 1 4 7 9 = Elektra chord	\|	7 = 7: 0
0 2 3 7 9 = m6/9, akebono, Thai1	\|	7 = 7: 0
0 2 4 6 8 = whole tone pentachord	\|	8 = 8: 0
0 2 4 7 8	\|	0 = 0: 0
0 2 4 7 9 = maj. pent., 5 in 5ths, ryo, tizita maj.	\|	0 7 = 0: 0 7 = 7: 0 5
0 3 4 7 8	\|	4 = 4: 0
0 3 4 7 9 = slendro	\|	7 = 7: 0

9th chords (Scale Degrees: 12357)
0 1 3 6 11 = mM7b5b9	\|	8 = 8: 0
0 1 3 7 10 = m7b9	\|	9 = 9: 0
0 1 3 7 11 = mM7b9	\|	9 = 9: 0
0 1 4 6 10 = 7b5b9	\|	10 = 10: 0
0 1 4 8 11 = M7#5b9	\|	8 = 8: 0
0 2 3 6 11 = mM9b5	\|	8 = 8: 0
0 2 3 7 10 = m9	\|	9 = 9: 0
0 2 3 7 11 = mM9, Farben chord	\|	9 = 9: 0
0 2 4 6 10 = 9b5, alt. chord	\|	10 = 10: 0
0 2 4 6 11 = M9b5	\|	8 10 = 8: 0 2 = 10: 0 10
0 2 4 7 10 = 9	\|	0 = 0: 0
0 2 4 7 11 = M9	\|	0 = 0: 0
0 2 4 8 10 = 9#5, alt. chord	\|	0 = 0: 0
0 2 4 8 11 = M9#5	\|	0 8 = 0: 0 8 = 8: 0 4
0 3 4 6 10 = 7b5#9	\|	4 = 4: 0
0 3 4 6 11 = M7b5#9	\|	8 = 8: 0
0 3 4 7 10 = 7#9	\|	4 = 4: 0
0 3 4 8 10 = 7#5#9	\|	4 = 4: 0
0 3 4 8 11 = M7#5#9	\|	8 = 8: 0

13th chords no 5th no 11th (Scale Degrees: 12367)
0 1 3 9 10 = m13b9 no 5th no 11th	\|	11 = 11: 0
0 1 3 9 11 = mM13b9 no 5th no 11th	\|	11 = 11: 0
0 1 3 10 11 = mM#13b9 no 5th no 11th	\|	9 11 = 9: 0 2 = 11: 0 10
0 1 4 9 10 = 13b9 no 5th no 11th	\|	10 = 10: 0
0 1 4 9 11 = M13b9 no 5th no 11th	\|	10 = 10: 0
0 1 4 10 11 = 7#13b9 no 5th no 11th	\|	10 = 10: 0
0 2 3 10 11 = m#13 no 5th no 11th	\|	9 = 9: 0
0 2 4 9 10 = 13 no 5th no 11th	\|	0 10 = 0: 0 10 = 10: 0 2
0 2 4 9 11 = M13 no 5th no 11th	\|	0 10 = 0: 0 10 = 10: 0 2
0 2 4 10 11 = M#13 no 5th no 11th	\|	0 10 = 0: 0 10 = 10: 0 2

Scale Degrees: 12456
0 1 5 7 9	\|	7 = 7: 0
0 2 5 7 8 = kokin joshi	\|	2 = 2: 0
0 2 5 7 9 = ritsu, yo desc., Thai2, ambassel maj.	\|