Chord Type: 0 1 7 9 10 11

0 1 7 9 10 11

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Chord Type: 0 1 7 9 10 11

General Statistics Cardinality: 6 Jordan Number: 6-6 Forte Number: 6-2 Forte Prime Form: [0,1,2,3,4,6] Zeitler Scale Name: Ian Ring's Scale Page 3715 Root Reference: 0 1 7 9 10 11 Tone Stacking: 0 1 6 2 1 1 Interval Stacking: 1 6 2 1 1 1 Binary: 1 1 0 0 0 0 0 1 0 1 1 1 Decimal Value: 3715 Interval Vector: 4 4 3 2 1 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.933 Harmonic Adjacency (0-1): 0.333 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: Scale Degrees: 125667 0 1 7 8 9 10 0 1 7 8 9 11 0 1 7 8 10 11 ->0 1 7 9 10 11 0 2 7 8 9 10 0 2 7 8 9 11 0 2 7 8 10 11 0 2 7 9 10 11 All Transpositions of Chord Type: +0= 0 1 7 9 10 11 | +1= 0 1 2 8 10 11 | +2= 0 1 2 3 9 11 | +3= 0 1 2 3 4 10 | +4= 1 2 3 4 5 11 | +5= 0 2 3 4 5 6 | +6= 1 3 4 5 6 7 | +7= 2 4 5 6 7 8 | +8= 3 5 6 7 8 9 | +9= 4 6 7 8 9 10 | +10= 5 7 8 9 10 11 | +11= 0 6 8 9 10 11 | Modes of Chord Type: (mode 0) 0: 0 1 7 9 10 11 | (mode 1) 1: 0 6 8 9 10 11 | (mode 2) 7: 0 2 3 4 5 6 | (mode 3) 9: 0 1 2 3 4 10 | (mode 4) 10: 0 1 2 3 9 11 | (mode 5) 11: 0 1 2 8 10 11 | Modes of Chord Type Sorted by Rootedness: 1.475(mode 0)0:0 1 7 9 10 11 | 1.350(mode 3)9:0 1 2 3 4 10 | .958(mode 4)10:0 1 2 3 9 11 | .608(mode 2)7:0 2 3 4 5 6 | .600(mode 5)11:0 1 2 8 10 11 | .375(mode 1)1:0 6 8 9 10 11 | Inversion at 0: 0 1 2 3 5 11 (mode 0) 0: 0 1 2 3 5 11 | (mode 1) 1: 0 1 2 4 10 11 | (mode 2) 2: 0 1 3 9 10 11 | (mode 3) 3: 0 2 8 9 10 11 | (mode 4) 5: 0 6 7 8 9 10 | (mode 5) 11: 0 1 2 3 4 6 | Times 7: 0 1 3 5 7 10 (mode 0) 0: 0 1 3 5 7 10 | m11b9 (mode 1) 1: 0 2 4 6 9 11 | (mode 2) 3: 0 2 4 7 9 10 | 13 no 11th (mode 3) 5: 0 2 5 7 8 10 | (mode 4) 7: 0 3 5 6 8 10 | (mode 5) 10: 0 2 3 5 7 9 | Times 5: 0 2 5 7 9 11 (mode 0) 0: 0 2 5 7 9 11 | (mode 1) 2: 0 3 5 7 9 10 | m13 no 9th (mode 2) 5: 0 2 4 6 7 9 | (mode 3) 7: 0 2 4 5 7 10 | 11 (mode 4) 9: 0 2 3 5 8 10 | (mode 5) 11: 0 1 3 6 8 10 | Modal System: 0 1 2 3 4 10 from root(s) 9 | "" Modes of Modal System: (mode 0) 0: 0 1 2 3 4 10 | (mode 1) 1: 0 1 2 3 9 11 | (mode 2) 2: 0 1 2 8 10 11 | (mode 3) 3: 0 1 7 9 10 11 | (mode 4) 4: 0 6 8 9 10 11 | (mode 5) 10: 0 2 3 4 5 6 | Complement: 2 3 4 5 6 8 (mode 0) 2: 0 1 2 3 4 6 | (mode 1) 3: 0 1 2 3 5 11 | (mode 2) 4: 0 1 2 4 10 11 | (mode 3) 5: 0 1 3 9 10 11 | (mode 4) 6: 0 2 8 9 10 11 | (mode 5) 8: 0 6 7 8 9 10 | All but the root (subchroma complement of 0): 1 7 9 10 11 (mode 0) 1: 0 6 8 9 10 | (mode 1) 7: 0 2 3 4 6 | (mode 2) 9: 0 1 2 4 10 | (mode 3) 10: 0 1 3 9 11 | mM13b9 no 5th, 11th (mode 4) 11: 0 2 8 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: 1 7 9 (mode 0) 1: 0 6 8 | (mode 1) 7: 0 2 6 | (mode 2) 9: 0 4 10 | 7 no 5th Dechromaticised but Keep 0 0 1 7 9 (mode 0) 0: 0 1 7 9 | all-interval tetrachord (mode 1) 1: 0 6 8 11 | (mode 2) 7: 0 2 5 6 | (mode 3) 9: 0 3 4 10 | 7#9 no 5th = Hendrix tetrachord = all-interval tetrachord Dechromaticised but Keep 0 7 0 1 7 9 (mode 0) 0: 0 1 7 9 | all-interval tetrachord (mode 1) 1: 0 6 8 11 | (mode 2) 7: 0 2 5 6 | (mode 3) 9: 0 3 4 10 | 7#9 no 5th = Hendrix tetrachord = all-interval tetrachord Dechromaticised but Keep 0 3 4 7 0 1 7 9 (mode 0) 0: 0 1 7 9 | all-interval tetrachord (mode 1) 1: 0 6 8 11 | (mode 2) 7: 0 2 5 6 | (mode 3) 9: 0 3 4 10 | 7#9 no 5th = Hendrix tetrachord = all-interval tetrachord 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 4 7 9 10 11 | (mode 1) 1: 0 3 6 8 9 10 11 | (mode 2) 4: 0 3 5 6 7 8 9 | (mode 3) 7: 0 2 3 4 5 6 9 | (mode 4) 9: 0 1 2 3 4 7 10 | (mode 5) 10: 0 1 2 3 6 9 11 | (mode 6) 11: 0 1 2 5 8 10 11 | (mode 0) 0: 0 1 6 7 9 10 11 | (mode 1) 1: 0 5 6 8 9 10 11 | (mode 2) 6: 0 1 3 4 5 6 7 | (mode 3) 7: 0 2 3 4 5 6 11 | (mode 4) 9: 0 1 2 3 4 9 10 | (mode 5) 10: 0 1 2 3 8 9 11 | (mode 6) 11: 0 1 2 7 8 10 11 | (mode 0) 0: 0 1 3 7 8 9 10 11 | (mode 1) 1: 0 2 6 7 8 9 10 11 | (mode 2) 3: 0 4 5 6 7 8 9 10 | (mode 3) 7: 0 1 2 3 4 5 6 8 | (mode 4) 8: 0 1 2 3 4 5 7 11 | (mode 5) 9: 0 1 2 3 4 6 10 11 | (mode 6) 10: 0 1 2 3 5 9 10 11 | (mode 7) 11: 0 1 2 4 8 9 10 11 | (mode 0) 0: 0 1 3 4 7 8 9 10 11 | (mode 1) 1: 0 2 3 6 7 8 9 10 11 | (mode 2) 3: 0 1 4 5 6 7 8 9 10 | (mode 3) 4: 0 3 4 5 6 7 8 9 11 | (mode 4) 7: 0 1 2 3 4 5 6 8 9 | (mode 5) 8: 0 1 2 3 4 5 7 8 11 | (mode 6) 9: 0 1 2 3 4 6 7 10 11 | (mode 7) 10: 0 1 2 3 5 6 9 10 11 | (mode 8) 11: 0 1 2 4 5 8 9 10 11 | alt-chromaticized keep 0: (mode 0) 0: 0 1 4 7 9 10 11 | (mode 1) 1: 0 3 6 8 9 10 11 | (mode 2) 4: 0 3 5 6 7 8 9 | (mode 3) 7: 0 2 3 4 5 6 9 | (mode 4) 9: 0 1 2 3 4 7 10 | (mode 5) 10: 0 1 2 3 6 9 11 | (mode 6) 11: 0 1 2 5 8 10 11 | (mode 0) 0: 0 1 6 7 9 10 11 | (mode 1) 1: 0 5 6 8 9 10 11 | (mode 2) 6: 0 1 3 4 5 6 7 | (mode 3) 7: 0 2 3 4 5 6 11 | (mode 4) 9: 0 1 2 3 4 9 10 | (mode 5) 10: 0 1 2 3 8 9 11 | (mode 6) 11: 0 1 2 7 8 10 11 | (mode 0) 0: 0 1 2 7 9 10 11 | (mode 1) 1: 0 1 6 8 9 10 11 | (mode 2) 2: 0 5 7 8 9 10 11 | (mode 3) 7: 0 2 3 4 5 6 7 | (mode 4) 9: 0 1 2 3 4 5 10 | (mode 5) 10: 0 1 2 3 4 9 11 | (mode 6) 11: 0 1 2 3 8 10 11 | (mode 0) 0: 0 1 5 7 9 10 11 | (mode 1) 1: 0 4 6 8 9 10 11 | (mode 2) 5: 0 2 4 5 6 7 8 | (mode 3) 7: 0 2 3 4 5 6 10 | (mode 4) 9: 0 1 2 3 4 8 10 | (mode 5) 10: 0 1 2 3 7 9 11 | (mode 6) 11: 0 1 2 6 8 10 11 | (mode 0) 0: 0 1 2 6 7 9 10 11 | (mode 1) 1: 0 1 5 6 8 9 10 11 | (mode 2) 2: 0 4 5 7 8 9 10 11 | (mode 3) 6: 0 1 3 4 5 6 7 8 | (mode 4) 7: 0 2 3 4 5 6 7 11 | (mode 5) 9: 0 1 2 3 4 5 9 10 | (mode 6) 10: 0 1 2 3 4 8 9 11 | (mode 7) 11: 0 1 2 3 7 8 10 11 | (mode 0) 0: 0 1 4 6 7 9 10 11 | (mode 1) 1: 0 3 5 6 8 9 10 11 | (mode 2) 4: 0 2 3 5 6 7 8 9 | (mode 3) 6: 0 1 3 4 5 6 7 10 | (mode 4) 7: 0 2 3 4 5 6 9 11 | (mode 5) 9: 0 1 2 3 4 7 9 10 | (mode 6) 10: 0 1 2 3 6 8 9 11 | (mode 7) 11: 0 1 2 5 7 8 10 11 | (mode 0) 0: 0 1 4 5 7 9 10 11 | (mode 1) 1: 0 3 4 6 8 9 10 11 | (mode 2) 4: 0 1 3 5 6 7 8 9 | (mode 3) 5: 0 2 4 5 6 7 8 11 | (mode 4) 7: 0 2 3 4 5 6 9 10 | (mode 5) 9: 0 1 2 3 4 7 8 10 | (mode 6) 10: 0 1 2 3 6 7 9 11 | (mode 7) 11: 0 1 2 5 6 8 10 11 | (mode 0) 0: 0 1 3 7 8 9 10 11 | (mode 1) 1: 0 2 6 7 8 9 10 11 | (mode 2) 3: 0 4 5 6 7 8 9 10 | (mode 3) 7: 0 1 2 3 4 5 6 8 | (mode 4) 8: 0 1 2 3 4 5 7 11 | (mode 5) 9: 0 1 2 3 4 6 10 11 | (mode 6) 10: 0 1 2 3 5 9 10 11 | (mode 7) 11: 0 1 2 4 8 9 10 11 | (mode 0) 0: 0 1 5 6 7 9 10 11 | (mode 1) 1: 0 4 5 6 8 9 10 11 | (mode 2) 5: 0 1 2 4 5 6 7 8 | (mode 3) 6: 0 1 3 4 5 6 7 11 | (mode 4) 7: 0 2 3 4 5 6 10 11 | (mode 5) 9: 0 1 2 3 4 8 9 10 | (mode 6) 10: 0 1 2 3 7 8 9 11 | (mode 7) 11: 0 1 2 6 7 8 10 11 | (mode 0) 0: 0 1 2 3 7 8 9 10 11 | (mode 1) 1: 0 1 2 6 7 8 9 10 11 | (mode 2) 2: 0 1 5 6 7 8 9 10 11 | (mode 3) 3: 0 4 5 6 7 8 9 10 11 | (mode 4) 7: 0 1 2 3 4 5 6 7 8 | 1st 9 notes of chromatic scale (mode 5) 8: 0 1 2 3 4 5 6 7 11 | (mode 6) 9: 0 1 2 3 4 5 6 10 11 | (mode 7) 10: 0 1 2 3 4 5 9 10 11 | (mode 8) 11: 0 1 2 3 4 8 9 10 11 | (mode 0) 0: 0 1 3 4 7 8 9 10 11 | (mode 1) 1: 0 2 3 6 7 8 9 10 11 | (mode 2) 3: 0 1 4 5 6 7 8 9 10 | (mode 3) 4: 0 3 4 5 6 7 8 9 11 | (mode 4) 7: 0 1 2 3 4 5 6 8 9 | (mode 5) 8: 0 1 2 3 4 5 7 8 11 | (mode 6) 9: 0 1 2 3 4 6 7 10 11 | (mode 7) 10: 0 1 2 3 5 6 9 10 11 | (mode 8) 11: 0 1 2 4 5 8 9 10 11 | alt-chromaticized keep 0 7: (mode 0) 0: 0 1 6 7 9 10 11 | (mode 1) 1: 0 5 6 8 9 10 11 | (mode 2) 6: 0 1 3 4 5 6 7 | (mode 3) 7: 0 2 3 4 5 6 11 | (mode 4) 9: 0 1 2 3 4 9 10 | (mode 5) 10: 0 1 2 3 8 9 11 | (mode 6) 11: 0 1 2 7 8 10 11 | (mode 0) 0: 0 1 4 7 9 10 11 | (mode 1) 1: 0 3 6 8 9 10 11 | (mode 2) 4: 0 3 5 6 7 8 9 | (mode 3) 7: 0 2 3 4 5 6 9 | (mode 4) 9: 0 1 2 3 4 7 10 | (mode 5) 10: 0 1 2 3 6 9 11 | (mode 6) 11: 0 1 2 5 8 10 11 | (mode 0) 0: 0 1 2 7 9 10 11 | (mode 1) 1: 0 1 6 8 9 10 11 | (mode 2) 2: 0 5 7 8 9 10 11 | (mode 3) 7: 0 2 3 4 5 6 7 | (mode 4) 9: 0 1 2 3 4 5 10 | (mode 5) 10: 0 1 2 3 4 9 11 | (mode 6) 11: 0 1 2 3 8 10 11 | (mode 0) 0: 0 1 5 7 9 10 11 | (mode 1) 1: 0 4 6 8 9 10 11 | (mode 2) 5: 0 2 4 5 6 7 8 | (mode 3) 7: 0 2 3 4 5 6 10 | (mode 4) 9: 0 1 2 3 4 8 10 | (mode 5) 10: 0 1 2 3 7 9 11 | (mode 6) 11: 0 1 2 6 8 10 11 | (mode 0) 0: 0 1 2 5 7 9 10 11 | (mode 1) 1: 0 1 4 6 8 9 10 11 | (mode 2) 2: 0 3 5 7 8 9 10 11 | (mode 3) 5: 0 2 4 5 6 7 8 9 | (mode 4) 7: 0 2 3 4 5 6 7 10 | (mode 5) 9: 0 1 2 3 4 5 8 10 | (mode 6) 10: 0 1 2 3 4 7 9 11 | (mode 7) 11: 0 1 2 3 6 8 10 11 | (mode 0) 0: 0 1 2 6 7 9 10 11 | (mode 1) 1: 0 1 5 6 8 9 10 11 | (mode 2) 2: 0 4 5 7 8 9 10 11 | (mode 3) 6: 0 1 3 4 5 6 7 8 | (mode 4) 7: 0 2 3 4 5 6 7 11 | (mode 5) 9: 0 1 2 3 4 5 9 10 | (mode 6) 10: 0 1 2 3 4 8 9 11 | (mode 7) 11: 0 1 2 3 7 8 10 11 | (mode 0) 0: 0 1 4 5 7 9 10 11 | (mode 1) 1: 0 3 4 6 8 9 10 11 | (mode 2) 4: 0 1 3 5 6 7 8 9 | (mode 3) 5: 0 2 4 5 6 7 8 11 | (mode 4) 7: 0 2 3 4 5 6 9 10 | (mode 5) 9: 0 1 2 3 4 7 8 10 | (mode 6) 10: 0 1 2 3 6 7 9 11 | (mode 7) 11: 0 1 2 5 6 8 10 11 | (mode 0) 0: 0 1 3 7 8 9 10 11 | (mode 1) 1: 0 2 6 7 8 9 10 11 | (mode 2) 3: 0 4 5 6 7 8 9 10 | (mode 3) 7: 0 1 2 3 4 5 6 8 | (mode 4) 8: 0 1 2 3 4 5 7 11 | (mode 5) 9: 0 1 2 3 4 6 10 11 | (mode 6) 10: 0 1 2 3 5 9 10 11 | (mode 7) 11: 0 1 2 4 8 9 10 11 | (mode 0) 0: 0 1 5 6 7 9 10 11 | (mode 1) 1: 0 4 5 6 8 9 10 11 | (mode 2) 5: 0 1 2 4 5 6 7 8 | (mode 3) 6: 0 1 3 4 5 6 7 11 | (mode 4) 7: 0 2 3 4 5 6 10 11 | (mode 5) 9: 0 1 2 3 4 8 9 10 | (mode 6) 10: 0 1 2 3 7 8 9 11 | (mode 7) 11: 0 1 2 6 7 8 10 11 | (mode 0) 0: 0 1 3 4 7 8 9 10 11 | (mode 1) 1: 0 2 3 6 7 8 9 10 11 | (mode 2) 3: 0 1 4 5 6 7 8 9 10 | (mode 3) 4: 0 3 4 5 6 7 8 9 11 | (mode 4) 7: 0 1 2 3 4 5 6 8 9 | (mode 5) 8: 0 1 2 3 4 5 7 8 11 | (mode 6) 9: 0 1 2 3 4 6 7 10 11 | (mode 7) 10: 0 1 2 3 5 6 9 10 11 | (mode 8) 11: 0 1 2 4 5 8 9 10 11 | (mode 0) 0: 0 1 2 3 7 8 9 10 11 | (mode 1) 1: 0 1 2 6 7 8 9 10 11 | (mode 2) 2: 0 1 5 6 7 8 9 10 11 | (mode 3) 3: 0 4 5 6 7 8 9 10 11 | (mode 4) 7: 0 1 2 3 4 5 6 7 8 | 1st 9 notes of chromatic scale (mode 5) 8: 0 1 2 3 4 5 6 7 11 | (mode 6) 9: 0 1 2 3 4 5 6 10 11 | (mode 7) 10: 0 1 2 3 4 5 9 10 11 | (mode 8) 11: 0 1 2 3 4 8 9 10 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 5 7 9 10 11 | (mode 1) 1: 0 4 6 8 9 10 11 | (mode 2) 5: 0 2 4 5 6 7 8 | (mode 3) 7: 0 2 3 4 5 6 10 | (mode 4) 9: 0 1 2 3 4 8 10 | (mode 5) 10: 0 1 2 3 7 9 11 | (mode 6) 11: 0 1 2 6 8 10 11 | (mode 0) 0: 0 1 6 7 9 10 11 | (mode 1) 1: 0 5 6 8 9 10 11 | (mode 2) 6: 0 1 3 4 5 6 7 | (mode 3) 7: 0 2 3 4 5 6 11 | (mode 4) 9: 0 1 2 3 4 9 10 | (mode 5) 10: 0 1 2 3 8 9 11 | (mode 6) 11: 0 1 2 7 8 10 11 | (mode 0) 0: 0 1 4 7 9 10 11 | (mode 1) 1: 0 3 6 8 9 10 11 | (mode 2) 4: 0 3 5 6 7 8 9 | (mode 3) 7: 0 2 3 4 5 6 9 | (mode 4) 9: 0 1 2 3 4 7 10 | (mode 5) 10: 0 1 2 3 6 9 11 | (mode 6) 11: 0 1 2 5 8 10 11 | (mode 0) 0: 0 1 2 7 9 10 11 | (mode 1) 1: 0 1 6 8 9 10 11 | (mode 2) 2: 0 5 7 8 9 10 11 | (mode 3) 7: 0 2 3 4 5 6 7 | (mode 4) 9: 0 1 2 3 4 5 10 | (mode 5) 10: 0 1 2 3 4 9 11 | (mode 6) 11: 0 1 2 3 8 10 11 | (mode 0) 0: 0 1 2 5 7 9 10 11 | (mode 1) 1: 0 1 4 6 8 9 10 11 | (mode 2) 2: 0 3 5 7 8 9 10 11 | (mode 3) 5: 0 2 4 5 6 7 8 9 | (mode 4) 7: 0 2 3 4 5 6 7 10 | (mode 5) 9: 0 1 2 3 4 5 8 10 | (mode 6) 10: 0 1 2 3 4 7 9 11 | (mode 7) 11: 0 1 2 3 6 8 10 11 | (mode 0) 0: 0 1 2 6 7 9 10 11 | (mode 1) 1: 0 1 5 6 8 9 10 11 | (mode 2) 2: 0 4 5 7 8 9 10 11 | (mode 3) 6: 0 1 3 4 5 6 7 8 | (mode 4) 7: 0 2 3 4 5 6 7 11 | (mode 5) 9: 0 1 2 3 4 5 9 10 | (mode 6) 10: 0 1 2 3 4 8 9 11 | (mode 7) 11: 0 1 2 3 7 8 10 11 | (mode 0) 0: 0 1 5 6 7 9 10 11 | (mode 1) 1: 0 4 5 6 8 9 10 11 | (mode 2) 5: 0 1 2 4 5 6 7 8 | (mode 3) 6: 0 1 3 4 5 6 7 11 | (mode 4) 7: 0 2 3 4 5 6 10 11 | (mode 5) 9: 0 1 2 3 4 8 9 10 | (mode 6) 10: 0 1 2 3 7 8 9 11 | (mode 7) 11: 0 1 2 6 7 8 10 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 7 9 10 11 = 0: 0 1 7 9 10 11 = 1: 0 6 8 9 10 11 = 7: 0 2 3 4 5 6 = 9: 0 1 2 3 4 10 = 10: 0 1 2 3 9 11 = 11: 0 1 2 8 10 11 1 9 9 0 1 2 3 4 10 = 0: 0 1 2 3 4 10 = 1: 0 1 2 3 9 11 = 2: 0 1 2 8 10 11 = 3: 0 1 7 9 10 11 = 4: 0 6 8 9 10 11 = 10: 0 2 3 4 5 6 1 10 10 0 1 2 3 9 11 = 0: 0 1 2 3 9 11 = 1: 0 1 2 8 10 11 = 2: 0 1 7 9 10 11 = 3: 0 6 8 9 10 11 = 9: 0 2 3 4 5 6 = 11: 0 1 2 3 4 10 Bright Layer Composition order pcset 1 0 1 7 9 10 11 = 0: 0 1 7 9 10 11 = 1: 0 6 8 9 10 11 = 7: 0 2 3 4 5 6 = 9: 0 1 2 3 4 10 = 10: 0 1 2 3 9 11 = 11: 0 1 2 8 10 11 2 0 1 2 4 5 6 7 8 9 10 11 = 0: 0 1 2 4 5 6 7 8 9 10 11 = 1: 0 1 3 4 5 6 7 8 9 10 11 = 2: 0 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 = 5: 0 1 2 3 4 5 6 7 8 9 11 = 6: 0 1 2 3 4 5 6 7 8 10 11 = 7: 0 1 2 3 4 5 6 7 9 10 11 = 8: 0 1 2 3 4 5 6 8 9 10 11 = 9: 0 1 2 3 4 5 7 8 9 10 11 = 10: 0 1 2 3 4 6 7 8 9 10 11 = 11: 0 1 2 3 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 1 7 9 10 11 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 7 = 7 = 7: 0 9 = 9 = 9: 0 10 = 10 = 10: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 1 = 0 1 = 0: 0 1 1: 0 11 1 7 = 1 7 = 1 7: 0 6 7 9 = 7 9 = 7: 0 2 9: 0 10 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 7 = 0 7 = 7: 0 5 0: 0 7 1 9 = 1 9 = 9: 0 4 1: 0 8 7 10 = 7 10 = 7: 0 3 10: 0 9 9 11 = 9 11 = 9: 0 2 11: 0 10 10 0 = 0 10 = 10: 0 2 0: 0 10 11 1 = 1 11 = 11: 0 2 1: 0 10 subchroma modal system: 0 3 0 9 = 0 9 = 9: 0 3 0: 0 9 1 10 = 1 10 = 10: 0 3 1: 0 9 7 11 = 7 11 = 7: 0 4 11: 0 8 9 0 = 0 9 = 9: 0 3 0: 0 9 10 1 = 1 10 = 10: 0 3 1: 0 9 11 7 = 7 11 = 7: 0 4 11: 0 8 subchroma modal system: 0 1 2 0 1 7 = 0 1 7 = 0: 0 1 7 1 7 9 = 1 7 9 = 9: 0 4 10 7 9 10 = 7 9 10 = 7: 0 2 3 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 1 = 0 1 11 = 11: 0 1 2 0: 0 1 11 1: 0 10 11 subchroma modal system: 0 1 3 0 1 9 = 0 1 9 = 9: 0 3 4 1 7 10 = 1 7 10 = 7: 0 3 6 10: 0 3 9 7 9 11 = 7 9 11 = 7: 0 2 4 9 10 0 = 0 9 10 = 9: 0 1 3 10: 0 2 11 10 11 1 = 1 10 11 = 10: 0 1 3 11: 0 2 11 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 1 4 0 1 10 = 0 1 10 = 10: 0 2 3 1 7 11 = 1 7 11 = 7: 0 4 6 7 9 0 = 0 7 9 = 9: 0 3 10 0: 0 7 9 9 10 1 = 1 9 10 = 9: 0 1 4 10: 0 3 11 10 11 7 = 7 10 11 = 7: 0 3 4 11 0 9 = 0 9 11 = 9: 0 2 3 subchroma modal system: 0 2 4 0 7 10 = 0 7 10 = 7: 0 3 5 0: 0 7 10 1 9 11 = 1 9 11 = 9: 0 2 4 7 10 0 = 0 7 10 = 7: 0 3 5 0: 0 7 10 9 11 1 = 1 9 11 = 9: 0 2 4 10 0 7 = 0 7 10 = 7: 0 3 5 0: 0 7 10 11 1 9 = 1 9 11 = 9: 0 2 4 subchroma modal system: 0 1 2 3 0 1 7 9 = 0 1 7 9 = 9: 0 3 4 10 0: 0 1 7 9 1 7 9 10 = 1 7 9 10 = 7: 0 2 3 6 9: 0 1 4 10 10: 0 3 9 11 7 9 10 11 = 7 9 10 11 = 7: 0 2 3 4 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 1 = 0 1 10 11 = 10: 0 1 2 3 0: 0 1 10 11 1: 0 9 10 11 11 0 1 7 = 0 1 7 11 = 0: 0 1 7 11 7: 0 4 5 6 subchroma modal system: 0 1 2 4 0 1 7 10 = 0 1 7 10 = 0: 0 1 7 10 7: 0 3 5 6 1 7 9 11 = 1 7 9 11 = 7: 0 2 4 6 9: 0 2 4 10 7 9 10 0 = 0 7 9 10 = 7: 0 2 3 5 9: 0 1 3 10 10: 0 2 9 11 0: 0 7 9 10 9 10 11 1 = 1 9 10 11 = 9: 0 1 2 4 10: 0 1 3 11 11: 0 2 10 11 10 11 0 7 = 0 7 10 11 = 7: 0 3 4 5 0: 0 7 10 11 11 0 1 9 = 0 1 9 11 = 9: 0 2 3 4 subchroma modal system: 0 1 3 4 0 1 9 10 = 0 1 9 10 = 9: 0 1 3 4 10: 0 2 3 11 1 7 10 11 = 1 7 10 11 = 7: 0 3 4 6 7 9 11 0 = 0 7 9 11 = 7: 0 2 4 5 9: 0 2 3 10 0: 0 7 9 11 9 10 0 1 = 0 1 9 10 = 9: 0 1 3 4 10: 0 2 3 11 10 11 1 7 = 1 7 10 11 = 7: 0 3 4 6 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 1 2 3 4 0 1 7 9 10 = 0 1 7 9 10 = 9: 0 1 3 4 10 7: 0 2 3 5 6 10: 0 2 3 9 11 0: 0 1 7 9 10 1 7 9 10 11 = 1 7 9 10 11 = 7: 0 2 3 4 6 9: 0 1 2 4 10 10: 0 1 3 9 11 7 9 10 11 0 = 0 7 9 10 11 = 9: 0 1 2 3 10 0: 0 7 9 10 11 9 10 11 0 1 = 0 1 9 10 11 = 9: 0 1 2 3 4 10: 0 1 2 3 11 1: 0 8 9 10 11 10 11 0 1 7 = 0 1 7 10 11 = 7: 0 3 4 5 6 0: 0 1 7 10 11 11 0 1 7 9 = 0 1 7 9 11 = 9: 0 2 3 4 10 7: 0 2 4 5 6 0: 0 1 7 9 11 subchroma modal system: 0 1 2 3 4 5 0 1 7 9 10 11 = 0 1 7 9 10 11 = 9: 0 1 2 3 4 10 10: 0 1 2 3 9 11 0: 0 1 7 9 10 11 1 7 9 10 11 0 = 0 1 7 9 10 11 = 9: 0 1 2 3 4 10 10: 0 1 2 3 9 11 0: 0 1 7 9 10 11 7 9 10 11 0 1 = 0 1 7 9 10 11 = 9: 0 1 2 3 4 10 10: 0 1 2 3 9 11 0: 0 1 7 9 10 11 9 10 11 0 1 7 = 0 1 7 9 10 11 = 9: 0 1 2 3 4 10 10: 0 1 2 3 9 11 0: 0 1 7 9 10 11 10 11 0 1 7 9 = 0 1 7 9 10 11 = 9: 0 1 2 3 4 10 10: 0 1 2 3 9 11 0: 0 1 7 9 10 11 11 0 1 7 9 10 = 0 1 7 9 10 11 = 9: 0 1 2 3 4 10 10: 0 1 2 3 9 11 0: 0 1 7 9 10 11 Subset Chord Types by Root Set 0 :0 7 0 :0 1 7 0 :0 7 9 0 :0 7 10 0 :0 7 11 0 :0 1 7 9 0 :0 1 7 10 0 :0 1 7 11 0 :0 7 9 10 0 :0 7 9 11 0 :0 7 10 11 0 :0 1 7 9 10 0 :0 1 7 9 11 0 :0 1 7 10 11 0 :0 7 9 10 11 0 :0 1 7 9 10 11 0 1 :0 9 10 11 0 1 7 9 10 11:0 0 1 9 11 :0 10 0 1 10 :0 9 0 1 10 11 :0 11 0 1 11 :0 10 11 0 9 10 11 :0 1 0 10 11:0 1 11 0 11 :0 1 10 11 1 :0 8 9 10 11 1 7 :0 6 1 11 :0 8 7 :0 5 7 :0 3 5 7 :0 4 5 7 :0 3 6 7 :0 4 6 7 :0 2 3 5 7 :0 2 4 5 7 :0 2 4 6 7 :0 3 4 5 7 :0 2 3 6 7 :0 3 4 6 7 :0 3 5 6 7 :0 4 5 6 7 :0 2 3 4 6 7 :0 2 3 5 6 7 :0 2 4 5 6 7 :0 3 4 5 6 7 9 :0 4 7 9 :0 2 4 7 9 :0 3 4 7 9 :0 2 3 4 7 9 10 :0 3 7 9 10 :0 2 3 7 9 10 11 :0 2 9 :0 1 4 9 :0 3 10 9 :0 4 10 9 :0 1 2 4 9 :0 1 3 4 9 :0 1 3 10 9 :0 1 4 10 9 :0 2 3 10 9 :0 2 4 10 9 :0 3 4 10 9 :0 1 2 3 4 9 :0 1 2 3 10 9 :0 1 2 4 10 9 :0 1 3 4 10 9 :0 2 3 4 10 9 :0 1 2 3 4 10 9 10 :0 1 3 9 10 :0 1 2 3 9 10 11:0 1 2 10 :0 3 9 10 :0 3 11 10 :0 1 3 11 10 :0 2 3 11 10 :0 2 9 11 10 :0 3 9 11 10 :0 1 2 3 11 10 :0 1 3 9 11 10 :0 2 3 9 11 10 :0 1 2 3 9 11 10 11 :0 2 11 11 :0 2 10 11 Superset Chord Types by Root Set 0 :0 1 7 9 10 11 0 :0 1 2 7 9 10 11 0 :0 1 3 7 9 10 11 0 :0 1 4 7 9 10 11 0 :0 1 5 7 9 10 11 0 :0 1 6 7 9 10 11 0 :0 1 7 8 9 10 11 0 :0 1 2 4 7 9 10 11 0 :0 1 3 4 7 9 10 11 0 :0 1 2 5 7 9 10 11 0 :0 1 2 6 7 9 10 11 0 :0 1 3 5 7 9 10 11 0 :0 1 3 6 7 9 10 11 0 :0 1 4 5 7 9 10 11 0 :0 1 4 6 7 9 10 11 0 :0 1 3 7 8 9 10 11 0 :0 1 4 7 8 9 10 11 0 :0 1 5 6 7 9 10 11 0 :0 1 2 4 5 7 9 10 11 0 :0 1 2 4 6 7 9 10 11 0 :0 1 3 4 5 7 9 10 11 0 :0 1 3 4 6 7 9 10 11 0 :0 1 3 4 7 8 9 10 11 0 :0 1 3 5 6 7 9 10 11 0 :0 1 4 5 6 7 9 10 11 0 :0 1 2 4 5 6 7 9 10 11 0 1 :0 1 6 7 8 9 10 11 0 1 :0 1 3 6 7 8 9 10 11 0 1 2 3 :0 1 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 5 6 7 8 9 10 11 0 1 2 3 4 6 :0 1 3 4 5 6 7 8 9 10 11 0 1 2 3 5 11 :0 1 2 4 5 6 7 8 9 10 11 0 1 2 4 :0 1 3 5 6 7 8 9 10 11 0 1 2 4 10 11 :0 1 2 3 5 6 7 8 9 10 11 0 1 2 11 :0 1 2 5 6 7 8 9 10 11 0 1 3 :0 1 4 6 7 8 9 10 11 0 1 3 :0 1 3 4 6 7 8 9 10 11 0 1 3 9 10 11 :0 1 2 3 4 6 7 8 9 10 11 0 1 3 11 :0 1 2 4 6 7 8 9 10 11 0 1 10 11 :0 1 2 3 6 7 8 9 10 11 0 1 11 :0 1 2 6 7 8 9 10 11 0 2 :0 1 5 7 8 9 10 11 0 2 :0 1 3 5 7 8 9 10 11 0 2 :0 1 4 5 7 8 9 10 11 0 2 :0 1 3 4 5 7 8 9 10 11 0 2 8 9 10 11 :0 1 2 3 4 5 7 8 9 10 11 0 2 10 11 :0 1 2 3 5 7 8 9 10 11 0 2 11 :0 1 2 5 7 8 9 10 11 0 2 11 :0 1 2 4 5 7 8 9 10 11 0 6 :0 1 3 4 5 6 7 9 10 11 0 6 7 8 9 10 :0 1 2 3 4 5 6 7 9 10 11 0 8 9 10 :0 1 2 3 4 5 7 9 10 11 0 9 10 :0 1 2 3 4 7 9 10 11 0 9 10 :0 1 2 3 4 6 7 9 10 11 0 9 10 11 :0 1 2 3 4 7 8 9 10 11 0 10 :0 1 2 3 7 9 10 11 0 10 :0 1 2 3 5 7 9 10 11 0 10 :0 1 2 3 6 7 9 10 11 0 10 :0 1 2 3 5 6 7 9 10 11 0 10 11 :0 1 2 3 7 8 9 10 11 0 11 :0 1 2 7 8 9 10 11 0 11 :0 1 2 4 7 8 9 10 11 1 :0 6 7 8 9 10 11 1 :0 2 6 7 8 9 10 11 1 :0 3 6 7 8 9 10 11 1 :0 2 3 5 6 8 9 10 11 1 :0 2 3 6 7 8 9 10 11 1 :0 1 3 4 5 6 8 9 10 11 1 2 3 :0 4 5 6 7 8 9 10 11 1 2 3 4 :0 3 4 5 6 7 8 9 10 11 1 2 3 4 5 7 :0 2 3 4 5 6 7 8 9 10 11 1 2 3 5 :0 2 4 5 6 7 8 9 10 11 1 2 4 :0 3 5 6 7 8 9 10 11 1 2 4 :0 2 3 5 6 7 8 9 10 11 1 3 :0 4 6 7 8 9 10 11 1 3 :0 2 4 6 7 8 9 10 11 1 3 :0 3 4 6 7 8 9 10 11 1 3 :0 2 3 4 6 7 8 9 10 11 1 7 :0 2 3 4 5 6 8 9 10 11 1 7 8 9 10 11 :0 1 2 3 4 5 6 8 9 10 11 1 9 10 11 :0 1 2 3 4 6 8 9 10 11 1 10 11 :0 1 2 3 5 6 8 9 10 11 1 11 :0 1 2 4 5 6 8 9 10 11 2 :0 5 7 8 9 10 11 2 :0 2 5 7 8 9 10 11 2 :0 3 5 7 8 9 10 11 2 :0 4 5 7 8 9 10 11 2 :0 2 3 5 7 8 9 10 11 2 :0 2 4 5 7 8 9 10 11 2 :0 3 4 5 7 8 9 10 11 2 :0 2 3 4 5 7 8 9 10 11 3 :0 4 6 7 8 9 10 3 :0 1 4 6 7 8 9 10 3 :0 2 4 6 7 8 9 10 3 :0 3 4 6 7 8 9 10 3 :0 4 5 6 7 8 9 10 3 :0 1 2 4 6 7 8 9 10 3 :0 1 3 4 6 7 8 9 10 3 :0 2 3 4 6 7 8 9 10 3 :0 1 4 5 6 7 8 9 10 3 4 :0 3 4 5 6 7 8 9 10 3 4 5 6 7 9 :0 1 2 3 4 5 6 7 8 9 10 3 4 5 7 :0 2 3 4 5 6 7 8 9 10 3 4 6 :0 1 3 4 5 6 7 8 9 10 3 5 :0 2 4 5 6 7 8 9 10 3 5 :0 1 2 4 5 6 7 8 9 10 3 9 :0 1 2 3 4 6 7 8 9 10 4 :0 3 5 6 7 8 9 4 :0 1 3 5 6 7 8 9 4 :0 2 3 5 6 7 8 9 4 :0 3 5 6 7 8 9 10 4 :0 3 5 6 7 8 9 11 4 :0 1 2 3 5 6 7 8 9 4 :0 1 3 5 6 7 8 9 10 4 :0 1 3 5 6 7 8 9 11 4 :0 2 3 5 6 7 8 9 10 4 :0 2 3 5 6 7 8 9 11 4 :0 3 4 5 6 7 8 9 11 4 :0 1 2 3 5 6 7 8 9 10 4 5 6 7 :0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 10 :0 1 2 3 4 5 6 7 8 9 11 4 5 7 :0 2 3 4 5 6 7 8 9 4 5 7 :0 2 3 4 5 6 7 8 9 11 4 6 :0 1 3 4 5 6 7 8 9 11 4 10 :0 1 2 3 5 6 7 8 9 11 5 :0 2 4 5 6 7 8 5 :0 1 2 4 5 6 7 8 5 :0 2 4 5 6 7 8 10 5 :0 2 4 5 6 7 8 11 5 :0 1 2 4 5 6 7 8 9 5 :0 1 2 4 5 6 7 8 10 5 :0 1 2 4 5 6 7 8 11 5 :0 2 4 5 6 7 8 9 11 5 :0 2 4 5 6 7 8 10 11 5 :0 1 2 4 5 6 7 8 9 11 5 6 7 :0 1 2 3 4 5 6 7 8 5 6 7 8 :0 1 2 3 4 5 6 7 8 11 5 6 7 8 9 11 :0 1 2 3 4 5 6 7 8 10 11 5 6 7 9 :0 1 2 3 4 5 6 7 8 10 5 7 :0 2 3 4 5 6 7 8 5 7 :0 2 3 4 5 6 7 8 10 5 7 :0 2 3 4 5 6 7 8 11 5 7 :0 2 3 4 5 6 7 8 10 11 5 11 :0 1 2 4 5 6 7 8 10 11 6 :0 1 3 4 5 6 7 6 :0 1 3 4 5 6 7 8 6 :0 1 3 4 5 6 7 9 6 :0 1 3 4 5 6 7 10 6 :0 1 3 4 5 6 7 11 6 :0 1 3 4 5 6 7 8 10 6 :0 1 3 4 5 6 7 8 11 6 :0 1 3 4 5 6 7 9 10 6 :0 1 3 4 5 6 7 9 11 6 :0 1 3 4 5 6 7 10 11 6 :0 1 3 4 5 6 7 8 10 11 6 7 :0 1 2 3 4 5 6 7 6 7 :0 1 2 3 4 5 6 7 9 6 7 8 :0 1 2 3 4 5 6 7 11 6 7 8 9 :0 1 2 3 4 5 6 7 10 11 6 7 8 10 :0 1 2 3 4 5 6 7 9 11 6 7 9 :0 1 2 3 4 5 6 7 10 6 7 9 :0 1 2 3 4 5 6 7 9 10 7 :0 1 2 3 4 5 6 7 :0 2 3 4 5 6 7 7 :0 2 3 4 5 6 9 7 :0 2 3 4 5 6 10 7 :0 2 3 4 5 6 11 7 :0 2 3 4 5 6 7 10 7 :0 2 3 4 5 6 7 11 7 :0 2 3 4 5 6 9 10 7 :0 2 3 4 5 6 10 11 7 :0 2 3 4 5 6 7 9 7 :0 2 3 4 5 6 7 9 10 7 :0 2 3 4 5 6 7 9 11 7 :0 2 3 4 5 6 7 10 11 7 :0 2 3 4 5 6 9 10 11 7 :0 2 3 4 5 6 7 9 10 11 7 8 9 10 :0 1 2 3 4 5 6 9 10 11 7 8 9 11 :0 1 2 3 4 5 6 8 10 11 7 8 10 :0 1 2 3 4 5 6 8 9 11 7 9 :0 1 2 3 4 5 6 10 7 9 :0 1 2 3 4 5 6 8 10 7 9 :0 1 2 3 4 5 6 9 10 7 9 :0 1 2 3 4 5 6 8 9 10 8 :0 1 2 3 4 5 7 11 8 :0 1 2 3 4 5 7 8 11 8 9 :0 1 2 3 4 5 7 10 11 8 9 10 11 :0 1 2 3 4 5 8 9 10 11 8 9 11 :0 1 2 3 4 5 7 8 10 11 8 10 :0 1 2 3 4 5 7 9 11 8 10 :0 1 2 3 4 5 7 8 9 11 9 :0 1 2 3 4 10 9 :0 1 2 3 4 5 10 9 :0 1 2 3 4 6 10 9 :0 1 2 3 4 7 10 9 :0 1 2 3 4 8 10 9 :0 1 2 3 4 9 10 9 :0 1 2 3 4 10 11 9 :0 1 2 3 4 5 7 10 9 :0 1 2 3 4 6 7 10 9 :0 1 2 3 4 7 8 10 9 :0 1 2 3 4 7 9 10 9 :0 1 2 3 4 7 10 11 9 :0 1 2 3 4 6 8 10 9 :0 1 2 3 4 5 7 8 10 9 :0 1 2 3 4 5 7 9 10 9 :0 1 2 3 4 6 7 8 10 9 :0 1 2 3 4 6 7 9 10 9 :0 1 2 3 4 6 7 10 11 9 :0 1 2 3 4 7 8 9 10 9 :0 1 2 3 4 5 7 8 9 10 9 10 :0 1 2 3 4 9 10 11 9 11 :0 1 2 3 4 8 10 11 9 11 :0 1 2 3 4 6 8 10 11 9 11 :0 1 2 3 4 7 8 10 11 9 11 :0 1 2 3 4 6 7 8 10 11 10 :0 1 2 3 9 11 10 :0 1 2 3 4 9 11 10 :0 1 2 3 5 9 11 10 :0 1 2 3 7 9 11 10 :0 1 2 3 4 7 9 11 10 :0 1 2 3 5 7 9 11 10 :0 1 2 3 6 7 9 11 10 :0 1 2 3 7 8 9 11 10 :0 1 2 3 4 6 7 9 11 10 :0 1 2 3 4 7 8 9 11 10 :0 1 2 3 5 6 7 9 11 10 :0 1 2 3 5 6 8 9 11 10 :0 1 2 3 5 7 8 9 11 10 :0 1 2 3 6 7 8 9 11 10 :0 1 2 3 4 6 7 8 9 11 11 :0 1 2 4 8 10 11 11 :0 1 2 7 8 10 11 11 :0 1 2 4 6 8 10 11 11 :0 1 2 3 7 8 10 11 11 :0 1 2 4 7 8 10 11 11 :0 1 2 5 7 8 10 11 11 :0 1 2 6 7 8 10 11 11 :0 1 2 3 5 7 8 10 11 11 :0 1 2 3 6 7 8 10 11 11 :0 1 2 4 5 7 8 10 11 11 :0 1 2 4 6 7 8 10 11 11 :0 1 2 3 5 6 7 8 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 7 9 10 11 = 0: 0 1 7 9 10 11 = 1: 0 6 8 9 10 11 = 7: 0 2 3 4 5 6 = 9: 0 1 2 3 4 10 = 10: 0 1 2 3 9 11 = 11: 0 1 2 8 10 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 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 2 = maj. 2nd, dim., maj. 9th | 7 9 10 11 = 7: 0 2 3 4 = 9: 0 1 2 10 = 10: 0 1 9 11 = 11: 0 8 10 11 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 7 9 10 = 7: 0 2 3 = 9: 0 1 10 = 10: 0 9 11 0 4 = maj. 3rd, maj. 10th, dim. 4th | 7 9 = 7: 0 2 = 9: 0 10 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 7 = 7: 0 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 1 7 = 1: 0 6 = 7: 0 6 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 0 = 0: 0 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 1 11 = 1: 0 10 = 11: 0 2 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 1 10 = 0: 0 1 10 = 1: 0 9 11 = 10: 0 2 3 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 1 9 11 = 0: 0 1 9 11 = 1: 0 8 10 11 = 9: 0 2 3 4 = 11: 0 1 2 10 0 11 = maj. 7th, maj. 14th | 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 9 10 = 9: 0 1 = 10: 0 11 0 1 4 | 9 = 9: 0 0 2 3 = min. trichord | 7 9 10 = 7: 0 2 3 = 9: 0 1 10 = 10: 0 9 11 0 2 4 = maj. trichord | 7 9 = 7: 0 2 = 9: 0 10 0 3 4 | 7 9 = 7: 0 2 = 9: 0 10 Sus2 triads (Scale Degrees: 125) 0 1 7 | 0 = 0: 0 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 2 11 | 10 11 = 10: 0 1 = 11: 0 11 Scale Degrees: 134 0 3 5 | 7 = 7: 0 0 4 5 | 7 = 7: 0 Triads (Scale Degrees: 135) 0 3 6 = dim. | 7 = 7: 0 0 4 6 = Mb5 | 7 = 7: 0 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 10 = 10: 0 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 9 = 9: 0 0 3 11 = mM7 no 5th | 10 = 10: 0 0 4 10 = 7 no 5th | 9 = 9: 0 6th chords no 3rd (Scale Degrees: 156) 0 7 9 | 0 = 0: 0 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 0 = 0: 0 0 7 11 = M power chord | 0 = 0: 0 Scale Degrees: 167 0 10 11 | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 chromatic tetrachord (Scale Degrees: 1223) 0 1 2 3 = chromatic tetrachord | 9 10 = 9: 0 1 = 10: 0 11 0 1 2 4 | 9 = 9: 0 0 1 3 4 = 1st 4 aux dim. | 9 = 9: 0 0 2 3 4 | 7 9 = 7: 0 2 = 9: 0 10 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 2 3 5 = min. tetrachord | 7 = 7: 0 0 2 4 5 = maj. tetrachord | 7 = 7: 0 0 2 4 6 = whole tone tetrachord | 7 = 7: 0 0 3 4 5 | 7 = 7: 0 Add 9 Chords (Scale Degrees: 1235) 0 2 3 6 = dim. add 9 | 7 = 7: 0 0 3 4 6 = Mb5 add #9 | 7 = 7: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 9 = 9: 0 0 1 3 11 = Mm7b9 no 5th | 10 = 10: 0 0 1 4 10 = 7b9 no 5th | 9 = 9: 0 0 2 3 10 = m9 no 5th | 9 = 9: 0 0 2 3 11 = mM9 no 5th | 10 = 10: 0 0 2 4 10 = 9 no 5th | 9 = 9: 0 0 3 4 10 = 7#9 no 5th, Hendrix, all-int | 9 = 9: 0 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 9 = all-int | 0 = 0: 0 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 0 = 0: 0 0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd | 0 = 0: 0 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 1 10 11 | 0 11 = 0: 0 11 = 11: 0 1 0 2 9 11 | 10 = 10: 0 0 2 10 11 | 11 = 11: 0 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 7 = 7: 0 0 4 5 6 = Mb5 add 11 | 7 = 7: 0 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 11 = mM7/6 no 5th | 10 = 10: 0 Scale Degrees: 1567 0 7 9 10 | 0 = 0: 0 0 7 9 11 | 0 = 0: 0 0 7 10 11 | 0 = 0: 0 Scale Degrees: 1667 0 9 10 11 | 0 1 = 0: 0 1 = 1: 0 11 chromatic pentachord (Scale Degrees: 12233) 0 1 2 3 4 = 1st 5 chromatics | 9 = 9: 0 Scale Degrees: 12234 0 2 3 4 6 | 7 = 7: 0 Scale Degrees: 12237 0 1 2 3 10

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

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

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

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

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

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

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	7 = 7: 0
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th	\|	1 7 = 1: 0 6 = 7: 0 6

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

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

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

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

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

Sus2 triads (Scale Degrees: 125)
0 1 7	\|	0 = 0: 0

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

Scale Degrees: 134
0 3 5	\|	7 = 7: 0
0 4 5	\|	7 = 7: 0

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	7 = 7: 0
0 4 6 = Mb5	\|	7 = 7: 0

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	10 = 10: 0

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

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

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

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

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

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

Add 9 Chords (Scale Degrees: 1235)
0 2 3 6 = dim. add 9	\|	7 = 7: 0
0 3 4 6 = Mb5 add #9	\|	7 = 7: 0

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

6/9 chords no 3rd (Scale Degrees: 1256)
0 1 7 9 = all-int	\|	0 = 0: 0

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

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

Add 11 Chords (Scale Degrees: 1345)
0 3 5 6 = blues tetrachord	\|	7 = 7: 0
0 4 5 6 = Mb5 add 11	\|	7 = 7: 0

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 11 = mM7/6 no 5th	\|	10 = 10: 0

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

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

chromatic pentachord (Scale Degrees: 12233)
0 1 2 3 4 = 1st 5 chromatics	\|	9 = 9: 0

Scale Degrees: 12234
0 2 3 4 6	\|	7 = 7: 0

Scale Degrees: 12237
0 1 2 3 10