Chord Type: 0 1 2 4 5 6 7 8 11

0 1 2 4 5 6 7 8 11

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Chord Type: 0 1 2 4 5 6 7 8 11

General Statistics Cardinality: 9 Jordan Number: 9-13 Forte Number: 9-5 Forte Prime Form: [0,1,2,3,4,6,7,8,9] Zeitler Scale Name: Zoptygic Ian Ring's Scale Page 2551 Root Reference: 0 1 2 4 5 6 7 8 11 Tone Stacking: 0 1 1 2 1 1 1 1 3 Interval Stacking: 1 1 2 1 1 1 1 3 1 Binary: 1 1 1 0 1 1 1 1 1 0 0 1 Decimal Value: 2551 Interval Vector: 7 6 6 6 7 4 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.556 Harmonic Adjacency (0-1): 0.556 Modal-system-invariant under multiplication by: 1 7 Modal System Balanced: no Diachromatic Family: diamorphic with supplementary 2nd, 4th (Scale Degrees: 122344567) 0 1 2 3 5 6 7 8 10 0 1 2 3 5 6 7 8 11 0 1 2 3 5 6 7 9 10 = 12569A & m7, 12569A & min. pentat. 0 1 2 3 5 6 7 9 11 0 1 2 3 5 6 7 10 11 0 1 2 3 5 6 8 9 11 0 1 2 4 5 6 7 8 10 ->0 1 2 4 5 6 7 8 11 0 1 2 4 5 6 7 9 10 = 12569A & dom. 7 0 1 2 4 5 6 7 9 11 0 1 2 4 5 6 7 10 11 0 1 3 4 5 6 7 8 10 0 1 3 4 5 6 7 8 11 0 1 3 4 5 6 7 9 10 0 1 3 4 5 6 7 9 11 0 1 3 4 5 6 7 10 11 0 2 3 4 5 6 7 8 10 = whole tone & aeolean 0 2 3 4 5 6 7 8 11 0 2 3 4 5 6 7 9 10 0 2 3 4 5 6 7 9 11 = lydian & mel. min. 0 2 3 4 5 6 7 10 11 All Transpositions of Chord Type: +0= 0 1 2 4 5 6 7 8 11 | +1= 0 1 2 3 5 6 7 8 9 | +2= 1 2 3 4 6 7 8 9 10 | +3= 2 3 4 5 7 8 9 10 11 | +4= 0 3 4 5 6 8 9 10 11 | +5= 0 1 4 5 6 7 9 10 11 | +6= 0 1 2 5 6 7 8 10 11 | +7= 0 1 2 3 6 7 8 9 11 | +8= 0 1 2 3 4 7 8 9 10 | +9= 1 2 3 4 5 8 9 10 11 | +10= 0 2 3 4 5 6 9 10 11 | +11= 0 1 3 4 5 6 7 10 11 | Modes of Chord Type: (mode 0) 0: 0 1 2 4 5 6 7 8 11 | (mode 1) 1: 0 1 3 4 5 6 7 10 11 | (mode 2) 2: 0 2 3 4 5 6 9 10 11 | (mode 3) 4: 0 1 2 3 4 7 8 9 10 | (mode 4) 5: 0 1 2 3 6 7 8 9 11 | (mode 5) 6: 0 1 2 5 6 7 8 10 11 | (mode 6) 7: 0 1 4 5 6 7 9 10 11 | (mode 7) 8: 0 3 4 5 6 8 9 10 11 | (mode 8) 11: 0 1 2 3 5 6 7 8 9 | Modes of Chord Type Sorted by Rootedness: 1.383(mode 3)4:0 1 2 3 4 7 8 9 10 | 1.192(mode 1)1:0 1 3 4 5 6 7 10 11 | 1.058(mode 6)7:0 1 4 5 6 7 9 10 11 | .808(mode 4)5:0 1 2 3 6 7 8 9 11 | .642(mode 0)0:0 1 2 4 5 6 7 8 11 | .633(mode 2)2:0 2 3 4 5 6 9 10 11 | .350(mode 5)6:0 1 2 5 6 7 8 10 11 | .275(mode 7)8:0 3 4 5 6 8 9 10 11 | .258(mode 8)11:0 1 2 3 5 6 7 8 9 | Inversion at 0: 0 1 4 5 6 7 8 10 11 (mode 0) 0: 0 1 4 5 6 7 8 10 11 | (mode 1) 1: 0 3 4 5 6 7 9 10 11 | (mode 2) 4: 0 1 2 3 4 6 7 8 9 | (mode 3) 5: 0 1 2 3 5 6 7 8 11 | (mode 4) 6: 0 1 2 4 5 6 7 10 11 | (mode 5) 7: 0 1 3 4 5 6 9 10 11 | (mode 6) 8: 0 2 3 4 5 8 9 10 11 | (mode 7) 10: 0 1 2 3 6 7 8 9 10 | (mode 8) 11: 0 1 2 5 6 7 8 9 11 | Times 7: 0 1 2 4 5 6 7 8 11 (mode 0) 0: 0 1 2 4 5 6 7 8 11 | (mode 1) 1: 0 1 3 4 5 6 7 10 11 | (mode 2) 2: 0 2 3 4 5 6 9 10 11 | (mode 3) 4: 0 1 2 3 4 7 8 9 10 | (mode 4) 5: 0 1 2 3 6 7 8 9 11 | (mode 5) 6: 0 1 2 5 6 7 8 10 11 | (mode 6) 7: 0 1 4 5 6 7 9 10 11 | (mode 7) 8: 0 3 4 5 6 8 9 10 11 | (mode 8) 11: 0 1 2 3 5 6 7 8 9 | Times 5: 0 1 4 5 6 7 8 10 11 (mode 0) 0: 0 1 4 5 6 7 8 10 11 | (mode 1) 1: 0 3 4 5 6 7 9 10 11 | (mode 2) 4: 0 1 2 3 4 6 7 8 9 | (mode 3) 5: 0 1 2 3 5 6 7 8 11 | (mode 4) 6: 0 1 2 4 5 6 7 10 11 | (mode 5) 7: 0 1 3 4 5 6 9 10 11 | (mode 6) 8: 0 2 3 4 5 8 9 10 11 | (mode 7) 10: 0 1 2 3 6 7 8 9 10 | (mode 8) 11: 0 1 2 5 6 7 8 9 11 | Modal System: 0 1 2 3 4 7 8 9 10 from root(s) 4 | "" Modes of Modal System: (mode 0) 0: 0 1 2 3 4 7 8 9 10 | (mode 1) 1: 0 1 2 3 6 7 8 9 11 | (mode 2) 2: 0 1 2 5 6 7 8 10 11 | (mode 3) 3: 0 1 4 5 6 7 9 10 11 | (mode 4) 4: 0 3 4 5 6 8 9 10 11 | (mode 5) 7: 0 1 2 3 5 6 7 8 9 | (mode 6) 8: 0 1 2 4 5 6 7 8 11 | (mode 7) 9: 0 1 3 4 5 6 7 10 11 | (mode 8) 10: 0 2 3 4 5 6 9 10 11 | Complement: 3 9 10 (mode 0) 3: 0 6 7 | sus#4 = Viennese trichord (mode 1) 9: 0 1 6 | (mode 2) 10: 0 5 11 | All but the root (subchroma complement of 0): 1 2 4 5 6 7 8 11 (mode 0) 1: 0 1 3 4 5 6 7 10 | (mode 1) 2: 0 2 3 4 5 6 9 11 | (mode 2) 4: 0 1 2 3 4 7 9 10 | (mode 3) 5: 0 1 2 3 6 8 9 11 | (mode 4) 6: 0 1 2 5 7 8 10 11 | (mode 5) 7: 0 1 4 6 7 9 10 11 | (mode 6) 8: 0 3 5 6 8 9 10 11 | (mode 7) 11: 0 2 3 5 6 7 8 9 | 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: 2 4 8 11 (mode 0) 2: 0 2 6 9 | (mode 1) 4: 0 4 7 10 | 7 = German aug. 6th chord (mode 2) 8: 0 3 6 8 | (mode 3) 11: 0 3 5 9 | Dechromaticised but Keep 0 0 2 4 8 11 (mode 0) 0: 0 2 4 8 11 | M9#5 (mode 1) 2: 0 2 6 9 10 | (mode 2) 4: 0 4 7 8 10 | 7/b6 (mode 3) 8: 0 3 4 6 8 | (mode 4) 11: 0 1 3 5 9 | Dechromaticised but Keep 0 7 0 2 4 7 8 11 (mode 0) 0: 0 2 4 7 8 11 | M7b13 no 11th (mode 1) 2: 0 2 5 6 9 10 | (mode 2) 4: 0 3 4 7 8 10 | 7b13#9 no 11th (mode 3) 7: 0 1 4 5 7 9 | (mode 4) 8: 0 3 4 6 8 11 | (mode 5) 11: 0 1 3 5 8 9 | Dechromaticised but Keep 0 3 4 7 0 2 4 7 8 11 (mode 0) 0: 0 2 4 7 8 11 | M7b13 no 11th (mode 1) 2: 0 2 5 6 9 10 | (mode 2) 4: 0 3 4 7 8 10 | 7b13#9 no 11th (mode 3) 7: 0 1 4 5 7 9 | (mode 4) 8: 0 3 4 6 8 11 | (mode 5) 11: 0 1 3 5 8 9 | Alt-Dechromaticised: 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 | Alt-Dechromaticised but Keep 0 0 2 4 5 8 (mode 0) 0: 0 2 4 5 8 | (mode 1) 2: 0 2 3 6 10 | m9b5 (mode 2) 4: 0 1 4 8 10 | 7#5b9 (mode 3) 5: 0 3 7 9 11 | mM7/6 (mode 4) 8: 0 4 6 8 9 | Alt-Dechromaticised but Keep 0 7 0 2 4 5 7 8 (mode 0) 0: 0 2 4 5 7 8 | (mode 1) 2: 0 2 3 5 6 10 | m11b5 (mode 2) 4: 0 1 3 4 8 10 | (mode 3) 5: 0 2 3 7 9 11 | mM 13 no 11th (mode 4) 7: 0 1 5 7 9 10 | (mode 5) 8: 0 4 6 8 9 11 | Alt-Dechromaticised but Keep 0 3 4 7 0 2 4 5 7 8 (mode 0) 0: 0 2 4 5 7 8 | (mode 1) 2: 0 2 3 5 6 10 | m11b5 (mode 2) 4: 0 1 3 4 8 10 | (mode 3) 5: 0 2 3 7 9 11 | mM 13 no 11th (mode 4) 7: 0 1 5 7 9 10 | (mode 5) 8: 0 4 6 8 9 11 | Chromaticizations chromaticized: N/A chromaticized keep 0: N/A chromaticized keep 0 7: N/A chromaticized keep 0 3 4 7: N/A alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: N/A alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 3 0 0 2 7 0 4 5 6 = 0: 0 4 5 6 = 4: 0 1 2 8 = 5: 0 1 7 11 = 6: 0 6 10 11 2 0 0 7 0 1 4 5 6 7 = 0: 0 1 4 5 6 7 = 1: 0 3 4 5 6 11 = 4: 0 1 2 3 8 9 = 5: 0 1 2 7 8 11 = 6: 0 1 6 7 10 11 = 7: 0 5 6 9 10 11 2 0 0 7 0 1 4 5 7 11 = 0: 0 1 4 5 7 11 = 1: 0 3 4 6 10 11 = 4: 0 1 3 7 8 9 = 5: 0 2 6 7 8 11 = 7: 0 4 5 6 9 10 = 11: 0 1 2 5 6 8 2 0 0 7 0 1 4 5 6 7 11 = 0: 0 1 4 5 6 7 11 = 1: 0 3 4 5 6 10 11 = 4: 0 1 2 3 7 8 9 = 5: 0 1 2 6 7 8 11 = 6: 0 1 5 6 7 10 11 = 7: 0 4 5 6 9 10 11 = 11: 0 1 2 5 6 7 8 1 0 0 0 1 2 4 5 6 7 8 11 = 0: 0 1 2 4 5 6 7 8 11 = 1: 0 1 3 4 5 6 7 10 11 = 2: 0 2 3 4 5 6 9 10 11 = 4: 0 1 2 3 4 7 8 9 10 = 5: 0 1 2 3 6 7 8 9 11 = 6: 0 1 2 5 6 7 8 10 11 = 7: 0 1 4 5 6 7 9 10 11 = 8: 0 3 4 5 6 8 9 10 11 = 11: 0 1 2 3 5 6 7 8 9 2 1 1 8 0 3 4 5 6 = 0: 0 3 4 5 6 = 3: 0 1 2 3 9 = 4: 0 1 2 8 11 = 5: 0 1 7 10 11 = 6: 0 6 9 10 11 2 1 1 8 0 3 4 6 10 = 0: 0 3 4 6 10 = 3: 0 1 3 7 9 = 4: 0 2 6 8 11 = 6: 0 4 6 9 10 = 10: 0 2 5 6 8 2 1 1 8 0 3 4 5 6 10 = 0: 0 3 4 5 6 10 = 3: 0 1 2 3 7 9 = 4: 0 1 2 6 8 11 = 5: 0 1 5 7 10 11 = 6: 0 4 6 9 10 11 = 10: 0 2 5 6 7 8 2 1 1 8 0 3 4 5 6 11 = 0: 0 3 4 5 6 11 = 3: 0 1 2 3 8 9 = 4: 0 1 2 7 8 11 = 5: 0 1 6 7 10 11 = 6: 0 5 6 9 10 11 = 11: 0 1 4 5 6 7 2 1 1 8 0 3 4 6 10 11 = 0: 0 3 4 6 10 11 = 3: 0 1 3 7 8 9 = 4: 0 2 6 7 8 11 = 6: 0 4 5 6 9 10 = 10: 0 1 2 5 6 8 = 11: 0 1 4 5 7 11 2 1 1 8 0 3 4 5 6 10 11 = 0: 0 3 4 5 6 10 11 = 3: 0 1 2 3 7 8 9 = 4: 0 1 2 6 7 8 11 = 5: 0 1 5 6 7 10 11 = 6: 0 4 5 6 9 10 11 = 10: 0 1 2 5 6 7 8 = 11: 0 1 4 5 6 7 11 1 1 1 0 1 3 4 5 6 7 10 11 = 0: 0 1 3 4 5 6 7 10 11 = 1: 0 2 3 4 5 6 9 10 11 = 3: 0 1 2 3 4 7 8 9 10 = 4: 0 1 2 3 6 7 8 9 11 = 5: 0 1 2 5 6 7 8 10 11 = 6: 0 1 4 5 6 7 9 10 11 = 7: 0 3 4 5 6 8 9 10 11 = 10: 0 1 2 3 5 6 7 8 9 = 11: 0 1 2 4 5 6 7 8 11 1 2 2 0 2 3 4 5 6 9 10 11 = 0: 0 2 3 4 5 6 9 10 11 = 2: 0 1 2 3 4 7 8 9 10 = 3: 0 1 2 3 6 7 8 9 11 = 4: 0 1 2 5 6 7 8 10 11 = 5: 0 1 4 5 6 7 9 10 11 = 6: 0 3 4 5 6 8 9 10 11 = 9: 0 1 2 3 5 6 7 8 9 = 10: 0 1 2 4 5 6 7 8 11 = 11: 0 1 3 4 5 6 7 10 11 4 4 1 4 6 11 0 1 7 = 0: 0 1 7 = 1: 0 6 11 = 7: 0 5 6 3 4 4 6 11 0 1 2 7 8 = 0: 0 1 2 7 8 = 1: 0 1 6 7 11 = 2: 0 5 6 10 11 = 7: 0 1 5 6 7 = 8: 0 4 5 6 11 2 4 4 11 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 2 4 4 11 0 1 2 3 7 9 = 0: 0 1 2 3 7 9 = 1: 0 1 2 6 8 11 = 2: 0 1 5 7 10 11 = 3: 0 4 6 9 10 11 = 7: 0 2 5 6 7 8 = 9: 0 3 4 5 6 10 2 4 4 11 0 1 3 7 8 9 = 0: 0 1 3 7 8 9 = 1: 0 2 6 7 8 11 = 3: 0 4 5 6 9 10 = 7: 0 1 2 5 6 8 = 8: 0 1 4 5 7 11 = 9: 0 3 4 6 10 11 2 4 4 11 0 1 2 3 7 8 9 = 0: 0 1 2 3 7 8 9 = 1: 0 1 2 6 7 8 11 = 2: 0 1 5 6 7 10 11 = 3: 0 4 5 6 9 10 11 = 7: 0 1 2 5 6 7 8 = 8: 0 1 4 5 6 7 11 = 9: 0 3 4 5 6 10 11 1 4 4 0 1 2 3 4 7 8 9 10 = 0: 0 1 2 3 4 7 8 9 10 = 1: 0 1 2 3 6 7 8 9 11 = 2: 0 1 2 5 6 7 8 10 11 = 3: 0 1 4 5 6 7 9 10 11 = 4: 0 3 4 5 6 8 9 10 11 = 7: 0 1 2 3 5 6 7 8 9 = 8: 0 1 2 4 5 6 7 8 11 = 9: 0 1 3 4 5 6 7 10 11 = 10: 0 2 3 4 5 6 9 10 11 3 5 0 5 7 0 1 7 11 = 0: 0 1 7 11 = 1: 0 6 10 11 = 7: 0 4 5 6 = 11: 0 1 2 8 3 5 0 5 7 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 2 5 0 5 0 1 2 7 8 11 = 0: 0 1 2 7 8 11 = 1: 0 1 6 7 10 11 = 2: 0 5 6 9 10 11 = 7: 0 1 4 5 6 7 = 8: 0 3 4 5 6 11 = 11: 0 1 2 3 8 9 2 5 0 5 0 2 6 7 8 11 = 0: 0 2 6 7 8 11 = 2: 0 4 5 6 9 10 = 6: 0 1 2 5 6 8 = 7: 0 1 4 5 7 11 = 8: 0 3 4 6 10 11 = 11: 0 1 3 7 8 9 2 5 0 5 0 1 2 6 7 8 11 = 0: 0 1 2 6 7 8 11 = 1: 0 1 5 6 7 10 11 = 2: 0 4 5 6 9 10 11 = 6: 0 1 2 5 6 7 8 = 7: 0 1 4 5 6 7 11 = 8: 0 3 4 5 6 10 11 = 11: 0 1 2 3 7 8 9 1 5 5 0 1 2 3 6 7 8 9 11 = 0: 0 1 2 3 6 7 8 9 11 = 1: 0 1 2 5 6 7 8 10 11 = 2: 0 1 4 5 6 7 9 10 11 = 3: 0 3 4 5 6 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 = 7: 0 1 2 4 5 6 7 8 11 = 8: 0 1 3 4 5 6 7 10 11 = 9: 0 2 3 4 5 6 9 10 11 = 11: 0 1 2 3 4 7 8 9 10 2 6 1 6 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 2 6 1 6 0 1 5 7 10 11 = 0: 0 1 5 7 10 11 = 1: 0 4 6 9 10 11 = 5: 0 2 5 6 7 8 = 7: 0 3 4 5 6 10 = 10: 0 1 2 3 7 9 = 11: 0 1 2 6 8 11 2 6 1 6 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 2 6 1 6 0 1 5 6 7 10 11 = 0: 0 1 5 6 7 10 11 = 1: 0 4 5 6 9 10 11 = 5: 0 1 2 5 6 7 8 = 6: 0 1 4 5 6 7 11 = 7: 0 3 4 5 6 10 11 = 10: 0 1 2 3 7 8 9 = 11: 0 1 2 6 7 8 11 2 7 2 7 0 4 6 9 10 11 = 0: 0 4 6 9 10 11 = 4: 0 2 5 6 7 8 = 6: 0 3 4 5 6 10 = 9: 0 1 2 3 7 9 = 10: 0 1 2 6 8 11 = 11: 0 1 5 7 10 11 2 7 2 7 0 4 5 6 9 10 11 = 0: 0 4 5 6 9 10 11 = 4: 0 1 2 5 6 7 8 = 5: 0 1 4 5 6 7 11 = 6: 0 3 4 5 6 10 11 = 9: 0 1 2 3 7 8 9 = 10: 0 1 2 6 7 8 11 = 11: 0 1 5 6 7 10 11 1 7 7 0 1 4 5 6 7 9 10 11 = 0: 0 1 4 5 6 7 9 10 11 = 1: 0 3 4 5 6 8 9 10 11 = 4: 0 1 2 3 5 6 7 8 9 = 5: 0 1 2 4 5 6 7 8 11 = 6: 0 1 3 4 5 6 7 10 11 = 7: 0 2 3 4 5 6 9 10 11 = 9: 0 1 2 3 4 7 8 9 10 = 10: 0 1 2 3 6 7 8 9 11 = 11: 0 1 2 5 6 7 8 10 11 3 11 1 6 11 0 1 5 6 7 = 0: 0 1 5 6 7 = 1: 0 4 5 6 11 = 5: 0 1 2 7 8 = 6: 0 1 6 7 11 = 7: 0 5 6 10 11 1 11 11 0 1 2 3 5 6 7 8 9 = 0: 0 1 2 3 5 6 7 8 9 = 1: 0 1 2 4 5 6 7 8 11 = 2: 0 1 3 4 5 6 7 10 11 = 3: 0 2 3 4 5 6 9 10 11 = 5: 0 1 2 3 4 7 8 9 10 = 6: 0 1 2 3 6 7 8 9 11 = 7: 0 1 2 5 6 7 8 10 11 = 8: 0 1 4 5 6 7 9 10 11 = 9: 0 3 4 5 6 8 9 10 11 Bright Layer Composition order pcset 1 0 1 2 4 5 6 7 8 11 = 0: 0 1 2 4 5 6 7 8 11 = 1: 0 1 3 4 5 6 7 10 11 = 2: 0 2 3 4 5 6 9 10 11 = 4: 0 1 2 3 4 7 8 9 10 = 5: 0 1 2 3 6 7 8 9 11 = 6: 0 1 2 5 6 7 8 10 11 = 7: 0 1 4 5 6 7 9 10 11 = 8: 0 3 4 5 6 8 9 10 11 = 11: 0 1 2 3 5 6 7 8 9 2 0 1 2 3 4 5 6 7 8 9 11 = 0: 0 1 2 3 4 5 6 7 8 9 11 = 1: 0 1 2 3 4 5 6 7 8 10 11 = 2: 0 1 2 3 4 5 6 7 9 10 11 = 3: 0 1 2 3 4 5 6 8 9 10 11 = 4: 0 1 2 3 4 5 7 8 9 10 11 = 5: 0 1 2 3 4 6 7 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 10 11 = 7: 0 1 2 4 5 6 7 8 9 10 11 = 8: 0 1 3 4 5 6 7 8 9 10 11 = 9: 0 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 3 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 1 2 4 5 6 7 8 11 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 2 = 2 = 2: 0 4 = 4 = 4: 0 5 = 5 = 5: 0 6 = 6 = 6: 0 7 = 7 = 7: 0 8 = 8 = 8: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 1 = 0 1 = 0: 0 1 1: 0 11 1 2 = 1 2 = 1: 0 1 2: 0 11 2 4 = 2 4 = 2: 0 2 4: 0 10 4 5 = 4 5 = 4: 0 1 5: 0 11 5 6 = 5 6 = 5: 0 1 6: 0 11 6 7 = 6 7 = 6: 0 1 7: 0 11 7 8 = 7 8 = 7: 0 1 8: 0 11 8 11 = 8 11 = 8: 0 3 11: 0 9 11 0 = 0 11 = 11: 0 1 0: 0 11 subchroma modal system: 0 2 0 2 = 0 2 = 0: 0 2 2: 0 10 1 4 = 1 4 = 1: 0 3 4: 0 9 2 5 = 2 5 = 2: 0 3 5: 0 9 4 6 = 4 6 = 4: 0 2 6: 0 10 5 7 = 5 7 = 5: 0 2 7: 0 10 6 8 = 6 8 = 6: 0 2 8: 0 10 7 11 = 7 11 = 7: 0 4 11: 0 8 8 0 = 0 8 = 8: 0 4 0: 0 8 11 1 = 1 11 = 11: 0 2 1: 0 10 subchroma modal system: 0 3 0 4 = 0 4 = 0: 0 4 4: 0 8 1 5 = 1 5 = 1: 0 4 5: 0 8 2 6 = 2 6 = 2: 0 4 6: 0 8 4 7 = 4 7 = 4: 0 3 7: 0 9 5 8 = 5 8 = 5: 0 3 8: 0 9 6 11 = 6 11 = 6: 0 5 11: 0 7 7 0 = 0 7 = 7: 0 5 0: 0 7 8 1 = 1 8 = 8: 0 5 1: 0 7 11 2 = 2 11 = 11: 0 3 2: 0 9 subchroma modal system: 0 4 0 5 = 0 5 = 0: 0 5 5: 0 7 1 6 = 1 6 = 1: 0 5 6: 0 7 2 7 = 2 7 = 2: 0 5 7: 0 7 4 8 = 4 8 = 4: 0 4 8: 0 8 5 11 = 5 11 = 5 11: 0 6 6 0 = 0 6 = 0 6: 0 6 7 1 = 1 7 = 1 7: 0 6 8 2 = 2 8 = 2 8: 0 6 11 4 = 4 11 = 11: 0 5 4: 0 7 subchroma modal system: 0 1 2 0 1 2 = 0 1 2 = 0: 0 1 2 1: 0 1 11 2: 0 10 11 1 2 4 = 1 2 4 = 1: 0 1 3 2: 0 2 11 2 4 5 = 2 4 5 = 2: 0 2 3 4 5 6 = 4 5 6 = 4: 0 1 2 5: 0 1 11 6: 0 10 11 5 6 7 = 5 6 7 = 5: 0 1 2 6: 0 1 11 7: 0 10 11 6 7 8 = 6 7 8 = 6: 0 1 2 7: 0 1 11 8: 0 10 11 7 8 11 = 7 8 11 = 7: 0 1 4 8: 0 3 11 8 11 0 = 0 8 11 = 8: 0 3 4 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 4 = 0 1 4 = 0: 0 1 4 1: 0 3 11 1 2 5 = 1 2 5 = 1: 0 1 4 2: 0 3 11 2 4 6 = 2 4 6 = 2: 0 2 4 4 5 7 = 4 5 7 = 4: 0 1 3 5: 0 2 11 5 6 8 = 5 6 8 = 5: 0 1 3 6: 0 2 11 6 7 11 = 6 7 11 = 7: 0 4 11 11: 0 7 8 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 11 1 = 1 8 11 = 8: 0 3 5 1: 0 7 10 11 0 2 = 0 2 11 = 11: 0 1 3 0: 0 2 11 subchroma modal system: 0 1 4 0 1 5 = 0 1 5 = 1: 0 4 11 5: 0 7 8 1 2 6 = 1 2 6 = 2: 0 4 11 6: 0 7 8 2 4 7 = 2 4 7 = 4: 0 3 10 7: 0 7 9 4 5 8 = 4 5 8 = 4: 0 1 4 5: 0 3 11 5 6 11 = 5 6 11 = 11: 0 6 7 6 7 0 = 0 6 7 = 0: 0 6 7 7 8 1 = 1 7 8 = 1: 0 6 7 8 11 2 = 2 8 11 = 8: 0 3 6 11: 0 3 9 11 0 4 = 0 4 11 = 0: 0 4 11 4: 0 7 8 subchroma modal system: 0 1 5 0 1 6 = 0 1 6 = 6: 0 6 7 1 2 7 = 1 2 7 = 7: 0 6 7 2 4 8 = 2 4 8 = 4: 0 4 10 4 5 11 = 4 5 11 = 4: 0 1 7 5 6 0 = 0 5 6 = 5: 0 1 7 6 7 1 = 1 6 7 = 6: 0 1 7 7 8 2 = 2 7 8 = 7: 0 1 7 8 11 4 = 4 8 11 = 4: 0 4 7 11 0 5 = 0 5 11 = 5: 0 6 7 subchroma modal system: 0 1 6 0 1 7 = 0 1 7 = 0: 0 1 7 1 2 8 = 1 2 8 = 1: 0 1 7 2 4 11 = 2 4 11 = 11: 0 3 5 4: 0 7 10 4 5 0 = 0 4 5 = 0: 0 4 5 5: 0 7 11 5 6 1 = 1 5 6 = 1: 0 4 5 6: 0 7 11 6 7 2 = 2 6 7 = 2: 0 4 5 7: 0 7 11 7 8 4 = 4 7 8 = 4: 0 3 4 8 11 5 = 5 8 11 = 5: 0 3 6 8: 0 3 9 11 0 6 = 0 6 11 = 11: 0 1 7 subchroma modal system: 0 1 7 0 1 8 = 0 1 8 = 8: 0 4 5 1: 0 7 11 1 2 11 = 1 2 11 = 11: 0 2 3 2 4 0 = 0 2 4 = 0: 0 2 4 4 5 1 = 1 4 5 = 1: 0 3 4 5 6 2 = 2 5 6 = 2: 0 3 4 6 7 4 = 4 6 7 = 4: 0 2 3 7 8 5 = 5 7 8 = 5: 0 2 3 8 11 6 = 6 8 11 = 8: 0 3 10 11: 0 7 9 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 2 4 0 2 5 = 0 2 5 = 2: 0 3 10 5: 0 7 9 1 4 6 = 1 4 6 = 1: 0 3 5 6: 0 7 10 2 5 7 = 2 5 7 = 2: 0 3 5 7: 0 7 10 4 6 8 = 4 6 8 = 4: 0 2 4 5 7 11 = 5 7 11 = 7: 0 4 10 6 8 0 = 0 6 8 = 8: 0 4 10 7 11 1 = 1 7 11 = 7: 0 4 6 8 0 2 = 0 2 8 = 8: 0 4 6 11 1 4 = 1 4 11 = 1: 0 3 10 4: 0 7 9 subchroma modal system: 0 2 5 0 2 6 = 0 2 6 = 2: 0 4 10 1 4 7 = 1 4 7 = 1: 0 3 6 4: 0 3 9 2 5 8 = 2 5 8 = 2: 0 3 6 5: 0 3 9 4 6 11 = 4 6 11 = 4: 0 2 7 11: 0 5 7 6: 0 5 10 5 7 0 = 0 5 7 = 5: 0 2 7 0: 0 5 7 7: 0 5 10 6 8 1 = 1 6 8 = 6: 0 2 7 1: 0 5 7 8: 0 5 10 7 11 2 = 2 7 11 = 7: 0 4 7 8 0 4 = 0 4 8 = 0 4 8: 0 4 8 11 1 5 = 1 5 11 = 1: 0 4 10 subchroma modal system: 0 2 6 0 2 7 = 0 2 7 = 0: 0 2 7 7: 0 5 7 2: 0 5 10 1 4 8 = 1 4 8 = 1: 0 3 7 4: 0 4 9 2 5 11 = 2 5 11 = 11: 0 3 6 2: 0 3 9 4 6 0 = 0 4 6 = 0: 0 4 6 5 7 1 = 1 5 7 = 1: 0 4 6 6 8 2 = 2 6 8 = 2: 0 4 6 7 11 4 = 4 7 11 = 4: 0 3 7 7: 0 4 9 8 0 5 = 0 5 8 = 5: 0 3 7 8: 0 4 9 11 1 6 = 1 6 11 = 11: 0 2 7 6: 0 5 7 1: 0 5 10 subchroma modal system: 0 3 6 0 4 7 = 0 4 7 = 0: 0 4 7 1 5 8 = 1 5 8 = 1: 0 4 7 2 6 11 = 2 6 11 = 11: 0 3 7 2: 0 4 9 4 7 0 = 0 4 7 = 0: 0 4 7 5 8 1 = 1 5 8 = 1: 0 4 7 6 11 2 = 2 6 11 = 11: 0 3 7 2: 0 4 9 7 0 4 = 0 4 7 = 0: 0 4 7 8 1 5 = 1 5 8 = 1: 0 4 7 11 2 6 = 2 6 11 = 11: 0 3 7 2: 0 4 9 subchroma modal system: 0 1 2 3 0 1 2 4 = 0 1 2 4 = 0: 0 1 2 4 1: 0 1 3 11 2: 0 2 10 11 1 2 4 5 = 1 2 4 5 = 1: 0 1 3 4 2: 0 2 3 11 2 4 5 6 = 2 4 5 6 = 2: 0 2 3 4 4 5 6 7 = 4 5 6 7 = 4: 0 1 2 3 6: 0 1 10 11 7: 0 9 10 11 5 6 7 8 = 5 6 7 8 = 5: 0 1 2 3 7: 0 1 10 11 8: 0 9 10 11 6 7 8 11 = 6 7 8 11 = 7: 0 1 4 11 8: 0 3 10 11 11: 0 7 8 9 7 8 11 0 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 8 11 0 1 = 0 1 8 11 = 8: 0 3 4 5 1: 0 7 10 11 11 0 1 2 = 0 1 2 11 = 11: 0 1 2 3 1: 0 1 10 11 2: 0 9 10 11 subchroma modal system: 0 1 2 4 0 1 2 5 = 0 1 2 5 = 1: 0 1 4 11 2: 0 3 10 11 5: 0 7 8 9 1 2 4 6 = 1 2 4 6 = 1: 0 1 3 5 2: 0 2 4 11 4: 0 2 9 10 6: 0 7 8 10 2 4 5 7 = 2 4 5 7 = 2: 0 2 3 5 4: 0 1 3 10 5: 0 2 9 11 7: 0 7 9 10 4 5 6 8 = 4 5 6 8 = 4: 0 1 2 4 5: 0 1 3 11 6: 0 2 10 11 5 6 7 11 = 5 6 7 11 = 7: 0 4 10 11 11: 0 6 7 8 6 7 8 0 = 0 6 7 8 = 8: 0 4 10 11 0: 0 6 7 8 7 8 11 1 = 1 7 8 11 = 8: 0 3 5 11 1: 0 6 7 10 8 11 0 2 = 0 2 8 11 = 8: 0 3 4 6 11 0 1 4 = 0 1 4 11 = 0: 0 1 4 11 1: 0 3 10 11 4: 0 7 8 9 subchroma modal system: 0 1 2 5 0 1 2 6 = 0 1 2 6 = 2: 0 4 10 11 6: 0 6 7 8 1 2 4 7 = 1 2 4 7 = 1: 0 1 3 6 4: 0 3 9 10 7: 0 6 7 9 2 4 5 8 = 2 4 5 8 = 2: 0 2 3 6 4: 0 1 4 10 5: 0 3 9 11 4 5 6 11 = 4 5 6 11 = 4: 0 1 2 7 11: 0 5 6 7 6: 0 5 10 11 5 6 7 0 = 0 5 6 7 = 5: 0 1 2 7 0: 0 5 6 7 7: 0 5 10 11 6 7 8 1 = 1 6 7 8 = 6: 0 1 2 7 1: 0 5 6 7 8: 0 5 10 11 7 8 11 2 = 2 7 8 11 = 7: 0 1 4 7 8: 0 3 6 11 8 11 0 4 = 0 4 8 11 = 8: 0 3 4 8 4: 0 4 7 8 0: 0 4 8 11 11 0 1 5 = 0 1 5 11 = 1: 0 4 10 11 5: 0 6 7 8 subchroma modal system: 0 1 2 6 0 1 2 7 = 0 1 2 7 = 0: 0 1 2 7 7: 0 5 6 7 2: 0 5 10 11 1 2 4 8 = 1 2 4 8 = 1: 0 1 3 7 4: 0 4 9 10 2 4 5 11 = 2 4 5 11 = 4: 0 1 7 10 11: 0 3 5 6 4 5 6 0 = 0 4 5 6 = 5: 0 1 7 11 0: 0 4 5 6 5 6 7 1 = 1 5 6 7 = 6: 0 1 7 11 1: 0 4 5 6 6 7 8 2 = 2 6 7 8 = 7: 0 1 7 11 2: 0 4 5 6 7 8 11 4 = 4 7 8 11 = 4: 0 3 4 7 7: 0 1 4 9 8 11 0 5 = 0 5 8 11 = 8: 0 3 4 9 5: 0 3 6 7 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 7 0 1 2 8 = 0 1 2 8 = 1: 0 1 7 11 8: 0 4 5 6 1 2 4 11 = 1 2 4 11 = 11: 0 2 3 5 1: 0 1 3 10 2: 0 2 9 11 4: 0 7 9 10 2 4 5 0 = 0 2 4 5 = 0: 0 2 4 5 2: 0 2 3 10 5: 0 7 9 11 4 5 6 1 = 1 4 5 6 = 1: 0 3 4 5 6: 0 7 10 11 5 6 7 2 = 2 5 6 7 = 2: 0 3 4 5 7: 0 7 10 11 6 7 8 4 = 4 6 7 8 = 4: 0 2 3 4 7 8 11 5 = 5 7 8 11 = 5: 0 2 3 6 7: 0 1 4 10 8: 0 3 9 11 8 11 0 6 = 0 6 8 11 = 8: 0 3 4 10 11: 0 1 7 9 11 0 1 7 = 0 1 7 11 = 0: 0 1 7 11 7: 0 4 5 6 subchroma modal system: 0 1 3 4 0 1 4 5 = 0 1 4 5 = 0: 0 1 4 5 1: 0 3 4 11 5: 0 7 8 11 1 2 5 6 = 1 2 5 6 = 1: 0 1 4 5 2: 0 3 4 11 6: 0 7 8 11 2 4 6 7 = 2 4 6 7 = 2: 0 2 4 5 4: 0 2 3 10 7: 0 7 9 11 4 5 7 8 = 4 5 7 8 = 4: 0 1 3 4 5: 0 2 3 11 5 6 8 11 = 5 6 8 11 = 5: 0 1 3 6 8: 0 3 9 10 11: 0 6 7 9 6 7 11 0 = 0 6 7 11 = 11: 0 1 7 8 7: 0 4 5 11 0: 0 6 7 11 7 8 0 1 = 0 1 7 8 = 0: 0 1 7 8 8: 0 4 5 11 1: 0 6 7 11 8 11 1 2 = 1 2 8 11 = 1: 0 1 7 10 8: 0 3 5 6 11 0 2 4 = 0 2 4 11 = 11: 0 1 3 5 0: 0 2 4 11 2: 0 2 9 10 4: 0 7 8 10 subchroma modal system: 0 1 3 5 0 1 4 6 = 0 1 4 6 = 1: 0 3 5 11 6: 0 6 7 10 1 2 5 7 = 1 2 5 7 = 2: 0 3 5 11 7: 0 6 7 10 2 4 6 8 = 2 4 6 8 = 2: 0 2 4 6 4: 0 2 4 10 4 5 7 11 = 4 5 7 11 = 4: 0 1 3 7 7: 0 4 9 10 5 6 8 0 = 0 5 6 8 = 5: 0 1 3 7 8: 0 4 9 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 8 0 2 = 0 2 7 8 = 7: 0 1 5 7 0: 0 2 7 8 8: 0 4 6 11 8 11 1 4 = 1 4 8 11 = 4: 0 4 7 9 1: 0 3 7 10 11 0 2 5 = 0 2 5 11 = 11: 0 1 3 6 2: 0 3 9 10 5: 0 6 7 9 subchroma modal system: 0 1 3 6 0 1 4 7 = 0 1 4 7 = 0: 0 1 4 7 1: 0 3 6 11 1 2 5 8 = 1 2 5 8 = 1: 0 1 4 7 2: 0 3 6 11 2 4 6 11 = 2 4 6 11 = 2: 0 2 4 9 4: 0 2 7 10 11: 0 3 5 7 4 5 7 0 = 0 4 5 7 = 5: 0 2 7 11 0: 0 4 5 7 5 6 8 1 = 1 5 6 8 = 6: 0 2 7 11 1: 0 4 5 7 6 7 11 2 = 2 6 7 11 = 11: 0 3 7 8 7: 0 4 7 11 7 8 0 4 = 0 4 7 8 = 4: 0 3 4 8 0: 0 4 7 8 8: 0 4 8 11 8 11 1 5 = 1 5 8 11 = 1: 0 4 7 10 11 0 2 6 = 0 2 6 11 = 11: 0 1 3 7 2: 0 4 9 10 subchroma modal system: 0 1 3 7 0 1 4 8 = 0 1 4 8 = 1: 0 3 7 11 1 2 5 11 = 1 2 5 11 = 11: 0 2 3 6 1: 0 1 4 10 2: 0 3 9 11 2 4 6 0 = 0 2 4 6 = 0: 0 2 4 6 2: 0 2 4 10 4 5 7 1 = 1 4 5 7 = 1: 0 3 4 6 5 6 8 2 = 2 5 6 8 = 2: 0 3 4 6 6 7 11 4 = 4 6 7 11 = 4: 0 2 3 7 7: 0 4 9 11 11: 0 5 7 8 7 8 0 5 = 0 5 7 8 = 5: 0 2 3 7 8: 0 4 9 11 0: 0 5 7 8 8 11 1 6 = 1 6 8 11 = 6: 0 2 5 7 11: 0 2 7 9 8: 0 3 5 10 1: 0 5 7 10 11 0 2 7 = 0 2 7 11 = 0: 0 2 7 11 7: 0 4 5 7 subchroma modal system: 0 1 4 5 0 1 5 6 = 0 1 5 6 = 5: 0 1 7 8 1: 0 4 5 11 6: 0 6 7 11 1 2 6 7 = 1 2 6 7 = 6: 0 1 7 8 2: 0 4 5 11 7: 0 6 7 11 2 4 7 8 = 2 4 7 8 = 4: 0 3 4 10 7: 0 1 7 9 4 5 8 11 = 4 5 8 11 = 4: 0 1 4 7 5: 0 3 6 11 5 6 11 0 = 0 5 6 11 = 5 11: 0 1 6 7 6 7 0 1 = 0 1 6 7 = 0 6: 0 1 6 7 7 8 1 2 = 1 2 7 8 = 1 7: 0 1 6 7 8 11 2 4 = 2 4 8 11 = 4: 0 4 7 10 11 0 4 5 = 0 4 5 11 = 4: 0 1 7 8 0: 0 4 5 11 5: 0 6 7 11 subchroma modal system: 0 1 4 6 0 1 5 7 = 0 1 5 7 = 0: 0 1 5 7 5: 0 2 7 8 1: 0 4 6 11 1 2 6 8 = 1 2 6 8 = 1: 0 1 5 7 6: 0 2 7 8 2: 0 4 6 11 2 4 7 11 = 2 4 7 11 = 7: 0 4 7 9 4: 0 3 7 10 4 5 8 0 = 0 4 5 8 = 5: 0 3 7 11 5 6 11 1 = 1 5 6 11 = 11: 0 2 6 7 1: 0 4 5 10 6: 0 5 7 11 6 7 0 2 = 0 2 6 7 = 0: 0 2 6 7 2: 0 4 5 10 7: 0 5 7 11 7 8 1 4 = 1 4 7 8 = 4: 0 3 4 9 1: 0 3 6 7 8 11 2 5 = 2 5 8 11 = 2 5 8 11: 0 3 6 9 11 0 4 6 = 0 4 6 11 = 11: 0 1 5 7 4: 0 2 7 8 0: 0 4 6 11 subchroma modal system: 0 1 4 7 0 1 5 8 = 0 1 5 8 = 5: 0 3 7 8 1: 0 4 7 11 1 2 6 11 = 1 2 6 11 = 11: 0 2 3 7 2: 0 4 9 11 6: 0 5 7 8 2 4 7 0 = 0 2 4 7 = 0: 0 2 4 7 7: 0 5 7 9 4 5 8 1 = 1 4 5 8 = 1: 0 3 4 7 4: 0 1 4 9 5 6 11 2 = 2 5 6 11 = 2: 0 3 4 9 11: 0 3 6 7 6 7 0 4 = 0 4 6 7 = 0: 0 4 6 7 7 8 1 5 = 1 5 7 8 = 1: 0 4 6 7 8 11 2 6 = 2 6 8 11 = 11: 0 3 7 9 8: 0 3 6 10 11 0 4 7 = 0 4 7 11 = 4: 0 3 7 8 0: 0 4 7 11 subchroma modal system: 0 1 5 7 0 1 6 8 = 0 1 6 8 = 6: 0 2 6 7 8: 0 4 5 10 1: 0 5 7 11 1 2 7 11 = 1 2 7 11 = 7: 0 4 6 7 2 4 8 0 = 0 2 4 8 = 4: 0 4 8 10 4 5 11 1 = 1 4 5 11 = 1: 0 3 4 10 4: 0 1 7 9 5 6 0 2 = 0 2 5 6 = 2: 0 3 4 10 5: 0 1 7 9 6 7 1 4 = 1 4 6 7 = 6: 0 1 7 10 1: 0 3 5 6 7 8 2 5 = 2 5 7 8 = 7: 0 1 7 10 2: 0 3 5 6 8 11 4 6 = 4 6 8 11 = 4: 0 2 4 7 11: 0 5 7 9 11 0 5 7 = 0 5 7 11 = 5: 0 2 6 7 7: 0 4 5 10 0: 0 5 7 11 subchroma modal system: 0 2 4 6 0 2 5 7 = 0 2 5 7 = 0: 0 2 5 7 5: 0 2 7 9 2: 0 3 5 10 7: 0 5 7 10 1 4 6 8 = 1 4 6 8 = 4: 0 2 4 9 6: 0 2 7 10 1: 0 3 5 7 2 5 7 11 = 2 5 7 11 = 7: 0 4 7 10 4 6 8 0 = 0 4 6 8 = 8: 0 4 8 10 5 7 11 1 = 1 5 7 11 = 1 7: 0 4 6 10 6 8 0 2 = 0 2 6 8 = 2 8: 0 4 6 10 7 11 1 4 = 1 4 7 11 = 4: 0 3 7 9 1: 0 3 6 10 8 0 2 5 = 0 2 5 8 = 5: 0 3 7 9 2: 0 3 6 10 11 1 4 6 = 1 4 6 11 = 11: 0 2 5 7 4: 0 2 7 9 1: 0 3 5 10 6: 0 5 7 10 subchroma modal system: 0 1 2 3 4 0 1 2 4 5 = 0 1 2 4 5 = 0: 0 1 2 4 5 1: 0 1 3 4 11 2: 0 2 3 10 11 5: 0 7 8 9 11 1 2 4 5 6 = 1 2 4 5 6 = 1: 0 1 3 4 5 2: 0 2 3 4 11 4: 0 1 2 9 10 6: 0 7 8 10 11 2 4 5 6 7 = 2 4 5 6 7 = 4: 0 1 2 3 10 7: 0 7 9 10 11 4 5 6 7 8 = 4 5 6 7 8 = 4: 0 1 2 3 4 5: 0 1 2 3 11 8: 0 8 9 10 11 5 6 7 8 11 = 5 6 7 8 11 = 5: 0 1 2 3 6 7: 0 1 4 10 11 8: 0 3 9 10 11 11: 0 6 7 8 9 6 7 8 11 0 = 0 6 7 8 11 = 7: 0 1 4 5 11 8: 0 3 4 10 11 11: 0 1 7 8 9 0: 0 6 7 8 11 7 8 11 0 1 = 0 1 7 8 11 = 8: 0 3 4 5 11 0: 0 1 7 8 11 1: 0 6 7 10 11 8 11 0 1 2 = 0 1 2 8 11 = 8: 0 3 4 5 6 1: 0 1 7 10 11 11 0 1 2 4 = 0 1 2 4 11 = 11: 0 1 2 3 5 0: 0 1 2 4 11 1: 0 1 3 10 11 2: 0 2 9 10 11 4: 0 7 8 9 10 subchroma modal system: 0 1 2 3 5 0 1 2 4 6 = 0 1 2 4 6 = 0: 0 1 2 4 6 2: 0 2 4 10 11 6: 0 6 7 8 10 1 2 4 5 7 = 1 2 4 5 7 = 1: 0 1 3 4 6 4: 0 1 3 9 10 7: 0 6 7 9 10 2 4 5 6 8 = 2 4 5 6 8 = 2: 0 2 3 4 6 4: 0 1 2 4 10 5: 0 1 3 9 11 4 5 6 7 11 = 4 5 6 7 11 = 4: 0 1 2 3 7 7: 0 4 9 10 11 5 6 7 8 0 = 0 5 6 7 8 = 5: 0 1 2 3 7 8: 0 4 9 10 11 6 7 8 11 1 = 1 6 7 8 11 = 6: 0 1 2 5 7 11: 0 2 7 8 9 1: 0 5 6 7 10 7 8 11 0 2 = 0 2 7 8 11 = 7: 0 1 4 5 7 8: 0 3 4 6 11 0: 0 2 7 8 11 8 11 0 1 4 = 0 1 4 8 11 = 0: 0 1 4 8 11 4: 0 4 7 8 9 1: 0 3 7 10 11 11 0 1 2 5 = 0 1 2 5 11 = 11: 0 1 2 3 6 1: 0 1 4 10 11 2: 0 3 9 10 11 5: 0 6 7 8 9 subchroma modal system: 0 1 2 3 6 0 1 2 4 7 = 0 1 2 4 7 = 0: 0 1 2 4 7 1: 0 1 3 6 11 1 2 4 5 8 = 1 2 4 5 8 = 1: 0 1 3 4 7 2: 0 2 3 6 11 4: 0 1 4 9 10 2 4 5 6 11 = 2 4 5 6 11 = 2: 0 2 3 4 9 4: 0 1 2 7 10 11: 0 3 5 6 7 4 5 6 7 0 = 0 4 5 6 7 = 5: 0 1 2 7 11 0: 0 4 5 6 7 5 6 7 8 1 = 1 5 6 7 8 = 6: 0 1 2 7 11 1: 0 4 5 6 7 6 7 8 11 2 = 2 6 7 8 11 = 7: 0 1 4 7 11 11: 0 3 7 8 9 8: 0 3 6 10 11 7 8 11 0 4 = 0 4 7 8 11 = 4: 0 3 4 7 8 8: 0 3 4 8 11 0: 0 4 7 8 11 8 11 0 1 5 = 0 1 5 8 11 = 5: 0 3 6 7 8 1: 0 4 7 10 11 11 0 1 2 6 = 0 1 2 6 11 = 11: 0 1 2 3 7 2: 0 4 9 10 11 subchroma modal system: 0 1 2 3 7 0 1 2 4 8 = 0 1 2 4 8 = 0: 0 1 2 4 8 1: 0 1 3 7 11 8: 0 4 5 6 8 4: 0 4 8 9 10 1 2 4 5 11 = 1 2 4 5 11 = 1: 0 1 3 4 10 11: 0 2 3 5 6 2: 0 2 3 9 11 4: 0 1 7 9 10 2 4 5 6 0 = 0 2 4 5 6 = 2: 0 2 3 4 10 0: 0 2 4 5 6 5: 0 1 7 9 11 4 5 6 7 1 = 1 4 5 6 7 = 1: 0 3 4 5 6 6: 0 1 7 10 11 5 6 7 8 2 = 2 5 6 7 8 = 2: 0 3 4 5 6 7: 0 1 7 10 11 6 7 8 11 4 = 4 6 7 8 11 = 4: 0 2 3 4 7 7: 0 1 4 9 11 11: 0 5 7 8 9 7 8 11 0 5 = 0 5 7 8 11 = 5: 0 2 3 6 7 7: 0 1 4 5 10 8: 0 3 4 9 11 0: 0 5 7 8 11 8 11 0 1 6 = 0 1 6 8 11 = 11: 0 1 2 7 9 8: 0 3 4 5 10 1: 0 5 7 10 11 11 0 1 2 7 = 0 1 2 7 11 = 0: 0 1 2 7 11 7: 0 4 5 6 7 subchroma modal system: 0 1 2 4 5 0 1 2 5 6 = 0 1 2 5 6 = 1: 0 1 4 5 11 2: 0 3 4 10 11 5: 0 1 7 8 9 6: 0 6 7 8 11 1 2 4 6 7 = 1 2 4 6 7 = 1: 0 1 3 5 6 4: 0 2 3 9 10 6: 0 1 7 8 10 7: 0 6 7 9 11 2 4 5 7 8 = 2 4 5 7 8 = 4: 0 1 3 4 10 2: 0 2 3 5 6 5: 0 2 3 9 11 7: 0 1 7 9 10 4 5 6 8 11 = 4 5 6 8 11 = 4: 0 1 2 4 7 5: 0 1 3 6 11 5 6 7 11 0 = 0 5 6 7 11 = 5: 0 1 2 6 7 11: 0 1 6 7 8 7: 0 4 5 10 11 0: 0 5 6 7 11 6 7 8 0 1 = 0 1 6 7 8 = 6: 0 1 2 6 7 0: 0 1 6 7 8 8: 0 4 5 10 11 1: 0 5 6 7 11 7 8 11 1 2 = 1 2 7 8 11 = 7: 0 1 4 6 7 1: 0 1 6 7 10 8 11 0 2 4 = 0 2 4 8 11 = 0: 0 2 4 8 11 4: 0 4 7 8 10 11 0 1 4 5 = 0 1 4 5 11 = 0: 0 1 4 5 11 1: 0 3 4 10 11 4: 0 1 7 8 9 5: 0 6 7 8 11 subchroma modal system: 0 1 2 4 6 0 1 2 5 7 = 0 1 2 5 7 = 0: 0 1 2 5 7 5: 0 2 7 8 9 7: 0 5 6 7 10 1 2 4 6 8 = 1 2 4 6 8 = 1: 0 1 3 5 7 2: 0 2 4 6 11 4: 0 2 4 9 10 6: 0 2 7 8 10 2 4 5 7 11 = 2 4 5 7 11 = 4: 0 1 3 7 10 11: 0 3 5 6 8 7: 0 4 7 9 10 4 5 6 8 0 = 0 4 5 6 8 = 4: 0 1 2 4 8 5: 0 1 3 7 11 0: 0 4 5 6 8 8: 0 4 8 9 10 5 6 7 11 1 = 1 5 6 7 11 = 11: 0 2 6 7 8 6: 0 1 5 7 11 1: 0 4 5 6 10 7: 0 4 6 10 11 6 7 8 0 2 = 0 2 6 7 8 = 0: 0 2 6 7 8 7: 0 1 5 7 11 2: 0 4 5 6 10 8: 0 4 6 10 11 7 8 11 1 4 = 1 4 7 8 11 = 4: 0 3 4 7 9 1: 0 3 6 7 10 8 11 0 2 5 = 0 2 5 8 11 = 11: 0 1 3 6 9 8: 0 3 4 6 9 5: 0 3 6 7 9 11 0 1 4 6 = 0 1 4 6 11 = 11: 0 1 2 5 7 4: 0 2 7 8 9 6: 0 5 6 7 10 subchroma modal system: 0 1 2 4 7 0 1 2 5 8 = 0 1 2 5 8 = 1: 0 1 4 7 11 5: 0 3 7 8 9 2: 0 3 6 10 11 1 2 4 6 11 = 1 2 4 6 11 = 11: 0 2 3 5 7 2: 0 2 4 9 11 4: 0 2 7 9 10 6: 0 5 7 8 10 2 4 5 7 0 = 0 2 4 5 7 = 0: 0 2 4 5 7 5: 0 2 7 9 11 7: 0 5 7 9 10 4 5 6 8 1 = 1 4 5 6 8 = 4: 0 1 2 4 9 1: 0 3 4 5 7 6: 0 2 7 10 11 5 6 7 11 2 = 2 5 6 7 11 = 11: 0 3 6 7 8 7: 0 4 7 10 11 6 7 8 0 4 = 0 4 6 7 8 = 4: 0 2 3 4 8 0: 0 4 6 7 8 8: 0 4 8 10 11 7 8 11 1 5 = 1 5 7 8 11 = 7: 0 1 4 6 10 1: 0 4 6 7 10 8 11 0 2 6 = 0 2 6 8 11 = 11: 0 1 3 7 9 8: 0 3 4 6 10 11 0 1 4 7 = 0 1 4 7 11 = 0: 0 1 4 7 11 4: 0 3 7 8 9 1: 0 3 6 10 11 subchroma modal system: 0 1 2 5 6 0 1 2 6 7 = 0 1 2 6 7 = 0: 0 1 2 6 7 6: 0 1 6 7 8 2: 0 4 5 10 11 7: 0 5 6 7 11 1 2 4 7 8 = 1 2 4 7 8 = 1: 0 1 3 6 7 4: 0 3 4 9 10 7: 0 1 6 7 9 2 4 5 8 11 = 2 4 5 8 11 = 4: 0 1 4 7 10 4 5 6 11 0 = 0 4 5 6 11 = 4: 0 1 2 7 8 11: 0 1 5 6 7 5: 0 1 6 7 11 5 6 7 0 1 = 0 1 5 6 7 = 5: 0 1 2 7 8 0: 0 1 5 6 7 6: 0 1 6 7 11 6 7 8 1 2 = 1 2 6 7 8 = 6: 0 1 2 7 8 1: 0 1 5 6 7 7: 0 1 6 7 11 7 8 11 2 4 = 2 4 7 8 11 = 7: 0 1 4 7 9 4: 0 3 4 7 10 8 11 0 4 5 = 0 4 5 8 11 = 4: 0 1 4 7 8 5: 0 3 6 7 11 11 0 1 5 6 = 0 1 5 6 11 = 11: 0 1 2 6 7 5: 0 1 6 7 8 1: 0 4 5 10 11 6: 0 5 6 7 11 subchroma modal system: 0 1 2 5 7 0 1 2 6 8 = 0 1 2 6 8 = 6: 0 2 6 7 8 1: 0 1 5 7 11 8: 0 4 5 6 10 2: 0 4 6 10 11 1 2 4 7 11 = 1 2 4 7 11 = 1: 0 1 3 6 10 7: 0 4 6 7 9 4: 0 3 7 9 10 2 4 5 8 0 = 0 2 4 5 8 = 4: 0 1 4 8 10 2: 0 2 3 6 10 5: 0 3 7 9 11 4 5 6 11 1 = 1 4 5 6 11 = 4: 0 1 2 7 9 1: 0 3 4 5 10 6: 0 5 7 10 11 5 6 7 0 2 = 0 2 5 6 7 = 5: 0 1 2 7 9 2: 0 3 4 5 10 7: 0 5 7 10 11 6 7 8 1 4 = 1 4 6 7 8 = 4: 0 2 3 4 9 6: 0 1 2 7 10 1: 0 3 5 6 7 7 8 11 2 5 = 2 5 7 8 11 = 7: 0 1 4 7 10 8 11 0 4 6 = 0 4 6 8 11 = 4: 0 2 4 7 8 8: 0 3 4 8 10 11: 0 1 5 7 9 11 0 1 5 7 = 0 1 5 7 11 = 5: 0 2 6 7 8 0: 0 1 5 7 11 7: 0 4 5 6 10 1: 0 4 6 10 11 subchroma modal system: 0 1 2 6 7 0 1 2 7 8 = 0 1 2 7 8 = 0: 0 1 2 7 8 7: 0 1 5 6 7 1: 0 1 6 7 11 1 2 4 8 11 = 1 2 4 8 11 = 1: 0 1 3 7 10 8: 0 3 5 6 8 4: 0 4 7 9 10 2 4 5 11 0 = 0 2 4 5 11 = 11: 0 1 3 5 6 2: 0 2 3 9 10 4: 0 1 7 8 10 5: 0 6 7 9 11 4 5 6 0 1 = 0 1 4 5 6 = 1: 0 3 4 5 11 5: 0 1 7 8 11 6: 0 6 7 10 11 5 6 7 1 2 = 1 2 5 6 7 = 2: 0 3 4 5 11 6: 0 1 7 8 11 7: 0 6 7 10 11 6 7 8 2 4 = 2 4 6 7 8 = 4: 0 2 3 4 10 2: 0 2 4 5 6 7: 0 1 7 9 11 7 8 11 4 5 = 4 5 7 8 11 = 4: 0 1 3 4 7 5: 0 2 3 6 11 7: 0 1 4 9 10 8 11 0 5 6 = 0 5 6 8 11 = 5: 0 1 3 6 7 8: 0 3 4 9 10 11: 0 1 6 7 9 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 3 4 6 0 1 4 5 7 = 0 1 4 5 7 = 0: 0 1 4 5 7 1: 0 3 4 6 11 5: 0 2 7 8 11 1 2 5 6 8 = 1 2 5 6 8 = 1: 0 1 4 5 7 2: 0 3 4 6 11 6: 0 2 7 8 11 2 4 6 7 11 = 2 4 6 7 11 = 4: 0 2 3 7 10 11: 0 3 5 7 8 7: 0 4 7 9 11 4 5 7 8 0 = 0 4 5 7 8 = 4: 0 1 3 4 8 5: 0 2 3 7 11 0: 0 4 5 7 8 5 6 8 11 1 = 1 5 6 8 11 = 11: 0 2 6 7 9 6: 0 2 5 7 11 1: 0 4 5 7 10 6 7 11 0 2 = 0 2 6 7 11 = 11: 0 1 3 7 8 0: 0 2 6 7 11 7: 0 4 5 7 11 7 8 0 1 4 = 0 1 4 7 8 = 0: 0 1 4 7 8 1: 0 3 6 7 11 8 11 1 2 5 = 1 2 5 8 11 = 1: 0 1 4 7 10 11 0 2 4 6 = 0 2 4 6 11 = 11: 0 1 3 5 7 0: 0 2 4 6 11 2: 0 2 4 9 10 4: 0 2 7 8 10 subchroma modal system: 0 1 3 4 7 0 1 4 5 8 = 0 1 4 5 8 = 1: 0 3 4 7 11 5: 0 3 7 8 11 1 2 5 6 11 = 1 2 5 6 11 = 11: 0 2 3 6 7 1: 0 1 4 5 10 2: 0 3 4 9 11 6: 0 5 7 8 11 2 4 6 7 0 = 0 2 4 6 7 = 0: 0 2 4 6 7 7: 0 5 7 9 11 4 5 7 8 1 = 1 4 5 7 8 = 4: 0 1 3 4 9 1: 0 3 4 6 7 5 6 8 11 2 = 2 5 6 8 11 = 5: 0 1 3 6 9 2: 0 3 4 6 9 11: 0 3 6 7 9 6 7 11 0 4 = 0 4 6 7 11 = 4: 0 2 3 7 8 11: 0 1 5 7 8 0: 0 4 6 7 11 7 8 0 1 5 = 0 1 5 7 8 = 5: 0 2 3 7 8 0: 0 1 5 7 8 1: 0 4 6 7 11 8 11 1 2 6 = 1 2 6 8 11 = 11: 0 2 3 7 9 6: 0 2 5 7 8 1: 0 1 5 7 10 8: 0 3 5 6 10 11 0 2 4 7 = 0 2 4 7 11 = 0: 0 2 4 7 11 7: 0 4 5 7 9 4: 0 3 7 8 10 subchroma modal system: 0 1 3 5 6 0 1 4 6 7 = 0 1 4 6 7 = 0: 0 1 4 6 7 6: 0 1 6 7 10 1 2 5 7 8 = 1 2 5 7 8 = 1: 0 1 4 6 7 7: 0 1 6 7 10 2 4 6 8 11 = 2 4 6 8 11 = 4: 0 2 4 7 10 11: 0 3 5 7 9 4 5 7 11 0 = 0 4 5 7 11 = 4: 0 1 3 7 8 5: 0 2 6 7 11 0: 0 4 5 7 11 5 6 8 0 1 = 0 1 5 6 8 = 5: 0 1 3 7 8 6: 0 2 6 7 11 1: 0 4 5 7 11 6 7 11 1 2 = 1 2 6 7 11 = 11: 0 2 3 7 8 6: 0 1 5 7 8 7: 0 4 6 7 11 7 8 0 2 4 = 0 2 4 7 8 = 0: 0 2 4 7 8 4: 0 3 4 8 10 7: 0 1 5 7 9 8 11 1 4 5 = 1 4 5 8 11 = 4: 0 1 4 7 9 1: 0 3 4 7 10 11 0 2 5 6 = 0 2 5 6 11 = 11: 0 1 3 6 7 2: 0 3 4 9 10 5: 0 1 6 7 9 subchroma modal system: 0 1 3 5 7 0 1 4 6 8 = 0 1 4 6 8 = 6: 0 2 6 7 10 1: 0 3 5 7 11 1 2 5 7 11 = 1 2 5 7 11 = 1: 0 1 4 6 10 7: 0 4 6 7 10 2 4 6 8 0 = 0 2 4 6 8 = 0: 0 2 4 6 8 2: 0 2 4 6 10 4: 0 2 4 8 10 4 5 7 11 1 = 1 4 5 7 11 = 4: 0 1 3 7 9 1: 0 3 4 6 10 5 6 8 0 2 = 0 2 5 6 8 = 5: 0 1 3 7 9 2: 0 3 4 6 10 6 7 11 1 4 = 1 4 6 7 11 = 4: 0 2 3 7 9 11: 0 2 5 7 8 6: 0 1 5 7 10 1: 0 3 5 6 10 7 8 0 2 5 = 0 2 5 7 8 = 5: 0 2 3 7 9 0: 0 2 5 7 8 7: 0 1 5 7 10 2: 0 3 5 6 10 8 11 1 4 6 = 1 4 6 8 11 = 4: 0 2 4 7 9 11: 0 2 5 7 9 6: 0 2 5 7 10 1: 0 3 5 7 10 11 0 2 5 7 = 0 2 5 7 11 = 5: 0 2 6 7 9 0: 0 2 5 7 11 7: 0 4 5 7 10 subchroma modal system: 0 1 2 3 4 5 0 1 2 4 5 6 = 0 1 2 4 5 6 = 0: 0 1 2 4 5 6 2: 0 2 3 4 10 11 5: 0 1 7 8 9 11 6: 0 6 7 8 10 11 1 2 4 5 6 7 = 1 2 4 5 6 7 = 2: 0 2 3 4 5 11 4: 0 1 2 3 9 10 6: 0 1 7 8 10 11 7: 0 6 7 9 10 11 2 4 5 6 7 8 = 2 4 5 6 7 8 = 4: 0 1 2 3 4 10 5: 0 1 2 3 9 11 7: 0 1 7 9 10 11 4 5 6 7 8 11 = 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 5: 0 1 2 3 6 11 7: 0 1 4 9 10 11 5 6 7 8 11 0 = 0 5 6 7 8 11 = 5: 0 1 2 3 6 7 7: 0 1 4 5 10 11 8: 0 3 4 9 10 11 6 7 8 11 0 1 = 0 1 6 7 8 11 = 6: 0 1 2 5 6 7 11: 0 1 2 7 8 9 8: 0 3 4 5 10 11 0: 0 1 6 7 8 11 1: 0 5 6 7 10 11 7 8 11 0 1 2 = 0 1 2 7 8 11 = 0: 0 1 2 7 8 11 7: 0 1 4 5 6 7 8: 0 3 4 5 6 11 1: 0 1 6 7 10 11 8 11 0 1 2 4 = 0 1 2 4 8 11 = 1: 0 1 3 7 10 11 4: 0 4 7 8 9 10 11 0 1 2 4 5 = 0 1 2 4 5 11 = 11: 0 1 2 3 5 6 0: 0 1 2 4 5 11 1: 0 1 3 4 10 11 2: 0 2 3 9 10 11 4: 0 1 7 8 9 10 5: 0 6 7 8 9 11 subchroma modal system: 0 1 2 3 4 6 0 1 2 4 5 7 = 0 1 2 4 5 7 = 0: 0 1 2 4 5 7 2: 0 2 3 5 10 11 5: 0 2 7 8 9 11 1 2 4 5 6 8 = 1 2 4 5 6 8 = 1: 0 1 3 4 5 7 2: 0 2 3 4 6 11 4: 0 1 2 4 9 10 6: 0 2 7 8 10 11 2 4 5 6 7 11 = 2 4 5 6 7 11 = 4: 0 1 2 3 7 10 7: 0 4 7 9 10 11 4 5 6 7 8 0 = 0 4 5 6 7 8 = 4: 0 1 2 3 4 8 5: 0 1 2 3 7 11 6: 0 1 2 6 10 11 0: 0 4 5 6 7 8 8: 0 4 8 9 10 11 5 6 7 8 11 1 = 1 5 6 7 8 11 = 6: 0 1 2 5 7 11 1: 0 4 5 6 7 10 6 7 8 11 0 2 = 0 2 6 7 8 11 = 7: 0 1 4 5 7 11 11: 0 1 3 7 8 9 8: 0 3 4 6 10 11 0: 0 2 6 7 8 11 7 8 11 0 1 4 = 0 1 4 7 8 11 = 4: 0 3 4 7 8 9 0: 0 1 4 7 8 11 1: 0 3 6 7 10 11 8 11 0 1 2 5 = 0 1 2 5 8 11 = 1: 0 1 4 7 10 11 5: 0 3 6 7 8 9 11 0 1 2 4 6 = 0 1 2 4 6 11 = 11: 0 1 2 3 5 7 0: 0 1 2 4 6 11 1: 0 1 3 5 10 11 2: 0 2 4 9 10 11 4: 0 2 7 8 9 10 subchroma modal system: 0 1 2 3 4 7 0 1 2 4 5 8 = 0 1 2 4 5 8 = 1: 0 1 3 4 7 11 5: 0 3 7 8 9 11 1 2 4 5 6 11 = 1 2 4 5 6 11 = 2: 0 2 3 4 9 11 4: 0 1 2 7 9 10 11: 0 2 3 5 6 7 6: 0 5 7 8 10 11 2 4 5 6 7 0 = 0 2 4 5 6 7 = 2: 0 2 3 4 5 10 5: 0 1 2 7 9 11 0: 0 2 4 5 6 7 7: 0 5 7 9 10 11 4 5 6 7 8 1 = 1 4 5 6 7 8 = 4: 0 1 2 3 4 9 6: 0 1 2 7 10 11 1: 0 3 4 5 6 7 5 6 7 8 11 2 = 2 5 6 7 8 11 = 7: 0 1 4 7 10 11 11: 0 3 6 7 8 9 6 7 8 11 0 4 = 0 4 6 7 8 11 = 4: 0 2 3 4 7 8 8: 0 3 4 8 10 11 0: 0 4 6 7 8 11 7 8 11 0 1 5 = 0 1 5 7 8 11 = 5: 0 2 3 6 7 8 0: 0 1 5 7 8 11 1: 0 4 6 7 10 11 8 11 0 1 2 6 = 0 1 2 6 8 11 = 11: 0 1 2 3 7 9 8: 0 3 4 5 6 10 1: 0 1 5 7 10 11 2: 0 4 6 9 10 11 11 0 1 2 4 7 = 0 1 2 4 7 11 = 0: 0 1 2 4 7 11 7: 0 4 5 6 7 9 4: 0 3 7 8 9 10 subchroma modal system: 0 1 2 3 5 6 0 1 2 4 6 7 = 0 1 2 4 6 7 = 0: 0 1 2 4 6 7 2: 0 2 4 5 10 11 6: 0 1 6 7 8 10 1 2 4 5 7 8 = 1 2 4 5 7 8 = 1: 0 1 3 4 6 7 4: 0 1 3 4 9 10 2: 0 2 3 5 6 11 7: 0 1 6 7 9 10 2 4 5 6 8 11 = 2 4 5 6 8 11 = 2: 0 2 3 4 6 9 4: 0 1 2 4 7 10 11: 0 3 5 6 7 9 4 5 6 7 11 0 = 0 4 5 6 7 11 = 4: 0 1 2 3 7 8 5: 0 1 2 6 7 11 0: 0 4 5 6 7 11 5 6 7 8 0 1 = 0 1 5 6 7 8 = 5: 0 1 2 3 7 8 6: 0 1 2 6 7 11 1: 0 4 5 6 7 11 6 7 8 11 1 2 = 1 2 6 7 8 11 = 7: 0 1 4 6 7 11 11: 0 2 3 7 8 9 8: 0 3 5 6 10 11 7 8 11 0 2 4 = 0 2 4 7 8 11 = 7: 0 1 4 5 7 9 0: 0 2 4 7 8 11 4: 0 3 4 7 8 10 8 11 0 1 4 5 = 0 1 4 5 8 11 = 4: 0 1 4 7 8 9 1: 0 3 4 7 10 11 5: 0 3 6 7 8 11 11 0 1 2 5 6 = 0 1 2 5 6 11 = 11: 0 1 2 3 6 7 1: 0 1 4 5 10 11 2: 0 3 4 9 10 11 subchroma modal system: 0 1 2 3 5 7 0 1 2 4 6 8 = 0 1 2 4 6 8 = 0: 0 1 2 4 6 8 1: 0 1 3 5 7 11 4: 0 2 4 8 9 10 6: 0 2 6 7 8 10 1 2 4 5 7 11 = 1 2 4 5 7 11 = 11: 0 2 3 5 6 8 4: 0 1 3 7 9 10 7: 0 4 6 7 9 10 2 4 5 6 8 0 = 0 2 4 5 6 8 = 4: 0 1 2 4 8 10 2: 0 2 3 4 6 10 5: 0 1 3 7 9 11 4 5 6 7 11 1 = 1 4 5 6 7 11 = 4: 0 1 2 3 7 9 1: 0 3 4 5 6 10 6: 0 1 5 7 10 11 7: 0 4 6 9 10 11 5 6 7 8 0 2 = 0 2 5 6 7 8 = 5: 0 1 2 3 7 9 2: 0 3 4 5 6 10 7: 0 1 5 7 10 11 8: 0 4 6 9 10 11 6 7 8 11 1 4 = 1 4 6 7 8 11 = 4: 0 2 3 4 7 9 6: 0 1 2 5 7 10 1: 0 3 5 6 7 10 7 8 11 0 2 5 = 0 2 5 7 8 11 = 5: 0 2 3 6 7 9 7: 0 1 4 5 7 10 0: 0 2 5 7 8 11 8 11 0 1 4 6 = 0 1 4 6 8 11 = 11: 0 1 2 5 7 9 4: 0 2 4 7 8 9 1: 0 3 5 7 10 11 11 0 1 2 5 7 = 0 1 2 5 7 11 = 0: 0 1 2 5 7 11 7: 0 4 5 6 7 10 subchroma modal system: 0 1 2 3 6 7 0 1 2 4 7 8 = 0 1 2 4 7 8 = 0: 0 1 2 4 7 8 1: 0 1 3 6 7 11 4: 0 3 4 8 9 10 1 2 4 5 8 11 = 1 2 4 5 8 11 = 1: 0 1 3 4 7 10 4: 0 1 4 7 9 10 2 4 5 6 11 0 = 0 2 4 5 6 11 = 2: 0 2 3 4 9 10 4: 0 1 2 7 8 10 11: 0 1 3 5 6 7 0: 0 2 4 5 6 11 5: 0 1 6 7 9 11 4 5 6 7 0 1 = 0 1 4 5 6 7 = 5: 0 1 2 7 8 11 0: 0 1 4 5 6 7 1: 0 3 4 5 6 11 6: 0 1 6 7 10 11 5 6 7 8 1 2 = 1 2 5 6 7 8 = 6: 0 1 2 7 8 11 1: 0 1 4 5 6 7 2: 0 3 4 5 6 11 7: 0 1 6 7 10 11 6 7 8 11 2 4 = 2 4 6 7 8 11 = 4: 0 2 3 4 7 10 7: 0 1 4 7 9 11 11: 0 3 5 7 8 9 7 8 11 0 4 5 = 0 4 5 7 8 11 = 4: 0 1 3 4 7 8 5: 0 2 3 6 7 11 8: 0 3 4 8 9 11 0: 0 4 5 7 8 11 8 11 0 1 5 6 = 0 1 5 6 8 11 = 11: 0 1 2 6 7 9 5: 0 1 3 6 7 8 6: 0 2 5 6 7 11 1: 0 4 5 7 10 11 11 0 1 2 6 7 = 0 1 2 6 7 11 = 11: 0 1 2 3 7 8 0: 0 1 2 6 7 11 7: 0 4 5 6 7 11 subchroma modal system: 0 1 2 4 5 6 0 1 2 5 6 7 = 0 1 2 5 6 7 = 0: 0 1 2 5 6 7 5: 0 1 2 7 8 9 2: 0 3 4 5 10 11 6: 0 1 6 7 8 11 7: 0 5 6 7 10 11 1 2 4 6 7 8 = 1 2 4 6 7 8 = 4: 0 2 3 4 9 10 6: 0 1 2 7 8 10 1: 0 1 3 5 6 7 2: 0 2 4 5 6 11 7: 0 1 6 7 9 11 2 4 5 7 8 11 = 2 4 5 7 8 11 = 4: 0 1 3 4 7 10 7: 0 1 4 7 9 10 4 5 6 8 11 0 = 0 4 5 6 8 11 = 4: 0 1 2 4 7 8 5: 0 1 3 6 7 11 8: 0 3 4 8 9 10 5 6 7 11 0 1 = 0 1 5 6 7 11 = 0 6: 0 1 5 6 7 11 1 7: 0 4 5 6 10 11 6 7 8 0 1 2 = 0 1 2 6 7 8 = 1 7: 0 1 5 6 7 11 2 8: 0 4 5 6 10 11 7 8 11 1 2 4 = 1 2 4 7 8 11 = 7: 0 1 4 6 7 9 1: 0 1 3 6 7 10 4: 0 3 4 7 9 10 8 11 0 2 4 5 = 0 2 4 5 8 11 = 4: 0 1 4 7 8 10 5: 0 3 6 7 9 11 11 0 1 4 5 6 = 0 1 4 5 6 11 = 11: 0 1 2 5 6 7 4: 0 1 2 7 8 9 1: 0 3 4 5 10 11 5: 0 1 6 7 8 11 6: 0 5 6 7 10 11 subchroma modal system: 0 1 2 4 5 7 0 1 2 5 6 8 = 0 1 2 5 6 8 = 1: 0 1 4 5 7 11 5: 0 1 3 7 8 9 2: 0 3 4 6 10 11 6: 0 2 6 7 8 11 1 2 4 6 7 11 = 1 2 4 6 7 11 = 11: 0 2 3 5 7 8 4: 0 2 3 7 9 10 6: 0 1 5 7 8 10 7: 0 4 6 7 9 11 2 4 5 7 8 0 = 0 2 4 5 7 8 = 4: 0 1 3 4 8 10 0: 0 2 4 5 7 8 2: 0 2 3 5 6 10 5: 0 2 3 7 9 11 7: 0 1 5 7 9 10 4 5 6 8 11 1 = 1 4 5 6 8 11 = 4: 0 1 2 4 7 9 1: 0 3 4 5 7 10 6: 0 2 5 7 10 11 5 6 7 11 0 2 = 0 2 5 6 7 11 = 5: 0 1 2 6 7 9 11: 0 1 3 6 7 8 0: 0 2 5 6 7 11 7: 0 4 5 7 10 11 6 7 8 0 1 4 = 0 1 4 6 7 8 = 6: 0 1 2 6 7 10 0: 0 1 4 6 7 8 1: 0 3 5 6 7 11 7 8 11 1 2 5 = 1 2 5 7 8 11 = 1 7: 0 1 4 6 7 10 8 11 0 2 4 6 = 0 2 4 6 8 11 = 11: 0 1 3 5 7 9 4: 0 2 4 7 8 10 11 0 1 4 5 7 = 0 1 4 5 7 11 = 0: 0 1 4 5 7 11 4: 0 1 3 7 8 9 1: 0 3 4 6 10 11 5: 0 2 6 7 8 11 subchroma modal system: 0 1 2 4 6 7 0 1 2 5 7 8 = 0 1 2 5 7 8 = 1: 0 1 4 6 7 11 5: 0 2 3 7 8 9 2: 0 3 5 6 10 11 1 2 4 6 8 11 = 1 2 4 6 8 11 = 11: 0 2 3 5 7 9 1: 0 1 3 5 7 10 4: 0 2 4 7 9 10 6: 0 2 5 7 8 10 2 4 5 7 11 0 = 0 2 4 5 7 11 = 0: 0 2 4 5 7 11 4: 0 1 3 7 8 10 5: 0 2 6 7 9 11 7: 0 4 5 7 9 10 4 5 6 8 0 1 = 0 1 4 5 6 8 = 4: 0 1 2 4 8 9 1: 0 3 4 5 7 11 5: 0 1 3 7 8 11 6: 0 2 6 7 10 11 5 6 7 11 1 2 = 1 2 5 6 7 11 = 11: 0 2 3 6 7 8 6: 0 1 5 7 8 11 7: 0 4 6 7 10 11 6 7 8 0 2 4 = 0 2 4 6 7 8 = 4: 0 2 3 4 8 10 0: 0 2 4 6 7 8 7: 0 1 5 7 9 11 7 8 11 1 4 5 = 1 4 5 7 8 11 = 4: 0 1 3 4 7 9 1: 0 3 4 6 7 10 8 11 0 2 5 6 = 0 2 5 6 8 11 = 5 11: 0 1 3 6 7 9 11 0 1 4 6 7 = 0 1 4 6 7 11 = 0: 0 1 4 6 7 11 4: 0 2 3 7 8 9 1: 0 3 5 6 10 11 subchroma modal system: 0 1 3 4 6 7 0 1 4 5 7 8 = 0 1 4 5 7 8 = 0: 0 1 4 5 7 8 1: 0 3 4 6 7 11 5: 0 2 3 7 8 11 1 2 5 6 8 11 = 1 2 5 6 8 11 = 11: 0 2 3 6 7 9 1: 0 1 4 5 7 10 6: 0 2 5 7 8 11 2 4 6 7 11 0 = 0 2 4 6 7 11 = 11: 0 1 3 5 7 8 0: 0 2 4 6 7 11 4: 0 2 3 7 8 10 7: 0 4 5 7 9 11 4 5 7 8 0 1 = 0 1 4 5 7 8 = 0: 0 1 4 5 7 8 1: 0 3 4 6 7 11 5: 0 2 3 7 8 11 5 6 8 11 1 2 = 1 2 5 6 8 11 = 11: 0 2 3 6 7 9 1: 0 1 4 5 7 10 6: 0 2 5 7 8 11 6 7 11 0 2 4 = 0 2 4 6 7 11 = 11: 0 1 3 5 7 8 0: 0 2 4 6 7 11 4: 0 2 3 7 8 10 7: 0 4 5 7 9 11 7 8 0 1 4 5 = 0 1 4 5 7 8 = 0: 0 1 4 5 7 8 1: 0 3 4 6 7 11 5: 0 2 3 7 8 11 8 11 1 2 5 6 = 1 2 5 6 8 11 = 11: 0 2 3 6 7 9 1: 0 1 4 5 7 10 6: 0 2 5 7 8 11 11 0 2 4 6 7 = 0 2 4 6 7 11 = 11: 0 1 3 5 7 8 0: 0 2 4 6 7 11 4: 0 2 3 7 8 10 7: 0 4 5 7 9 11 subchroma modal system: 0 1 2 3 4 5 6 0 1 2 4 5 6 7 = 0 1 2 4 5 6 7 = 0: 0 1 2 4 5 6 7 2: 0 2 3 4 5 10 11 5: 0 1 2 7 8 9 11 6: 0 1 6 7 8 10 11 7: 0 5 6 7 9 10 11 1 2 4 5 6 7 8 = 1 2 4 5 6 7 8 = 4: 0 1 2 3 4 9 10 1: 0 1 3 4 5 6 7 2: 0 2 3 4 5 6 11 6: 0 1 2 7 8 10 11 7: 0 1 6 7 9 10 11 2 4 5 6 7 8 11 = 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 10 2: 0 2 3 4 5 6 9 7: 0 1 4 7 9 10 11 11: 0 3 5 6 7 8 9 4 5 6 7 8 11 0 = 0 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 5: 0 1 2 3 6 7 11 8: 0 3 4 8 9 10 11 0: 0 4 5 6 7 8 11 5 6 7 8 11 0 1 = 0 1 5 6 7 8 11 = 5: 0 1 2 3 6 7 8 7: 0 1 4 5 6 10 11 8: 0 3 4 5 9 10 11 1: 0 4 5 6 7 10 11 6 7 8 11 0 1 2 = 0 1 2 6 7 8 11 = 11: 0 1 2 3 7 8 9 0: 0 1 2 6 7 8 11 7: 0 1 4 5 6 7 11 8: 0 3 4 5 6 10 11 1: 0 1 5 6 7 10 11 2: 0 4 5 6 9 10 11 7 8 11 0 1 2 4 = 0 1 2 4 7 8 11 = 0: 0 1 2 4 7 8 11 7: 0 1 4 5 6 7 9 1: 0 1 3 6 7 10 11 8: 0 3 4 5 6 8 11 4: 0 3 4 7 8 9 10 8 11 0 1 2 4 5 = 0 1 2 4 5 8 11 = 1: 0 1 3 4 7 10 11 4: 0 1 4 7 8 9 10 2: 0 2 3 6 9 10 11 5: 0 3 6 7 8 9 11 11 0 1 2 4 5 6 = 0 1 2 4 5 6 11 = 11: 0 1 2 3 5 6 7 0: 0 1 2 4 5 6 11 1: 0 1 3 4 5 10 11 2: 0 2 3 4 9 10 11 4: 0 1 2 7 8 9 10 5: 0 1 6 7 8 9 11 subchroma modal system: 0 1 2 3 4 5 7 0 1 2 4 5 6 8 = 0 1 2 4 5 6 8 = 1: 0 1 3 4 5 7 11 2: 0 2 3 4 6 10 11 5: 0 1 3 7 8 9 11 6: 0 2 6 7 8 10 11 1 2 4 5 6 7 11 = 1 2 4 5 6 7 11 = 4: 0 1 2 3 7 9 10 11: 0 2 3 5 6 7 8 6: 0 1 5 7 8 10 11 7: 0 4 6 7 9 10 11 2 4 5 6 7 8 0 = 0 2 4 5 6 7 8 = 4: 0 1 2 3 4 8 10 2: 0 2 3 4 5 6 10 5: 0 1 2 3 7 9 11 0: 0 2 4 5 6 7 8 7: 0 1 5 7 9 10 11 4 5 6 7 8 11 1 = 1 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 9 6: 0 1 2 5 7 10 11 1: 0 3 4 5 6 7 10 5 6 7 8 11 0 2 = 0 2 5 6 7 8 11 = 5: 0 1 2 3 6 7 9 11: 0 1 3 6 7 8 9 7: 0 1 4 5 7 10 11 2: 0 3 4 5 6 9 10 8: 0 3 4 6 9 10 11 6 7 8 11 0 1 4 = 0 1 4 6 7 8 11 = 4: 0 2 3 4 7 8 9 7: 0 1 4 5 6 9 11 0: 0 1 4 6 7 8 11 8: 0 3 4 5 8 10 11 1: 0 3 5 6 7 10 11 7 8 11 0 1 2 5 = 0 1 2 5 7 8 11 = 0: 0 1 2 5 7 8 11 7: 0 1 4 5 6 7 10 5: 0 2 3 6 7 8 9 1: 0 1 4 6 7 10 11 8: 0 3 4 5 6 9 11 8 11 0 1 2 4 6 = 0 1 2 4 6 8 11 = 11: 0 1 2 3 5 7 9 1: 0 1 3 5 7 10 11 8: 0 3 4 5 6 8 10 4: 0 2 4 7 8 9 10 11 0 1 2 4 5 7 = 0 1 2 4 5 7 11 = 0: 0 1 2 4 5 7 11 1: 0 1 3 4 6 10 11 2: 0 2 3 5 9 10 11 4: 0 1 3 7 8 9 10 5: 0 2 6 7 8 9 11 7: 0 4 5 6 7 9 10 subchroma modal system: 0 1 2 3 4 6 7 0 1 2 4 5 7 8 = 0 1 2 4 5 7 8 = 0: 0 1 2 4 5 7 8 1: 0 1 3 4 6 7 11 2: 0 2 3 5 6 10 11 5: 0 2 3 7 8 9 11 1 2 4 5 6 8 11 = 1 2 4 5 6 8 11 = 1: 0 1 3 4 5 7 10 4: 0 1 2 4 7 9 10 11: 0 2 3 5 6 7 9 5: 0 1 3 6 8 9 11 6: 0 2 5 7 8 10 11 2 4 5 6 7 11 0 = 0 2 4 5 6 7 11 = 2: 0 2 3 4 5 9 10 4: 0 1 2 3 7 8 10 5: 0 1 2 6 7 9 11 11: 0 1 3 5 6 7 8 0: 0 2 4 5 6 7 11 7: 0 4 5 7 9 10 11 4 5 6 7 8 0 1 = 0 1 4 5 6 7 8 = 5: 0 1 2 3 7 8 11 6: 0 1 2 6 7 10 11 0: 0 1 4 5 6 7 8 1: 0 3 4 5 6 7 11 5 6 7 8 11 1 2 = 1 2 5 6 7 8 11 = 6: 0 1 2 5 7 8 11 1: 0 1 4 5 6 7 10 11: 0 2 3 6 7 8 9 7: 0 1 4 6 7 10 11 2: 0 3 4 5 6 9 11 6 7 8 11 0 2 4 = 0 2 4 6 7 8 11 = 4: 0 2 3 4 7 8 10 11: 0 1 3 5 7 8 9 7: 0 1 4 5 7 9 11 2: 0 2 4 5 6 9 10 0: 0 2 4 6 7 8 11 8: 0 3 4 6 8 10 11 7 8 11 0 1 4 5 = 0 1 4 5 7 8 11 = 4: 0 1 3 4 7 8 9 7: 0 1 4 5 6 9 10 0: 0 1 4 5 7 8 11 5: 0 2 3 6 7 8 11 8: 0 3 4 5 8 9 11 1: 0 3 4 6 7 10 11 8 11 0 1 2 5 6 = 0 1 2 5 6 8 11 = 11: 0 1 2 3 6 7 9 5: 0 1 3 6 7 8 9 1: 0 1 4 5 7 10 11 8: 0 3 4 5 6 9 10 2: 0 3 4 6 9 10 11 11 0 1 2 4 6 7 = 0 1 2 4 6 7 11 = 11: 0 1 2 3 5 7 8 0: 0 1 2 4 6 7 11 1: 0 1 3 5 6 10 11 4: 0 2 3 7 8 9 10 6: 0 1 5 6 7 8 10 7: 0 4 5 6 7 9 11 subchroma modal system: 0 1 2 3 5 6 7 0 1 2 4 6 7 8 = 0 1 2 4 6 7 8 = 0: 0 1 2 4 6 7 8 6: 0 1 2 6 7 8 10 1: 0 1 3 5 6 7 11 2: 0 2 4 5 6 10 11 1 2 4 5 7 8 11 = 1 2 4 5 7 8 11 = 1: 0 1 3 4 6 7 10 4: 0 1 3 4 7 9 10 7: 0 1 4 6 7 9 10 2: 0 2 3 5 6 9 11 5: 0 2 3 6 8 9 11 2 4 5 6 8 11 0 = 0 2 4 5 6 8 11 = 4: 0 1 2 4 7 8 10 5: 0 1 3 6 7 9 11 0: 0 2 4 5 6 8 11 8: 0 3 4 6 8 9 10 4 5 6 7 11 0 1 = 0 1 4 5 6 7 11 = 4: 0 1 2 3 7 8 9 5: 0 1 2 6 7 8 11 0: 0 1 4 5 6 7 11 1: 0 3 4 5 6 10 11 6: 0 1 5 6 7 10 11 7: 0 4 5 6 9 10 11 5 6 7 8 0 1 2 = 0 1 2 5 6 7 8 = 5: 0 1 2 3 7 8 9 6: 0 1 2 6 7 8 11 1: 0 1 4 5 6 7 11 2: 0 3 4 5 6 10 11 7: 0 1 5 6 7 10 11 8: 0 4 5 6 9 10 11 6 7 8 11 1 2 4 = 1 2 4 6 7 8 11 = 4: 0 2 3 4 7 9 10 6: 0 1 2 5 7 8 10 1: 0 1 3 5 6 7 10 11: 0 2 3 5 7 8 9 7: 0 1 4 6 7 9 11 2: 0 2 4 5 6 9 11 7 8 11 0 2 4 5 = 0 2 4 5 7 8 11 = 4: 0 1 3 4 7 8 10 7: 0 1 4 5 7 9 10 2: 0 2 3 5 6 9 10 5: 0 2 3 6 7 9 11 0: 0 2 4 5 7 8 11 8: 0 3 4 6 8 9 11 8 11 0 1 4 5 6 = 0 1 4 5 6 8 11 = 4: 0 1 2 4 7 8 9 5: 0 1 3 6 7 8 11 0: 0 1 4 5 6 8 11 1: 0 3 4 5 7 10 11 8: 0 3 4 5 8 9 10 6: 0 2 5 6 7 10 11 11 0 1 2 5 6 7 = 0 1 2 5 6 7 11 = 11: 0 1 2 3 6 7 8 1: 0 1 4 5 6 10 11 2: 0 3 4 5 9 10 11 7: 0 4 5 6 7 10 11 subchroma modal system: 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 8 = 0 1 2 4 5 6 7 8 = 0: 0 1 2 4 5 6 7 8 1: 0 1 3 4 5 6 7 11 2: 0 2 3 4 5 6 10 11 5: 0 1 2 3 7 8 9 11 6: 0 1 2 6 7 8 10 11 7: 0 1 5 6 7 9 10 11 1 2 4 5 6 7 8 11 = 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 9 10 1: 0 1 3 4 5 6 7 10 6: 0 1 2 5 7 8 10 11 11: 0 2 3 5 6 7 8 9 7: 0 1 4 6 7 9 10 11 2 4 5 6 7 8 11 0 = 0 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 10 5: 0 1 2 3 6 7 9 11 2: 0 2 3 4 5 6 9 10 11: 0 1 3 5 6 7 8 9 0: 0 2 4 5 6 7 8 11 7: 0 1 4 5 7 9 10 11 4 5 6 7 8 11 0 1 = 0 1 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 5: 0 1 2 3 6 7 8 11 11: 0 1 2 5 6 7 8 9 6: 0 1 2 5 6 7 10 11 0: 0 1 4 5 6 7 8 11 1: 0 3 4 5 6 7 10 11 5 6 7 8 11 0 1 2 = 0 1 2 5 6 7 8 11 = 5 11: 0 1 2 3 6 7 8 9 0 6: 0 1 2 5 6 7 8 11 1 7: 0 1 4 5 6 7 10 11 2 8: 0 3 4 5 6 9 10 11 6 7 8 11 0 1 2 4 = 0 1 2 4 6 7 8 11 = 11: 0 1 2 3 5 7 8 9 0: 0 1 2 4 6 7 8 11 4: 0 2 3 4 7 8 9 10 6: 0 1 2 5 6 7 8 10 1: 0 1 3 5 6 7 10 11 7: 0 1 4 5 6 7 9 11 2: 0 2 4 5 6 9 10 11 7 8 11 0 1 2 4 5 = 0 1 2 4 5 7 8 11 = 0: 0 1 2 4 5 7 8 11 1: 0 1 3 4 6 7 10 11 4: 0 1 3 4 7 8 9 10 7: 0 1 4 5 6 7 9 10 5: 0 2 3 6 7 8 9 11 8 11 0 1 2 4 5 6 = 0 1 2 4 5 6 8 11 = 11: 0 1 2 3 5 6 7 9 1: 0 1 3 4 5 7 10 11 4: 0 1 2 4 7 8 9 10 2: 0 2 3 4 6 9 10 11 5: 0 1 3 6 7 8 9 11 6: 0 2 5 6 7 8 10 11 11 0 1 2 4 5 6 7 = 0 1 2 4 5 6 7 11 = 0: 0 1 2 4 5 6 7 11 4: 0 1 2 3 7 8 9 10 7: 0 4 5 6 7 9 10 11 subchroma modal system: 0 1 2 3 4 5 6 7 8 0 1 2 4 5 6 7 8 11 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 1 2 4 5 6 7 8 11 0 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 2 4 5 6 7 8 11 0 1 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 4 5 6 7 8 11 0 1 2 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 5 6 7 8 11 0 1 2 4 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 6 7 8 11 0 1 2 4 5 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 7 8 11 0 1 2 4 5 6 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 8 11 0 1 2 4 5 6 7 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 11 0 1 2 4 5 6 7 8 = 0 1 2 4 5 6 7 8 11 = 4: 0 1 2 3 4 7 8 9 10 11: 0 1 2 3 5 6 7 8 9 0: 0 1 2 4 5 6 7 8 11 1: 0 1 3 4 5 6 7 10 11 5: 0 1 2 3 6 7 8 9 11 2: 0 2 3 4 5 6 9 10 11 7: 0 1 4 5 6 7 9 10 11 Subset Chord Types by Root Set 0 :0 1 2 4 5 0 :0 1 2 4 6 0 :0 1 2 4 11 0 :0 2 4 5 7 0 :0 2 4 6 7 0 :0 2 4 6 8 0 :0 1 4 8 11 0 :0 2 4 7 11 0 :0 2 4 8 11 0 :0 4 5 7 8 0 :0 4 6 7 8 0 :0 4 7 8 11 0 :0 1 2 4 5 6 0 :0 1 2 4 5 7 0 :0 1 2 4 6 7 0 :0 1 2 4 6 8 0 :0 1 2 4 5 11 0 :0 1 2 4 6 11 0 :0 1 2 4 7 11 0 :0 2 4 5 6 7 0 :0 1 4 5 7 8 0 :0 1 4 6 7 8 0 :0 2 4 5 7 8 0 :0 2 4 6 7 8 0 :0 2 4 5 7 11 0 :0 2 4 6 7 11 0 :0 1 4 7 8 11 0 :0 2 4 7 8 11 0 :0 4 5 6 7 8 0 :0 4 5 7 8 11 0 :0 4 6 7 8 11 0 :0 1 2 4 5 6 7 0 :0 1 2 4 5 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5 :0 2 6 7 9 11 5 :0 1 7 8 9 11 5 :0 2 7 8 9 11 5 :0 3 6 7 8 11 5 :0 3 6 7 9 11 5 :0 3 7 8 9 11 5 :0 6 7 8 9 11 5 :0 1 2 3 6 7 11 5 :0 1 2 3 7 8 11 5 :0 1 2 3 7 9 11 5 :0 1 2 6 7 9 11 5 :0 1 2 7 8 9 11 5 :0 1 3 6 7 8 11 5 :0 1 3 6 7 9 11 5 :0 1 3 6 8 9 11 5 :0 2 3 6 7 8 11 5 :0 2 3 6 7 9 11 5 :0 2 3 6 8 9 11 5 :0 1 3 7 8 9 11 5 :0 2 3 7 8 9 11 5 :0 1 6 7 8 9 11 5 :0 2 6 7 8 9 11 5 :0 3 6 7 8 9 11 5 :0 1 2 3 6 7 8 11 5 :0 1 2 3 6 7 9 11 5 :0 1 2 3 7 8 9 11 5 :0 1 3 6 7 8 9 11 5 :0 2 3 6 7 8 9 11 5 :0 1 2 3 6 7 8 9 11 5 7 :0 7 9 11 5 7 :0 1 7 9 11 5 7 :0 6 7 9 11 5 7 :0 1 6 7 9 11 5 7 11 :0 6 7 9 5 7 11 :0 1 6 7 9 5 11 :0 1 2 3 6 5 11 :0 2 3 6 7 5 11 :0 1 3 6 9 5 11 :0 2 6 7 9 5 11 :0 3 6 7 8 5 11 :0 3 6 7 9 5 11 :0 6 7 8 9 5 11 :0 1 2 3 6 7 5 11 :0 1 2 6 7 9 5 11 :0 1 3 6 7 8 5 11 :0 1 3 6 7 9 5 11 :0 2 3 6 7 8 5 11 :0 2 3 6 7 9 5 11 :0 3 6 7 8 9 5 11 :0 1 2 3 6 7 8 5 11 :0 1 2 3 6 7 9 5 11 :0 1 3 6 7 8 9 5 11 :0 2 3 6 7 8 9 5 11 :0 1 2 3 6 7 8 9 6 :0 2 5 7 10 6 :0 2 6 7 10 6 :0 2 7 10 11 6 :0 5 7 8 10 6 :0 6 7 8 10 6 :0 7 8 10 11 6 :0 1 2 5 7 10 6 :0 1 2 6 7 10 6 :0 1 2 6 10 11 6 :0 1 2 7 10 11 6 :0 1 5 7 8 10 6 :0 1 6 7 8 10 6 :0 2 5 7 8 10 6 :0 2 5 7 10 11 6 :0 2 6 7 8 10 6 :0 2 6 7 10 11 6 :0 1 7 8 10 11 6 :0 2 7 8 10 11 6 :0 5 7 8 10 11 6 :0 6 7 8 10 11 6 :0 1 2 5 7 8 10 6 :0 1 2 5 7 10 11 6 :0 1 2 6 7 8 10 6 :0 1 2 6 7 10 11 6 :0 1 2 7 8 10 11 6 :0 1 5 6 7 8 10 6 :0 2 5 6 7 10 11 6 :0 1 5 7 8 10 11 6 :0 1 6 7 8 10 11 6 :0 2 5 7 8 10 11 6 :0 2 6 7 8 10 11 6 :0 1 2 5 6 7 8 10 6 :0 1 2 5 6 7 10 11 6 :0 1 2 5 7 8 10 11 6 :0 1 2 6 7 8 10 11 6 :0 2 5 6 7 8 10 11 7 :0 1 4 9 11 7 :0 4 5 7 9 7 :0 4 6 7 9 7 :0 4 7 9 11 7 :0 5 7 9 10 7 :0 5 7 9 11 7 :0 6 7 9 10 7 :0 7 9 10 11 7 :0 1 4 5 7 9 7 :0 1 4 6 7 9 7 :0 1 4 7 9 11 7 :0 1 4 9 10 11 7 :0 1 5 7 9 10 7 :0 1 5 7 9 11 7 :0 1 6 7 9 10 7 :0 1 7 9 10 11 7 :0 4 5 6 7 9 7 :0 4 5 7 9 10 7 :0 4 5 7 9 11 7 :0 4 6 7 9 10 7 :0 4 6 7 9 11 7 :0 4 7 9 10 11 7 :0 5 7 9 10 11 7 :0 6 7 9 10 11 7 :0 1 4 5 6 7 9 7 :0 1 4 5 6 9 10 7 :0 1 4 5 6 9 11 7 :0 1 4 5 7 9 10 7 :0 1 4 5 7 9 11 7 :0 1 4 6 7 9 10 7 :0 1 4 6 7 9 11 7 :0 1 4 7 9 10 11 7 :0 1 5 7 9 10 11 7 :0 1 6 7 9 10 11 7 :0 4 5 6 7 9 10 7 :0 4 5 6 7 9 11 7 :0 4 5 7 9 10 11 7 :0 4 6 7 9 10 11 7 :0 5 6 7 9 10 11 7 :0 1 4 5 6 7 9 10 7 :0 1 4 5 6 7 9 11 7 :0 1 4 5 7 9 10 11 7 :0 1 4 6 7 9 10 11 7 :0 1 5 6 7 9 10 11 7 :0 4 5 6 7 9 10 11 7 :0 1 4 5 6 7 9 10 11 7 11 :0 5 7 9 7 11 :0 1 5 7 9 8 :0 3 4 8 11 8 :0 4 8 10 11 8 :0 8 9 10 11 8 :0 3 4 8 9 11 8 :0 3 4 8 10 11 8 :0 4 8 9 10 11 8 :0 3 4 5 6 8 10 8 :0 3 4 5 6 8 11 8 :0 3 4 5 8 9 10 8 :0 3 4 5 8 9 11 8 :0 3 4 5 8 10 11 8 :0 3 4 6 8 9 10 8 :0 3 4 6 8 9 11 8 :0 3 4 6 8 10 11 8 :0 3 4 8 9 10 11 8 11 :0 3 5 6 8 11 :0 1 2 3 5 11 :0 2 3 5 7 11 :0 2 5 7 9 11 :0 3 5 7 8 11 :0 3 5 7 9 11 :0 5 7 8 9 11 :0 1 2 3 5 6 11 :0 1 2 3 5 7 11 :0 1 2 5 7 9 11 :0 2 3 5 6 7 11 :0 1 3 5 7 8 11 :0 1 3 5 7 9 11 :0 2 3 5 6 8 11 :0 2 3 5 7 8 11 :0 2 3 5 7 9 11 :0 3 5 6 7 9 11 :0 3 5 7 8 9 11 :0 1 2 3 5 6 7 11 :0 1 2 3 5 7 8 11 :0 1 2 3 5 7 9 11 :0 1 3 5 6 7 8 11 :0 2 3 5 6 7 8 11 :0 2 3 5 6 7 9 11 :0 1 3 5 7 8 9 11 :0 2 3 5 7 8 9 11 :0 3 5 6 7 8 9 11 :0 1 2 3 5 6 7 9 11 :0 1 2 3 5 7 8 9 11 :0 1 2 5 6 7 8 9 11 :0 1 3 5 6 7 8 9 11 :0 2 3 5 6 7 8 9 11 :0 1 2 3 5 6 7 8 9 Superset Chord Types by Root Set 0 :0 1 2 4 5 6 7 8 11 0 :0 1 2 3 4 5 6 7 8 11 0 :0 1 2 4 5 6 7 8 9 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 6 :0 1 2 3 4 5 6 7 8 10 11 0 5 11 :0 1 2 3 4 5 6 7 8 9 11 0 6 :0 1 2 4 5 6 7 8 10 11 0 6 7 :0 1 2 4 5 6 7 8 9 10 11 1 :0 1 3 4 5 6 7 10 11 1 :0 1 2 3 4 5 6 7 10 11 1 :0 1 3 4 5 6 7 8 10 11 1 2 7 :0 1 2 3 4 5 6 7 9 10 11 1 7 :0 1 3 4 5 6 7 9 10 11 1 7 8 :0 1 3 4 5 6 7 8 9 10 11 2 :0 2 3 4 5 6 9 10 11 2 :0 1 2 3 4 5 6 9 10 11 2 :0 2 3 4 5 6 7 9 10 11 2 3 8 :0 1 2 3 4 5 6 8 9 10 11 2 8 :0 2 3 4 5 6 8 9 10 11 2 8 9 :0 2 3 4 5 6 7 8 9 10 11 3 :0 1 2 3 4 5 8 9 10 11 3 4 9 :0 1 2 3 4 5 7 8 9 10 11 4 :0 1 2 3 4 7 8 9 10 4 :0 1 2 3 4 5 7 8 9 10 4 :0 1 2 3 4 7 8 9 10 11 4 5 10 :0 1 2 3 4 6 7 8 9 10 11 4 10 :0 1 2 3 4 6 7 8 9 10 4 10 11 :0 1 2 3 4 5 6 7 8 9 10 5 :0 1 2 3 6 7 8 9 11 5 :0 1 2 3 4 6 7 8 9 11 5 :0 1 2 3 6 7 8 9 10 11 5 6 11 :0 1 2 3 5 6 7 8 9 10 11 5 11 :0 1 2 3 5 6 7 8 9 11

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

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

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

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

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

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

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

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

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