Chord Type: 0 1 3 6 7 9 10 11

0 1 3 6 7 9 10 11

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Chord Type: 0 1 3 6 7 9 10 11

Modal System Fun Facts 0 1 2 3 4 6 9 10 Harmonic adjacency = 0 (minimum). General Statistics Cardinality: 8 Jordan Number: 8-21 Forte Number: 8-12 Forte Prime Form: [0,1,3,4,5,6,7,9] Zeitler Scale Name: Kagyllic Ian Ring's Scale Page 3787 Root Reference: 0 1 3 6 7 9 10 11 Tone Stacking: 0 1 2 3 1 2 1 1 Interval Stacking: 1 2 3 1 2 1 1 1 Binary: 1 1 0 1 0 0 1 1 0 1 1 1 Decimal Value: 3787 Interval Vector: 5 5 6 5 4 3 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.667 Harmonic Adjacency (0-1): 0.250 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: diamorphic with supplementary 6th (Scale Degrees: 12345667) 0 1 3 5 6 9 10 11 0 1 3 5 7 8 9 10 0 1 3 5 7 8 9 11 0 1 3 5 7 8 10 11 0 1 3 5 7 9 10 11 0 1 3 6 7 8 9 10 0 1 3 6 7 8 9 11 0 1 3 6 7 8 10 11 ->0 1 3 6 7 9 10 11 0 1 4 5 7 8 9 10 = Gayakapriya, 014589 & dom.7 0 1 4 5 7 8 9 11 = 014589 & M7 0 1 4 5 7 8 10 11 = Vakulabharanam 0 1 4 5 7 9 10 11 0 1 4 6 7 8 9 10 0 1 4 6 7 8 9 11 0 1 4 6 7 8 10 11 0 1 4 6 7 9 10 11 0 2 3 5 7 8 9 10 = aeodorian 0 2 3 5 7 8 9 11 = Bebop mel. min. 0 2 3 5 7 8 10 11 = Bebop harm. min. 0 2 3 5 7 9 10 11 = dorian & mel. min. 0 2 3 5 8 9 10 11 0 2 3 6 7 8 9 10 = Syamalangi 0 2 3 6 7 8 9 11 0 2 3 6 7 8 10 11 0 2 3 6 7 9 10 11 = Romanian min., Ukranian Dorian 0 2 4 5 6 9 10 11 0 2 4 5 7 8 9 10 = Mararanjani 0 2 4 5 7 8 9 11 = bebop maj. 0 2 4 5 7 8 10 11 = Charukesi 0 2 4 5 7 9 10 11 = bebop dominant, iomixolydian 0 2 4 6 7 8 9 10 0 2 4 6 7 8 9 11 0 2 4 6 7 8 10 11 0 2 4 6 7 9 10 11 0 3 4 5 6 9 10 11 0 3 4 5 7 8 9 10 = Yagapriya 0 3 4 5 7 8 9 11 0 3 4 5 7 8 10 11 0 3 4 5 7 9 10 11 0 3 4 6 7 8 9 10 0 3 4 6 7 8 9 11 0 3 4 6 7 8 10 11 0 3 4 6 7 9 10 11 All Transpositions of Chord Type: +0= 0 1 3 6 7 9 10 11 | +1= 0 1 2 4 7 8 10 11 | +2= 0 1 2 3 5 8 9 11 | +3= 0 1 2 3 4 6 9 10 | +4= 1 2 3 4 5 7 10 11 | +5= 0 2 3 4 5 6 8 11 | +6= 0 1 3 4 5 6 7 9 | +7= 1 2 4 5 6 7 8 10 | +8= 2 3 5 6 7 8 9 11 | +9= 0 3 4 6 7 8 9 10 | +10= 1 4 5 7 8 9 10 11 | +11= 0 2 5 6 8 9 10 11 | Modes of Chord Type: (mode 0) 0: 0 1 3 6 7 9 10 11 | (mode 1) 1: 0 2 5 6 8 9 10 11 | (mode 2) 3: 0 3 4 6 7 8 9 10 | (mode 3) 6: 0 1 3 4 5 6 7 9 | (mode 4) 7: 0 2 3 4 5 6 8 11 | (mode 5) 9: 0 1 2 3 4 6 9 10 | (mode 6) 10: 0 1 2 3 5 8 9 11 | (mode 7) 11: 0 1 2 4 7 8 10 11 | Modes of Chord Type Sorted by Rootedness: 1.433(mode 7)11:0 1 2 4 7 8 10 11 | 1.292(mode 0)0:0 1 3 6 7 9 10 11 | 1.225(mode 2)3:0 3 4 6 7 8 9 10 | 1.033(mode 3)6:0 1 3 4 5 6 7 9 | 1.033(mode 5)9:0 1 2 3 4 6 9 10 | .258(mode 4)7:0 2 3 4 5 6 8 11 | .058(mode 6)10:0 1 2 3 5 8 9 11 | -.167(mode 1)1:0 2 5 6 8 9 10 11 | Inversion at 0: 0 1 2 3 5 6 9 11 (mode 0) 0: 0 1 2 3 5 6 9 11 | (mode 1) 1: 0 1 2 4 5 8 10 11 | (mode 2) 2: 0 1 3 4 7 9 10 11 | (mode 3) 3: 0 2 3 6 8 9 10 11 | (mode 4) 5: 0 1 4 6 7 8 9 10 | (mode 5) 6: 0 3 5 6 7 8 9 11 | (mode 6) 9: 0 2 3 4 5 6 8 9 | (mode 7) 11: 0 1 2 3 4 6 7 10 | Times 7: 0 1 3 5 6 7 9 10 (mode 0) 0: 0 1 3 5 6 7 9 10 | (mode 1) 1: 0 2 4 5 6 8 9 11 | (mode 2) 3: 0 2 3 4 6 7 9 10 | (mode 3) 5: 0 1 2 4 5 7 8 10 | (mode 4) 6: 0 1 3 4 6 7 9 11 | (mode 5) 7: 0 2 3 5 6 8 10 11 | (mode 6) 9: 0 1 3 4 6 8 9 10 | (mode 7) 10: 0 2 3 5 7 8 9 11 | Bebop melodic minor = harmonic & melodic minor Times 5: 0 2 3 5 6 7 9 11 (mode 0) 0: 0 2 3 5 6 7 9 11 | (mode 1) 2: 0 1 3 4 5 7 9 10 | (mode 2) 3: 0 2 3 4 6 8 9 11 | (mode 3) 5: 0 1 2 4 6 7 9 10 | (mode 4) 6: 0 1 3 5 6 8 9 11 | (mode 5) 7: 0 2 4 5 7 8 10 11 | mela 26 Charukesi (mode 6) 9: 0 2 3 5 6 8 9 10 | (mode 7) 11: 0 1 3 4 6 7 8 10 | Modal System: 0 1 2 3 4 6 9 10 from root(s) 9 | "" Modes of Modal System: (mode 0) 0: 0 1 2 3 4 6 9 10 | (mode 1) 1: 0 1 2 3 5 8 9 11 | (mode 2) 2: 0 1 2 4 7 8 10 11 | (mode 3) 3: 0 1 3 6 7 9 10 11 | (mode 4) 4: 0 2 5 6 8 9 10 11 | (mode 5) 6: 0 3 4 6 7 8 9 10 | (mode 6) 9: 0 1 3 4 5 6 7 9 | (mode 7) 10: 0 2 3 4 5 6 8 11 | Complement: 2 4 5 8 (mode 0) 2: 0 2 3 6 | dim. add 9 (mode 1) 4: 0 1 4 10 | 7b9 no 5th (mode 2) 5: 0 3 9 11 | mM7/6 no 5th (mode 3) 8: 0 6 8 9 | All but the root (subchroma complement of 0): 1 3 6 7 9 10 11 (mode 0) 1: 0 2 5 6 8 9 10 | (mode 1) 3: 0 3 4 6 7 8 10 | mb13b5#9 = mela 68 Jyoti swarupini (mode 2) 6: 0 1 3 4 5 7 9 | (mode 3) 7: 0 2 3 4 6 8 11 | (mode 4) 9: 0 1 2 4 6 9 10 | (mode 5) 10: 0 1 3 5 8 9 11 | mM13#5b9 (mode 6) 11: 0 2 4 7 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 3 6 7 9 (mode 0) 1: 0 2 5 6 8 | (mode 1) 3: 0 3 4 6 10 | 7b5#9 (mode 2) 6: 0 1 3 7 9 | (mode 3) 7: 0 2 6 8 11 | (mode 4) 9: 0 4 6 9 10 | Dechromaticised but Keep 0 0 1 3 6 7 9 (mode 0) 0: 0 1 3 6 7 9 | (mode 1) 1: 0 2 5 6 8 11 | (mode 2) 3: 0 3 4 6 9 10 | (mode 3) 6: 0 1 3 6 7 9 | (mode 4) 7: 0 2 5 6 8 11 | (mode 5) 9: 0 3 4 6 9 10 | Dechromaticised but Keep 0 7 0 1 3 6 7 9 (mode 0) 0: 0 1 3 6 7 9 | (mode 1) 1: 0 2 5 6 8 11 | (mode 2) 3: 0 3 4 6 9 10 | (mode 3) 6: 0 1 3 6 7 9 | (mode 4) 7: 0 2 5 6 8 11 | (mode 5) 9: 0 3 4 6 9 10 | Dechromaticised but Keep 0 3 4 7 0 1 3 6 7 9 (mode 0) 0: 0 1 3 6 7 9 | (mode 1) 1: 0 2 5 6 8 11 | (mode 2) 3: 0 3 4 6 9 10 | (mode 3) 6: 0 1 3 6 7 9 | (mode 4) 7: 0 2 5 6 8 11 | (mode 5) 9: 0 3 4 6 9 10 | Alt-Dechromaticised: 0 1 3 7 9 10 11 (mode 0) 0: 0 1 3 7 9 10 11 | (mode 1) 1: 0 2 6 8 9 10 11 | (mode 2) 3: 0 4 6 7 8 9 10 | (mode 3) 7: 0 2 3 4 5 6 8 | (mode 4) 9: 0 1 2 3 4 6 10 | (mode 5) 10: 0 1 2 3 5 9 11 | (mode 6) 11: 0 1 2 4 8 10 11 | Alt-Dechromaticised but Keep 0 0 1 3 7 9 10 11 (unchanged) (mode 0) 0: 0 1 3 7 9 10 11 | (mode 1) 1: 0 2 6 8 9 10 11 | (mode 2) 3: 0 4 6 7 8 9 10 | (mode 3) 7: 0 2 3 4 5 6 8 | (mode 4) 9: 0 1 2 3 4 6 10 | (mode 5) 10: 0 1 2 3 5 9 11 | (mode 6) 11: 0 1 2 4 8 10 11 | Alt-Dechromaticised but Keep 0 7 0 1 3 7 9 10 11 (unchanged) (mode 0) 0: 0 1 3 7 9 10 11 | (mode 1) 1: 0 2 6 8 9 10 11 | (mode 2) 3: 0 4 6 7 8 9 10 | (mode 3) 7: 0 2 3 4 5 6 8 | (mode 4) 9: 0 1 2 3 4 6 10 | (mode 5) 10: 0 1 2 3 5 9 11 | (mode 6) 11: 0 1 2 4 8 10 11 | Alt-Dechromaticised but Keep 0 3 4 7 0 1 3 7 9 10 11 (unchanged) (mode 0) 0: 0 1 3 7 9 10 11 | (mode 1) 1: 0 2 6 8 9 10 11 | (mode 2) 3: 0 4 6 7 8 9 10 | (mode 3) 7: 0 2 3 4 5 6 8 | (mode 4) 9: 0 1 2 3 4 6 10 | (mode 5) 10: 0 1 2 3 5 9 11 | (mode 6) 11: 0 1 2 4 8 10 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: (mode 0) 0: 0 1 3 4 6 7 9 10 11 | (mode 1) 1: 0 2 3 5 6 8 9 10 11 | (mode 2) 3: 0 1 3 4 6 7 8 9 10 | (mode 3) 4: 0 2 3 5 6 7 8 9 11 | (mode 4) 6: 0 1 3 4 5 6 7 9 10 | (mode 5) 7: 0 2 3 4 5 6 8 9 11 | (mode 6) 9: 0 1 2 3 4 6 7 9 10 | (mode 7) 10: 0 1 2 3 5 6 8 9 11 | (mode 8) 11: 0 1 2 4 5 7 8 10 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 3 4 6 7 9 10 11 | (mode 1) 1: 0 2 3 5 6 8 9 10 11 | (mode 2) 3: 0 1 3 4 6 7 8 9 10 | (mode 3) 4: 0 2 3 5 6 7 8 9 11 | (mode 4) 6: 0 1 3 4 5 6 7 9 10 | (mode 5) 7: 0 2 3 4 5 6 8 9 11 | (mode 6) 9: 0 1 2 3 4 6 7 9 10 | (mode 7) 10: 0 1 2 3 5 6 8 9 11 | (mode 8) 11: 0 1 2 4 5 7 8 10 11 | (mode 0) 0: 0 1 2 3 6 7 9 10 11 | (mode 1) 1: 0 1 2 5 6 8 9 10 11 | (mode 2) 2: 0 1 4 5 7 8 9 10 11 | (mode 3) 3: 0 3 4 6 7 8 9 10 11 | (mode 4) 6: 0 1 3 4 5 6 7 8 9 | (mode 5) 7: 0 2 3 4 5 6 7 8 11 | (mode 6) 9: 0 1 2 3 4 5 6 9 10 | (mode 7) 10: 0 1 2 3 4 5 8 9 11 | (mode 8) 11: 0 1 2 3 4 7 8 10 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 3 6 7 9 10 11 = 0: 0 1 3 6 7 9 10 11 = 1: 0 2 5 6 8 9 10 11 = 3: 0 3 4 6 7 8 9 10 = 6: 0 1 3 4 5 6 7 9 = 7: 0 2 3 4 5 6 8 11 = 9: 0 1 2 3 4 6 9 10 = 10: 0 1 2 3 5 8 9 11 = 11: 0 1 2 4 7 8 10 11 1 3 3 0 3 4 6 7 8 9 10 = 0: 0 3 4 6 7 8 9 10 = 3: 0 1 3 4 5 6 7 9 = 4: 0 2 3 4 5 6 8 11 = 6: 0 1 2 3 4 6 9 10 = 7: 0 1 2 3 5 8 9 11 = 8: 0 1 2 4 7 8 10 11 = 9: 0 1 3 6 7 9 10 11 = 10: 0 2 5 6 8 9 10 11 1 6 6 0 1 3 4 5 6 7 9 = 0: 0 1 3 4 5 6 7 9 = 1: 0 2 3 4 5 6 8 11 = 3: 0 1 2 3 4 6 9 10 = 4: 0 1 2 3 5 8 9 11 = 5: 0 1 2 4 7 8 10 11 = 6: 0 1 3 6 7 9 10 11 = 7: 0 2 5 6 8 9 10 11 = 9: 0 3 4 6 7 8 9 10 1 11 11 0 1 2 4 7 8 10 11 = 0: 0 1 2 4 7 8 10 11 = 1: 0 1 3 6 7 9 10 11 = 2: 0 2 5 6 8 9 10 11 = 4: 0 3 4 6 7 8 9 10 = 7: 0 1 3 4 5 6 7 9 = 8: 0 2 3 4 5 6 8 11 = 10: 0 1 2 3 4 6 9 10 = 11: 0 1 2 3 5 8 9 11 Bright Layer Composition order pcset 1 0 1 3 6 7 9 10 11 = 0: 0 1 3 6 7 9 10 11 = 1: 0 2 5 6 8 9 10 11 = 3: 0 3 4 6 7 8 9 10 = 6: 0 1 3 4 5 6 7 9 = 7: 0 2 3 4 5 6 8 11 = 9: 0 1 2 3 4 6 9 10 = 10: 0 1 2 3 5 8 9 11 = 11: 0 1 2 4 7 8 10 11 2 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 3 6 7 9 10 11 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 3 = 3 = 3: 0 6 = 6 = 6: 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 3 = 1 3 = 1: 0 2 3: 0 10 3 6 = 3 6 = 3: 0 3 6: 0 9 6 7 = 6 7 = 6: 0 1 7: 0 11 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 3 = 0 3 = 0: 0 3 3: 0 9 1 6 = 1 6 = 1: 0 5 6: 0 7 3 7 = 3 7 = 3: 0 4 7: 0 8 6 9 = 6 9 = 6: 0 3 9: 0 9 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 6 = 0 6 = 0 6: 0 6 1 7 = 1 7 = 1 7: 0 6 3 9 = 3 9 = 3 9: 0 6 6 10 = 6 10 = 6: 0 4 10: 0 8 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 3 = 3 11 = 11: 0 4 3: 0 8 subchroma modal system: 0 4 0 7 = 0 7 = 7: 0 5 0: 0 7 1 9 = 1 9 = 9: 0 4 1: 0 8 3 10 = 3 10 = 10: 0 5 3: 0 7 6 11 = 6 11 = 6: 0 5 11: 0 7 7 0 = 0 7 = 7: 0 5 0: 0 7 9 1 = 1 9 = 9: 0 4 1: 0 8 10 3 = 3 10 = 10: 0 5 3: 0 7 11 6 = 6 11 = 6: 0 5 11: 0 7 subchroma modal system: 0 1 2 0 1 3 = 0 1 3 = 0: 0 1 3 1: 0 2 11 1 3 6 = 1 3 6 = 3: 0 3 10 6: 0 7 9 3 6 7 = 3 6 7 = 3: 0 3 4 6 7 9 = 6 7 9 = 6: 0 1 3 7: 0 2 11 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 6 = 0 1 6 = 6: 0 6 7 1 3 7 = 1 3 7 = 3: 0 4 10 3 6 9 = 3 6 9 = 3: 0 3 6 6: 0 3 9 6 7 10 = 6 7 10 = 6: 0 1 4 7: 0 3 11 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 3 = 0 3 11 = 11: 0 1 4 0: 0 3 11 subchroma modal system: 0 1 4 0 1 7 = 0 1 7 = 0: 0 1 7 1 3 9 = 1 3 9 = 9: 0 4 6 3 6 10 = 3 6 10 = 3: 0 3 7 6: 0 4 9 6 7 11 = 6 7 11 = 7: 0 4 11 11: 0 7 8 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 3 = 3 10 11 = 11: 0 4 11 3: 0 7 8 11 0 6 = 0 6 11 = 11: 0 1 7 subchroma modal system: 0 1 5 0 1 9 = 0 1 9 = 9: 0 3 4 1 3 10 = 1 3 10 = 10: 0 3 5 3: 0 7 10 3 6 11 = 3 6 11 = 11: 0 4 7 6 7 0 = 0 6 7 = 0: 0 6 7 7 9 1 = 1 7 9 = 9: 0 4 10 9 10 3 = 3 9 10 = 3: 0 6 7 10 11 6 = 6 10 11 = 6: 0 4 5 11: 0 7 11 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 1 6 0 1 10 = 0 1 10 = 10: 0 2 3 1 3 11 = 1 3 11 = 11: 0 2 4 3 6 0 = 0 3 6 = 0: 0 3 6 3: 0 3 9 6 7 1 = 1 6 7 = 6: 0 1 7 7 9 3 = 3 7 9 = 3: 0 4 6 9 10 6 = 6 9 10 = 6: 0 3 4 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 3 7 = 0 3 7 = 0: 0 3 7 3: 0 4 9 1 6 9 = 1 6 9 = 6: 0 3 7 9: 0 4 9 3 7 10 = 3 7 10 = 3: 0 4 7 6 9 11 = 6 9 11 = 6: 0 3 5 11: 0 7 10 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 3 = 0 3 10 = 0: 0 3 10 3: 0 7 9 11 1 6 = 1 6 11 = 11: 0 2 7 6: 0 5 7 1: 0 5 10 subchroma modal system: 0 2 5 0 3 9 = 0 3 9 = 9: 0 3 6 0: 0 3 9 1 6 10 = 1 6 10 = 6: 0 4 7 3 7 11 = 3 7 11 = 3 7 11: 0 4 8 6 9 0 = 0 6 9 = 6: 0 3 6 9: 0 3 9 7 10 1 = 1 7 10 = 7: 0 3 6 10: 0 3 9 9 11 3 = 3 9 11 = 11: 0 4 10 10 0 6 = 0 6 10 = 6: 0 4 6 11 1 7 = 1 7 11 = 7: 0 4 6 subchroma modal system: 0 1 2 3 0 1 3 6 = 0 1 3 6 = 0: 0 1 3 6 3: 0 3 9 10 6: 0 6 7 9 1 3 6 7 = 1 3 6 7 = 3: 0 3 4 10 6: 0 1 7 9 3 6 7 9 = 3 6 7 9 = 3: 0 3 4 6 6 7 9 10 = 6 7 9 10 = 6: 0 1 3 4 7: 0 2 3 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 3 = 0 1 3 11 = 11: 0 1 2 4 0: 0 1 3 11 1: 0 2 10 11 subchroma modal system: 0 1 2 4 0 1 3 7 = 0 1 3 7 = 0: 0 1 3 7 3: 0 4 9 10 1 3 6 9 = 1 3 6 9 = 6: 0 3 7 9 3: 0 3 6 10 3 6 7 10 = 3 6 7 10 = 3: 0 3 4 7 6: 0 1 4 9 6 7 9 11 = 6 7 9 11 = 6: 0 1 3 5 7: 0 2 4 11 9: 0 2 9 10 11: 0 7 8 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 3 = 0 3 10 11 = 11: 0 1 4 11 0: 0 3 10 11 3: 0 7 8 9 11 0 1 6 = 0 1 6 11 = 11: 0 1 2 7 6: 0 5 6 7 1: 0 5 10 11 subchroma modal system: 0 1 2 5 0 1 3 9 = 0 1 3 9 = 9: 0 3 4 6 1 3 6 10 = 1 3 6 10 = 6: 0 4 7 9 3: 0 3 7 10 3 6 7 11 = 3 6 7 11 = 3: 0 3 4 8 11: 0 4 7 8 7: 0 4 8 11 6 7 9 0 = 0 6 7 9 = 6: 0 1 3 6 9: 0 3 9 10 0: 0 6 7 9 7 9 10 1 = 1 7 9 10 = 7: 0 2 3 6 9: 0 1 4 10 10: 0 3 9 11 9 10 11 3 = 3 9 10 11 = 11: 0 4 10 11 3: 0 6 7 8 10 11 0 6 = 0 6 10 11 = 11: 0 1 7 11 6: 0 4 5 6 11 0 1 7 = 0 1 7 11 = 0: 0 1 7 11 7: 0 4 5 6 subchroma modal system: 0 1 2 6 0 1 3 10 = 0 1 3 10 = 10: 0 2 3 5 0: 0 1 3 10 1: 0 2 9 11 3: 0 7 9 10 1 3 6 11 = 1 3 6 11 = 11: 0 2 4 7 6: 0 5 7 9 3 6 7 0 = 0 3 6 7 = 3: 0 3 4 9 0: 0 3 6 7 6 7 9 1 = 1 6 7 9 = 6: 0 1 3 7 9: 0 4 9 10 7 9 10 3 = 3 7 9 10 = 3: 0 4 6 7 9 10 11 6 = 6 9 10 11 = 6: 0 3 4 5 11: 0 7 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 6 7 = 0 1 6 7 = 0 6: 0 1 6 7 1 3 7 9 = 1 3 7 9 = 3 9: 0 4 6 10 3 6 9 10 = 3 6 9 10 = 6: 0 3 4 9 3: 0 3 6 7 6 7 10 11 = 6 7 10 11 = 6: 0 1 4 5 7: 0 3 4 11 11: 0 7 8 11 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 3 = 1 3 10 11 = 10: 0 1 3 5 11: 0 2 4 11 1: 0 2 9 10 3: 0 7 8 10 11 0 3 6 = 0 3 6 11 = 11: 0 1 4 7 0: 0 3 6 11 subchroma modal system: 0 1 3 5 0 1 6 9 = 0 1 6 9 = 9: 0 3 4 9 6: 0 3 6 7 1 3 7 10 = 1 3 7 10 = 3: 0 4 7 10 3 6 9 11 = 3 6 9 11 = 11: 0 4 7 10 6 7 10 0 = 0 6 7 10 = 7: 0 3 5 11 0: 0 6 7 10 7 9 11 1 = 1 7 9 11 = 7: 0 2 4 6 9: 0 2 4 10 9 10 0 3 = 0 3 9 10 = 9: 0 1 3 6 0: 0 3 9 10 3: 0 6 7 9 10 11 1 6 = 1 6 10 11 = 11: 0 2 7 11 6: 0 4 5 7 11 0 3 7 = 0 3 7 11 = 0: 0 3 7 11 subchroma modal system: 0 1 3 6 0 1 6 10 = 0 1 6 10 = 6: 0 4 6 7 1 3 7 11 = 1 3 7 11 = 3: 0 4 8 10 3 6 9 0 = 0 3 6 9 = 0 3 6 9: 0 3 6 9 6 7 10 1 = 1 6 7 10 = 6: 0 1 4 7 7: 0 3 6 11 7 9 11 3 = 3 7 9 11 = 11: 0 4 8 10 9 10 0 6 = 0 6 9 10 = 6: 0 3 4 6 10 11 1 7 = 1 7 10 11 = 7: 0 3 4 6 11 0 3 9 = 0 3 9 11 = 9: 0 2 3 6 11: 0 1 4 10 0: 0 3 9 11 subchroma modal system: 0 1 4 5 0 1 7 9 = 0 1 7 9 = 9: 0 3 4 10 0: 0 1 7 9 1 3 9 10 = 1 3 9 10 = 10: 0 3 5 11 3: 0 6 7 10 3 6 10 11 = 3 6 10 11 = 3: 0 3 7 8 11: 0 4 7 11 6 7 11 0 = 0 6 7 11 = 11: 0 1 7 8 7: 0 4 5 11 0: 0 6 7 11 7 9 0 1 = 0 1 7 9 = 9: 0 3 4 10 0: 0 1 7 9 9 10 1 3 = 1 3 9 10 = 10: 0 3 5 11 3: 0 6 7 10 10 11 3 6 = 3 6 10 11 = 3: 0 3 7 8 11: 0 4 7 11 11 0 6 7 = 0 6 7 11 = 11: 0 1 7 8 7: 0 4 5 11 0: 0 6 7 11 subchroma modal system: 0 1 4 6 0 1 7 10 = 0 1 7 10 = 0: 0 1 7 10 7: 0 3 5 6 1 3 9 11 = 1 3 9 11 = 9: 0 2 4 6 11: 0 2 4 10 3 6 10 0 = 0 3 6 10 = 3: 0 3 7 9 0: 0 3 6 10 6 7 11 1 = 1 6 7 11 = 6: 0 1 5 7 11: 0 2 7 8 7: 0 4 6 11 7 9 0 3 = 0 3 7 9 = 0: 0 3 7 9 9: 0 3 6 10 9 10 1 6 = 1 6 9 10 = 6: 0 3 4 7 9: 0 1 4 9 10 11 3 7 = 3 7 10 11 = 7: 0 3 4 8 3: 0 4 7 8 11: 0 4 8 11 11 0 6 9 = 0 6 9 11 = 11: 0 1 7 10 6: 0 3 5 6 subchroma modal system: 0 2 4 6 0 3 7 10 = 0 3 7 10 = 3: 0 4 7 9 0: 0 3 7 10 1 6 9 11 = 1 6 9 11 = 9: 0 2 4 9 11: 0 2 7 10 6: 0 3 5 7 3 7 10 0 = 0 3 7 10 = 3: 0 4 7 9 0: 0 3 7 10 6 9 11 1 = 1 6 9 11 = 9: 0 2 4 9 11: 0 2 7 10 6: 0 3 5 7 7 10 0 3 = 0 3 7 10 = 3: 0 4 7 9 0: 0 3 7 10 9 11 1 6 = 1 6 9 11 = 9: 0 2 4 9 11: 0 2 7 10 6: 0 3 5 7 10 0 3 7 = 0 3 7 10 = 3: 0 4 7 9 0: 0 3 7 10 11 1 6 9 = 1 6 9 11 = 9: 0 2 4 9 11: 0 2 7 10 6: 0 3 5 7 subchroma modal system: 0 1 2 3 4 0 1 3 6 7 = 0 1 3 6 7 = 0: 0 1 3 6 7 3: 0 3 4 9 10 6: 0 1 6 7 9 1 3 6 7 9 = 1 3 6 7 9 = 6: 0 1 3 7 9 3: 0 3 4 6 10 3 6 7 9 10 = 3 6 7 9 10 = 6: 0 1 3 4 9 3: 0 3 4 6 7 6 7 9 10 11 = 6 7 9 10 11 = 6: 0 1 3 4 5 7: 0 2 3 4 11 9: 0 1 2 9 10 11: 0 7 8 10 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 3 = 0 1 3 10 11 = 10: 0 1 2 3 5 11: 0 1 2 4 11 0: 0 1 3 10 11 1: 0 2 9 10 11 3: 0 7 8 9 10 11 0 1 3 6 = 0 1 3 6 11 = 11: 0 1 2 4 7 0: 0 1 3 6 11 subchroma modal system: 0 1 2 3 5 0 1 3 6 9 = 0 1 3 6 9 = 0: 0 1 3 6 9 9: 0 3 4 6 9 6: 0 3 6 7 9 1 3 6 7 10 = 1 3 6 7 10 = 6: 0 1 4 7 9 3: 0 3 4 7 10 3 6 7 9 11 = 3 6 7 9 11 = 7: 0 2 4 8 11 11: 0 4 7 8 10 6 7 9 10 0 = 0 6 7 9 10 = 6: 0 1 3 4 6 9: 0 1 3 9 10 0: 0 6 7 9 10 7 9 10 11 1 = 1 7 9 10 11 = 7: 0 2 3 4 6 9: 0 1 2 4 10 10: 0 1 3 9 11 9 10 11 0 3 = 0 3 9 10 11 = 9: 0 1 2 3 6 11: 0 1 4 10 11 0: 0 3 9 10 11 3: 0 6 7 8 9 10 11 0 1 6 = 0 1 6 10 11 = 11: 0 1 2 7 11 6: 0 4 5 6 7 11 0 1 3 7 = 0 1 3 7 11 = 11: 0 1 2 4 8 0: 0 1 3 7 11 7: 0 4 5 6 8 3: 0 4 8 9 10 subchroma modal system: 0 1 2 3 6 0 1 3 6 10 = 0 1 3 6 10 = 0: 0 1 3 6 10 6: 0 4 6 7 9 3: 0 3 7 9 10 1 3 6 7 11 = 1 3 6 7 11 = 11: 0 2 4 7 8 3: 0 3 4 8 10 6: 0 1 5 7 9 3 6 7 9 0 = 0 3 6 7 9 = 6: 0 1 3 6 9 3: 0 3 4 6 9 0: 0 3 6 7 9 6 7 9 10 1 = 1 6 7 9 10 = 6: 0 1 3 4 7 7: 0 2 3 6 11 9: 0 1 4 9 10 7 9 10 11 3 = 3 7 9 10 11 = 7: 0 2 3 4 8 3: 0 4 6 7 8 11: 0 4 8 10 11 9 10 11 0 6 = 0 6 9 10 11 = 6: 0 3 4 5 6 11: 0 1 7 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 3 9 = 0 1 3 9 11 = 9: 0 2 3 4 6 11: 0 1 2 4 10 0: 0 1 3 9 11 subchroma modal system: 0 1 2 4 5 0 1 3 7 9 = 0 1 3 7 9 = 0: 0 1 3 7 9 9: 0 3 4 6 10 1 3 6 9 10 = 1 3 6 9 10 = 6: 0 3 4 7 9 3: 0 3 6 7 10 3 6 7 10 11 = 3 6 7 10 11 = 3: 0 3 4 7 8 7: 0 3 4 8 11 11: 0 4 7 8 11 6 7 9 11 0 = 0 6 7 9 11 = 6: 0 1 3 5 6 9: 0 2 3 9 10 11: 0 1 7 8 10 0: 0 6 7 9 11 7 9 10 0 1 = 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 9 10 11 1 3 = 1 3 9 10 11 = 9: 0 1 2 4 6 11: 0 2 4 10 11 3: 0 6 7 8 10 10 11 0 3 6 = 0 3 6 10 11 = 11: 0 1 4 7 11 3: 0 3 7 8 9 0: 0 3 6 10 11 11 0 1 6 7 = 0 1 6 7 11 = 11: 0 1 2 7 8 6: 0 1 5 6 7 0: 0 1 6 7 11 subchroma modal system: 0 1 2 4 6 0 1 3 7 10 = 0 1 3 7 10 = 0: 0 1 3 7 10 7: 0 3 5 6 8 3: 0 4 7 9 10 1 3 6 9 11 = 1 3 6 9 11 = 11: 0 2 4 7 10 6: 0 3 5 7 9 3 6 7 10 0 = 0 3 6 7 10 = 3: 0 3 4 7 9 0: 0 3 6 7 10 6 7 9 11 1 = 1 6 7 9 11 = 6: 0 1 3 5 7 7: 0 2 4 6 11 9: 0 2 4 9 10 11: 0 2 7 8 10 7 9 10 0 3 = 0 3 7 9 10 = 9: 0 1 3 6 10 3: 0 4 6 7 9 0: 0 3 7 9 10 9 10 11 1 6 = 1 6 9 10 11 = 9: 0 1 2 4 9 6: 0 3 4 5 7 11: 0 2 7 10 11 10 11 0 3 7 = 0 3 7 10 11 = 11: 0 1 4 8 11 3: 0 4 7 8 9 0: 0 3 7 10 11 11 0 1 6 9 = 0 1 6 9 11 = 9: 0 2 3 4 9 11: 0 1 2 7 10 6: 0 3 5 6 7 subchroma modal system: 0 1 2 5 6 0 1 3 9 10 = 0 1 3 9 10 = 9: 0 1 3 4 6 0: 0 1 3 9 10 3: 0 6 7 9 10 1 3 6 10 11 = 1 3 6 10 11 = 11: 0 2 4 7 11 6: 0 4 5 7 9 3: 0 3 7 8 10 3 6 7 11 0 = 0 3 6 7 11 = 11: 0 1 4 7 8 0: 0 3 6 7 11 6 7 9 0 1 = 0 1 6 7 9 = 6: 0 1 3 6 7 9: 0 3 4 9 10 0: 0 1 6 7 9 7 9 10 1 3 = 1 3 7 9 10 = 9: 0 1 4 6 10 3: 0 4 6 7 10 9 10 11 3 6 = 3 6 9 10 11 = 3: 0 3 6 7 8 11: 0 4 7 10 11 10 11 0 6 7 = 0 6 7 10 11 = 7: 0 3 4 5 11 11: 0 1 7 8 11 0: 0 6 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 3 4 6 0 1 6 7 10 = 0 1 6 7 10 = 6: 0 1 4 6 7 0: 0 1 6 7 10 1 3 7 9 11 = 1 3 7 9 11 = 7: 0 2 4 6 8 9: 0 2 4 6 10 11: 0 2 4 8 10 3 6 9 10 0 = 0 3 6 9 10 = 9: 0 1 3 6 9 6: 0 3 4 6 9 3: 0 3 6 7 9 6 7 10 11 1 = 1 6 7 10 11 = 6: 0 1 4 5 7 7: 0 3 4 6 11 11: 0 2 7 8 11 7 9 11 0 3 = 0 3 7 9 11 = 11: 0 1 4 8 10 9: 0 2 3 6 10 0: 0 3 7 9 11 9 10 0 1 6 = 0 1 6 9 10 = 9: 0 1 3 4 9 6: 0 3 4 6 7 10 11 1 3 7 = 1 3 7 10 11 = 11: 0 2 4 8 11 3: 0 4 7 8 10 11 0 3 6 9 = 0 3 6 9 11 = 11: 0 1 4 7 10 subchroma modal system: 0 1 2 3 4 5 0 1 3 6 7 9 = 0 1 3 6 7 9 = 0 6: 0 1 3 6 7 9 1 3 6 7 9 10 = 1 3 6 7 9 10 = 6: 0 1 3 4 7 9 3: 0 3 4 6 7 10 3 6 7 9 10 11 = 3 6 7 9 10 11 = 7: 0 2 3 4 8 11 3: 0 3 4 6 7 8 11: 0 4 7 8 10 11 6 7 9 10 11 0 = 0 6 7 9 10 11 = 7: 0 2 3 4 5 11 9: 0 1 2 3 9 10 11: 0 1 7 8 10 11 0: 0 6 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 3 = 0 1 3 9 10 11 = 9: 0 1 2 3 4 6 10: 0 1 2 3 5 11 11: 0 1 2 4 10 11 0: 0 1 3 9 10 11 3: 0 6 7 8 9 10 10 11 0 1 3 6 = 0 1 3 6 10 11 = 11: 0 1 2 4 7 11 6: 0 4 5 6 7 9 3: 0 3 7 8 9 10 11 0 1 3 6 7 = 0 1 3 6 7 11 = 11: 0 1 2 4 7 8 0: 0 1 3 6 7 11 3: 0 3 4 8 9 10 subchroma modal system: 0 1 2 3 4 6 0 1 3 6 7 10 = 0 1 3 6 7 10 = 6: 0 1 4 6 7 9 0: 0 1 3 6 7 10 3: 0 3 4 7 9 10 1 3 6 7 9 11 = 1 3 6 7 9 11 = 6: 0 1 3 5 7 9 11: 0 2 4 7 8 10 3 6 7 9 10 0 = 0 3 6 7 9 10 = 3: 0 3 4 6 7 9 0: 0 3 6 7 9 10 6 7 9 10 11 1 = 1 6 7 9 10 11 = 6: 0 1 3 4 5 7 7: 0 2 3 4 6 11 9: 0 1 2 4 9 10 11: 0 2 7 8 10 11 7 9 10 11 0 3 = 0 3 7 9 10 11 = 11: 0 1 4 8 10 11 3: 0 4 6 7 8 9 0: 0 3 7 9 10 11 9 10 11 0 1 6 = 0 1 6 9 10 11 = 9: 0 1 2 3 4 9 11: 0 1 2 7 10 11 6: 0 3 4 5 6 7 10 11 0 1 3 7 = 0 1 3 7 10 11 = 0: 0 1 3 7 10 11 3: 0 4 7 8 9 10 11 0 1 3 6 9 = 0 1 3 6 9 11 = 9: 0 2 3 4 6 9 11: 0 1 2 4 7 10 6: 0 3 5 6 7 9 subchroma modal system: 0 1 2 3 5 6 0 1 3 6 9 10 = 0 1 3 6 9 10 = 6: 0 3 4 6 7 9 3: 0 3 6 7 9 10 1 3 6 7 10 11 = 1 3 6 7 10 11 = 6: 0 1 4 5 7 9 11: 0 2 4 7 8 11 3: 0 3 4 7 8 10 3 6 7 9 11 0 = 0 3 6 7 9 11 = 11: 0 1 4 7 8 10 0: 0 3 6 7 9 11 6 7 9 10 0 1 = 0 1 6 7 9 10 = 6: 0 1 3 4 6 7 9: 0 1 3 4 9 10 7: 0 2 3 5 6 11 0: 0 1 6 7 9 10 7 9 10 11 1 3 = 1 3 7 9 10 11 = 11: 0 2 4 8 10 11 3: 0 4 6 7 8 10 9 10 11 0 3 6 = 0 3 6 9 10 11 = 11: 0 1 4 7 10 11 3: 0 3 6 7 8 9 10 11 0 1 6 7 = 0 1 6 7 10 11 = 11: 0 1 2 7 8 11 6: 0 1 4 5 6 7 7: 0 3 4 5 6 11 0: 0 1 6 7 10 11 11 0 1 3 7 9 = 0 1 3 7 9 11 = 11: 0 1 2 4 8 10 9: 0 2 3 4 6 10 0: 0 1 3 7 9 11 subchroma modal system: 0 1 2 4 5 6 0 1 3 7 9 10 = 0 1 3 7 9 10 = 7: 0 2 3 5 6 8 0: 0 1 3 7 9 10 3: 0 4 6 7 9 10 1 3 6 9 10 11 = 1 3 6 9 10 11 = 6: 0 3 4 5 7 9 11: 0 2 4 7 10 11 3: 0 3 6 7 8 10 3 6 7 10 11 0 = 0 3 6 7 10 11 = 3: 0 3 4 7 8 9 11: 0 1 4 7 8 11 0: 0 3 6 7 10 11 6 7 9 11 0 1 = 0 1 6 7 9 11 = 9: 0 2 3 4 9 10 11: 0 1 2 7 8 10 6: 0 1 3 5 6 7 7: 0 2 4 5 6 11 0: 0 1 6 7 9 11 7 9 10 0 1 3 = 0 1 3 7 9 10 = 7: 0 2 3 5 6 8 0: 0 1 3 7 9 10 3: 0 4 6 7 9 10 9 10 11 1 3 6 = 1 3 6 9 10 11 = 6: 0 3 4 5 7 9 11: 0 2 4 7 10 11 3: 0 3 6 7 8 10 10 11 0 3 6 7 = 0 3 6 7 10 11 = 3: 0 3 4 7 8 9 11: 0 1 4 7 8 11 0: 0 3 6 7 10 11 11 0 1 6 7 9 = 0 1 6 7 9 11 = 9: 0 2 3 4 9 10 11: 0 1 2 7 8 10 6: 0 1 3 5 6 7 7: 0 2 4 5 6 11 0: 0 1 6 7 9 11 subchroma modal system: 0 1 2 3 4 5 6 0 1 3 6 7 9 10 = 0 1 3 6 7 9 10 = 6: 0 1 3 4 6 7 9 0: 0 1 3 6 7 9 10 7: 0 2 3 5 6 8 11 10: 0 2 3 5 8 9 11 3: 0 3 4 6 7 9 10 1 3 6 7 9 10 11 = 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 7 9 10: 0 1 3 5 8 9 11 3: 0 3 4 6 7 8 10 11: 0 2 4 7 8 10 11 3 6 7 9 10 11 0 = 0 3 6 7 9 10 11 = 9: 0 1 2 3 6 9 10 3: 0 3 4 6 7 8 9 11: 0 1 4 7 8 10 11 0: 0 3 6 7 9 10 11 6 7 9 10 11 0 1 = 0 1 6 7 9 10 11 = 9: 0 1 2 3 4 9 10 6: 0 1 3 4 5 6 7 7: 0 2 3 4 5 6 11 11: 0 1 2 7 8 10 11 0: 0 1 6 7 9 10 11 7 9 10 11 0 1 3 = 0 1 3 7 9 10 11 = 9: 0 1 2 3 4 6 10 10: 0 1 2 3 5 9 11 11: 0 1 2 4 8 10 11 0: 0 1 3 7 9 10 11 3: 0 4 6 7 8 9 10 9 10 11 0 1 3 6 = 0 1 3 6 9 10 11 = 11: 0 1 2 4 7 10 11 6: 0 3 4 5 6 7 9 3: 0 3 6 7 8 9 10 10 11 0 1 3 6 7 = 0 1 3 6 7 10 11 = 11: 0 1 2 4 7 8 11 6: 0 1 4 5 6 7 9 0: 0 1 3 6 7 10 11 7: 0 3 4 5 6 8 11 3: 0 3 4 7 8 9 10 11 0 1 3 6 7 9 = 0 1 3 6 7 9 11 = 11: 0 1 2 4 7 8 10 0: 0 1 3 6 7 9 11 7: 0 2 4 5 6 8 11 3: 0 3 4 6 8 9 10 subchroma modal system: 0 1 2 3 4 5 6 7 0 1 3 6 7 9 10 11 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 1 3 6 7 9 10 11 0 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 3 6 7 9 10 11 0 1 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 6 7 9 10 11 0 1 3 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 7 9 10 11 0 1 3 6 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 9 10 11 0 1 3 6 7 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 10 11 0 1 3 6 7 9 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 11 0 1 3 6 7 9 10 = 0 1 3 6 7 9 10 11 = 6: 0 1 3 4 5 6 7 9 11: 0 1 2 4 7 8 10 11 0: 0 1 3 6 7 9 10 11 3: 0 3 4 6 7 8 9 10 Subset Chord Types by Root Set 0 :0 3 7 11 0 :0 3 10 11 0 :0 6 7 11 0 :0 7 9 11 0 :0 1 3 6 11 0 :0 1 3 7 10 0 :0 1 3 7 11 0 :0 1 3 10 11 0 :0 1 6 7 10 0 :0 1 6 7 11 0 :0 1 7 9 10 0 :0 1 7 9 11 0 :0 3 6 7 11 0 :0 3 6 10 11 0 :0 3 7 9 11 0 :0 3 7 10 11 0 :0 3 9 10 11 0 :0 6 7 9 11 0 :0 6 7 10 11 0 :0 7 9 10 11 0 :0 1 3 6 7 10 0 :0 1 3 6 7 11 0 :0 1 3 7 9 10 0 :0 1 3 7 9 11 0 :0 1 3 7 10 11 0 :0 1 3 9 10 11 0 :0 1 6 7 9 10 0 :0 1 6 7 9 11 0 :0 1 6 7 10 11 0 :0 1 7 9 10 11 0 :0 3 6 7 9 11 0 :0 3 6 7 10 11 0 :0 3 7 9 10 11 0 :0 6 7 9 10 11 0 :0 1 3 6 7 9 10 0 :0 1 3 6 7 9 11 0 :0 1 3 6 7 10 11 0 :0 1 3 7 9 10 11 0 :0 1 6 7 9 10 11 0 :0 3 6 7 9 10 11 0 :0 1 3 6 7 9 10 11 0 1 :0 9 10 11 0 1 3 6 7 9 :0 6 0 1 3 6 7 9 10 11:0 0 1 3 6 9 10 :0 9 0 1 3 9 11 :0 10 0 1 7 10 11 :0 11 0 1 11 :0 10 11 0 3 :0 3 7 10 0 3 :0 6 7 10 0 3 :0 7 9 10 0 3 :0 3 6 7 10 0 3 :0 3 7 9 10 0 3 :0 6 7 9 10 0 3 :0 3 6 7 9 10 0 3 6 :0 3 7 0 3 6 :0 6 7 0 3 6 :0 7 9 0 3 6 :0 3 6 7 0 3 6 :0 3 7 9 0 3 6 :0 6 7 9 0 3 6 :0 3 6 7 9 0 3 6 7 9 :0 3 6 0 3 6 7 9 10 :0 3 0 3 6 9 :0 3 6 9 0 3 6 9 10 :0 3 9 0 3 6 11 :0 7 0 3 9 :0 3 10 0 3 9 :0 3 6 10 0 3 9 :0 3 9 10 0 3 11 :0 7 10 0 6 :0 1 3 7 0 6 :0 1 6 7 0 6 :0 1 7 9 0 6 :0 1 3 6 7 0 6 :0 1 3 7 9 0 6 :0 1 6 7 9 0 6 :0 1 3 6 7 9 0 6 9 :0 1 3 6 0 6 9 :0 1 3 6 9 0 6 9 10 :0 1 3 0 6 9 10 11 :0 1 0 6 11 :0 1 7 0 7 :0 3 6 11 0 7 10 :0 3 11 0 9 :0 1 3 10 0 9 :0 1 3 6 10 0 9 :0 1 3 9 10 0 10 :0 1 3 11 0 10 :0 3 9 11 0 10 :0 1 3 9 11 0 10 11 :0 1 11 0 11 :0 7 11 0 11 :0 1 7 10 0 11 :0 1 7 11 0 11 :0 1 10 11 0 11 :0 7 10 11 0 11 :0 1 7 10 11 1 :0 5 10 1 :0 5 10 11 1 :0 2 9 10 11 1 :0 8 9 10 11 1 3 7 10 11 :0 8 1 6 7 10 :0 5 1 7 9 10 11 :0 2 1 7 10 11 :0 2 11 1 9 :0 2 9 10 1 10 :0 2 9 11 1 11 :0 2 10 11 3 :0 3 7 8 3 :0 6 7 8 3 :0 7 8 9 3 :0 3 4 7 8 3 :0 3 4 7 10 3 :0 3 4 8 10 3 :0 3 6 7 8 3 :0 4 6 7 8 3 :0 4 6 7 10 3 :0 3 7 8 9 3 :0 4 7 8 9 3 :0 3 7 8 10 3 :0 4 7 9 10 3 :0 4 8 9 10 3 :0 6 7 8 9 3 :0 6 7 8 10 3 :0 7 8 9 10 3 :0 3 4 6 7 8 3 :0 3 4 6 7 10 3 :0 3 4 7 8 9 3 :0 3 4 7 8 10 3 :0 3 4 7 9 10 3 :0 3 4 8 9 10 3 :0 3 6 7 8 9 3 :0 4 6 7 8 9 3 :0 3 6 7 8 10 3 :0 4 6 7 8 10 3 :0 4 6 7 9 10 3 :0 3 7 8 9 10 3 :0 4 7 8 9 10 3 :0 6 7 8 9 10 3 :0 3 4 6 7 8 9 3 :0 3 4 6 7 8 10 3 :0 3 4 6 7 9 10 3 :0 3 4 6 8 9 10 3 :0 3 4 7 8 9 10 3 :0 3 6 7 8 9 10 3 :0 4 6 7 8 9 10 3 :0 3 4 6 7 8 9 10 3 6 :0 3 4 7 3 6 :0 4 6 7 3 6 :0 4 7 9 3 6 :0 3 4 6 7 3 6 :0 3 4 7 9 3 6 :0 4 6 7 9 3 6 :0 3 4 6 7 9 3 6 7 9 :0 3 4 3 6 7 9 :0 4 6 3 6 7 9 :0 3 4 6 3 6 7 9 11 :0 4 3 6 9 :0 4 9 3 6 9 :0 3 4 9 3 6 9 :0 3 4 6 9 3 6 11 :0 4 7 3 7 :0 3 4 8 3 7 11 :0 4 8 3 9 :0 3 4 10 3 9 :0 4 6 10 3 9 :0 4 9 10 3 9 :0 3 4 6 10 3 9 :0 3 4 9 10 3 9 11 :0 4 10 3 11 :0 7 8 3 11 :0 4 7 8 3 11 :0 4 7 10 3 11 :0 4 8 10 3 11 :0 7 8 10 3 11 :0 4 7 8 10 6 :0 5 7 6 :0 1 4 5 6 :0 1 5 7 6 :0 3 5 7 6 :0 4 5 7 6 :0 5 6 7 6 :0 5 7 9 6 :0 1 3 4 5 6 :0 1 3 4 7 6 :0 1 3 5 6 6 :0 1 3 5 7 6 :0 1 4 5 7 6 :0 1 4 6 7 6 :0 3 4 5 7 6 :0 1 4 7 9 6 :0 1 5 6 7 6 :0 1 5 7 9 6 :0 3 5 6 7 6 :0 4 5 6 7 6 :0 3 5 7 9 6 :0 4 5 7 9 6 :0 1 3 4 5 7 6 :0 1 3 4 6 7 6 :0 1 3 4 7 9 6 :0 1 3 5 6 7 6 :0 1 4 5 6 7 6 :0 3 4 5 6 7 6 :0 1 3 5 7 9 6 :0 1 4 5 7 9 6 :0 1 4 6 7 9 6 :0 3 4 5 7 9 6 :0 3 5 6 7 9 6 :0 4 5 6 7 9 6 :0 1 3 4 5 6 7 6 :0 1 3 4 5 7 9 6 :0 1 3 4 6 7 9 6 :0 1 4 5 6 7 9 6 :0 3 4 5 6 7 9 6 :0 1 3 4 5 6 7 9 6 7 :0 4 5 6 7 :0 3 4 5 6 7 :0 3 5 6 6 7 :0 4 5 6 6 7 :0 3 4 5 6 6 7 10 :0 3 5 6 9 :0 1 3 4 6 9 :0 1 4 9 6 9 :0 1 3 4 6 6 9 :0 1 3 4 9 6 9 11 :0 1 4 6 10 :0 1 3 5 6 11 :0 1 4 7 7 :0 2 4 5 7 :0 3 4 11 7 :0 4 5 11 7 :0 4 6 11 7 :0 2 3 4 8 7 :0 2 3 4 11 7 :0 2 3 5 6 7 :0 2 4 5 6 7 :0 3 4 5 11 7 :0 2 4 6 8 7 :0 2 3 6 11 7 :0 2 4 6 11 7 :0 3 4 6 11 7 :0 3 4 8 11 7 :0 3 5 6 8 7 :0 4 5 6 8 7 :0 2 3 4 5 11 7 :0 2 3 4 6 11 7 :0 2 3 4 8 11 7 :0 2 3 5 6 8 7 :0 2 3 5 6 11 7 :0 2 4 5 6 11 7 :0 3 4 5 6 11 7 :0 2 3 4 5 6 11 7 :0 2 3 5 6 8 11 7 :0 2 4 5 6 8 11 7 :0 3 4 5 6 8 11 7 9 :0 2 3 4 7 9 :0 2 4 6 7 9 :0 2 3 6 7 9 :0 2 3 4 6 7 9 10 :0 2 3 7 9 11 :0 2 4 7 10 :0 2 3 5 7 10 :0 2 3 11 7 10 :0 3 5 11 7 11 :0 4 11 7 11 :0 2 4 11 7 11 :0 4 8 11 7 11 :0 2 4 8 11 9 :0 2 4 9 9 :0 2 3 10 9 :0 1 2 3 4 9 :0 1 2 3 6 9 :0 1 2 4 6 9 :0 1 2 4 9 9 :0 2 3 4 9 9 :0 1 2 3 10 9 :0 1 3 4 10 9 :0 2 3 4 10 9 :0 1 2 9 10 9 :0 1 4 6 10 9 :0 2 3 6 10 9 :0 2 4 6 10 9 :0 1 4 9 10 9 :0 2 3 9 10 9 :0 2 4 9 10 9 :0 1 2 3 4 6 9 :0 1 2 3 4 9 9 :0 1 2 3 4 10 9 :0 2 3 4 6 9 9 :0 2 3 4 6 10 9 :0 1 2 3 9 10 9 :0 1 2 4 9 10 9 :0 1 3 4 9 10 9 :0 2 3 4 9 10 9 :0 1 2 3 4 6 10 9 :0 1 2 3 4 9 10 9 :0 1 2 3 6 9 10 9 10 :0 1 2 3 9 10 11 :0 1 2 9 11 :0 1 2 4 9 11 :0 1 4 10 9 11 :0 2 4 10 9 11 :0 1 2 4 10 10 :0 1 2 3 5 10 :0 1 2 3 11 10 :0 2 3 9 11 10 :0 1 2 3 5 11 10 :0 1 2 3 9 11 10 :0 1 2 3 5 9 11 10 :0 1 3 5 8 9 11 10 :0 2 3 5 8 9 11 11 :0 2 7 11 :0 1 2 7 11 :0 2 4 7 11 :0 1 4 11 11 :0 1 7 8 11 :0 2 7 8 11 :0 2 7 10 11 :0 2 7 11 11 :0 4 7 11 11 :0 4 10 11 11 :0 7 8 11 11 :0 1 2 4 7 11 :0 1 2 4 8 11 :0 1 2 4 11 11 :0 1 2 7 8 11 :0 1 2 7 10 11 :0 1 2 7 11 11 :0 1 4 7 8 11 :0 2 4 7 8 11 :0 1 4 7 10 11 :0 1 4 7 11 11 :0 1 4 8 10 11 :0 1 4 8 11 11 :0 2 4 7 10 11 :0 2 4 7 11 11 :0 2 4 8 10 11 :0 1 4 10 11 11 :0 2 4 10 11 11 :0 1 7 8 10 11 :0 1 7 8 11 11 :0 2 7 8 10 11 :0 2 7 8 11 11 :0 2 7 10 11 11 :0 4 7 8 11 11 :0 4 7 10 11 11 :0 4 8 10 11 11 :0 7 8 10 11 11 :0 1 2 4 7 8 11 :0 1 2 4 7 10 11 :0 1 2 4 7 11 11 :0 1 2 4 8 10 11 :0 1 2 4 10 11 11 :0 1 2 7 8 10 11 :0 1 2 7 8 11 11 :0 1 2 7 10 11 11 :0 1 4 7 8 10 11 :0 1 4 7 8 11 11 :0 1 4 7 10 11 11 :0 1 4 8 10 11 11 :0 2 4 7 8 10 11 :0 2 4 7 8 11 11 :0 2 4 7 10 11 11 :0 2 4 8 10 11 11 :0 1 7 8 10 11 11 :0 2 7 8 10 11 11 :0 4 7 8 10 11 11 :0 1 2 4 7 8 10 11 :0 1 2 4 7 8 11 11 :0 1 2 4 7 10 11 11 :0 1 2 4 8 10 11 11 :0 1 2 7 8 10 11 11 :0 1 4 7 8 10 11 11 :0 2 4 7 8 10 11 11 :0 1 2 4 7 8 10 11 Superset Chord Types by Root Set 0 :0 1 3 6 7 9 10 11 0 :0 1 2 3 6 7 9 10 11 0 :0 1 3 4 6 7 9 10 11 0 :0 1 3 5 6 7 9 10 11 0 :0 1 3 6 7 8 9 10 11 0 :0 1 2 3 5 6 7 9 10 11 0 :0 1 2 3 6 7 8 9 10 11 0 :0 1 3 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 4 10 :0 1 2 3 5 6 7 8 9 10 11 0 2 3 6 :0 1 3 4 5 6 7 8 9 10 11 0 3 :0 1 3 4 6 7 8 9 10 11 0 3 9 11 :0 1 2 3 4 6 7 8 9 10 11 0 6 :0 1 3 4 5 6 7 9 10 11 0 6 8 9 :0 1 2 3 4 5 6 7 9 10 11 0 9 :0 1 2 3 4 6 7 9 10 11 1 :0 2 3 5 6 8 9 10 11 1 :0 1 2 4 5 6 8 9 10 11 1 :0 1 2 5 6 7 8 9 10 11 1 :0 2 4 5 6 7 8 9 10 11 1 2 5 11 :0 1 2 4 5 6 7 8 9 10 11 1 3 4 7 :0 2 3 4 5 6 7 8 9 10 11 1 4 :0 2 3 5 6 7 8 9 10 11 1 7 :0 2 3 4 5 6 8 9 10 11 1 7 9 10 :0 1 2 3 4 5 6 8 9 10 11 1 10 :0 1 2 3 5 6 8 9 10 11 2 :0 1 4 5 7 8 9 10 11 2 :0 1 3 4 5 7 8 9 10 11 2 :0 1 4 5 6 7 8 9 10 11 2 8 10 11 :0 1 2 3 4 5 7 8 9 10 11 2 11 :0 1 2 4 5 7 8 9 10 11 3 :0 3 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 3 4 5 6 7 8 9 10 3 :0 3 4 6 7 8 9 10 11 3 :0 2 3 4 5 6 7 8 9 10 3 :0 2 3 4 6 7 8 9 10 11 3 :0 3 4 5 6 7 8 9 10 11 3 5 6 9 :0 1 2 3 4 5 6 7 8 9 10 3 6 :0 1 3 4 5 6 7 8 9 10 3 9 :0 1 2 3 4 6 7 8 9 10 4 :0 2 3 5 6 7 8 9 11 4 6 7 10 :0 1 2 3 4 5 6 7 8 9 11 4 7 :0 2 3 4 5 6 7 8 9 11 4 10 :0 1 2 3 5 6 7 8 9 11 5 :0 1 2 4 5 6 7 8 10 5 :0 1 2 3 4 5 6 7 8 10 5 :0 1 2 4 5 6 7 8 9 10 5 7 8 11 :0 1 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 9 6 :0 1 2 3 4 5 6 7 9 6 :0 1 3 4 5 6 7 9 10 6 :0 1 3 4 5 6 7 9 11 6 :0 1 2 3 4 5 6 7 8 9 6 :0 1 2 3 4 5 6 7 9 11 6 :0 1 3 4 5 6 7 8 9 11 6 9 :0 1 2 3 4 5 6 7 9 10 7 :0 2 3 4 5 6 7 8 11 7 :0 1 2 3 4 5 6 7 8 11 7 :0 1 2 3 4 5 6 8 10 11 7 :0 2 3 4 5 6 7 8 10 11 7 10 :0 1 2 3 4 5 6 8 9 11 8 :0 1 2 3 4 5 7 10 11 8 :0 1 2 3 4 5 6 7 10 11 8 :0 1 2 3 4 5 7 9 10 11 8 11 :0 1 2 3 4 5 7 8 10 11 9 :0 1 2 3 4 5 6 9 10 9 :0 1 2 3 4 6 7 9 10 9 :0 1 2 3 4 5 6 8 9 10 9 :0 1 2 3 4 5 6 9 10 11 9 :0 1 2 3 4 6 8 9 10 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 4 5 7 8 9 11 10 :0 1 2 3 4 5 8 9 10 11 10 :0 1 2 3 5 7 8 9 10 11 11 :0 1 2 4 7 8 10 11 11 :0 1 2 3 4 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 4 7 8 9 10 11 11 :0 1 2 3 4 6 7 8 10 11 11 :0 1 2 3 4 7 8 9 10 11 11 :0 1 2 4 6 7 8 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 3 6 7 9 10 11 = 0: 0 1 3 6 7 9 10 11 = 1: 0 2 5 6 8 9 10 11 = 3: 0 3 4 6 7 8 9 10 = 6: 0 1 3 4 5 6 7 9 = 7: 0 2 3 4 5 6 8 11 = 9: 0 1 2 3 4 6 9 10 = 10: 0 1 2 3 5 8 9 11 = 11: 0 1 2 4 7 8 10 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 0 6 9 10 11 = 0: 0 6 9 10 11 = 6: 0 3 4 5 6 = 9: 0 1 2 3 9 = 10: 0 1 2 8 11 = 11: 0 1 7 10 11 0 2 = maj. 2nd, dim., maj. 9th | 1 7 9 10 11 = 1: 0 6 8 9 10 = 7: 0 2 3 4 6 = 9: 0 1 2 4 10 = 10: 0 1 3 9 11 = 11: 0 2 8 10 11 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 3 6 7 9 10 = 0: 0 3 6 7 9 10 = 3: 0 3 4 6 7 9 = 6: 0 1 3 4 6 9 = 7: 0 2 3 5 8 11 = 9: 0 1 3 6 9 10 = 10: 0 2 5 8 9 11 0 4 = maj. 3rd, maj. 10th, dim. 4th | 3 6 7 9 11 = 3: 0 3 4 6 8 = 6: 0 1 3 5 9 = 7: 0 2 4 8 11 = 9: 0 2 6 9 10 = 11: 0 4 7 8 10 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 1 6 7 10 = 1: 0 5 6 9 = 6: 0 1 4 7 = 7: 0 3 6 11 = 10: 0 3 8 9 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 0 1 3 6 7 9 = 0: 0 1 3 6 7 9 = 1: 0 2 5 6 8 11 = 3: 0 3 4 6 9 10 = 6: 0 1 3 6 7 9 = 7: 0 2 5 6 8 11 = 9: 0 3 4 6 9 10 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 0 3 6 11 = 0: 0 3 6 11 = 3: 0 3 8 9 = 6: 0 5 6 9 = 11: 0 1 4 7 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 1 3 7 10 11 = 1: 0 2 6 9 10 = 3: 0 4 7 8 10 = 7: 0 3 4 6 8 = 10: 0 1 3 5 9 = 11: 0 2 4 8 11 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 1 3 6 9 10 = 0: 0 1 3 6 9 10 = 1: 0 2 5 8 9 11 = 3: 0 3 6 7 9 10 = 6: 0 3 4 6 7 9 = 9: 0 1 3 4 6 9 = 10: 0 2 3 5 8 11 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 1 3 9 11 = 0: 0 1 3 9 11 = 1: 0 2 8 10 11 = 3: 0 6 8 9 10 = 9: 0 2 3 4 6 = 11: 0 1 2 4 10 0 11 = maj. 7th, maj. 14th | 0 1 7 10 11 = 0: 0 1 7 10 11 = 1: 0 6 9 10 11 = 7: 0 3 4 5 6 = 10: 0 1 2 3 9 = 11: 0 1 2 8 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 | 0 6 9 10 = 0: 0 6 9 10 = 6: 0 3 4 6 = 9: 0 1 3 9 = 10: 0 2 8 11 0 1 4 | 6 9 11 = 6: 0 3 5 = 9: 0 2 9 = 11: 0 7 10 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 11 = 7: 0 2 4 = 9: 0 2 10 = 11: 0 8 10 0 3 4 | 3 6 7 9 = 3: 0 3 4 6 = 6: 0 1 3 9 = 7: 0 2 8 11 = 9: 0 6 9 10 Sus2 triads (Scale Degrees: 125) 0 1 7 | 0 6 11 = 0: 0 6 11 = 6: 0 5 6 = 11: 0 1 7 0 2 7 = sus2, 3 in 5ths | 11 = 11: 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 | 1 7 10 11 = 1: 0 6 9 10 = 7: 0 3 4 6 = 10: 0 1 3 9 = 11: 0 2 8 11 Scale Degrees: 134 0 3 5 | 6 7 10 = 6: 0 1 4 = 7: 0 3 11 = 10: 0 8 9 0 4 5 | 6 7 = 6: 0 1 = 7: 0 11 Triads (Scale Degrees: 135) 0 3 6 = dim. | 0 3 6 7 9 = 0: 0 3 6 7 9 = 3: 0 3 4 6 9 = 6: 0 1 3 6 9 = 7: 0 2 5 8 11 = 9: 0 3 6 9 10 0 3 7 = m = minor | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 0 4 6 = Mb5 | 3 6 7 9 = 3: 0 3 4 6 = 6: 0 1 3 9 = 7: 0 2 8 11 = 9: 0 6 9 10 0 4 7 = M = major | 3 6 11 = 3: 0 3 8 = 6: 0 5 9 = 11: 0 4 7 0 4 8 = + = augmented | 3 7 11 = 3: 0 4 8 = 7: 0 4 8 = 11: 0 4 8 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 0 3 6 9 10 = 0: 0 3 6 9 10 = 3: 0 3 6 7 9 = 6: 0 3 4 6 9 = 9: 0 1 3 6 9 = 10: 0 2 5 8 11 0 4 9 = M6 no 5th | 3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 3 11 = mM7 no 5th | 0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9 0 4 10 = 7 no 5th | 3 9 11 = 3: 0 6 8 = 9: 0 2 6 = 11: 0 4 10 0 4 11 = M7 no 5th | 7 11 = 7: 0 4 = 11: 0 8 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 6 = 6: 0 0 6 7 = sus#4, Viennese trichord | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 1 = 1: 0 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 3 11 = 3: 0 8 = 11: 0 4 0 7 9 | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 0 3 11 = 0: 0 3 11 = 3: 0 8 9 = 11: 0 1 4 0 7 11 = M power chord | 0 11 = 0: 0 11 = 11: 0 1 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 11 = 9: 0 2 = 11: 0 10 0 1 3 4 = 1st 4 aux dim. | 6 9 = 6: 0 3 = 9: 0 9 0 2 3 4 | 7 9 = 7: 0 2 = 9: 0 10 Scale Degrees: 1225 0 1 2 7 | 11 = 11: 0 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 6 10 = 6: 0 4 = 10: 0 8 0 1 4 5 = Greek chromatic tetrachord | 6 = 6: 0 0 2 3 5 = min. tetrachord | 7 10 = 7: 0 3 = 10: 0 9 0 2 4 5 = maj. tetrachord | 7 = 7: 0 0 2 4 6 = whole tone tetrachord | 7 9 = 7: 0 2 = 9: 0 10 0 3 4 5 | 6 7 = 6: 0 1 = 7: 0 11 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9 0 1 3 7 = m add b9, all-int | 0 6 = 0: 0 6 = 6: 0 6 0 1 4 7 = M add b9 | 6 11 = 6: 0 5 = 11: 0 7 0 2 3 6 = dim. add 9 | 7 9 = 7: 0 2 = 9: 0 10 0 2 4 7 = add9 , Mu chord | 11 = 11: 0 0 3 4 6 = Mb5 add #9 | 3 6 7 9 = 3: 0 3 4 6 = 6: 0 1 3 9 = 7: 0 2 8 11 = 9: 0 6 9 10 0 3 4 7 = add #9, maj-min chord | 3 6 = 3: 0 3 = 6: 0 9 0 3 4 8 = aug. add #9 | 3 7 = 3: 0 4 = 7: 0 8 6/9 chord no 5th (Scale Degrees: 1236) 0 1 4 9 | 6 9 = 6: 0 3 = 9: 0 9 0 2 4 9 | 9 = 9: 0 0 3 4 9 | 3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 0 9 = 0: 0 9 = 9: 0 3 0 1 3 11 = Mm7b9 no 5th | 0 10 = 0: 0 10 = 10: 0 2 0 1 4 10 = 7b9 no 5th | 9 11 = 9: 0 2 = 11: 0 10 0 1 4 11 = M7b9 no 5th | 11 = 11: 0 0 2 3 10 = m9 no 5th | 9 = 9: 0 0 2 3 11 = mM9 no 5th | 7 10 = 7: 0 3 = 10: 0 9 0 2 4 10 = 9 no 5th | 9 11 = 9: 0 2 = 11: 0 10 0 2 4 11 = M9 no 5th | 7 11 = 7: 0 4 = 11: 0 8 0 3 4 10 = 7#9 no 5th, Hendrix, all-int | 3 9 = 3: 0 6 = 9: 0 6 0 3 4 11 = M7#9 no 5th | 7 = 7: 0 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 5 7 | 6 = 6: 0 0 1 6 7 | 0 6 = 0: 0 6 = 6: 0 6 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 8 | 11 = 11: 0 0 1 7 9 = all-int | 0 6 = 0: 0 6 = 6: 0 6 0 2 7 8 | 11 = 11: 0 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 0 11 = 0: 0 11 = 11: 0 1 0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd | 0 11 = 0: 0 11 = 11: 0 1 0 2 7 10 = 9 no 3rd, m9 no 3rd | 11 = 11: 0 0 2 7 11 = M9 no 3rd, mM9 no 3rd | 11 = 11: 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 10 | 1 9 = 1: 0 8 = 9: 0 4 0 2 9 11 | 1 10 = 1: 0 9 = 10: 0 3 0 2 10 11 | 1 11 = 1: 0 10 = 11: 0 2 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 6 7 = 6: 0 1 = 7: 0 11 0 3 5 7 = m add 11 | 6 = 6: 0 0 3 6 7 = m add #11 | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 0 4 5 6 = Mb5 add 11 | 6 7 = 6: 0 1 = 7: 0 11 0 4 5 7 = M add 11 | 6 = 6: 0 0 4 6 7 = Madd#11, Jetsons, all-int | 3 6 = 3: 0 3 = 6: 0 9 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 11 = all-int | 7 10 = 7: 0 3 = 10: 0 9 0 4 5 11 | 7 = 7: 0 6th Chords (Scale Degrees: 1356) 0 3 6 9 = dim. 7, m6b5 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 7 8 = mb6 | 3 = 3: 0 0 3 7 9 = m6 , Tristan chord | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 0 4 7 8 = Mb6 | 3 11 = 3: 0 8 = 11: 0 4 0 4 7 9 = 6 | 3 6 = 3: 0 3 = 6: 0 9 7th Chords (Scale Degrees: 1357) 0 3 6 10 = m7b5, Tristan chord, half-dim. 7th | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 3 6 11 = mM7b5, dim. maj. 7th chord | 0 7 = 0: 0 7 = 7: 0 5 0 3 7 10 = m7 | 0 3 = 0: 0 3 = 3: 0 9 0 3 7 11 = mM7 | 0 = 0: 0 0 4 6 10 = 7b5, French aug. 6th chord | 3 9 = 3: 0 6 = 9: 0 6 0 4 6 11 = M7b5 | 7 = 7: 0 0 4 7 10 = 7, German aug. 6th chord | 3 11 = 3: 0 8 = 11: 0 4 0 4 7 11 = M7 | 11 = 11: 0 0 4 8 10 = 7#5 | 3 11 = 3: 0 8 = 11: 0 4 0 4 8 11 = M7#5 | 7 11 = 7: 0 4 = 11: 0 8 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 10 = m7/6 no 5th | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 3 9 11 = mM7/6 no 5th | 0 10 = 0: 0 10 = 10: 0 2 0 3 10 11 = mM7#6 no 5th | 0 = 0: 0 0 4 9 10 = 7/6 no 5th, all-int | 3 9 = 3: 0 6 = 9: 0 6 0 4 10 11 = M7/#6 no 5th | 11 = 11: 0 Scale Degrees: 1445 0 5 6 7 = dream chord | 6 = 6: 0 Scale Degrees: 1456 0 5 7 9 | 6 = 6: 0 0 6 7 8 | 3 = 3: 0 0 6 7 9 | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 Sus 4 7th Chords (Scale Degrees: 1457) 0 6 7 10 = 7sus#4, all-int | 0 3 = 0: 0 3 = 3: 0 9 0 6 7 11 = M7sus#4 | 0 = 0: 0 Scale Degrees: 1467 0 5 10 11 | 1 = 1: 0 Scale Degrees: 1566 0 7 8 9 | 3 = 3: 0 Scale Degrees: 1567 0 7 8 10 | 3 11 = 3: 0 8 = 11: 0 4 0 7 8 11 | 11 = 11: 0 0 7 9 10 | 0 3 = 0: 0 3 = 3: 0 9 0 7 9 11 | 0 = 0: 0 0 7 10 11 | 0 11 = 0: 0 11 = 11: 0 1 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 1 2 3 5 | 10 = 10: 0 0 1 2 3 6 | 9 = 9: 0 0 1 2 4 6 | 9 = 9: 0 0 1 3 4 5 | 6 = 6: 0 0 1 3 4 6 = auxdim. pentachord | 6 9 = 6: 0 3 = 9: 0 9 0 2 3 4 6 | 7 9 = 7: 0 2 = 9: 0 10 Scale Degrees: 12235 0 1 2 4 7 | 11 = 11: 0 0 1 2 4 8 | 11 = 11: 0 0 1 3 4 7 | 6 = 6: 0 0 2 3 4 8 | 7 = 7: 0 Scale Degrees: 12236 0 1 2 4 9 | 9 = 9: 0 0 1 3 4 9 | 6 9 = 6: 0 3 = 9: 0 9 0 2 3 4 9 | 9 = 9: 0 Scale Degrees: 12237 0 1 2 3 10 | 9 = 9: 0 0 1 2 3 11 | 10 = 10: 0 0 1 2 4 10 | 9 11 = 9: 0 2 = 11: 0 10 0 1 2 4 11 | 11 = 11: 0 0 1 3 4 10 | 9 = 9: 0 0 2 3 4 10 | 9 = 9: 0 0 2 3 4 11 | 7 = 7: 0 Scale Degrees: 12256 0 1 2 7 8 | 11 = 11: 0 Scale Degrees: 12257 0 1 2 7 10 | 11 = 11: 0 0 1 2 7 11 | 11 = 11: 0 Scale Degrees: 12267 0 1 2 9 10 | 9 = 9: 0 1st 5 notes of diamorphic scale (Scale Degrees: 12345) 0 1 3 5 6 = locrian pentachord | 6 = 6: 0 0 1 3 5 7 = phrygilocrian pentachord | 6 = 6: 0 0 1 3 6 7 | 0 6 = 0: 0 6 = 6: 0 6 0 1 4 5 7 = phrygian maj. pentachord | 6 = 6: 0 0 1 4 6 7 | 6 = 6: 0 0 2 3 5 6 | 7 = 7: 0 0 2 4 5 6 | 7 = 7: 0 0 3 4 5 6 | 6 7 = 6: 0 1 = 7: 0 11 0 3 4 5 7 | 6 = 6: 0 0 3 4 6 7 | 3 6 = 3: 0 3 = 6: 0 9 11th chords no 5th (Scale Degrees: 12347) 0 3 4 5 11 | 7 = 7: 0 6/9 chords (Scale Degrees: 12356) 0 1 3 6 9 | 0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9 0 1 3 7 9 | 0 6 = 0: 0 6 = 6: 0 6 0 1 4 7 8 = Bridge chord | 11 = 11: 0 0 1 4 7 9 = Elektra chord | 6 = 6: 0 0 2 4 6 8 = whole tone pentachord | 7 = 7: 0 0 2 4 7 8 | 11 = 11: 0 0 3 4 6 9 | 3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9 0 3 4 7 8 | 3 = 3: 0 0 3 4 7 9 = slendro | 3 6 = 3: 0 3 = 6: 0 9 9th chords (Scale Degrees: 12357) 0 1 3 6 10 = m7b5b9 | 0 9 = 0: 0 9 = 9: 0 3 0 1 3 6 11 = mM7b5b9 | 0 = 0: 0 0 1 3 7 10 = m7b9 | 0 = 0: 0 0 1 3 7 11 = mM7b9 | 0 = 0: 0 0 1 4 6 10 = 7b5b9 | 9 = 9: 0 0 1 4 7 10 = 7b9 | 11 = 11: 0 0 1 4 7 11 = M7b9 | 11 = 11: 0 0 1 4 8 10 = 7#5b9 | 11 = 11: 0 0 1 4 8 11 = M7#5b9 | 11 = 11: 0 0 2 3 6 10 = m9b5 | 9 = 9: 0 0 2 3 6 11 = mM9b5 | 7 = 7: 0 0 2 4 6 10 = 9b5, alt. chord | 9 = 9: 0 0 2 4 6 11 = M9b5 | 7 = 7: 0 0 2 4 7 10 = 9 | 11 = 11: 0 0 2 4 7 11 = M9 | 11 = 11: 0 0 2 4 8 10 = 9#5, alt. chord | 11 = 11: 0 0 2 4 8 11 = M9#5 | 7 11 = 7: 0 4 = 11: 0 8 0 3 4 6 10 = 7b5#9 | 3 9 = 3: 0 6 = 9: 0 6 0 3 4 6 11 = M7b5#9 | 7 = 7: 0 0 3 4 7 10 = 7#9 | 3 = 3: 0 0 3 4 8 10 = 7#5#9 | 3 = 3: 0 0 3 4 8 11 = M7#5#9 | 7 = 7: 0 13th chords no 5th no 11th (Scale Degrees: 12367) 0 1 3 9 10 = m13b9 no 5th no 11th | 0 9 = 0: 0 9 = 9: 0 3 0 1 3 9 11 = mM13b9 no 5th no 11th | 0 10 = 0: 0 10 = 10: 0 2 0 1 3 10 11 = mM#13b9 no 5th no 11th | 0 = 0: 0 0 1 4 9 10 = 13b9 no 5th no 11th | 9 = 9: 0 0 1 4 10 11 = 7#13b9 no 5th no 11th | 11 = 11: 0 0 2 3 9 10 = m13 no 5th no 11th | 9 = 9: 0 0 2 3 9 11 = M13 no 5th no 11th | 10 = 10: 0 0 2 4 9 10 = 13 no 5th no 11th | 9 = 9: 0 0 2 4 10 11 = M#13 no 5th no 11th | 11 = 11: 0 0 3 4 9 10 = 13#9 no 5th no 11th | 3 9 = 3: 0 6 = 9: 0 6 Scale Degrees: 12445 0 1 5 6 7 | 6 = 6: 0 Scale Degrees: 12456 0 1 5 7 9 | 6 = 6: 0 0 1 6 7 9 | 0 6 = 0: 0 6 = 6: 0 6 11th chords no 3rd (Scale Degrees: 12457) 0 1 6 7 10 | 0 = 0: 0 0 1 6 7 11 | 0 = 0: 0 13th chords no 3rd no 11th (Scale Degrees: 12567) 0 1 7 8 10 | 11 = 11: 0 0 1 7 8 11 | 11 = 11: 0 0 1 7 9 10 | 0 = 0: 0 0 1 7 9 11 | 0 = 0: 0 0 1 7 10 11 | 0 11 = 0: 0 11 = 11: 0 1 0 2 7 8 10 | 11 = 11: 0 0 2 7 8 11 | 11 = 11: 0 0 2 7 10 11 | 11 = 11: 0 Scale Degrees: 12667 0 2 9 10 11 | 1 = 1: 0 Scale Degrees: 13445 0 3 5 6 7 = blues pentachord | 6 = 6: 0 0 4 5 6 7 | 6 = 6: 0 Scale Degrees: 13456 0 3 5 6 8 | 7 = 7: 0 0 3 5 7 9 | 6 = 6: 0 0 3 6 7 8 | 3 = 3: 0 0 3 6 7 9 | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 0 4 5 6 8 | 7 = 7: 0 0 4 5 7 9 | 6 = 6: 0 0 4 6 7 8 | 3 = 3: 0 0 4 6 7 9 | 3 6 = 3: 0 3 = 6: 0 9 11th Chords no 9th (Scale Degrees: 13457) 0 3 6 7 10 = m7#11 no 9th, batti min. #4 | 0 3 = 0: 0 3 = 3: 0 9 0 3 6 7 11 = mM7#11 no 9th, batti min. 4/7# | 0 = 0: 0 0 4 6 7 10 = 7#11 no 9th | 3 = 3: 0 Scale Degrees: 13566 0 3 7 8 9 | 3 = 3: 0 0 4 7 8 9 | 3 = 3: 0 7/6 Chords (Scale Degrees: 13567) 0 3 6 10 11 = mM7b5#6 | 0 = 0: 0 0 3 7 8 10 = m7/b6 | 3 = 3: 0 0 3 7 9 10 = m7/6 | 0 3 = 0: 0 3 = 3: 0 9 0 3 7 9 11 = mM7/6 | 0 = 0: 0 0 3 7 10 11 = mM7/#6 | 0 = 0: 0 0 4 7 8 10 = 7/b6 | 3 11 = 3: 0 8 = 11: 0 4 0 4 7 8 11 = M7/b6 | 11 = 11: 0 0 4 7 9 10 = 7/6, boogie woogie | 3 = 3: 0 0 4 7 10 11 = M7#6 | 11 = 11: 0 0 4 8 9 10 = 7#5/6 | 3 = 3: 0 0 4 8 10 11 = M7#5/#6 | 11 = 11: 0 Scale Degrees: 13677 0 3 9 10 11 | 0 = 0: 0 Scale Degrees: 14566 0 6 7 8 9 | 3 = 3: 0 13th chords no 3rd no 9th (Scale Degrees: 14567) 0 6 7 8 10 | 3 = 3: 0 0 6 7 9 10 | 0 3 = 0: 0 3 = 3: 0 9 0 6 7 9 11 | 0 = 0: 0 0 6 7 10 11 | 0 = 0: 0 Scale Degrees: 15667 0 7 8 9 10 | 3 = 3: 0 0 7 8 10 11 | 11 = 11: 0 0 7 9 10 11 | 0 = 0: 0 Scale Degrees: 16677 0 8 9 10 11 | 1 = 1: 0 Scale Degrees: 122335 0 1 2 3 4 6 | 9 = 9: 0 Scale Degrees: 122336 0 1 2 3 4 9 | 9 = 9: 0 Scale Degrees: 122337 0 1 2 3 4 10 | 9 = 9: 0 Scale Degrees: 122345 0 1 3 4 5 7 | 6 = 6: 0 0 1 3 4 6 7 = Istrian | 6 = 6: 0 Scale Degrees: 122347 0 1 2 3 5 11 | 10 = 10: 0 0 2 3 4 5 11 | 7 = 7: 0 Scale Degrees: 122356 0 1 2 4 7 8 = all-tri hex | 11 = 11: 0 0 1 3 4 7 9 | 6 = 6: 0 0 2 3 4 6 9 | 9 = 9: 0 Scale Degrees: 122357 0 1 2 4 7 10 | 11 = 11: 0 0 1 2 4 7 11 | 11 = 11: 0 0 1 2 4 8 10 | 11 = 11: 0 0 2 3 4 6 10 | 9 = 9: 0 0 2 3 4 6 11 | 7 = 7: 0 0 2 3 4 8 11 | 7 = 7: 0 Scale Degrees: 122367 0 1 2 3 9 10 | 9 = 9: 0 0 1 2 3 9 11 | 10 = 10: 0 0 1 2 4 9 10 | 9 = 9: 0 0 1 2 4 10 11 | 11 = 11: 0 0 1 3 4 9 10 | 9 = 9: 0 0 2 3 4 9 10 | 9 = 9: 0 Scale Degrees: 122567 0 1 2 7 8 10 | 11 = 11: 0 0 1 2 7 8 11 | 11 = 11: 0 0 1 2 7 10 11 | 11 = 11: 0 Scale Degrees: 123445 0 1 3 5 6 7 | 6 = 6: 0 0 1 4 5 6 7 | 6 = 6: 0 0 3 4 5 6 7 | 6 = 6: 0 1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456) 0 1 3 5 7 9 | 6 = 6: 0 0 1 3 6 7 9 | 0 6 = 0: 0 6 = 6: 0 6 0 1 4 5 7 9 | 6 = 6: 0 0 1 4 6 7 9 | 6 = 6: 0 0 2 3 5 6 8 | 7 = 7: 0 0 3 4 5 7 9 = scale of harmonics | 6 = 6: 0 0 3 4 6 7 8 | 3 = 3: 0 0 3 4 6 7 9 | 3 6 = 3: 0 3 = 6: 0 9 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 3 6 7 10 = m#11b9 | 0 = 0: 0 0 1 3 6 7 11 = mM#11b9, all-tri hex | 0 = 0: 0 0 2 3 5 6 11 = mM#11 | 7 = 7: 0 0 2 4 5 6 11 = mM11b5 | 7 = 7: 0 0 3 4 5 6 11 = M11b5#9 | 7 = 7: 0 0 3 4 6 7 10 = 7#9#11 | 3 = 3: 0 Scale Degrees: 123566 0 3 4 7 8 9 | 3 = 3: 0 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 1 3 7 9 10 = m13b9 no 11th | 0 = 0: 0 0 1 3 7 9 11 = mM13b9 no 11th | 0 = 0: 0 0 1 3 7 10 11 = mM#13b9 no 11th | 0 = 0: 0 0 1 4 7 8 10 = 7b13b9 no 11th | 11 = 11: 0 0 1 4 7 8 11 = Mb13b9 no 11th | 11 = 11: 0 0 1 4 7 10 11 = M#13b9 no 11th | 11 = 11: 0 0 1 4 8 10 11 = M#13#5b9 no 11th | 11 = 11: 0 0 2 4 7 8 10 = 7b13 no 11th | 11 = 11: 0 0 2 4 7 8 11 = M7b13 no 11th | 11 = 11: 0 0 2 4 7 10 11 = M#13 no 11th | 11 = 11: 0 0 2 4 8 10 11 = M#13#5 no 11th | 11 = 11: 0 0 3 4 7 8 10 = 7b13#9 no 11th | 3 = 3: 0 0 3 4 7 9 10 = 13#9 no 11th | 3 = 3: 0 0 3 4 8 9 10 = M#13#5#9 no 11th, all-tri hex | 3 = 3: 0 Scale Degrees: 123667 0 1 3 9 10 11 | 0 = 0: 0 diamorphic scales no 3rd (Scale Degrees: 124567) 0 1 6 7 9 10 | 0 = 0: 0 0 1 6 7 9 11 | 0 = 0: 0 0 1 6 7 10 11 | 0 = 0: 0 Scale Degrees: 125667 0 1 7 8 10 11 | 11 = 11: 0 0 1 7 9 10 11 | 0 = 0: 0 0 2 7 8 10 11 | 11 = 11: 0 Scale Degrees: 134456 0 3 5 6 7 9 | 6 = 6: 0 0 4 5 6 7 9 | 6 = 6: 0 Scale Degrees: 134566 0 3 6 7 8 9 | 3 = 3: 0 0 4 6 7 8 9 | 3 = 3: 0 diamorphic scales no 2nd (Scale Degrees: 134567) 0 3 6 7 8 10 = m7#11b13 no 9th | 3 = 3: 0 0 3 6 7 9 10 = m13#11 no 9th | 0 3 = 0: 0 3 = 3: 0 9 0 3 6 7 9 11 = mM13#11 no 9th | 0 = 0: 0 0 3 6 7 10 11 = mM#13#11 no 9th | 0 = 0: 0 0 4 6 7 8 10 = 7#13#11 no 9th | 3 = 3: 0 0 4 6 7 9 10 = 13#11 no 9th | 3 = 3: 0 Scale Degrees: 135667 0 3 7 8 9 10 | 3 = 3: 0 0 3 7 9 10 11 | 0 = 0: 0 0 4 7 8 9 10 | 3 = 3: 0 0 4 7 8 10 11 | 11 = 11: 0 Scale Degrees: 145667 0 6 7 8 9 10 | 3 = 3: 0 0 6 7 9 10 11 | 0 = 0: 0 Scale Degrees: 1223357 0 1 2 3 4 6 10 | 9 = 9: 0 Scale Degrees: 1223367 0 1 2 3 4 9 10 | 9 = 9: 0 Scale Degrees: 1223445 0 1 3 4 5 6 7 | 6 = 6: 0 Scale Degrees: 1223456 0 1 3 4 5 7 9 | 6 = 6: 0 0 1 3 4 6 7 9 | 6 = 6: 0 Scale Degrees: 1223457 0 2 3 4 5 6 11 | 7 = 7: 0 Scale Degrees: 1223467 0 1 2 3 5 9 11 | 10 = 10: 0 Scale Degrees: 1223567 0 1 2 3 6 9 10 | 9 = 9: 0 0 1 2 4 7 8 10 | 11 = 11: 0 0 1 2 4 7 8 11 | 11 = 11: 0 0 1 2 4 7 10 11 | 11 = 11: 0 0 1 2 4 8 10 11 | 11 = 11: 0 Scale Degrees: 1225667 0 1 2 7 8 10 11 | 11 = 11: 0 Scale Degrees: 1234456 0 1 4 5 6 7 9 | 6 = 6: 0 0 3 4 5 6 7 9 | 6 = 6: 0 Scale Degrees: 1234566 0 3 4 6 7 8 9 = Sucharitra | 3 = 3: 0 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 3 5 8 9 11 = mM13#5b9 | 10 = 10: 0 0 1 3 6 7 9 10 = m13b9#11, Shadvidamargini | 0 = 0: 0 0 1 3 6 7 9 11 = mM13b9#11, Suvarnangi | 0 = 0: 0 0 1 3 6 7 10 11 = mM#13b9#11, Divyamani | 0 = 0: 0 0 2 3 5 6 8 11 = mMb13b5, locrian min. | 7 = 7: 0 0 2 3 5 8 9 11 = mM13#5 | 10 = 10: 0 0 2 4 5 6 8 11 = M7b13b5 | 7 = 7: 0 0 3 4 5 6 8 11 = M7b13b5#9 | 7 = 7: 0 0 3 4 6 7 8 10 = mb13b5#9, Jyoti swarupini | 3 = 3: 0 0 3 4 6 7 9 10 = 13#9#11, Hungarian maj. I, Naasikabhushini | 3 = 3: 0 0 3 4 6 8 9 10 = 13#5#9 | 3 = 3: 0 Scale Degrees: 1235667 0 1 3 7 9 10 11 | 0 = 0: 0 0 1 4 7 8 10 11 | 11 = 11: 0 0 2 4 7 8 10 11 | 11 = 11: 0 0 3 4 7 8 9 10 | 3 = 3: 0 Scale Degrees: 1245677 0 1 6 7 9 10 11 | 0 = 0: 0 Scale Degrees: 1345667 0 3 6 7 8 9 10 | 3 = 3: 0 0 3 6 7 9 10 11 | 0 = 0: 0 0 4 6 7 8 9 10 | 3 = 3: 0 Scale Degrees: 12234456 0 1 3 4 5 6 7 9 | 6 = 6: 0 Scale Degrees: 12235667 0 1 2 4 7 8 10 11 | 11 = 11: 0 diamorphic with supplementary 6th (Scale Degrees: 12345667) 0 1 3 6 7 9 10 11 | 0 = 0: 0 0 3 4 6 7 8 9 10 | 3 = 3: 0 Superset Chord Types By Family Chord Type Roots Scale Degrees: 12234456 0 1 3 4 5 6 7 9 | 6 = 6: 0 Scale Degrees: 12235667 0 1 2 4 7 8 10 11 | 11 = 11: 0 diamorphic with supplementary 6th (Scale Degrees: 12345667) 0 1 3 6 7 9 10 11 | 0 = 0: 0 0 3 4 6 7 8 9 10 | 3 = 3: 0 Scale Degrees: 122334456 0 1 2 3 4 5 6 7 9 | 6 = 6: 0 diamorphic with supplementary 2nd, 3rd (Scale Degrees: 122334567) 0 1 2 3 4 5 6 9 10 | 9 = 9: 0 0 1 2 3 4 5 7 10 11 | 8 = 8: 0 0 1 2 3 4 6 7 9 10 | 9 = 9: 0 Scale Degrees: 122335667 0 1 2 3 4 7 8 10 11 | 11 = 11: 0 diamorphic with supplementary 2nd, 4th (Scale Degrees: 122344567) 0 1 2 3 5 6 8 9 11 | 10 = 10: 0 0 1 2 4 5 6 7 8 10 | 5 = 5: 0 0 1 3 4 5 6 7 9 10 | 6 = 6: 0 0 1 3 4 5 6 7 9 11 | 6 = 6: 0 0 2 3 4 5 6 7 8 11 | 7 = 7: 0 diamorphic with supplementary 2nd, 6th (Scale Degrees: 122345667) 0 1 2 3 5 7 8 9 11 | 10 = 10: 0 0 1 2 3 6 7 9 10 11 | 0 = 0: 0 0 1 2 4 5 7 8 10 11 | 11 = 11: 0 0 1 2 4 6 7 8 10 11 | 11 = 11: 0 0 1 3 4 6 7 8 9 10 | 3 = 3: 0 0 1 3 4 6 7 9 10 11 | 0 = 0: 0 0 2 3 4 6 7 8 9 10 | 3 = 3: 0 Scale Degrees: 123356677 0 1 2 4 7 8 9 10 11 | 11 = 11: 0 diamorphic with supplementary 4th, 6th (Scale Degrees: 123445667) 0 2 3 5 6 7 8 9 11 | 4 = 4: 0 0 2 3 5 6 8 9 10 11 | 1 = 1: 0 diamorphic with supplementary 4th, 7th (Scale Degrees: 123445677) 0 1 3 5 6 7 9 10 11 | 0 = 0: 0 0 3 4 5 6 7 8 9 10 | 3 = 3: 0 diamorphic with supplementary 6th, 7th (Scale Degrees: 123456677) 0 1 3 6 7 8 9 10 11 | 0 = 0: 0 0 1 4 5 7 8 9 10 11 | 2 = 2: 0 0 3 4 6 7 8 9 10 11 | 3 = 3: 0 chromatic decachord (Scale Degrees: 1223344566) 0 1 2 3 4 5 6 7 8 9 = 1st 10 chromatics | 6 = 6: 0 diamorphic with supplementary 2nd, 3rd, 4th (Scale Degrees: 1223344567) 0 1 2 3 4 5 6 7 8 10 = whole tone & phrygian | 5 = 5: 0 0 1 2 3 4 5 6 7 8 11 | 7 = 7: 0 0 1 2 3 4 5 6 7 9 10 = auxdim. scale & dorian | 6 9 = 6: 0 3 = 9: 0 9 0 1 2 3 4 5 6 7 9 11 | 6 = 6: 0 0 1 2 3 4 5 6 7 10 11 | 8 = 8: 0 diamorphic with supplementary 2nd, 3rd, 6th (Scale Degrees: 1223345667) 0 1 2 3 4 5 6 8 9 10 | 9 = 9: 0 0 1 2 3 4 5 6 8 9 11 | 7 10 = 7: 0 3 = 10: 0 9 0 1 2 3 4 5 6 8 10 11 | 7 = 7: 0 0 1 2 3 4 5 6 9 10 11 | 9 = 9: 0 0 1 2 3 4 5 7 8 9 11 = 014589 & mel. min. | 10 = 10: 0 0 1 2 3 4 5 7 8 10 11 | 8 11 = 8: 0 3 = 11: 0 9 0 1 2 3 4 5 7 9 10 11 | 8 = 8: 0 0 1 2 3 4 5 8 9 10 11 | 10 = 10: 0 0 1 2 3 4 6 7 8 9 10 | 3 9 = 3: 0 6 = 9: 0 6 0 1 2 3 4 6 7 8 10 11 | 11 = 11: 0 0 1 2 3 4 6 7 9 10 11 = auxdim. scale & lydian | 0 9 = 0: 0 9 = 9: 0 3 0 1 2 3 4 6 8 9 10 11 | 9 = 9: 0 Scale Degrees: 1223356667 0 1 2 3 4 7 8 9 10 11 | 11 = 11: 0 diamorphic with supplementary 2nd, 4th, 6th (Scale Degrees: 1223445667) 0 1 2 3 5 6 7 8 9 11 | 4 10 = 4: 0 6 = 10: 0 6 0 1 2 3 5 6 7 9 10 11 = 12569A & mel. min. | 0 = 0: 0 0 1 2 3 5 6 8 9 10 11 = dim. scale & locrian | 1 10 = 1: 0 9 = 10: 0 3 0 1 2 4 5 6 7 8 9 10 | 5 = 5: 0 0 1 2 4 5 6 7 8 10 11 | 5 11 = 5: 0 6 = 11: 0 6 0 1 2 4 5 6 8 9 10 11 | 1 = 1: 0 0 1 3 4 5 6 7 8 9 10 = auxdim. scale & phrygian, 014589 & auxdim. scale | 3 6 = 3: 0 3 = 6: 0 9 0 1 3 4 5 6 7 8 9 11 | 6 = 6: 0 0 1 3 4 5 6 7 9 10 11 | 0 6 = 0: 0 6 = 6: 0 6 0 2 3 4 5 6 7 8 9 10 | 3 = 3: 0 0 2 3 4 5 6 7 8 9 11 = lydian & harm. min. | 4 7 = 4: 0 3 = 7: 0 9 0 2 3 4 5 6 7 8 10 11 | 7 = 7: 0 0 2 3 4 5 6 8 9 10 11 | 1 7 = 1: 0 6 = 7: 0 6 diamorphic with supplementary 2nd, 6th, 7th (Scale Degrees: 1223456677) 0 1 2 3 5 7 8 9 10 11 = phrygian & mel. min. | 10 = 10: 0 0 1 2 3 6 7 8 9 10 11 | 0 = 0: 0 0 1 2 4 5 7 8 9 10 11 = 014589 & bebop maj., Span. Gypsy & ionian | 2 11 = 2: 0 9 = 11: 0 3 0 1 2 4 6 7 8 9 10 11 | 11 = 11: 0 0 1 3 4 5 7 8 9 10 11 | 2 = 2: 0 0 1 3 4 6 7 8 9 10 11 = 03478B & auxdim. scale | 0 3 = 0: 0 3 = 3: 0 9 0 2 3 4 6 7 8 9 10 11 | 3 = 3: 0 Scale Degrees: 1224456677 0 1 2 5 6 7 8 9 10 11 | 1 = 1: 0 diamorphic with supplementary 4th, 6th, 7th (Scale Degrees: 1234456677) 0 1 3 5 6 7 8 9 10 11 | 0 = 0: 0 0 1 4 5 6 7 8 9 10 11 | 2 = 2: 0 0 2 3 5 6 7 8 9 10 11 = dim. scale & dorian | 1 4 = 1: 0 3 = 4: 0 9 0 2 4 5 6 7 8 9 10 11 = whole tone & ionian | 1 = 1: 0 0 3 4 5 6 7 8 9 10 11 | 3 = 3: 0 chromatic unidecachord = diamorphic with supplementary 2nd, 3rd, 4th, 6th (Scale Degrees: 12233445667) 0 1 2 3 4 5 6 7 8 9 10 = mixolocrian, 1st 11 chromatics | 3 5 6 9 = 3: 0 2 3 6 = 5: 0 1 4 10 = 6: 0 3 9 11 = 9: 0 6 8 9 0 1 2 3 4 5 6 7 8 9 11 | 4 6 7 10 = 4: 0 2 3 6 = 6: 0 1 4 10 = 7: 0 3 9 11 = 10: 0 6 8 9 0 1 2 3 4 5 6 7 8 10 11 | 5 7 8 11 = 5: 0 2 3 6 = 7: 0 1 4 10 = 8: 0 3 9 11 = 11: 0 6 8 9 0 1 2 3 4 5 6 7 9 10 11 = auxdim. scale & ionian | 0 6 8 9 = 0: 0 6 8 9 = 6: 0 2 3 6 = 8: 0 1 4 10 = 9: 0 3 9 11 diamorphic with supplementary 2nd, 3rd, 6th, 7th (Scale Degrees: 12233456677) 0 1 2 3 4 5 6 8 9 10 11 = 11 in 4ths | 1 7 9 10 = 1: 0 6 8 9 = 7: 0 2 3 6 = 9: 0 1 4 10 = 10: 0 3 9 11 0 1 2 3 4 5 7 8 9 10 11 = iophrygian, Spanish Gypsy & dorian, consonant-11 | 2 8 10 11 = 2: 0 6 8 9 = 8: 0 2 3 6 = 10: 0 1 4 10 = 11: 0 3 9 11 0 1 2 3 4 6 7 8 9 10 11 = 11 in 5ths, most stable 11 chord type | 0 3 9 11 = 0: 0 3 9 11 = 3: 0 6 8 9 = 9: 0 2 3 6 = 11: 0 1 4 10 diamorphic with supplementary 2nd, 4th, 6th, 7th (Scale Degrees: 12234456677) 0 1 2 3 5 6 7 8 9 10 11 = locrian & mel. min., dim. & phrygian | 0 1 4 10 = 0: 0 1 4 10 = 1: 0 3 9 11 = 4: 0 6 8 9 = 10: 0 2 3 6 0 1 2 4 5 6 7 8 9 10 11 = Northern lights chord | 1 2 5 11 = 1: 0 1 4 10 = 2: 0 3 9 11 = 5: 0 6 8 9 = 11: 0 2 3 6 0 1 3 4 5 6 7 8 9 10 11 | 0 2 3 6 = 0: 0 2 3 6 = 2: 0 1 4 10 = 3: 0 3 9 11 = 6: 0 6 8 9 0 2 3 4 5 6 7 8 9 10 11 = aeolydian, whole tone & dorian | 1 3 4 7 = 1: 0 2 3 6 = 3: 0 1 4 10 = 4: 0 3 9 11 = 7: 0 6 8 9 chromatic Scale = diamorphic with supplementary 2nd, 3rd, 4th, 6th, 7th (Scale Degrees: 122334456677) 0 1 2 3 4 5 6 7 8 9 10 11 = chromatic, dodecachord, 12 in 4ths, 12 in 5ths | 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Pitch Class Sets 0 = 0: 0 0 1 = 0: 0 1 = 1: 0 11 0 1 3 = 0: 0 1 3 = 1: 0 2 11 = 3: 0 9 10 0 1 3 6 = 0: 0 1 3 6 = 1: 0 2 5 11 = 3: 0 3 9 10 = 6: 0 6 7 9 0 1 3 6 7 = 0: 0 1 3 6 7 = 1: 0 2 5 6 11 = 3: 0 3 4 9 10 = 6: 0 1 6 7 9 = 7: 0 5 6 8 11 0 1 3 6 7 9 = 0: 0 1 3 6 7 9 = 1: 0 2 5 6 8 11 = 3: 0 3 4 6 9 10 = 6: 0 1 3 6 7 9 = 7: 0 2 5 6 8 11 = 9: 0 3 4 6 9 10 0 1 3 6 7 9 10 = 0: 0 1 3 6 7 9 10 = 1: 0 2 5 6 8 9 11 = 3: 0 3 4 6 7 9 10 = 6: 0 1 3 4 6 7 9 = 7: 0 2 3 5 6 8 11 = 9: 0 1 3 4 6 9 10 = 10: 0 2 3 5 8 9 11 0 1 3 6 7 9 10 11 = 0: 0 1 3 6 7 9 10 11 = 1: 0 2 5 6 8 9 10 11 = 3: 0 3 4 6 7 8 9 10 = 6: 0 1 3 4 5 6 7 9 = 7: 0 2 3 4 5 6 8 11 = 9: 0 1 2 3 4 6 9 10 = 10: 0 1 2 3 5 8 9 11 = 11: 0 1 2 4 7 8 10 11 0 1 3 6 7 9 11 = 0: 0 1 3 6 7 9 11 = 1: 0 2 5 6 8 10 11 = 3: 0 3 4 6 8 9 10 = 6: 0 1 3 5 6 7 9 = 7: 0 2 4 5 6 8 11 = 9: 0 2 3 4 6 9 10 = 11: 0 1 2 4 7 8 10 0 1 3 6 7 10 = 0: 0 1 3 6 7 10 = 1: 0 2 5 6 9 11 = 3: 0 3 4 7 9 10 = 6: 0 1 4 6 7 9 = 7: 0 3 5 6 8 11 = 10: 0 2 3 5 8 9 0 1 3 6 7 10 11 = 0: 0 1 3 6 7 10 11 = 1: 0 2 5 6 9 10 11 = 3: 0 3 4 7 8 9 10 = 6: 0 1 4 5 6 7 9 = 7: 0 3 4 5 6 8 11 = 10: 0 1 2 3 5 8 9 = 11: 0 1 2 4 7 8 11 0 1 3 6 7 11 = 0: 0 1 3 6 7 11 = 1: 0 2 5 6 10 11 = 3: 0 3 4 8 9 10 = 6: 0 1 5 6 7 9 = 7: 0 4 5 6 8 11 = 11: 0 1 2 4 7 8 0 1 3 6 9 = 0: 0 1 3 6 9 = 1: 0 2 5 8 11 = 3: 0 3 6 9 10 = 6: 0 3 6 7 9 = 9: 0 3 4 6 9 0 1 3 6 9 10 = 0: 0 1 3 6 9 10 = 1: 0 2 5 8 9 11 = 3: 0 3 6 7 9 10 = 6: 0 3 4 6 7 9 = 9: 0 1 3 4 6 9 = 10: 0 2 3 5 8 11 0 1 3 6 9 10 11 = 0: 0 1 3 6 9 10 11 = 1: 0 2 5 8 9 10 11 = 3: 0 3 6 7 8 9 10 = 6: 0 3 4 5 6 7 9 = 9: 0 1 2 3 4 6 9 = 10: 0 1 2 3 5 8 11 = 11: 0 1 2 4 7 10 11 0 1 3 6 9 11 = 0: 0 1 3 6 9 11 = 1: 0 2 5 8 10 11 = 3: 0 3 6 8 9 10 = 6: 0 3 5 6 7 9 = 9: 0 2 3 4 6 9 = 11: 0 1 2 4 7 10 0 1 3 6 10 = 0: 0 1 3 6 10 = 1: 0 2 5 9 11 = 3: 0 3 7 9 10 = 6: 0 4 6 7 9 = 10: 0 2 3 5 8 0 1 3 6 10 11 = 0: 0 1 3 6 10 11 = 1: 0 2 5 9 10 11 = 3: 0 3 7 8 9 10 = 6: 0 4 5 6 7 9 = 10: 0 1 2 3 5 8 = 11: 0 1 2 4 7 11 0 1 3 6 11 = 0: 0 1 3 6 11 = 1: 0 2 5 10 11 = 3: 0 3 8 9 10 = 6: 0 5 6 7 9 = 11: 0 1 2 4 7 0 1 3 7 = 0: 0 1 3 7 = 1: 0 2 6 11 = 3: 0 4 9 10 = 7: 0 5 6 8 0 1 3 7 9 = 0: 0 1 3 7 9 = 1: 0 2 6 8 11 = 3: 0 4 6 9 10 = 7: 0 2 5 6 8 = 9: 0 3 4 6 10 0 1 3 7 9 10 = 0: 0 1 3 7 9 10 = 1: 0 2 6 8 9 11 = 3: 0 4 6 7 9 10 = 7: 0 2 3 5 6 8 = 9: 0 1 3 4 6 10 = 10: 0 2 3 5 9 11 0 1 3 7 9 10 11 = 0: 0 1 3 7 9 10 11 = 1: 0 2 6 8 9 10 11 = 3: 0 4 6 7 8 9 10 = 7: 0 2 3 4 5 6 8 = 9: 0 1 2 3 4 6 10 = 10: 0 1 2 3 5 9 11 = 11: 0 1 2 4 8 10 11 0 1 3 7 9 11 = 0: 0 1 3 7 9 11 = 1: 0 2 6 8 10 11 = 3: 0 4 6 8 9 10 = 7: 0 2 4 5 6 8 = 9: 0 2 3 4 6 10 = 11: 0 1 2 4 8 10 0 1 3 7 10 = 0: 0 1 3 7 10 = 1: 0 2 6 9 11 = 3: 0 4 7 9 10 = 7: 0 3 5 6 8 = 10: 0 2 3 5 9 0 1 3 7 10 11 = 0: 0 1 3 7 10 11 = 1: 0 2 6 9 10 11 = 3: 0 4 7 8 9 10 = 7: 0 3 4 5 6 8 = 10: 0 1 2 3 5 9 = 11: 0 1 2 4 8 11 0 1 3 7 11 = 0: 0 1 3 7 11 = 1: 0 2 6 10 11 = 3: 0 4 8 9 10 = 7: 0 4 5 6 8 = 11: 0 1 2 4 8 0 1 3 9 = 0: 0 1 3 9 = 1: 0 2 8 11 = 3: 0 6 9 10 = 9: 0 3 4 6 0 1 3 9 10 = 0: 0 1 3 9 10 = 1: 0 2 8 9 11 = 3: 0 6 7 9 10 = 9: 0 1 3 4 6 = 10: 0 2 3 5 11 0 1 3 9 10 11 = 0: 0 1 3 9 10 11 = 1: 0 2 8 9 10 11 = 3: 0 6 7 8 9 10 = 9: 0 1 2 3 4 6 = 10: 0 1 2 3 5 11 = 11: 0 1 2 4 10 11 0 1 3 9 11 = 0: 0 1 3 9 11 = 1: 0 2 8 10 11 = 3: 0 6 8 9 10 = 9: 0 2 3 4 6 = 11: 0 1 2 4 10 0 1 3 10 = 0: 0 1 3 10 = 1: 0 2 9 11 = 3: 0 7 9 10 = 10: 0 2 3 5 0 1 3 10 11 = 0: 0 1 3 10 11 = 1: 0 2 9 10 11 = 3: 0 7 8 9 10 = 10: 0 1 2 3 5 = 11: 0 1 2 4 11 0 1 3 11 = 0: 0 1 3 11 = 1: 0 2 10 11 = 3: 0 8 9 10 = 11: 0 1 2 4 0 1 6 = 0: 0 1 6 = 1: 0 5 11 = 6: 0 6 7 0 1 6 7 = 0: 0 1 6 7 = 1: 0 5 6 11 = 6: 0 1 6 7 = 7: 0 5 6 11 0 1 6 7 9 = 0: 0 1 6 7 9 = 1: 0 5 6 8 11 = 6: 0 1 3 6 7 = 7: 0 2 5 6 11 = 9: 0 3 4 9 10 0 1 6 7 9 10 = 0: 0 1 6 7 9 10 = 1: 0 5 6 8 9 11 = 6: 0 1 3 4 6 7 = 7: 0 2 3 5 6 11 = 9: 0 1 3 4 9 10 = 10: 0 2 3 8 9 11 0 1 6 7 9 10 11 = 0: 0 1 6 7 9 10 11 = 1: 0 5 6 8 9 10 11 = 6: 0 1 3 4 5 6 7 = 7: 0 2 3 4 5 6 11 = 9: 0 1 2 3 4 9 10 = 10: 0 1 2 3 8 9 11 = 11: 0 1 2 7 8 10 11 0 1 6 7 9 11 = 0: 0 1 6 7 9 11 = 1: 0 5 6 8 10 11 = 6: 0 1 3 5 6 7 = 7: 0 2 4 5 6 11 = 9: 0 2 3 4 9 10 = 11: 0 1 2 7 8 10 0 1 6 7 10 = 0: 0 1 6 7 10 = 1: 0 5 6 9 11 = 6: 0 1 4 6 7 = 7: 0 3 5 6 11 = 10: 0 2 3 8 9 0 1 6 7 10 11 = 0: 0 1 6 7 10 11 = 1: 0 5 6 9 10 11 = 6: 0 1 4 5 6 7 = 7: 0 3 4 5 6 11 = 10: 0 1 2 3 8 9 = 11: 0 1 2 7 8 11 0 1 6 7 11 = 0: 0 1 6 7 11 = 1: 0 5 6 10 11 = 6: 0 1 5 6 7 = 7: 0 4 5 6 11 = 11: 0 1 2 7 8 0 1 6 9 = 0: 0 1 6 9 = 1: 0 5 8 11 = 6: 0 3 6 7 = 9: 0 3 4 9 0 1 6 9 10 = 0: 0 1 6 9 10 = 1: 0 5 8 9 11 = 6: 0 3 4 6 7 = 9: 0 1 3 4 9 = 10: 0 2 3 8 11 0 1 6 9 10 11 = 0: 0 1 6 9 10 11 = 1: 0 5 8 9 10 11 = 6: 0 3 4 5 6 7 = 9: 0 1 2 3 4 9 = 10: 0 1 2 3 8 11 = 11: 0 1 2 7 10 11 0 1 6 9 11 = 0: 0 1 6 9 11 = 1: 0 5 8 10 11 = 6: 0 3 5 6 7 = 9: 0 2 3 4 9 = 11: 0 1 2 7 10 0 1 6 10 = 0: 0 1 6 10 = 1: 0 5 9 11 = 6: 0 4 6 7 = 10: 0 2 3 8 0 1 6 10 11 = 0: 0 1 6 10 11 = 1: 0 5 9 10 11 = 6: 0 4 5 6 7 = 10: 0 1 2 3 8 = 11: 0 1 2 7 11 0 1 6 11 = 0: 0 1 6 11 = 1: 0 5 10 11 = 6: 0 5 6 7 = 11: 0 1 2 7 0 1 7 = 0: 0 1 7 = 1: 0 6 11 = 7: 0 5 6 0 1 7 9 = 0: 0 1 7 9 = 1: 0 6 8 11 = 7: 0 2 5 6 = 9: 0 3 4 10 0 1 7 9 10 = 0: 0 1 7 9 10 = 1: 0 6 8 9 11 = 7: 0 2 3 5 6 = 9: 0 1 3 4 10 = 10: 0 2 3 9 11 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 0 1 7 9 11 = 0: 0 1 7 9 11 = 1: 0 6 8 10 11 = 7: 0 2 4 5 6 = 9: 0 2 3 4 10 = 11: 0 1 2 8 10 0 1 7 10 = 0: 0 1 7 10 = 1: 0 6 9 11 = 7: 0 3 5 6 = 10: 0 2 3 9 0 1 7 10 11 = 0: 0 1 7 10 11 = 1: 0 6 9 10 11 = 7: 0 3 4 5 6 = 10: 0 1 2 3 9 = 11: 0 1 2 8 11 0 1 7 11 = 0: 0 1 7 11 = 1: 0 6 10 11 = 7: 0 4 5 6 = 11: 0 1 2 8 0 1 9 = 0: 0 1 9 = 1: 0 8 11 = 9: 0 3 4 0 1 9 10 = 0: 0 1 9 10 = 1: 0 8 9 11 = 9: 0 1 3 4 = 10: 0 2 3 11 0 1 9 10 11 = 0: 0 1 9 10 11 = 1: 0 8 9 10 11 = 9: 0 1 2 3 4 = 10: 0 1 2 3 11 = 11: 0 1 2 10 11 0 1 9 11 = 0: 0 1 9 11 = 1: 0 8 10 11 = 9: 0 2 3 4 = 11: 0 1 2 10 0 1 10 = 0: 0 1 10 = 1: 0 9 11 = 10: 0 2 3 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 0 3 = 0: 0 3 = 3: 0 9 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 0 3 6 7 = 0: 0 3 6 7 = 3: 0 3 4 9 = 6: 0 1 6 9 = 7: 0 5 8 11 0 3 6 7 9 = 0: 0 3 6 7 9 = 3: 0 3 4 6 9 = 6: 0 1 3 6 9 = 7: 0 2 5 8 11 = 9: 0 3 6 9 10 0 3 6 7 9 10 = 0: 0 3 6 7 9 10 = 3: 0 3 4 6 7 9 = 6: 0 1 3 4 6 9 = 7: 0 2 3 5 8 11 = 9: 0 1 3 6 9 10 = 10: 0 2 5 8 9 11 0 3 6 7 9 10 11 = 0: 0 3 6 7 9 10 11 = 3: 0 3 4 6 7 8 9 = 6: 0 1 3 4 5 6 9 = 7: 0 2 3 4 5 8 11 = 9: 0 1 2 3 6 9 10 = 10: 0 1 2 5 8 9 11 = 11: 0 1 4 7 8 10 11 0 3 6 7 9 11 = 0: 0 3 6 7 9 11 = 3: 0 3 4 6 8 9 = 6: 0 1 3 5 6 9 = 7: 0 2 4 5 8 11 = 9: 0 2 3 6 9 10 = 11: 0 1 4 7 8 10 0 3 6 7 10 = 0: 0 3 6 7 10 = 3: 0 3 4 7 9 = 6: 0 1 4 6 9 = 7: 0 3 5 8 11 = 10: 0 2 5 8 9 0 3 6 7 10 11 = 0: 0 3 6 7 10 11 = 3: 0 3 4 7 8 9 = 6: 0 1 4 5 6 9 = 7: 0 3 4 5 8 11 = 10: 0 1 2 5 8 9 = 11: 0 1 4 7 8 11 0 3 6 7 11 = 0: 0 3 6 7 11 = 3: 0 3 4 8 9 = 6: 0 1 5 6 9 = 7: 0 4 5 8 11 = 11: 0 1 4 7 8 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 6 9 10 = 0: 0 3 6 9 10 = 3: 0 3 6 7 9 = 6: 0 3 4 6 9 = 9: 0 1 3 6 9 = 10: 0 2 5 8 11 0 3 6 9 10 11 = 0: 0 3 6 9 10 11 = 3: 0 3 6 7 8 9 = 6: 0 3 4 5 6 9 = 9: 0 1 2 3 6 9 = 10: 0 1 2 5 8 11 = 11: 0 1 4 7 10 11 0 3 6 9 11 = 0: 0 3 6 9 11 = 3: 0 3 6 8 9 = 6: 0 3 5 6 9 = 9: 0 2 3 6 9 = 11: 0 1 4 7 10 0 3 6 10 = 0: 0 3 6 10 = 3: 0 3 7 9 = 6: 0 4 6 9 = 10: 0 2 5 8 0 3 6 10 11 = 0: 0 3 6 10 11 = 3: 0 3 7 8 9 = 6: 0 4 5 6 9 = 10: 0 1 2 5 8 = 11: 0 1 4 7 11 0 3 6 11 = 0: 0 3 6 11 = 3: 0 3 8 9 = 6: 0 5 6 9 = 11: 0 1 4 7 0 3 7 = 0: 0 3 7 = 3: 0 4 9 = 7: 0 5 8 0 3 7 9 = 0: 0 3 7 9 = 3: 0 4 6 9 = 7: 0 2 5 8 = 9: 0 3 6 10 0 3 7 9 10 = 0: 0 3 7 9 10 = 3: 0 4 6 7 9 = 7: 0 2 3 5 8 = 9: 0 1 3 6 10 = 10: 0 2 5 9 11 0 3 7 9 10 11 = 0: 0 3 7 9 10 11 = 3: 0 4 6 7 8 9 = 7: 0 2 3 4 5 8 = 9: 0 1 2 3 6 10 = 10: 0 1 2 5 9 11 = 11: 0 1 4 8 10 11 0 3 7 9 11 = 0: 0 3 7 9 11 = 3: 0 4 6 8 9 = 7: 0 2 4 5 8 = 9: 0 2 3 6 10 = 11: 0 1 4 8 10 0 3 7 10 = 0: 0 3 7 10 = 3: 0 4 7 9 = 7: 0 3 5 8 = 10: 0 2 5 9 0 3 7 10 11 = 0: 0 3 7 10 11 = 3: 0 4 7 8 9 = 7: 0 3 4 5 8 = 10: 0 1 2 5 9 = 11: 0 1 4 8 11 0 3 7 11 = 0: 0 3 7 11 = 3: 0 4 8 9 = 7: 0 4 5 8 = 11: 0 1 4 8 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 3 9 10 = 0: 0 3 9 10 = 3: 0 6 7 9 = 9: 0 1 3 6 = 10: 0 2 5 11 0 3 9 10 11 = 0: 0 3 9 10 11 = 3: 0 6 7 8 9 = 9: 0 1 2 3 6 = 10: 0 1 2 5 11 = 11: 0 1 4 10 11 0 3 9 11 = 0: 0 3 9 11 = 3: 0 6 8 9 = 9: 0 2 3 6 = 11: 0 1 4 10 0 3 10 = 0: 0 3 10 = 3: 0 7 9 = 10: 0 2 5 0 3 10 11 = 0: 0 3 10 11 = 3: 0 7 8 9 = 10: 0 1 2 5 = 11: 0 1 4 11 0 3 11 = 0: 0 3 11 = 3: 0 8 9 = 11: 0 1 4 0 6 = 0: 0 6 = 6: 0 6 0 6 7 = 0: 0 6 7 = 6: 0 1 6 = 7: 0 5 11 0 6 7 9 = 0: 0 6 7 9 = 6: 0 1 3 6 = 7: 0 2 5 11 = 9: 0 3 9 10 0 6 7 9 10 = 0: 0 6 7 9 10 = 6: 0 1 3 4 6 = 7: 0 2 3 5 11 = 9: 0 1 3 9 10 = 10: 0 2 8 9 11 0 6 7 9 10 11 = 0: 0 6 7 9 10 11 = 6: 0 1 3 4 5 6 = 7: 0 2 3 4 5 11 = 9: 0 1 2 3 9 10 = 10: 0 1 2 8 9 11 = 11: 0 1 7 8 10 11 0 6 7 9 11 = 0: 0 6 7 9 11 = 6: 0 1 3 5 6 = 7: 0 2 4 5 11 = 9: 0 2 3 9 10 = 11: 0 1 7 8 10 0 6 7 10 = 0: 0 6 7 10 = 6: 0 1 4 6 = 7: 0 3 5 11 = 10: 0 2 8 9 0 6 7 10 11 = 0: 0 6 7 10 11 = 6: 0 1 4 5 6 = 7: 0 3 4 5 11 = 10: 0 1 2 8 9 = 11: 0 1 7 8 11 0 6 7 11 = 0: 0 6 7 11 = 6: 0 1 5 6 = 7: 0 4 5 11 = 11: 0 1 7 8 0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9 0 6 9 10 = 0: 0 6 9 10 = 6: 0 3 4 6 = 9: 0 1 3 9 = 10: 0 2 8 11 0 6 9 10 11 = 0: 0 6 9 10 11 = 6: 0 3 4 5 6 = 9: 0 1 2 3 9 = 10: 0 1 2 8 11 = 11: 0 1 7 10 11 0 6 9 11 = 0: 0 6 9 11 = 6: 0 3 5 6 = 9: 0 2 3 9 = 11: 0 1 7 10 0 6 10 = 0: 0 6 10 = 6: 0 4 6 = 10: 0 2 8 0 6 10 11 = 0: 0 6 10 11 = 6: 0 4 5 6 = 10: 0 1 2 8 = 11: 0 1 7 11 0 6 11 = 0: 0 6 11 = 6: 0 5 6 = 11: 0 1 7 0 7 = 0: 0 7 = 7: 0 5 0 7 9 = 0: 0 7 9 = 7: 0 2 5 = 9: 0 3 10 0 7 9 10 = 0: 0 7 9 10 = 7: 0 2 3 5 = 9: 0 1 3 10 = 10: 0 2 9 11 0 7 9 10 11 = 0: 0 7 9 10 11 = 7: 0 2 3 4 5 = 9: 0 1 2 3 10 = 10: 0 1 2 9 11 = 11: 0 1 8 10 11 0 7 9 11 = 0: 0 7 9 11 = 7: 0 2 4 5 = 9: 0 2 3 10 = 11: 0 1 8 10 0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9 0 7 10 11 = 0: 0 7 10 11 = 7: 0 3 4 5 = 10: 0 1 2 9 = 11: 0 1 8 11 0 7 11 = 0: 0 7 11 = 7: 0 4 5 = 11: 0 1 8 0 9 = 0: 0 9 = 9: 0 3 0 9 10 = 0: 0 9 10 = 9: 0 1 3 = 10: 0 2 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 0 9 11 = 0: 0 9 11 = 9: 0 2 3 = 11: 0 1 10 0 10 = 0: 0 10 = 10: 0 2 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 11 = 0: 0 11 = 11: 0 1 1 = 1: 0 1 3 = 1: 0 2 = 3: 0 10 1 3 6 = 1: 0 2 5 = 3: 0 3 10 = 6: 0 7 9 1 3 6 7 = 1: 0 2 5 6 = 3: 0 3 4 10 = 6: 0 1 7 9 = 7: 0 6 8 11 1 3 6 7 9 = 1: 0 2 5 6 8 = 3: 0 3 4 6 10 = 6: 0 1 3 7 9 = 7: 0 2 6 8 11 = 9: 0 4 6 9 10 1 3 6 7 9 10 = 1: 0 2 5 6 8 9 = 3: 0 3 4 6 7 10 = 6: 0 1 3 4 7 9 = 7: 0 2 3 6 8 11 = 9: 0 1 4 6 9 10 = 10: 0 3 5 8 9 11 1 3 6 7 9 10 11 = 1: 0 2 5 6 8 9 10 = 3: 0 3 4 6 7 8 10 = 6: 0 1 3 4 5 7 9 = 7: 0 2 3 4 6 8 11 = 9: 0 1 2 4 6 9 10 = 10: 0 1 3 5 8 9 11 = 11: 0 2 4 7 8 10 11 1 3 6 7 9 11 = 1: 0 2 5 6 8 10 = 3: 0 3 4 6 8 10 = 6: 0 1 3 5 7 9 = 7: 0 2 4 6 8 11 = 9: 0 2 4 6 9 10 = 11: 0 2 4 7 8 10 1 3 6 7 10 = 1: 0 2 5 6 9 = 3: 0 3 4 7 10 = 6: 0 1 4 7 9 = 7: 0 3 6 8 11 = 10: 0 3 5 8 9 1 3 6 7 10 11 = 1: 0 2 5 6 9 10 = 3: 0 3 4 7 8 10 = 6: 0 1 4 5 7 9 = 7: 0 3 4 6 8 11 = 10: 0 1 3 5 8 9 = 11: 0 2 4 7 8 11 1 3 6 7 11 = 1: 0 2 5 6 10 = 3: 0 3 4 8 10 = 6: 0 1 5 7 9 = 7: 0 4 6 8 11 = 11: 0 2 4 7 8 1 3 6 9 = 1: 0 2 5 8 = 3: 0 3 6 10 = 6: 0 3 7 9 = 9: 0 4 6 9 1 3 6 9 10 = 1: 0 2 5 8 9 = 3: 0 3 6 7 10 = 6: 0 3 4 7 9 = 9: 0 1 4 6 9 = 10: 0 3 5 8 11 1 3 6 9 10 11 = 1: 0 2 5 8 9 10 = 3: 0 3 6 7 8 10 = 6: 0 3 4 5 7 9 = 9: 0 1 2 4 6 9 = 10: 0 1 3 5 8 11 = 11: 0 2 4 7 10 11 1 3 6 9 11 = 1: 0 2 5 8 10 = 3: 0 3 6 8 10 = 6: 0 3 5 7 9 = 9: 0 2 4 6 9 = 11: 0 2 4 7 10 1 3 6 10 = 1: 0 2 5 9 = 3: 0 3 7 10 = 6: 0 4 7 9 = 10: 0 3 5 8 1 3 6 10 11 = 1: 0 2 5 9 10 = 3: 0 3 7 8 10 = 6: 0 4 5 7 9 = 10: 0 1 3 5 8 = 11: 0 2 4 7 11 1 3 6 11 = 1: 0 2 5 10 = 3: 0 3 8 10 = 6: 0 5 7 9 = 11: 0 2 4 7 1 3 7 = 1: 0 2 6 = 3: 0 4 10 = 7: 0 6 8 1 3 7 9 = 1: 0 2 6 8 = 3: 0 4 6 10 = 7: 0 2 6 8 = 9: 0 4 6 10 1 3 7 9 10 = 1: 0 2 6 8 9 = 3: 0 4 6 7 10 = 7: 0 2 3 6 8 = 9: 0 1 4 6 10 = 10: 0 3 5 9 11 1 3 7 9 10 11 = 1: 0 2 6 8 9 10 = 3: 0 4 6 7 8 10 = 7: 0 2 3 4 6 8 = 9: 0 1 2 4 6 10 = 10: 0 1 3 5 9 11 = 11: 0 2 4 8 10 11 1 3 7 9 11 = 1: 0 2 6 8 10 = 3: 0 4 6 8 10 = 7: 0 2 4 6 8 = 9: 0 2 4 6 10 = 11: 0 2 4 8 10 1 3 7 10 = 1: 0 2 6 9 = 3: 0 4 7 10 = 7: 0 3 6 8 = 10: 0 3 5 9 1 3 7 10 11 = 1: 0 2 6 9 10 = 3: 0 4 7 8 10 = 7: 0 3 4 6 8 = 10: 0 1 3 5 9 = 11: 0 2 4 8 11 1 3 7 11 = 1: 0 2 6 10 = 3: 0 4 8 10 = 7: 0 4 6 8 = 11: 0 2 4 8 1 3 9 = 1: 0 2 8 = 3: 0 6 10 = 9: 0 4 6 1 3 9 10 = 1: 0 2 8 9 = 3: 0 6 7 10 = 9: 0 1 4 6 = 10: 0 3 5 11 1 3 9 10 11 = 1: 0 2 8 9 10 = 3: 0 6 7 8 10 = 9: 0 1 2 4 6 = 10: 0 1 3 5 11 = 11: 0 2 4 10 11 1 3 9 11 = 1: 0 2 8 10 = 3: 0 6 8 10 = 9: 0 2 4 6 = 11: 0 2 4 10 1 3 10 = 1: 0 2 9 = 3: 0 7 10 = 10: 0 3 5 1 3 10 11 = 1: 0 2 9 10 = 3: 0 7 8 10 = 10: 0 1 3 5 = 11: 0 2 4 11 1 3 11 = 1: 0 2 10 = 3: 0 8 10 = 11: 0 2 4 1 6 = 1: 0 5 = 6: 0 7 1 6 7 = 1: 0 5 6 = 6: 0 1 7 = 7: 0 6 11 1 6 7 9 = 1: 0 5 6 8 = 6: 0 1 3 7 = 7: 0 2 6 11 = 9: 0 4 9 10 1 6 7 9 10 = 1: 0 5 6 8 9 = 6: 0 1 3 4 7 = 7: 0 2 3 6 11 = 9: 0 1 4 9 10 = 10: 0 3 8 9 11 1 6 7 9 10 11 = 1: 0 5 6 8 9 10 = 6: 0 1 3 4 5 7 = 7: 0 2 3 4 6 11 = 9: 0 1 2 4 9 10 = 10: 0 1 3 8 9 11 = 11: 0 2 7 8 10 11 1 6 7 9 11 = 1: 0 5 6 8 10 = 6: 0 1 3 5 7 = 7: 0 2 4 6 11 = 9: 0 2 4 9 10 = 11: 0 2 7 8 10 1 6 7 10 = 1: 0 5 6 9 = 6: 0 1 4 7 = 7: 0 3 6 11 = 10: 0 3 8 9 1 6 7 10 11 = 1: 0 5 6 9 10 = 6: 0 1 4 5 7 = 7: 0 3 4 6 11 = 10: 0 1 3 8 9 = 11: 0 2 7 8 11 1 6 7 11 = 1: 0 5 6 10 = 6: 0 1 5 7 = 7: 0 4 6 11 = 11: 0 2 7 8 1 6 9 = 1: 0 5 8 = 6: 0 3 7 = 9: 0 4 9 1 6 9 10 = 1: 0 5 8 9 = 6: 0 3 4 7 = 9: 0 1 4 9 = 10: 0 3 8 11 1 6 9 10 11 = 1: 0 5 8 9 10 = 6: 0 3 4 5 7 = 9: 0 1 2 4 9 = 10: 0 1 3 8 11 = 11: 0 2 7 10 11 1 6 9 11 = 1: 0 5 8 10 = 6: 0 3 5 7 = 9: 0 2 4 9 = 11: 0 2 7 10 1 6 10 = 1: 0 5 9 = 6: 0 4 7 = 10: 0 3 8 1 6 10 11 = 1: 0 5 9 10 = 6: 0 4 5 7 = 10: 0 1 3 8 = 11: 0 2 7 11 1 6 11 = 1: 0 5 10 = 6: 0 5 7 = 11: 0 2 7 1 7 = 1: 0 6 = 7: 0 6 1 7 9 = 1: 0 6 8 = 7: 0 2 6 = 9: 0 4 10 1 7 9 10 = 1: 0 6 8 9 = 7: 0 2 3 6 = 9: 0 1 4 10 = 10: 0 3 9 11 1 7 9 10 11 = 1: 0 6 8 9 10 = 7: 0 2 3 4 6 = 9: 0 1 2 4 10 = 10: 0 1 3 9 11 = 11: 0 2 8 10 11 1 7 9 11 = 1: 0 6 8 10 = 7: 0 2 4 6 = 9: 0 2 4 10 = 11: 0 2 8 10 1 7 10 = 1: 0 6 9 = 7: 0 3 6 = 10: 0 3 9 1 7 10 11 = 1: 0 6 9 10 = 7: 0 3 4 6 = 10: 0 1 3 9 = 11: 0 2 8 11 1 7 11 = 1: 0 6 10 = 7: 0 4 6 = 11: 0 2 8 1 9 = 1: 0 8 = 9: 0 4 1 9 10 = 1: 0 8 9 = 9: 0 1 4 = 10: 0 3 11 1 9 10 11 = 1: 0 8 9 10 = 9: 0 1 2 4 = 10: 0 1 3 11 = 11: 0 2 10 11 1 9 11 = 1: 0 8 10 = 9:

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

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

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

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

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

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

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

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	1 6 7 10 = 1: 0 5 6 9 = 6: 0 1 4 7 = 7: 0 3 6 11 = 10: 0 3 8 9
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th	\|	0 1 3 6 7 9 = 0: 0 1 3 6 7 9 = 1: 0 2 5 6 8 11 = 3: 0 3 4 6 9 10 = 6: 0 1 3 6 7 9 = 7: 0 2 5 6 8 11 = 9: 0 3 4 6 9 10

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	0 3 6 11 = 0: 0 3 6 11 = 3: 0 3 8 9 = 6: 0 5 6 9 = 11: 0 1 4 7

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

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

Sus2 triads (Scale Degrees: 125)
0 1 7	\|	0 6 11 = 0: 0 6 11 = 6: 0 5 6 = 11: 0 1 7
0 2 7 = sus2, 3 in 5ths	\|	11 = 11: 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	\|	1 7 10 11 = 1: 0 6 9 10 = 7: 0 3 4 6 = 10: 0 1 3 9 = 11: 0 2 8 11

Scale Degrees: 134
0 3 5	\|	6 7 10 = 6: 0 1 4 = 7: 0 3 11 = 10: 0 8 9
0 4 5	\|	6 7 = 6: 0 1 = 7: 0 11

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	0 3 6 7 9 = 0: 0 3 6 7 9 = 3: 0 3 4 6 9 = 6: 0 1 3 6 9 = 7: 0 2 5 8 11 = 9: 0 3 6 9 10
0 3 7 = m = minor	\|	0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9
0 4 6 = Mb5	\|	3 6 7 9 = 3: 0 3 4 6 = 6: 0 1 3 9 = 7: 0 2 8 11 = 9: 0 6 9 10
0 4 7 = M = major	\|	3 6 11 = 3: 0 3 8 = 6: 0 5 9 = 11: 0 4 7
0 4 8 = + = augmented	\|	3 7 11 = 3: 0 4 8 = 7: 0 4 8 = 11: 0 4 8

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	0 3 6 9 10 = 0: 0 3 6 9 10 = 3: 0 3 6 7 9 = 6: 0 3 4 6 9 = 9: 0 1 3 6 9 = 10: 0 2 5 8 11
0 4 9 = M6 no 5th	\|	3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9

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

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

7sus chords no 5th (Scale Degrees: 147)
0 5 10 = 3 in 4ths	\|	1 = 1: 0

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	3 11 = 3: 0 8 = 11: 0 4
0 7 9	\|	0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9

7th chords no 3rd (Scale Degrees: 157)
0 7 10 = m power chord	\|	0 3 11 = 0: 0 3 11 = 3: 0 8 9 = 11: 0 1 4
0 7 11 = M power chord	\|	0 11 = 0: 0 11 = 11: 0 1

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 11 = 9: 0 2 = 11: 0 10
0 1 3 4 = 1st 4 aux dim.	\|	6 9 = 6: 0 3 = 9: 0 9
0 2 3 4	\|	7 9 = 7: 0 2 = 9: 0 10

Scale Degrees: 1225
0 1 2 7	\|	11 = 11: 0

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

Add 9 Chords (Scale Degrees: 1235)
0 1 3 6 = dim. add b9	\|	0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9
0 1 3 7 = m add b9, all-int	\|	0 6 = 0: 0 6 = 6: 0 6
0 1 4 7 = M add b9	\|	6 11 = 6: 0 5 = 11: 0 7
0 2 3 6 = dim. add 9	\|	7 9 = 7: 0 2 = 9: 0 10
0 2 4 7 = add9 , Mu chord	\|	11 = 11: 0
0 3 4 6 = Mb5 add #9	\|	3 6 7 9 = 3: 0 3 4 6 = 6: 0 1 3 9 = 7: 0 2 8 11 = 9: 0 6 9 10
0 3 4 7 = add #9, maj-min chord	\|	3 6 = 3: 0 3 = 6: 0 9
0 3 4 8 = aug. add #9	\|	3 7 = 3: 0 4 = 7: 0 8

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

9th chords no 5th (Scale Degrees: 1237)
0 1 3 10 = M7b9 no 5th	\|	0 9 = 0: 0 9 = 9: 0 3
0 1 3 11 = Mm7b9 no 5th	\|	0 10 = 0: 0 10 = 10: 0 2
0 1 4 10 = 7b9 no 5th	\|	9 11 = 9: 0 2 = 11: 0 10
0 1 4 11 = M7b9 no 5th	\|	11 = 11: 0
0 2 3 10 = m9 no 5th	\|	9 = 9: 0
0 2 3 11 = mM9 no 5th	\|	7 10 = 7: 0 3 = 10: 0 9
0 2 4 10 = 9 no 5th	\|	9 11 = 9: 0 2 = 11: 0 10
0 2 4 11 = M9 no 5th	\|	7 11 = 7: 0 4 = 11: 0 8
0 3 4 10 = 7#9 no 5th, Hendrix, all-int	\|	3 9 = 3: 0 6 = 9: 0 6
0 3 4 11 = M7#9 no 5th	\|	7 = 7: 0

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

6/9 chords no 3rd (Scale Degrees: 1256)
0 1 7 8	\|	11 = 11: 0
0 1 7 9 = all-int	\|	0 6 = 0: 0 6 = 6: 0 6
0 2 7 8	\|	11 = 11: 0

9th chords no 3rd (Scale Degrees: 1257)
0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd	\|	0 11 = 0: 0 11 = 11: 0 1
0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd	\|	0 11 = 0: 0 11 = 11: 0 1
0 2 7 10 = 9 no 3rd, m9 no 3rd	\|	11 = 11: 0
0 2 7 11 = M9 no 3rd, mM9 no 3rd	\|	11 = 11: 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 10	\|	1 9 = 1: 0 8 = 9: 0 4
0 2 9 11	\|	1 10 = 1: 0 9 = 10: 0 3
0 2 10 11	\|	1 11 = 1: 0 10 = 11: 0 2

Add 11 Chords (Scale Degrees: 1345)
0 3 5 6 = blues tetrachord	\|	6 7 = 6: 0 1 = 7: 0 11
0 3 5 7 = m add 11	\|	6 = 6: 0
0 3 6 7 = m add #11	\|	0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9
0 4 5 6 = Mb5 add 11	\|	6 7 = 6: 0 1 = 7: 0 11
0 4 5 7 = M add 11	\|	6 = 6: 0
0 4 6 7 = Madd#11, Jetsons, all-int	\|	3 6 = 3: 0 3 = 6: 0 9

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

6th Chords (Scale Degrees: 1356)
0 3 6 9 = dim. 7, m6b5	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9
0 3 7 8 = mb6	\|	3 = 3: 0
0 3 7 9 = m6 , Tristan chord	\|	0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9
0 4 7 8 = Mb6	\|	3 11 = 3: 0 8 = 11: 0 4
0 4 7 9 = 6	\|	3 6 = 3: 0 3 = 6: 0 9

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

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

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

Scale Degrees: 1456
0 5 7 9	\|	6 = 6: 0
0 6 7 8	\|	3 = 3: 0
0 6 7 9	\|	0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9

Sus 4 7th Chords (Scale Degrees: 1457)
0 6 7 10 = 7sus#4, all-int	\|	0 3 = 0: 0 3 = 3: 0 9
0 6 7 11 = M7sus#4	\|	0 = 0: 0

Scale Degrees: 1467
0 5 10 11	\|	1 = 1: 0

Scale Degrees: 1566
0 7 8 9	\|	3 = 3: 0

Scale Degrees: 1567
0 7 8 10	\|	3 11 = 3: 0 8 = 11: 0 4
0 7 8 11	\|	11 = 11: 0
0 7 9 10	\|	0 3 = 0: 0 3 = 3: 0 9
0 7 9 11	\|	0 = 0: 0
0 7 10 11	\|	0 11 = 0: 0 11 = 11: 0 1

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

Scale Degrees: 12235
0 1 2 4 7	\|	11 = 11: 0
0 1 2 4 8	\|	11 = 11: 0
0 1 3 4 7	\|	6 = 6: 0
0 2 3 4 8	\|	7 = 7: 0

Scale Degrees: 12236
0 1 2 4 9	\|	9 = 9: 0
0 1 3 4 9	\|	6 9 = 6: 0 3 = 9: 0 9
0 2 3 4 9	\|	9 = 9: 0

Scale Degrees: 12237
0 1 2 3 10	\|	9 = 9: 0
0 1 2 3 11	\|	10 = 10: 0
0 1 2 4 10	\|	9 11 = 9: 0 2 = 11: 0 10
0 1 2 4 11	\|	11 = 11: 0
0 1 3 4 10	\|	9 = 9: 0
0 2 3 4 10	\|	9 = 9: 0
0 2 3 4 11	\|	7 = 7: 0

Scale Degrees: 12256
0 1 2 7 8	\|	11 = 11: 0

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

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

1st 5 notes of diamorphic scale (Scale Degrees: 12345)
0 1 3 5 6 = locrian pentachord	\|	6 = 6: 0
0 1 3 5 7 = phrygilocrian pentachord	\|	6 = 6: 0
0 1 3 6 7	\|	0 6 = 0: 0 6 = 6: 0 6
0 1 4 5 7 = phrygian maj. pentachord	\|	6 = 6: 0
0 1 4 6 7	\|	6 = 6: 0
0 2 3 5 6	\|	7 = 7: 0
0 2 4 5 6	\|	7 = 7: 0
0 3 4 5 6	\|	6 7 = 6: 0 1 = 7: 0 11
0 3 4 5 7	\|	6 = 6: 0
0 3 4 6 7	\|	3 6 = 3: 0 3 = 6: 0 9

11th chords no 5th (Scale Degrees: 12347)
0 3 4 5 11	\|	7 = 7: 0

6/9 chords (Scale Degrees: 12356)
0 1 3 6 9	\|	0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9
0 1 3 7 9	\|	0 6 = 0: 0 6 = 6: 0 6
0 1 4 7 8 = Bridge chord	\|	11 = 11: 0
0 1 4 7 9 = Elektra chord	\|	6 = 6: 0
0 2 4 6 8 = whole tone pentachord	\|	7 = 7: 0
0 2 4 7 8	\|	11 = 11: 0
0 3 4 6 9	\|	3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9
0 3 4 7 8	\|	3 = 3: 0
0 3 4 7 9 = slendro	\|	3 6 = 3: 0 3 = 6: 0 9

9th chords (Scale Degrees: 12357)
0 1 3 6 10 = m7b5b9	\|	0 9 = 0: 0 9 = 9: 0 3
0 1 3 6 11 = mM7b5b9	\|	0 = 0: 0
0 1 3 7 10 = m7b9	\|	0 = 0: 0
0 1 3 7 11 = mM7b9	\|	0 = 0: 0
0 1 4 6 10 = 7b5b9	\|	9 = 9: 0
0 1 4 7 10 = 7b9	\|	11 = 11: 0
0 1 4 7 11 = M7b9	\|	11 = 11: 0
0 1 4 8 10 = 7#5b9	\|	11 = 11: 0
0 1 4 8 11 = M7#5b9	\|	11 = 11: 0
0 2 3 6 10 = m9b5	\|	9 = 9: 0
0 2 3 6 11 = mM9b5	\|	7 = 7: 0
0 2 4 6 10 = 9b5, alt. chord	\|	9 = 9: 0
0 2 4 6 11 = M9b5	\|	7 = 7: 0
0 2 4 7 10 = 9	\|	11 = 11: 0
0 2 4 7 11 = M9	\|	11 = 11: 0
0 2 4 8 10 = 9#5, alt. chord	\|	11 = 11: 0
0 2 4 8 11 = M9#5	\|	7 11 = 7: 0 4 = 11: 0 8
0 3 4 6 10 = 7b5#9	\|	3 9 = 3: 0 6 = 9: 0 6
0 3 4 6 11 = M7b5#9	\|	7 = 7: 0
0 3 4 7 10 = 7#9	\|	3 = 3: 0
0 3 4 8 10 = 7#5#9	\|	3 = 3: 0
0 3 4 8 11 = M7#5#9	\|	7 = 7: 0

13th chords no 5th no 11th (Scale Degrees: 12367)
0 1 3 9 10 = m13b9 no 5th no 11th	\|	0 9 = 0: 0 9 = 9: 0 3
0 1 3 9 11 = mM13b9 no 5th no 11th	\|	0 10 = 0: 0 10 = 10: 0 2
0 1 3 10 11 = mM#13b9 no 5th no 11th	\|	0 = 0: 0
0 1 4 9 10 = 13b9 no 5th no 11th	\|	9 = 9: 0
0 1 4 10 11 = 7#13b9 no 5th no 11th	\|	11 = 11: 0
0 2 3 9 10 = m13 no 5th no 11th	\|	9 = 9: 0
0 2 3 9 11 = M13 no 5th no 11th	\|	10 = 10: 0
0 2 4 9 10 = 13 no 5th no 11th	\|	9 = 9: 0
0 2 4 10 11 = M#13 no 5th no 11th	\|	11 = 11: 0
0 3 4 9 10 = 13#9 no 5th no 11th	\|	3 9 = 3: 0 6 = 9: 0 6

Scale Degrees: 12445
0 1 5 6 7	\|	6 = 6: 0

Scale Degrees: 12456
0 1 5 7 9	\|	6 = 6: 0
0 1 6 7 9	\|	0 6 = 0: 0 6 = 6: 0 6

11th chords no 3rd (Scale Degrees: 12457)
0 1 6 7 10	\|	0 = 0: 0
0 1 6 7 11	\|	0 = 0: 0

13th chords no 3rd no 11th (Scale Degrees: 12567)
0 1 7 8 10	\|	11 = 11: 0
0 1 7 8 11	\|	11 = 11: 0
0 1 7 9 10	\|	0 = 0: 0
0 1 7 9 11	\|	0 = 0: 0
0 1 7 10 11	\|	0 11 = 0: 0 11 = 11: 0 1
0 2 7 8 10	\|	11 = 11: 0
0 2 7 8 11	\|	11 = 11: 0
0 2 7 10 11	\|	11 = 11: 0

Scale Degrees: 12667
0 2 9 10 11	\|	1 = 1: 0

Scale Degrees: 13445
0 3 5 6 7 = blues pentachord	\|	6 = 6: 0
0 4 5 6 7	\|	6 = 6: 0

Scale Degrees: 13456
0 3 5 6 8	\|	7 = 7: 0
0 3 5 7 9	\|	6 = 6: 0
0 3 6 7 8	\|	3 = 3: 0
0 3 6 7 9	\|	0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9
0 4 5 6 8	\|	7 = 7: 0
0 4 5 7 9	\|	6 = 6: 0
0 4 6 7 8	\|	3 = 3: 0
0 4 6 7 9	\|	3 6 = 3: 0 3 = 6: 0 9

11th Chords no 9th (Scale Degrees: 13457)
0 3 6 7 10 = m7#11 no 9th, batti min. #4	\|	0 3 = 0: 0 3 = 3: 0 9
0 3 6 7 11 = mM7#11 no 9th, batti min. 4/7#	\|	0 = 0: 0
0 4 6 7 10 = 7#11 no 9th	\|	3 = 3: 0

Scale Degrees: 13566
0 3 7 8 9	\|	3 = 3: 0
0 4 7 8 9	\|	3 = 3: 0

7/6 Chords (Scale Degrees: 13567)
0 3 6 10 11 = mM7b5#6	\|	0 = 0: 0
0 3 7 8 10 = m7/b6	\|	3 = 3: 0
0 3 7 9 10 = m7/6	\|	0 3 = 0: 0 3 = 3: 0 9
0 3 7 9 11 = mM7/6	\|	0 = 0: 0
0 3 7 10 11 = mM7/#6	\|	0 = 0: 0
0 4 7 8 10 = 7/b6	\|	3 11 = 3: 0 8 = 11: 0 4
0 4 7 8 11 = M7/b6	\|	11 = 11: 0
0 4 7 9 10 = 7/6, boogie woogie	\|	3 = 3: 0
0 4 7 10 11 = M7#6	\|	11 = 11: 0
0 4 8 9 10 = 7#5/6	\|	3 = 3: 0
0 4 8 10 11 = M7#5/#6	\|	11 = 11: 0

Scale Degrees: 13677
0 3 9 10 11	\|	0 = 0: 0

Scale Degrees: 14566
0 6 7 8 9	\|	3 = 3: 0

13th chords no 3rd no 9th (Scale Degrees: 14567)
0 6 7 8 10	\|	3 = 3: 0
0 6 7 9 10	\|	0 3 = 0: 0 3 = 3: 0 9
0 6 7 9 11	\|	0 = 0: 0
0 6 7 10 11	\|	0 = 0: 0

Scale Degrees: 15667
0 7 8 9 10	\|	3 = 3: 0
0 7 8 10 11	\|	11 = 11: 0
0 7 9 10 11	\|	0 = 0: 0

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

Scale Degrees: 122335
0 1 2 3 4 6	\|	9 = 9: 0

Scale Degrees: 122336
0 1 2 3 4 9	\|	9 = 9: 0

Scale Degrees: 122337
0 1 2 3 4 10	\|	9 = 9: 0

Scale Degrees: 122345
0 1 3 4 5 7	\|	6 = 6: 0
0 1 3 4 6 7 = Istrian	\|	6 = 6: 0

Scale Degrees: 122347
0 1 2 3 5 11	\|	10 = 10: 0
0 2 3 4 5 11	\|	7 = 7: 0

Scale Degrees: 122356
0 1 2 4 7 8 = all-tri hex	\|	11 = 11: 0
0 1 3 4 7 9	\|	6 = 6: 0
0 2 3 4 6 9	\|	9 = 9: 0

Scale Degrees: 122357
0 1 2 4 7 10	\|	11 = 11: 0
0 1 2 4 7 11	\|	11 = 11: 0
0 1 2 4 8 10	\|	11 = 11: 0
0 2 3 4 6 10	\|	9 = 9: 0
0 2 3 4 6 11	\|	7 = 7: 0
0 2 3 4 8 11	\|	7 = 7: 0

Scale Degrees: 122367
0 1 2 3 9 10	\|	9 = 9: 0
0 1 2 3 9 11	\|	10 = 10: 0
0 1 2 4 9 10	\|	9 = 9: 0
0 1 2 4 10 11	\|	11 = 11: 0
0 1 3 4 9 10	\|	9 = 9: 0
0 2 3 4 9 10	\|	9 = 9: 0

Scale Degrees: 122567
0 1 2 7 8 10	\|	11 = 11: 0
0 1 2 7 8 11	\|	11 = 11: 0
0 1 2 7 10 11	\|	11 = 11: 0

Scale Degrees: 123445
0 1 3 5 6 7	\|	6 = 6: 0
0 1 4 5 6 7	\|	6 = 6: 0
0 3 4 5 6 7	\|	6 = 6: 0

1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456)
0 1 3 5 7 9	\|	6 = 6: 0
0 1 3 6 7 9	\|	0 6 = 0: 0 6 = 6: 0 6
0 1 4 5 7 9	\|	6 = 6: 0
0 1 4 6 7 9	\|	6 = 6: 0
0 2 3 5 6 8	\|	7 = 7: 0
0 3 4 5 7 9 = scale of harmonics	\|	6 = 6: 0
0 3 4 6 7 8	\|	3 = 3: 0
0 3 4 6 7 9	\|	3 6 = 3: 0 3 = 6: 0 9

11th chords = diamorphic scales no 6th (Scale Degrees: 123457)
0 1 3 6 7 10 = m#11b9	\|	0 = 0: 0
0 1 3 6 7 11 = mM#11b9, all-tri hex	\|	0 = 0: 0
0 2 3 5 6 11 = mM#11	\|	7 = 7: 0
0 2 4 5 6 11 = mM11b5	\|	7 = 7: 0
0 3 4 5 6 11 = M11b5#9	\|	7 = 7: 0
0 3 4 6 7 10 = 7#9#11	\|	3 = 3: 0

Scale Degrees: 123566
0 3 4 7 8 9	\|	3 = 3: 0

13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567)
0 1 3 7 9 10 = m13b9 no 11th	\|	0 = 0: 0
0 1 3 7 9 11 = mM13b9 no 11th	\|	0 = 0: 0
0 1 3 7 10 11 = mM#13b9 no 11th	\|	0 = 0: 0
0 1 4 7 8 10 = 7b13b9 no 11th	\|	11 = 11: 0
0 1 4 7 8 11 = Mb13b9 no 11th	\|	11 = 11: 0
0 1 4 7 10 11 = M#13b9 no 11th	\|	11 = 11: 0
0 1 4 8 10 11 = M#13#5b9 no 11th	\|	11 = 11: 0
0 2 4 7 8 10 = 7b13 no 11th	\|	11 = 11: 0
0 2 4 7 8 11 = M7b13 no 11th	\|	11 = 11: 0
0 2 4 7 10 11 = M#13 no 11th	\|	11 = 11: 0
0 2 4 8 10 11 = M#13#5 no 11th	\|	11 = 11: 0
0 3 4 7 8 10 = 7b13#9 no 11th	\|	3 = 3: 0
0 3 4 7 9 10 = 13#9 no 11th	\|	3 = 3: 0
0 3 4 8 9 10 = M#13#5#9 no 11th, all-tri hex	\|	3 = 3: 0

Scale Degrees: 123667
0 1 3 9 10 11	\|	0 = 0: 0

diamorphic scales no 3rd (Scale Degrees: 124567)
0 1 6 7 9 10	\|	0 = 0: 0
0 1 6 7 9 11	\|	0 = 0: 0
0 1 6 7 10 11	\|	0 = 0: 0

Scale Degrees: 125667
0 1 7 8 10 11	\|	11 = 11: 0
0 1 7 9 10 11	\|	0 = 0: 0
0 2 7 8 10 11	\|	11 = 11: 0

Scale Degrees: 134456
0 3 5 6 7 9	\|	6 = 6: 0
0 4 5 6 7 9	\|	6 = 6: 0

Scale Degrees: 134566
0 3 6 7 8 9	\|	3 = 3: 0
0 4 6 7 8 9	\|	3 = 3: 0

diamorphic scales no 2nd (Scale Degrees: 134567)
0 3 6 7 8 10 = m7#11b13 no 9th	\|	3 = 3: 0
0 3 6 7 9 10 = m13#11 no 9th	\|	0 3 = 0: 0 3 = 3: 0 9
0 3 6 7 9 11 = mM13#11 no 9th	\|	0 = 0: 0
0 3 6 7 10 11 = mM#13#11 no 9th	\|	0 = 0: 0
0 4 6 7 8 10 = 7#13#11 no 9th	\|	3 = 3: 0
0 4 6 7 9 10 = 13#11 no 9th	\|	3 = 3: 0

Scale Degrees: 135667
0 3 7 8 9 10	\|	3 = 3: 0
0 3 7 9 10 11	\|	0 = 0: 0
0 4 7 8 9 10	\|	3 = 3: 0
0 4 7 8 10 11	\|	11 = 11: 0

Scale Degrees: 145667
0 6 7 8 9 10	\|	3 = 3: 0
0 6 7 9 10 11	\|	0 = 0: 0

Scale Degrees: 1223357
0 1 2 3 4 6 10	\|	9 = 9: 0

Scale Degrees: 1223367
0 1 2 3 4 9 10	\|	9 = 9: 0

Scale Degrees: 1223445
0 1 3 4 5 6 7	\|	6 = 6: 0

Scale Degrees: 1223456
0 1 3 4 5 7 9	\|	6 = 6: 0
0 1 3 4 6 7 9	\|	6 = 6: 0

Scale Degrees: 1223457
0 2 3 4 5 6 11	\|	7 = 7: 0

Scale Degrees: 1223467
0 1 2 3 5 9 11	\|	10 = 10: 0

Scale Degrees: 1223567
0 1 2 3 6 9 10	\|	9 = 9: 0
0 1 2 4 7 8 10	\|	11 = 11: 0
0 1 2 4 7 8 11	\|	11 = 11: 0
0 1 2 4 7 10 11	\|	11 = 11: 0
0 1 2 4 8 10 11	\|	11 = 11: 0

Scale Degrees: 1225667
0 1 2 7 8 10 11	\|	11 = 11: 0

Scale Degrees: 1234456
0 1 4 5 6 7 9	\|	6 = 6: 0
0 3 4 5 6 7 9	\|	6 = 6: 0

Scale Degrees: 1234566
0 3 4 6 7 8 9 = Sucharitra	\|	3 = 3: 0

13th chords, diamorphic scales (Scale Degrees: 1234567)
0 1 3 5 8 9 11 = mM13#5b9	\|	10 = 10: 0
0 1 3 6 7 9 10 = m13b9#11, Shadvidamargini	\|	0 = 0: 0
0 1 3 6 7 9 11 = mM13b9#11, Suvarnangi	\|	0 = 0: 0
0 1 3 6 7 10 11 = mM#13b9#11, Divyamani	\|	0 = 0: 0
0 2 3 5 6 8 11 = mMb13b5, locrian min.	\|	7 = 7: 0
0 2 3 5 8 9 11 = mM13#5	\|	10 = 10: 0
0 2 4 5 6 8 11 = M7b13b5	\|	7 = 7: 0
0 3 4 5 6 8 11 = M7b13b5#9	\|	7 = 7: 0
0 3 4 6 7 8 10 = mb13b5#9, Jyoti swarupini	\|	3 = 3: 0
0 3 4 6 7 9 10 = 13#9#11, Hungarian maj. I, Naasikabhushini	\|	3 = 3: 0
0 3 4 6 8 9 10 = 13#5#9	\|	3 = 3: 0

Scale Degrees: 1235667
0 1 3 7 9 10 11	\|	0 = 0: 0
0 1 4 7 8 10 11	\|	11 = 11: 0
0 2 4 7 8 10 11	\|	11 = 11: 0
0 3 4 7 8 9 10	\|	3 = 3: 0

Scale Degrees: 1245677
0 1 6 7 9 10 11	\|	0 = 0: 0

Scale Degrees: 1345667
0 3 6 7 8 9 10	\|	3 = 3: 0
0 3 6 7 9 10 11	\|	0 = 0: 0
0 4 6 7 8 9 10	\|	3 = 3: 0

Scale Degrees: 12234456
0 1 3 4 5 6 7 9	\|	6 = 6: 0

Scale Degrees: 12235667
0 1 2 4 7 8 10 11	\|	11 = 11: 0

diamorphic with supplementary 6th (Scale Degrees: 12345667)
0 1 3 6 7 9 10 11	\|	0 = 0: 0
0 3 4 6 7 8 9 10	\|	3 = 3: 0