Chord Type: 0 3 5 6 10 11

0 3 5 6 10 11 = mM7b5 no 9th

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Chord Type: 0 3 5 6 10 11

General Statistics Cardinality: 6 Jordan Number: 6-66 Forte Number: 6-18 Forte Prime Form: [0,1,2,5,7,8] Zeitler Scale Name: Rothimic Ian Ring's Scale Page 3177 Root Reference: 0 3 5 6 10 11 Tone Stacking: 0 3 2 1 4 1 Interval Stacking: 3 2 1 4 1 1 Binary: 1 0 0 1 0 1 1 0 0 0 1 1 Decimal Value: 3177 Interval Vector: 3 2 2 2 4 2 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.467 Harmonic Adjacency (0-1): 0.733 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: diamorphic scales no 2nd (Scale Degrees: 134567) ->0 3 5 6 10 11 = mM7b5 no 9th 0 3 5 7 8 10 = m7b13 no 9th 0 3 5 7 8 11 = mM7b13 no 9th 0 3 5 7 9 10 = m13 no 9th 0 3 5 7 9 11 = mM13 no 9th 0 3 5 7 10 11 = mM7#13 no 9th 0 3 6 7 8 10 = m7#11b13 no 9th 0 3 6 7 8 11 = mM7#11b13 no 9th, Schoen. hex 0 3 6 7 9 10 = m13#11 no 9th 0 3 6 7 9 11 = mM13#11 no 9th 0 3 6 7 10 11 = mM#13#11 no 9th 0 4 5 6 10 11 = M#13b5 no 9th 0 4 5 7 8 10 = 7b13 no 9th 0 4 5 7 8 11 = M7b13 no 9th 0 4 5 7 9 10 = 13 no 9th 0 4 5 7 9 11 = M13 no 9th 0 4 5 7 10 11 = M#13 no 9th 0 4 6 7 8 10 = 7#13#11 no 9th 0 4 6 7 8 11 = M#13#11 no 9th 0 4 6 7 9 10 = 13#11 no 9th 0 4 6 7 9 11 = M13#11 no 9th 0 4 6 7 10 11 = M#13#11 no 9th All Transpositions of Chord Type: +0= 0 3 5 6 10 11 |mM7b5 no 9th +1= 0 1 4 6 7 11 |7#11b9 +2= 0 1 2 5 7 8 | +3= 1 2 3 6 8 9 | +4= 2 3 4 7 9 10 | +5= 3 4 5 8 10 11 | +6= 0 4 5 6 9 11 | +7= 0 1 5 6 7 10 | +8= 1 2 6 7 8 11 | +9= 0 2 3 7 8 9 | +10= 1 3 4 8 9 10 | +11= 2 4 5 9 10 11 | Modes of Chord Type: (mode 0) 0: 0 3 5 6 10 11 | mM7b5 no 9th (mode 1) 3: 0 2 3 7 8 9 | (mode 2) 5: 0 1 5 6 7 10 | (mode 3) 6: 0 4 5 6 9 11 | (mode 4) 10: 0 1 2 5 7 8 | (mode 5) 11: 0 1 4 6 7 11 | 7#11b9 Modes of Chord Type Sorted by Rootedness: 1.583(mode 5)11:0 1 4 6 7 11 |7#11b9 1.058(mode 1)3:0 2 3 7 8 9 | .742(mode 2)5:0 1 5 6 7 10 | .567(mode 3)6:0 4 5 6 9 11 | .508(mode 4)10:0 1 2 5 7 8 | .408(mode 0)0:0 3 5 6 10 11 |mM7b5 no 9th Inversion at 0: 0 1 2 6 7 9 (mode 0) 0: 0 1 2 6 7 9 | (mode 1) 1: 0 1 5 6 8 11 | (mode 2) 2: 0 4 5 7 10 11 | M#13 no 9th (mode 3) 6: 0 1 3 6 7 8 | (mode 4) 7: 0 2 5 6 7 11 | (mode 5) 9: 0 3 4 5 9 10 | Times 7: 0 5 6 9 10 11 (mode 0) 0: 0 5 6 9 10 11 | (mode 1) 5: 0 1 4 5 6 7 | (mode 2) 6: 0 3 4 5 6 11 | M11b5#9 (mode 3) 9: 0 1 2 3 8 9 | (mode 4) 10: 0 1 2 7 8 11 | (mode 5) 11: 0 1 6 7 10 11 | Times 5: 0 1 2 3 6 7 (mode 0) 0: 0 1 2 3 6 7 | (mode 1) 1: 0 1 2 5 6 11 | (mode 2) 2: 0 1 4 5 10 11 | M#13b9 no 5 (mode 3) 3: 0 3 4 9 10 11 | (mode 4) 6: 0 1 6 7 8 9 | (mode 5) 7: 0 5 6 7 8 11 | Modal System: 0 1 2 5 7 8 from root(s) 10 | "7#11b9 modal system" Modes of Modal System: (mode 0) 0: 0 1 2 5 7 8 | (mode 1) 1: 0 1 4 6 7 11 | 7#11b9 (mode 2) 2: 0 3 5 6 10 11 | mM7b5 no 9th (mode 3) 5: 0 2 3 7 8 9 | (mode 4) 7: 0 1 5 6 7 10 | (mode 5) 8: 0 4 5 6 9 11 | Complement: 1 2 4 7 8 9 (mode 0) 1: 0 1 3 6 7 8 | (mode 1) 2: 0 2 5 6 7 11 | (mode 2) 4: 0 3 4 5 9 10 | (mode 3) 7: 0 1 2 6 7 9 | (mode 4) 8: 0 1 5 6 8 11 | (mode 5) 9: 0 4 5 7 10 11 | M#13 no 9th All but the root (subchroma complement of 0): 3 5 6 10 11 (mode 0) 3: 0 2 3 7 8 | minor (Hirajoshi according to Kostka & Payne and Speed) = tizita minor (mode 1) 5: 0 1 5 6 10 | (mode 2) 6: 0 4 5 9 11 | (mode 3) 10: 0 1 5 7 8 | In scale = Sakura pentatonic = kumoi joshi (mode 4) 11: 0 4 6 7 11 | Lydian chord = batti major #4 = Hirajoshi (Burrows) = M#11 no 9th Web Links JCS Wiki Page for This Chord Type No content as of 2022-5-9. This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3) De-Chromaticizations Dechromaticised: 0 3 5 6 10 (mode 0) 0: 0 3 5 6 10 | m11b5 no 9th (mode 1) 3: 0 2 3 7 9 | m6/9 = akebono = Thai mode 1 (MSOFTW) (mode 2) 5: 0 1 5 7 10 | Insenpo (Insen) = han iwato (mode 3) 6: 0 4 6 9 11 | (mode 4) 10: 0 2 5 7 8 | kokin joshi Dechromaticised but Keep 0 0 3 5 6 10 (unchanged) (mode 0) 0: 0 3 5 6 10 | m11b5 no 9th (mode 1) 3: 0 2 3 7 9 | m6/9 = akebono = Thai mode 1 (MSOFTW) (mode 2) 5: 0 1 5 7 10 | Insenpo (Insen) = han iwato (mode 3) 6: 0 4 6 9 11 | (mode 4) 10: 0 2 5 7 8 | kokin joshi Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 0 3 5 6 10 (unchanged) (mode 0) 0: 0 3 5 6 10 | m11b5 no 9th (mode 1) 3: 0 2 3 7 9 | m6/9 = akebono = Thai mode 1 (MSOFTW) (mode 2) 5: 0 1 5 7 10 | Insenpo (Insen) = han iwato (mode 3) 6: 0 4 6 9 11 | (mode 4) 10: 0 2 5 7 8 | kokin joshi Alt-Dechromaticised: 0 3 6 11 (mode 0) 0: 0 3 6 11 | mM7b5 = dim. major 7th chord (mode 1) 3: 0 3 8 9 | (mode 2) 6: 0 5 6 9 | (mode 3) 11: 0 1 4 7 | M add b9 Alt-Dechromaticised but Keep 0 0 3 6 11 (unchanged) (mode 0) 0: 0 3 6 11 | mM7b5 = dim. major 7th chord (mode 1) 3: 0 3 8 9 | (mode 2) 6: 0 5 6 9 | (mode 3) 11: 0 1 4 7 | M add b9 Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 0 3 6 11 (unchanged) (mode 0) 0: 0 3 6 11 | mM7b5 = dim. major 7th chord (mode 1) 3: 0 3 8 9 | (mode 2) 6: 0 5 6 9 | (mode 3) 11: 0 1 4 7 | M add b9 Chromaticizations chromaticized: N/A chromaticized keep 0: N/A chromaticized keep 0 7: N/A chromaticized keep 0 3 4 7: N/A alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: N/A alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 3 5 6 10 11 = 0: 0 3 5 6 10 11 = 3: 0 2 3 7 8 9 = 5: 0 1 5 6 7 10 = 6: 0 4 5 6 9 11 = 10: 0 1 2 5 7 8 = 11: 0 1 4 6 7 11 2 3 3 10 0 2 7 8 = 0: 0 2 7 8 = 2: 0 5 6 10 = 7: 0 1 5 7 = 8: 0 4 6 11 1 3 3 0 2 3 7 8 9 = 0: 0 2 3 7 8 9 = 2: 0 1 5 6 7 10 = 3: 0 4 5 6 9 11 = 7: 0 1 2 5 7 8 = 8: 0 1 4 6 7 11 = 9: 0 3 5 6 10 11 2 10 5 10 0 1 5 7 = 0: 0 1 5 7 = 1: 0 4 6 11 = 5: 0 2 7 8 = 7: 0 5 6 10 2 11 6 11 0 4 6 = 0: 0 4 6 = 4: 0 2 8 = 6: 0 6 10 2 11 6 11 0 4 6 11 = 0: 0 4 6 11 = 4: 0 2 7 8 = 6: 0 5 6 10 = 11: 0 1 5 7 1 11 11 0 1 4 6 7 11 = 0: 0 1 4 6 7 11 = 1: 0 3 5 6 10 11 = 4: 0 2 3 7 8 9 = 6: 0 1 5 6 7 10 = 7: 0 4 5 6 9 11 = 11: 0 1 2 5 7 8 Bright Layer Composition order pcset 1 0 3 5 6 10 11 = 0: 0 3 5 6 10 11 = 3: 0 2 3 7 8 9 = 5: 0 1 5 6 7 10 = 6: 0 4 5 6 9 11 = 10: 0 1 2 5 7 8 = 11: 0 1 4 6 7 11 2 0 1 3 5 6 7 10 11 = 0: 0 1 3 5 6 7 10 11 = 1: 0 2 4 5 6 9 10 11 = 3: 0 2 3 4 7 8 9 10 = 5: 0 1 2 5 6 7 8 10 = 6: 0 1 4 5 6 7 9 11 = 7: 0 3 4 5 6 8 10 11 = 10: 0 1 2 3 5 7 8 9 = 11: 0 1 2 4 6 7 8 11 3 0 1 2 3 5 6 7 8 10 11 = 0: 0 1 2 3 5 6 7 8 10 11 = 1: 0 1 2 4 5 6 7 9 10 11 = 2: 0 1 3 4 5 6 8 9 10 11 = 3: 0 2 3 4 5 7 8 9 10 11 = 5: 0 1 2 3 5 6 7 8 9 10 = 6: 0 1 2 4 5 6 7 8 9 11 = 7: 0 1 3 4 5 6 7 8 10 11 = 8: 0 2 3 4 5 6 7 9 10 11 = 10: 0 1 2 3 4 5 7 8 9 10 = 11: 0 1 2 3 4 6 7 8 9 11 4 0 1 2 3 5 6 7 8 9 10 11 = 0: 0 1 2 3 5 6 7 8 9 10 11 = 1: 0 1 2 4 5 6 7 8 9 10 11 = 2: 0 1 3 4 5 6 7 8 9 10 11 = 3: 0 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 = 6: 0 1 2 3 4 5 6 7 8 9 11 = 7: 0 1 2 3 4 5 6 7 8 10 11 = 8: 0 1 2 3 4 5 6 7 9 10 11 = 9: 0 1 2 3 4 5 6 8 9 10 11 = 10: 0 1 2 3 4 5 7 8 9 10 11 = 11: 0 1 2 3 4 6 7 8 9 10 11 5 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 3 5 6 10 11 subchroma modal system: 0 0 = 0 = 0: 0 3 = 3 = 3: 0 5 = 5 = 5: 0 6 = 6 = 6: 0 10 = 10 = 10: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 3 = 0 3 = 0: 0 3 3: 0 9 3 5 = 3 5 = 3: 0 2 5: 0 10 5 6 = 5 6 = 5: 0 1 6: 0 11 6 10 = 6 10 = 6: 0 4 10: 0 8 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 5 = 0 5 = 0: 0 5 5: 0 7 3 6 = 3 6 = 3: 0 3 6: 0 9 5 10 = 5 10 = 5: 0 5 10: 0 7 6 11 = 6 11 = 6: 0 5 11: 0 7 10 0 = 0 10 = 10: 0 2 0: 0 10 11 3 = 3 11 = 11: 0 4 3: 0 8 subchroma modal system: 0 3 0 6 = 0 6 = 0 6: 0 6 3 10 = 3 10 = 10: 0 5 3: 0 7 5 11 = 5 11 = 5 11: 0 6 6 0 = 0 6 = 0 6: 0 6 10 3 = 3 10 = 10: 0 5 3: 0 7 11 5 = 5 11 = 5 11: 0 6 subchroma modal system: 0 1 2 0 3 5 = 0 3 5 = 0: 0 3 5 5: 0 7 10 3 5 6 = 3 5 6 = 3: 0 2 3 5 6 10 = 5 6 10 = 6: 0 4 11 10: 0 7 8 6 10 11 = 6 10 11 = 6: 0 4 5 11: 0 7 11 10 11 0 = 0 10 11 = 10: 0 1 2 11: 0 1 11 0: 0 10 11 11 0 3 = 0 3 11 = 11: 0 1 4 0: 0 3 11 subchroma modal system: 0 1 3 0 3 6 = 0 3 6 = 0: 0 3 6 3: 0 3 9 3 5 10 = 3 5 10 = 3: 0 2 7 10: 0 5 7 5: 0 5 10 5 6 11 = 5 6 11 = 11: 0 6 7 6 10 0 = 0 6 10 = 6: 0 4 6 10 11 3 = 3 10 11 = 11: 0 4 11 3: 0 7 8 11 0 5 = 0 5 11 = 5: 0 6 7 subchroma modal system: 0 1 4 0 3 10 = 0 3 10 = 0: 0 3 10 3: 0 7 9 3 5 11 = 3 5 11 = 11: 0 4 6 5 6 0 = 0 5 6 = 5: 0 1 7 6 10 3 = 3 6 10 = 3: 0 3 7 6: 0 4 9 10 11 5 = 5 10 11 = 10: 0 1 7 11 0 6 = 0 6 11 = 11: 0 1 7 subchroma modal system: 0 2 4 0 5 10 = 0 5 10 = 10: 0 2 7 5: 0 5 7 0: 0 5 10 3 6 11 = 3 6 11 = 11: 0 4 7 5 10 0 = 0 5 10 = 10: 0 2 7 5: 0 5 7 0: 0 5 10 6 11 3 = 3 6 11 = 11: 0 4 7 10 0 5 = 0 5 10 = 10: 0 2 7 5: 0 5 7 0: 0 5 10 11 3 6 = 3 6 11 = 11: 0 4 7 subchroma modal system: 0 1 2 3 0 3 5 6 = 0 3 5 6 = 5: 0 1 7 10 0: 0 3 5 6 3 5 6 10 = 3 5 6 10 = 3: 0 2 3 7 6: 0 4 9 11 10: 0 5 7 8 5 6 10 11 = 5 6 10 11 = 10: 0 1 7 8 6: 0 4 5 11 11: 0 6 7 11 6 10 11 0 = 0 6 10 11 = 11: 0 1 7 11 6: 0 4 5 6 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 3 5 = 0 3 5 11 = 0: 0 3 5 11 5: 0 6 7 10 subchroma modal system: 0 1 2 4 0 3 5 10 = 0 3 5 10 = 10: 0 2 5 7 3: 0 2 7 9 0: 0 3 5 10 5: 0 5 7 10 3 5 6 11 = 3 5 6 11 = 11: 0 4 6 7 5 6 10 0 = 0 5 6 10 = 5: 0 1 5 7 10: 0 2 7 8 6: 0 4 6 11 6 10 11 3 = 3 6 10 11 = 3: 0 3 7 8 11: 0 4 7 11 10 11 0 5 = 0 5 10 11 = 10: 0 1 2 7 5: 0 5 6 7 0: 0 5 10 11 11 0 3 6 = 0 3 6 11 = 11: 0 1 4 7 0: 0 3 6 11 subchroma modal system: 0 1 3 4 0 3 6 10 = 0 3 6 10 = 3: 0 3 7 9 0: 0 3 6 10 3 5 10 11 = 3 5 10 11 = 10: 0 1 5 7 3: 0 2 7 8 11: 0 4 6 11 5 6 11 0 = 0 5 6 11 = 5 11: 0 1 6 7 6 10 0 3 = 0 3 6 10 = 3: 0 3 7 9 0: 0 3 6 10 10 11 3 5 = 3 5 10 11 = 10: 0 1 5 7 3: 0 2 7 8 11: 0 4 6 11 11 0 5 6 = 0 5 6 11 = 5 11: 0 1 6 7 subchroma modal system: 0 1 2 3 4 0 3 5 6 10 = 0 3 5 6 10 = 3: 0 2 3 7 9 10: 0 2 5 7 8 5: 0 1 5 7 10 0: 0 3 5 6 10 3 5 6 10 11 = 3 5 6 10 11 = 3: 0 2 3 7 8 10: 0 1 5 7 8 11: 0 4 6 7 11 5 6 10 11 0 = 0 5 6 10 11 = 10: 0 1 2 7 8 5: 0 1 5 6 7 11: 0 1 6 7 11 6 10 11 0 3 = 0 3 6 10 11 = 11: 0 1 4 7 11 3: 0 3 7 8 9 0: 0 3 6 10 11 10 11 0 3 5 = 0 3 5 10 11 = 10: 0 1 2 5 7 3: 0 2 7 8 9 5: 0 5 6 7 10 11 0 3 5 6 = 0 3 5 6 11 = 11: 0 1 4 6 7 5: 0 1 6 7 10 subchroma modal system: 0 1 2 3 4 5 0 3 5 6 10 11 = 0 3 5 6 10 11 = 11: 0 1 4 6 7 11 3: 0 2 3 7 8 9 0: 0 3 5 6 10 11 3 5 6 10 11 0 = 0 3 5 6 10 11 = 11: 0 1 4 6 7 11 3: 0 2 3 7 8 9 0: 0 3 5 6 10 11 5 6 10 11 0 3 = 0 3 5 6 10 11 = 11: 0 1 4 6 7 11 3: 0 2 3 7 8 9 0: 0 3 5 6 10 11 6 10 11 0 3 5 = 0 3 5 6 10 11 = 11: 0 1 4 6 7 11 3: 0 2 3 7 8 9 0: 0 3 5 6 10 11 10 11 0 3 5 6 = 0 3 5 6 10 11 = 11: 0 1 4 6 7 11 3: 0 2 3 7 8 9 0: 0 3 5 6 10 11 11 0 3 5 6 10 = 0 3 5 6 10 11 = 11: 0 1 4 6 7 11 3: 0 2 3 7 8 9 0: 0 3 5 6 10 11 Subset Chord Types by Root Set 0 :0 3 5 0 :0 3 6 0 :0 3 10 0 :0 3 11 0 :0 10 11 0 :0 3 5 6 0 :0 3 5 10 0 :0 3 5 11 0 :0 3 6 10 0 :0 3 6 11 0 :0 3 10 11 0 :0 5 10 11 0 :0 3 5 6 10 0 :0 3 6 10 11 0 :0 3 5 6 10 11 0 3 :0 3 0 3 5 6 10 11:0 0 5 :0 10 0 5 :0 5 10 0 5 6 10 :0 5 0 5 6 11 :0 6 0 6 11 :0 11 3 :0 2 3 3 :0 3 7 3 :0 3 9 3 :0 7 9 3 :0 2 3 7 3 :0 2 7 9 3 :0 3 7 8 3 :0 3 7 9 3 :0 7 8 9 3 :0 2 3 7 8 3 :0 2 3 7 9 3 :0 2 7 8 9 3 :0 3 7 8 9 3 :0 2 3 7 8 9 3 5 10 11 :0 7 3 6 :0 9 3 10 :0 2 3 10 :0 8 3 10 :0 2 7 3 10 :0 7 8 3 10 :0 2 7 8 5 :0 7 10 5 :0 1 7 10 5 :0 5 6 7 5 :0 5 7 10 5 :0 6 7 10 5 :0 1 5 6 7 5 :0 1 5 7 10 5 :0 1 6 7 10 5 :0 5 6 7 10 5 10 :0 5 7 5 10 :0 1 5 7 5 10 11 :0 1 5 10 11 :0 1 7 5 11 :0 6 7 5 11 :0 1 6 7 6 :0 4 5 6 :0 4 9 6 :0 4 5 6 6 :0 4 5 11 6 :0 4 9 11 6 11 :0 4 6 11 :0 4 6 6 11 :0 4 11 6 11 :0 4 6 11 10 :0 1 2 10 :0 1 2 7 10 :0 2 5 7 10 :0 1 7 8 10 :0 5 7 8 10 :0 1 2 5 7 10 :0 1 2 7 8 10 :0 1 5 7 8 10 :0 2 5 7 8 11 :0 1 4 11 :0 1 11 11 :0 4 7 11 :0 7 11 11 :0 1 4 7 11 :0 1 4 11 11 :0 1 7 11 11 :0 4 6 7 11 :0 4 7 11 11 :0 6 7 11 11 :0 1 4 6 7 11 :0 1 4 7 11 11 :0 1 6 7 11 11 :0 4 6 7 11 11 :0 1 4 6 7 11 Superset Chord Types by Root Set 0 :0 3 5 6 10 11 0 :0 1 3 5 6 10 11 0 :0 2 3 5 6 10 11 0 :0 3 4 5 6 10 11 0 :0 3 5 6 7 10 11 0 :0 2 3 4 5 6 10 11 0 :0 2 3 5 6 7 10 11 0 :0 3 4 5 6 7 10 11 0 :0 1 3 5 6 9 10 11 0 :0 3 5 6 7 8 10 11 0 :0 3 5 6 7 9 10 11 0 :0 2 3 4 5 6 7 10 11 0 :0 2 3 5 6 8 9 10 11 0 :0 2 3 5 6 7 8 10 11 0 :0 2 3 5 6 7 9 10 11 0 :0 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 2 6 7 9 :0 1 2 3 4 5 6 8 9 10 11 0 1 3 6 7 8 :0 2 3 4 5 6 7 8 9 10 11 0 1 5 6 8 11 :0 1 2 3 4 5 6 7 9 10 11 0 1 6 :0 2 3 4 5 6 9 10 11 0 1 6 :0 1 2 3 4 5 6 9 10 11 0 1 6 7 :0 2 3 4 5 6 8 9 10 11 0 1 6 8 :0 2 3 4 5 6 7 9 10 11 0 2 5 6 7 11 :0 1 3 4 5 6 7 8 9 10 11 0 2 6 7 :0 1 3 4 5 6 8 9 10 11 0 3 :0 2 3 5 6 7 8 9 10 11 0 3 4 5 9 10 :0 1 2 3 5 6 7 8 9 10 11 0 4 5 7 10 11 :0 1 2 3 4 5 6 7 8 10 11 0 4 5 10 :0 1 2 3 5 6 7 8 10 11 0 5 :0 1 3 5 6 7 10 11 0 5 :0 1 2 3 5 6 7 10 11 0 5 :0 1 3 5 6 7 9 10 11 0 5 :0 1 2 3 5 6 7 9 10 11 0 5 :0 1 3 5 6 7 8 9 10 11 0 5 6 11 :0 1 3 4 5 6 7 9 10 11 0 5 7 11 :0 1 3 4 5 6 7 8 10 11 0 5 11 :0 1 3 4 5 6 7 10 11 0 5 11 :0 1 2 3 4 5 6 7 10 11 0 6 :0 3 4 5 6 9 10 11 0 6 :0 3 4 5 6 7 9 10 11 0 6 7 :0 3 4 5 6 7 8 9 10 11 0 7 :0 3 4 5 6 7 8 10 11 0 7 :0 1 2 3 4 5 6 8 10 11 0 7 :0 2 3 4 5 6 7 8 10 11 0 9 :0 1 2 3 5 6 8 9 10 11 1 :0 2 4 5 7 9 10 11 1 :0 1 2 4 5 7 9 10 11 1 :0 2 4 5 7 8 9 10 11 1 2 3 7 8 10 :0 1 2 3 4 5 7 8 9 10 11 1 2 7 :0 1 2 3 4 5 8 9 10 11 1 3 7 8 :0 2 3 4 5 7 8 9 10 11 1 4 5 6 10 11 :0 1 2 4 5 6 7 8 9 10 11 1 5 6 11 :0 1 2 4 5 6 7 9 10 11 1 6 :0 2 4 5 6 9 10 11 1 6 :0 2 4 5 6 7 9 10 11 1 6 :0 1 2 4 5 6 8 9 10 11 1 6 :0 2 4 5 6 7 8 9 10 11 1 8 :0 2 3 4 5 7 9 10 11 1 8 :0 1 2 3 4 5 7 9 10 11 1 10 :0 1 2 4 5 7 8 9 10 11 2 :0 1 3 4 7 8 9 10 2 :0 1 3 4 8 9 10 11 2 :0 1 3 4 5 7 8 9 10 2 :0 1 3 4 6 7 8 9 10 2 :0 1 3 4 7 8 9 10 11 2 3 4 8 9 11 :0 1 2 3 4 6 7 8 9 10 11 2 3 5 8 9 10 :0 1 2 3 4 5 6 7 8 9 10 2 3 8 :0 1 2 3 4 7 8 9 10 2 3 8 :0 1 2 3 4 7 8 9 10 11 2 3 8 9 :0 1 2 3 4 6 7 8 9 10 2 3 8 10 :0 1 2 3 4 5 7 8 9 10 2 5 :0 1 3 4 5 6 7 8 9 10 2 7 :0 1 3 4 5 7 8 9 10 11 2 9 :0 1 2 3 4 5 6 8 9 10 2 9 :0 1 2 3 4 6 8 9 10 11 2 11 :0 1 3 4 6 7 8 9 10 11 3 :0 2 3 7 8 9 3 :0 1 2 3 7 8 9 3 :0 2 3 4 7 8 9 3 :0 2 3 5 7 8 9 3 :0 2 3 6 7 8 9 3 :0 2 3 7 8 9 10 3 :0 2 3 7 8 9 11 3 :0 1 2 3 4 7 8 9 3 :0 2 3 4 5 7 8 9 3 :0 2 3 4 6 7 8 9 3 :0 1 2 3 7 8 9 10 3 :0 1 2 3 7 8 9 11 3 :0 2 3 4 7 8 9 11 3 :0 2 3 5 6 7 8 9 3 :0 2 3 5 7 8 9 10 3 :0 2 3 5 7 8 9 11 3 :0 2 3 6 7 8 9 10 3 :0 2 3 6 7 8 9 11 3 :0 2 3 7 8 9 10 11 3 :0 1 2 3 4 7 8 9 11 3 :0 2 3 4 5 6 7 8 9 3 :0 2 3 4 5 7 8 9 11 3 :0 2 3 4 6 7 8 9 11 3 :0 1 2 3 7 8 9 10 11 3 :0 2 3 5 6 7 8 9 10 3 :0 2 3 5 6 7 8 9 11 3 :0 2 3 5 7 8 9 10 11 3 :0 2 3 6 7 8 9 10 11 3 4 6 9 10 11 :0 1 2 3 4 5 6 7 8 9 11 3 4 9 :0 1 2 3 6 7 8 9 11 3 4 9 :0 1 2 3 6 7 8 9 10 11 3 4 9 10 :0 1 2 3 5 6 7 8 9 11 3 4 9 11 :0 1 2 3 4 6 7 8 9 11 3 5 9 10 :0 1 2 3 5 6 7 8 9 10 3 6 :0 2 3 4 5 6 7 8 9 11 3 8 :0 2 3 4 7 8 9 10 3 8 :0 2 3 4 5 7 8 9 10 3 8 :0 2 3 4 6 7 8 9 10 3 8 :0 2 3 4 7 8 9 10 11 3 8 :0 2 3 4 5 6 7 8 9 10 3 8 :0 2 3 4 6 7 8 9 10 11 3 9 :0 1 2 3 6 7 8 9 3 9 :0 1 2 3 4 6 7 8 9 3 9 :0 1 2 3 6 7 8 9 10 3 9 10 :0 1 2 3 5 6 7 8 9 3 9 10 :0 1 2 3 4 5 6 7 8 9 3 10 :0 1 2 3 5 7 8 9 3 10 :0 1 2 3 4 5 7 8 9 3 10 :0 1 2 3 5 7 8 9 10 3 10 :0 1 2 3 5 7 8 9 11 3 10 :0 1 2 3 4 5 7 8 9 11 3 10 :0 1 2 3 5 7 8 9 10 11 4 :0 1 2 6 7 8 11 4 :0 1 2 3 6 7 8 11 4 :0 1 2 6 7 8 10 11 4 :0 1 2 3 6 7 8 10 11 4 :0 1 2 6 7 8 9 10 11 4 5 10 :0 1 2 5 6 7 8 9 10 11 4 5 10 11 :0 1 2 4 5 6 7 8 10 11 4 6 10 11 :0 1 2 4 5 6 7 8 9 11 4 10 :0 1 2 5 6 7 8 11 4 10 :0 1 2 3 5 6 7 8 11 4 10 11 :0 1 2 4 5 6 7 8 11 4 10 11 :0 1 2 3 4 5 6 7 8 11 4 11 :0 1 2 4 6 7 8 11 4 11 :0 1 2 3 4 6 7 8 11 4 11 :0 1 2 4 6 7 8 9 11 4 11 :0 1 2 4 6 7 8 10 11 4 11 :0 1 2 3 4 6 7 8 10 11 4 11 :0 1 2 4 6 7 8 9 10 11 5 :0 1 3 5 6 7 10 5 :0 1 4 5 6 7 10 5 :0 1 5 6 7 8 10 5 :0 1 5 6 7 10 11 5 :0 1 2 3 5 6 7 10 5 :0 1 2 4 5 6 7 10 5 :0 1 3 4 5 6 7 10 5 :0 1 2 5 6 7 10 11 5 :0 1 3 5 6 7 9 10 5 :0 1 4 5 6 7 8 10 5 :0 1 4 5 6 7 9 10 5 :0 1 5 6 7 9 10 11 5 :0 1 2 3 4 5 6 7 10 5 :0 1 2 3 5 6 7 9 10 5 :0 1 2 4 5 6 7 9 10 5 :0 1 3 4 5 6 7 8 10 5 :0 1 3 4 5 6 7 9 10 5 :0 1 3 5 6 7 8 9 10 5 :0 1 4 5 6 7 8 9 10 5 6 11 :0 1 4 5 6 7 9 10 11 5 6 11 :0 1 4 5 6 7 8 9 10 11 5 8 :0 1 2 3 4 5 6 7 9 10 5 10 :0 1 2 5 6 7 8 10 5 10 :0 1 2 3 5 6 7 8 10 5 10 :0 1 2 4 5 6 7 8 10 5 10 :0 1 2 3 4 5 6 7 8 10 5 10 :0 1 2 4 5 6 7 8 9 10 5 11 :0 1 4 5 6 7 10 11 5 11 :0 1 2 4 5 6 7 10 11 5 11 :0 1 4 5 6 7 8 10 11 6 :0 1 4 5 6 9 11 6 :0 2 4 5 6 9 11 6 :0 3 4 5 6 9 11 6 :0 4 5 6 7 9 11 6 :0 4 5 6 9 10 11 6 :0 2 4 5 6 7 9 11 6 :0 3 4 5 6 7 9 11 6 :0 4 5 6 7 9 10 11 6 :0 2 3 4 5 6 7 9 11 6 :0 2 4 5 6 7 8 9 11 6 :0 3 4 5 6 7 8 9 11 6 :0 4 5 6 7 8 9 10 11 6 9 :0 1 2 3 4 5 6 8 9 11 6 11 :0 1 4 5 6 7 9 11 6 11 :0 1 2 4 5 6 7 9 11 6 11 :0 1 3 4 5 6 7 9 11 6 11 :0 1 4 5 6 7 8 9 11 6 11 :0 1 2 3 4 5 6 7 9 11 6 11 :0 1 3 4 5 6 7 8 9 11 7 :0 3 4 5 8 10 11 7 :0 3 4 5 7 8 10 11 7 :0 1 3 4 5 7 8 10 11 7 :0 2 3 4 5 7 8 10 11 7 :0 3 4 5 7 8 9 10 11 7 10 :0 1 2 3 4 5 7 8 10 11 8 :0 2 3 4 7 9 10 8 :0 1 2 3 4 7 9 10 8 :0 2 3 4 5 7 9 10 8 :0 2 3 4 6 7 9 10 8 :0 2 3 4 7 9 10 11 8 :0 1 2 3 4 5 7 9 10 8 :0 1 2 3 4 6 7 9 10 8 :0 1 2 3 4 7 9 10 11 8 :0 2 3 4 5 6 7 9 10 8 :0 2 3 4 6 7 9 10 11 8 11 :0 1 2 3 4 6 7 9 10 11 9 :0 1 2 3 5 6 8 9 11 10 :0 1 2 3 5 7 8 10 :0 1 2 4 5 7 8 10 :0 1 2 5 7 8 10 10 :0 1 2 5 7 8 11 10 :0 1 2 3 4 5 7 8 10 :0 1 2 4 5 6 7 8 10 :0 1 2 4 5 7 8 9 10 :0 1 2 3 5 7 8 10 10 :0 1 2 3 5 7 8 11 10 :0 1 2 4 5 7 8 10 10 :0 1 2 4 5 7 8 11 10 :0 1 2 5 6 7 8 9 10 :0 1 2 5 7 8 10 11 10 :0 1 2 3 4 5 6 7 8 10 :0 1 2 3 4 5 7 8 10 10 :0 1 2 3 4 5 7 8 11 10 :0 1 2 4 5 6 7 8 9 10 :0 1 2 3 5 7 8 10 11 10 :0 1 2 4 5 7 8 9 10 10 :0 1 2 4 5 7 8 9 11 10 :0 1 2 4 5 7 8 10 11 10 :0 1 2 5 7 8 9 10 11 11 :0 1 4 6 7 11 11 :0 1 2 4 6 7 11 11 :0 1 3 4 6 7 11 11 :0 1 4 5 6 7 11 11 :0 1 4 6 7 8 11 11 :0 1 4 6 7 9 11 11 :0 1 4 6 7 10 11 11 :0 1 2 3 4 6 7 11 11 :0 1 2 4 5 6 7 11 11 :0 1 3 4 5 6 7 11 11 :0 1 2 4 6 7 9 11 11 :0 1 2 4 6 7 10 11 11 :0 1 3 4 6 7 8 11 11 :0 1 3 4 6 7 9 11 11 :0 1 3 4 6 7 10 11 11 :0 1 4 5 6 7 8 11 11 :0 1 4 6 7 8 9 11 11 :0 1 4 6 7 8 10 11 11 :0 1 4 6 7 9 10 11 11 :0 1 2 3 4 5 6 7 11 11 :0 1 2 3 4 6 7 9 11 11 :0 1 2 3 4 6 7 10 11 11 :0 1 3 4 5 6 7 8 11 11 :0 1 2 4 6 7 9 10 11 11 :0 1 3 4 6 7 8 9 11 11 :0 1 3 4 6 7 8 10 11 11 :0 1 3 4 6 7 9 10 11 11 :0 1 4 6 7 8 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 3 5 6 10 11 = 0: 0 3 5 6 10 11 = 3: 0 2 3 7 8 9 = 5: 0 1 5 6 7 10 = 6: 0 4 5 6 9 11 = 10: 0 1 2 5 7 8 = 11: 0 1 4 6 7 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 5 10 11 = 5: 0 5 6 = 10: 0 1 7 = 11: 0 6 11 0 2 = maj. 2nd, dim., maj. 9th | 3 10 = 3: 0 7 = 10: 0 5 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 3 = 0: 0 3 = 3: 0 9 0 4 = maj. 3rd, maj. 10th, dim. 4th | 6 11 = 6: 0 5 = 11: 0 7 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 0 5 6 10 = 0: 0 5 6 10 = 5: 0 1 5 7 = 6: 0 4 6 11 = 10: 0 2 7 8 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 0 5 6 11 = 0: 0 5 6 11 = 5: 0 1 6 7 = 6: 0 5 6 11 = 11: 0 1 6 7 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 3 5 10 11 = 3: 0 2 7 8 = 5: 0 5 6 10 = 10: 0 1 5 7 = 11: 0 4 6 11 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 3 10 = 3: 0 7 = 10: 0 5 0 9 = maj. 6th, maj. 13th, dim. 7th | 3 6 = 3: 0 3

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

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

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

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

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

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

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

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

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	3 5 10 11 = 3: 0 2 7 8 = 5: 0 5 6 10 = 10: 0 1 5 7 = 11: 0 4 6 11

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