Chord Type: 0 1 4 9 10 11

0 1 4 9 10 11

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Chord Type: 0 1 4 9 10 11

General Statistics Cardinality: 6 Jordan Number: 6-3 Forte Number: 6-z36 Forte Prime Form: [0,1,2,3,4,7] Zeitler Scale Name: Ian Ring's Scale Page 3603 Root Reference: 0 1 4 9 10 11 Tone Stacking: 0 1 3 5 1 1 Interval Stacking: 1 3 5 1 1 1 Binary: 1 1 0 0 1 0 0 0 0 1 1 1 Decimal Value: 3603 Interval Vector: 4 3 3 2 2 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.867 Harmonic Adjacency (0-1): 0.467 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: Scale Degrees: 123667 0 1 3 9 10 11 ->0 1 4 9 10 11 0 2 3 9 10 11 0 2 4 9 10 11 0 3 4 9 10 11 All Transpositions of Chord Type: +0= 0 1 4 9 10 11 | +1= 0 1 2 5 10 11 | +2= 0 1 2 3 6 11 | +3= 0 1 2 3 4 7 | +4= 1 2 3 4 5 8 | +5= 2 3 4 5 6 9 | +6= 3 4 5 6 7 10 | +7= 4 5 6 7 8 11 | +8= 0 5 6 7 8 9 | +9= 1 6 7 8 9 10 | +10= 2 7 8 9 10 11 | +11= 0 3 8 9 10 11 | Modes of Chord Type: (mode 0) 0: 0 1 4 9 10 11 | (mode 1) 1: 0 3 8 9 10 11 | (mode 2) 4: 0 5 6 7 8 9 | (mode 3) 9: 0 1 2 3 4 7 | (mode 4) 10: 0 1 2 3 6 11 | (mode 5) 11: 0 1 2 5 10 11 | Modes of Chord Type Sorted by Rootedness: 1.808(mode 3)9:0 1 2 3 4 7 | 1.308(mode 0)0:0 1 4 9 10 11 | .775(mode 4)10:0 1 2 3 6 11 | .692(mode 1)1:0 3 8 9 10 11 | .500(mode 5)11:0 1 2 5 10 11 | .283(mode 2)4:0 5 6 7 8 9 | Inversion at 0: 0 1 2 3 8 11 (mode 0) 0: 0 1 2 3 8 11 | (mode 1) 1: 0 1 2 7 10 11 | (mode 2) 2: 0 1 6 9 10 11 | (mode 3) 3: 0 5 8 9 10 11 | (mode 4) 8: 0 3 4 5 6 7 | (mode 5) 11: 0 1 2 3 4 9 | Times 7: 0 3 4 5 7 10 (mode 0) 0: 0 3 4 5 7 10 | 11#9 (mode 1) 3: 0 1 2 4 7 9 | (mode 2) 4: 0 1 3 6 8 11 | (mode 3) 5: 0 2 5 7 10 11 | (mode 4) 7: 0 3 5 8 9 10 | (mode 5) 10: 0 2 5 6 7 9 | Times 5: 0 2 5 7 8 9 (mode 0) 0: 0 2 5 7 8 9 | (mode 1) 2: 0 3 5 6 7 10 | minor blues = blues hexachord (mode 2) 5: 0 2 3 4 7 9 | major blues (mode 3) 7: 0 1 2 5 7 10 | (mode 4) 8: 0 1 4 6 9 11 | (mode 5) 9: 0 3 5 8 10 11 | Modal System: 0 1 2 3 4 7 from root(s) 9 | "" Modes of Modal System: (mode 0) 0: 0 1 2 3 4 7 | (mode 1) 1: 0 1 2 3 6 11 | (mode 2) 2: 0 1 2 5 10 11 | (mode 3) 3: 0 1 4 9 10 11 | (mode 4) 4: 0 3 8 9 10 11 | (mode 5) 7: 0 5 6 7 8 9 | Complement: 2 3 5 6 7 8 (mode 0) 2: 0 1 3 4 5 6 | (mode 1) 3: 0 2 3 4 5 11 | (mode 2) 5: 0 1 2 3 9 10 | (mode 3) 6: 0 1 2 8 9 11 | (mode 4) 7: 0 1 7 8 10 11 | (mode 5) 8: 0 6 7 9 10 11 | All but the root (subchroma complement of 0): 1 4 9 10 11 (mode 0) 1: 0 3 8 9 10 | (mode 1) 4: 0 5 6 7 9 | (mode 2) 9: 0 1 2 4 7 | (mode 3) 10: 0 1 3 6 11 | mM7b5b9 (mode 4) 11: 0 2 5 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 4 9 (mode 0) 1: 0 3 8 | (mode 1) 4: 0 5 9 | (mode 2) 9: 0 4 7 | M = major triad = major chord Dechromaticised but Keep 0 0 1 4 9 (mode 0) 0: 0 1 4 9 | (mode 1) 1: 0 3 8 11 | (mode 2) 4: 0 5 8 9 | (mode 3) 9: 0 3 4 7 | add #9 = major-minor chord Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 0 1 4 9 (mode 0) 0: 0 1 4 9 | (mode 1) 1: 0 3 8 11 | (mode 2) 4: 0 5 8 9 | (mode 3) 9: 0 3 4 7 | add #9 = major-minor chord Alt-Dechromaticised: 0 1 9 10 11 (mode 0) 0: 0 1 9 10 11 | (mode 1) 1: 0 8 9 10 11 | (mode 2) 9: 0 1 2 3 4 | 1st 5 notes of chromatic scale (mode 3) 10: 0 1 2 3 11 | (mode 4) 11: 0 1 2 10 11 | Alt-Dechromaticised but Keep 0 0 1 9 10 11 (unchanged) (mode 0) 0: 0 1 9 10 11 | (mode 1) 1: 0 8 9 10 11 | (mode 2) 9: 0 1 2 3 4 | 1st 5 notes of chromatic scale (mode 3) 10: 0 1 2 3 11 | (mode 4) 11: 0 1 2 10 11 | Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 0 1 4 9 10 11 (mode 0) 0: 0 1 4 9 10 11 | (mode 1) 1: 0 3 8 9 10 11 | (mode 2) 4: 0 5 6 7 8 9 | (mode 3) 9: 0 1 2 3 4 7 | (mode 4) 10: 0 1 2 3 6 11 | (mode 5) 11: 0 1 2 5 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 4 5 9 10 11 | (mode 1) 1: 0 3 4 8 9 10 11 | (mode 2) 4: 0 1 5 6 7 8 9 | (mode 3) 5: 0 4 5 6 7 8 11 | (mode 4) 9: 0 1 2 3 4 7 8 | (mode 5) 10: 0 1 2 3 6 7 11 | (mode 6) 11: 0 1 2 5 6 10 11 | (mode 0) 0: 0 1 2 4 7 9 10 11 | (mode 1) 1: 0 1 3 6 8 9 10 11 | (mode 2) 2: 0 2 5 7 8 9 10 11 | (mode 3) 4: 0 3 5 6 7 8 9 10 | (mode 4) 7: 0 2 3 4 5 6 7 9 | (mode 5) 9: 0 1 2 3 4 5 7 10 | (mode 6) 10: 0 1 2 3 4 6 9 11 | (mode 7) 11: 0 1 2 3 5 8 10 11 | (mode 0) 0: 0 1 3 4 8 9 10 11 | (mode 1) 1: 0 2 3 7 8 9 10 11 | (mode 2) 3: 0 1 5 6 7 8 9 10 | (mode 3) 4: 0 4 5 6 7 8 9 11 | (mode 4) 8: 0 1 2 3 4 5 7 8 | (mode 5) 9: 0 1 2 3 4 6 7 11 | (mode 6) 10: 0 1 2 3 5 6 10 11 | (mode 7) 11: 0 1 2 4 5 9 10 11 | (mode 0) 0: 0 1 4 5 6 9 10 11 | (mode 1) 1: 0 3 4 5 8 9 10 11 | (mode 2) 4: 0 1 2 5 6 7 8 9 | (mode 3) 5: 0 1 4 5 6 7 8 11 | (mode 4) 6: 0 3 4 5 6 7 10 11 | (mode 5) 9: 0 1 2 3 4 7 8 9 | (mode 6) 10: 0 1 2 3 6 7 8 11 | (mode 7) 11: 0 1 2 5 6 7 10 11 | (mode 0) 0: 0 1 2 3 4 7 8 9 10 11 | (mode 1) 1: 0 1 2 3 6 7 8 9 10 11 | (mode 2) 2: 0 1 2 5 6 7 8 9 10 11 | (mode 3) 3: 0 1 4 5 6 7 8 9 10 11 | (mode 4) 4: 0 3 4 5 6 7 8 9 10 11 | (mode 5) 7: 0 1 2 3 4 5 6 7 8 9 | 1st 10 notes of chromatic scale (mode 6) 8: 0 1 2 3 4 5 6 7 8 11 | (mode 7) 9: 0 1 2 3 4 5 6 7 10 11 | (mode 8) 10: 0 1 2 3 4 5 6 9 10 11 | (mode 9) 11: 0 1 2 3 4 5 8 9 10 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 4 5 9 10 11 | (mode 1) 1: 0 3 4 8 9 10 11 | (mode 2) 4: 0 1 5 6 7 8 9 | (mode 3) 5: 0 4 5 6 7 8 11 | (mode 4) 9: 0 1 2 3 4 7 8 | (mode 5) 10: 0 1 2 3 6 7 11 | (mode 6) 11: 0 1 2 5 6 10 11 | (mode 0) 0: 0 1 2 4 7 9 10 11 | (mode 1) 1: 0 1 3 6 8 9 10 11 | (mode 2) 2: 0 2 5 7 8 9 10 11 | (mode 3) 4: 0 3 5 6 7 8 9 10 | (mode 4) 7: 0 2 3 4 5 6 7 9 | (mode 5) 9: 0 1 2 3 4 5 7 10 | (mode 6) 10: 0 1 2 3 4 6 9 11 | (mode 7) 11: 0 1 2 3 5 8 10 11 | (mode 0) 0: 0 1 3 4 8 9 10 11 | (mode 1) 1: 0 2 3 7 8 9 10 11 | (mode 2) 3: 0 1 5 6 7 8 9 10 | (mode 3) 4: 0 4 5 6 7 8 9 11 | (mode 4) 8: 0 1 2 3 4 5 7 8 | (mode 5) 9: 0 1 2 3 4 6 7 11 | (mode 6) 10: 0 1 2 3 5 6 10 11 | (mode 7) 11: 0 1 2 4 5 9 10 11 | (mode 0) 0: 0 1 4 5 6 9 10 11 | (mode 1) 1: 0 3 4 5 8 9 10 11 | (mode 2) 4: 0 1 2 5 6 7 8 9 | (mode 3) 5: 0 1 4 5 6 7 8 11 | (mode 4) 6: 0 3 4 5 6 7 10 11 | (mode 5) 9: 0 1 2 3 4 7 8 9 | (mode 6) 10: 0 1 2 3 6 7 8 11 | (mode 7) 11: 0 1 2 5 6 7 10 11 | (mode 0) 0: 0 1 2 4 5 7 9 10 11 | (mode 1) 1: 0 1 3 4 6 8 9 10 11 | (mode 2) 2: 0 2 3 5 7 8 9 10 11 | dorian & harmonic minor = aeolean & melodic minor (mode 3) 4: 0 1 3 5 6 7 8 9 10 | (mode 4) 5: 0 2 4 5 6 7 8 9 11 | (mode 5) 7: 0 2 3 4 5 6 7 9 10 | (mode 6) 9: 0 1 2 3 4 5 7 8 10 | (mode 7) 10: 0 1 2 3 4 6 7 9 11 | (mode 8) 11: 0 1 2 3 5 6 8 10 11 | (mode 0) 0: 0 1 2 3 4 7 8 9 10 11 | (mode 1) 1: 0 1 2 3 6 7 8 9 10 11 | (mode 2) 2: 0 1 2 5 6 7 8 9 10 11 | (mode 3) 3: 0 1 4 5 6 7 8 9 10 11 | (mode 4) 4: 0 3 4 5 6 7 8 9 10 11 | (mode 5) 7: 0 1 2 3 4 5 6 7 8 9 | 1st 10 notes of chromatic scale (mode 6) 8: 0 1 2 3 4 5 6 7 8 11 | (mode 7) 9: 0 1 2 3 4 5 6 7 10 11 | (mode 8) 10: 0 1 2 3 4 5 6 9 10 11 | (mode 9) 11: 0 1 2 3 4 5 8 9 10 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 4 9 10 11 = 0: 0 1 4 9 10 11 = 1: 0 3 8 9 10 11 = 4: 0 5 6 7 8 9 = 9: 0 1 2 3 4 7 = 10: 0 1 2 3 6 11 = 11: 0 1 2 5 10 11 1 9 9 0 1 2 3 4 7 = 0: 0 1 2 3 4 7 = 1: 0 1 2 3 6 11 = 2: 0 1 2 5 10 11 = 3: 0 1 4 9 10 11 = 4: 0 3 8 9 10 11 = 7: 0 5 6 7 8 9 1 10 10 0 1 2 3 6 11 = 0: 0 1 2 3 6 11 = 1: 0 1 2 5 10 11 = 2: 0 1 4 9 10 11 = 3: 0 3 8 9 10 11 = 6: 0 5 6 7 8 9 = 11: 0 1 2 3 4 7 Bright Layer Composition order pcset 1 0 1 4 9 10 11 = 0: 0 1 4 9 10 11 = 1: 0 3 8 9 10 11 = 4: 0 5 6 7 8 9 = 9: 0 1 2 3 4 7 = 10: 0 1 2 3 6 11 = 11: 0 1 2 5 10 11 2 0 1 4 5 6 7 8 9 10 11 = 0: 0 1 4 5 6 7 8 9 10 11 = 1: 0 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 = 5: 0 1 2 3 4 5 6 7 8 11 = 6: 0 1 2 3 4 5 6 7 10 11 = 7: 0 1 2 3 4 5 6 9 10 11 = 8: 0 1 2 3 4 5 8 9 10 11 = 9: 0 1 2 3 4 7 8 9 10 11 = 10: 0 1 2 3 6 7 8 9 10 11 = 11: 0 1 2 5 6 7 8 9 10 11 3 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 1 4 9 10 11 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 4 = 4 = 4: 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 4 = 1 4 = 1: 0 3 4: 0 9 4 9 = 4 9 = 4: 0 5 9: 0 7 9 10 = 9 10 = 9: 0 1 10: 0 11 10 11 = 10 11 = 10: 0 1 11: 0 11 11 0 = 0 11 = 11: 0 1 0: 0 11 subchroma modal system: 0 2 0 4 = 0 4 = 0: 0 4 4: 0 8 1 9 = 1 9 = 9: 0 4 1: 0 8 4 10 = 4 10 = 4 10: 0 6 9 11 = 9 11 = 9: 0 2 11: 0 10 10 0 = 0 10 = 10: 0 2 0: 0 10 11 1 = 1 11 = 11: 0 2 1: 0 10 subchroma modal system: 0 3 0 9 = 0 9 = 9: 0 3 0: 0 9 1 10 = 1 10 = 10: 0 3 1: 0 9 4 11 = 4 11 = 11: 0 5 4: 0 7 9 0 = 0 9 = 9: 0 3 0: 0 9 10 1 = 1 10 = 10: 0 3 1: 0 9 11 4 = 4 11 = 11: 0 5 4: 0 7 subchroma modal system: 0 1 2 0 1 4 = 0 1 4 = 0: 0 1 4 1: 0 3 11 1 4 9 = 1 4 9 = 9: 0 4 7 4 9 10 = 4 9 10 = 9: 0 1 7 9 10 11 = 9 10 11 = 9: 0 1 2 10: 0 1 11 11: 0 10 11 10 11 0 = 0 10 11 = 10: 0 1 2 11: 0 1 11 0: 0 10 11 11 0 1 = 0 1 11 = 11: 0 1 2 0: 0 1 11 1: 0 10 11 subchroma modal system: 0 1 3 0 1 9 = 0 1 9 = 9: 0 3 4 1 4 10 = 1 4 10 = 10: 0 3 6 1: 0 3 9 4 9 11 = 4 9 11 = 9: 0 2 7 4: 0 5 7 11: 0 5 10 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 4 = 0 4 11 = 0: 0 4 11 4: 0 7 8 subchroma modal system: 0 1 4 0 1 10 = 0 1 10 = 10: 0 2 3 1 4 11 = 1 4 11 = 1: 0 3 10 4: 0 7 9 4 9 0 = 0 4 9 = 9: 0 3 7 0: 0 4 9 9 10 1 = 1 9 10 = 9: 0 1 4 10: 0 3 11 10 11 4 = 4 10 11 = 4: 0 6 7 11 0 9 = 0 9 11 = 9: 0 2 3 subchroma modal system: 0 2 4 0 4 10 = 0 4 10 = 0: 0 4 10 1 9 11 = 1 9 11 = 9: 0 2 4 4 10 0 = 0 4 10 = 0: 0 4 10 9 11 1 = 1 9 11 = 9: 0 2 4 10 0 4 = 0 4 10 = 0: 0 4 10 11 1 9 = 1 9 11 = 9: 0 2 4 subchroma modal system: 0 1 2 3 0 1 4 9 = 0 1 4 9 = 9: 0 3 4 7 0: 0 1 4 9 1 4 9 10 = 1 4 9 10 = 9: 0 1 4 7 10: 0 3 6 11 4 9 10 11 = 4 9 10 11 = 9: 0 1 2 7 4: 0 5 6 7 11: 0 5 10 11 9 10 11 0 = 0 9 10 11 = 9: 0 1 2 3 11: 0 1 10 11 0: 0 9 10 11 10 11 0 1 = 0 1 10 11 = 10: 0 1 2 3 0: 0 1 10 11 1: 0 9 10 11 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 4 0 1 4 10 = 0 1 4 10 = 10: 0 2 3 6 0: 0 1 4 10 1: 0 3 9 11 1 4 9 11 = 1 4 9 11 = 9: 0 2 4 7 4: 0 5 7 9 4 9 10 0 = 0 4 9 10 = 9: 0 1 3 7 0: 0 4 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 4 = 0 4 10 11 = 0: 0 4 10 11 4: 0 6 7 8 11 0 1 9 = 0 1 9 11 = 9: 0 2 3 4 subchroma modal system: 0 1 3 4 0 1 9 10 = 0 1 9 10 = 9: 0 1 3 4 10: 0 2 3 11 1 4 10 11 = 1 4 10 11 = 10: 0 1 3 6 1: 0 3 9 10 4: 0 6 7 9 4 9 11 0 = 0 4 9 11 = 9: 0 2 3 7 0: 0 4 9 11 4: 0 5 7 8 9 10 0 1 = 0 1 9 10 = 9: 0 1 3 4 10: 0 2 3 11 10 11 1 4 = 1 4 10 11 = 10: 0 1 3 6 1: 0 3 9 10 4: 0 6 7 9 11 0 4 9 = 0 4 9 11 = 9: 0 2 3 7 0: 0 4 9 11 4: 0 5 7 8 subchroma modal system: 0 1 2 3 4 0 1 4 9 10 = 0 1 4 9 10 = 9: 0 1 3 4 7 10: 0 2 3 6 11 0: 0 1 4 9 10 1 4 9 10 11 = 1 4 9 10 11 = 9: 0 1 2 4 7 10: 0 1 3 6 11 4 9 10 11 0 = 0 4 9 10 11 = 9: 0 1 2 3 7 0: 0 4 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 4 = 0 1 4 10 11 = 10: 0 1 2 3 6 0: 0 1 4 10 11 1: 0 3 9 10 11 4: 0 6 7 8 9 11 0 1 4 9 = 0 1 4 9 11 = 9: 0 2 3 4 7 0: 0 1 4 9 11 4: 0 5 7 8 9 subchroma modal system: 0 1 2 3 4 5 0 1 4 9 10 11 = 0 1 4 9 10 11 = 9: 0 1 2 3 4 7 10: 0 1 2 3 6 11 0: 0 1 4 9 10 11 1 4 9 10 11 0 = 0 1 4 9 10 11 = 9: 0 1 2 3 4 7 10: 0 1 2 3 6 11 0: 0 1 4 9 10 11 4 9 10 11 0 1 = 0 1 4 9 10 11 = 9: 0 1 2 3 4 7 10: 0 1 2 3 6 11 0: 0 1 4 9 10 11 9 10 11 0 1 4 = 0 1 4 9 10 11 = 9: 0 1 2 3 4 7 10: 0 1 2 3 6 11 0: 0 1 4 9 10 11 10 11 0 1 4 9 = 0 1 4 9 10 11 = 9: 0 1 2 3 4 7 10: 0 1 2 3 6 11 0: 0 1 4 9 10 11 11 0 1 4 9 10 = 0 1 4 9 10 11 = 9: 0 1 2 3 4 7 10: 0 1 2 3 6 11 0: 0 1 4 9 10 11 Subset Chord Types by Root Set 0 :0 4 9 0 :0 4 10 0 :0 4 11 0 :0 1 4 9 0 :0 1 4 10 0 :0 1 4 11 0 :0 4 9 10 0 :0 4 9 11 0 :0 4 10 11 0 :0 1 4 9 10 0 :0 1 4 9 11 0 :0 1 4 10 11 0 :0 4 9 10 11 0 :0 1 4 9 10 11 0 1 :0 9 10 11 0 1 4 :0 9 0 1 4 9 10 11:0 0 1 10 11 :0 11 0 1 11 :0 10 0 1 11 :0 10 11 0 9 :0 4 0 9 :0 1 4 0 9 10 11 :0 1 0 10 11:0 1 11 0 11 :0 1 10 11 1 :0 3 9 1 :0 3 10 1 :0 3 9 10 1 :0 3 9 11 1 :0 3 10 11 1 :0 3 9 10 11 1 :0 8 9 10 11 1 4 :0 8 1 9 10 :0 3 1 10 :0 3 11 4 :0 5 7 4 :0 6 7 4 :0 7 8 4 :0 7 9 4 :0 5 6 7 4 :0 5 7 8 4 :0 5 7 9 4 :0 6 7 8 4 :0 6 7 9 4 :0 7 8 9 4 :0 5 7 8 9 4 :0 6 7 8 9 4 9 :0 7 4 10 :0 6 4 11 :0 5 9 :0 2 4 9 :0 3 4 9 :0 1 7 9 :0 2 7 9 :0 3 7 9 :0 4 7 9 :0 1 2 4 9 :0 1 3 4 9 :0 2 3 4 9 :0 1 2 7 9 :0 1 3 7 9 :0 1 4 7 9 :0 2 3 7 9 :0 2 4 7 9 :0 3 4 7 9 :0 1 2 3 4 9 :0 1 2 3 7 9 :0 1 2 4 7 9 :0 1 3 4 7 9 :0 2 3 4 7 9 :0 1 2 3 4 7 9 10 :0 1 3 9 10 :0 2 3 9 10 :0 1 2 3 9 10 11:0 2 9 10 11:0 1 2 10 :0 3 6 10 :0 1 3 6 10 :0 2 3 6 10 :0 1 3 11 10 :0 2 3 11 10 :0 3 6 11 10 :0 1 2 3 6 10 :0 1 2 3 11 10 :0 1 3 6 11 10 :0 2 3 6 11 10 :0 1 2 3 6 11 10 11 :0 2 11 11 :0 5 10 11 :0 2 10 11 11 :0 5 10 11 Superset Chord Types by Root Set 0 :0 1 4 9 10 11 0 :0 1 2 4 9 10 11 0 :0 1 3 4 9 10 11 0 :0 1 4 7 9 10 11 0 :0 1 2 3 4 9 10 11 0 :0 1 3 4 5 9 10 11 0 :0 1 2 4 7 9 10 11 0 :0 1 3 4 6 9 10 11 0 :0 1 3 4 7 9 10 11 0 :0 1 4 5 7 9 10 11 0 :0 1 4 6 7 9 10 11 0 :0 1 4 7 8 9 10 11 0 :0 1 2 4 6 7 9 10 11 0 :0 1 3 4 5 7 9 10 11 0 :0 1 3 4 6 7 9 10 11 0 :0 1 4 5 6 7 9 10 11 0 :0 1 4 5 7 8 9 10 11 0 1 :0 1 3 4 8 9 10 11 0 1 :0 1 3 4 7 8 9 10 11 0 1 :0 1 3 4 5 6 8 9 10 11 0 1 :0 1 3 4 5 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11:0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 9 10 :0 1 2 3 4 6 7 8 9 10 11 0 1 2 8 9 11 :0 1 2 3 4 5 7 8 9 10 11 0 1 2 9 :0 1 2 3 4 7 8 9 10 11 0 1 3 :0 1 3 4 6 7 8 9 10 11 0 1 3 4 5 6 :0 1 3 4 5 6 7 8 9 10 11 0 1 7 8 10 11 :0 1 2 3 4 5 6 8 9 10 11 0 1 8 11 :0 1 2 3 4 5 8 9 10 11 0 1 10 :0 1 2 3 4 6 8 9 10 11 0 2 :0 1 2 4 7 8 9 10 11 0 2 3 :0 1 2 4 6 7 8 9 10 11 0 2 3 4 5 11 :0 1 2 4 5 6 7 8 9 10 11 0 2 11 :0 1 2 4 5 7 8 9 10 11 0 3 :0 1 4 6 7 8 9 10 11 0 3 4 5 :0 1 4 5 6 7 8 9 10 11 0 6 :0 1 3 4 5 6 7 9 10 11 0 6 7 9 10 11 :0 1 2 3 4 5 6 7 9 10 11 0 7 10 11 :0 1 2 3 4 5 6 9 10 11 0 9 :0 1 2 3 4 7 9 10 11 0 9 10 :0 1 2 3 4 6 7 9 10 11 0 9 11 :0 1 2 3 4 5 7 9 10 11 0 11 :0 1 2 4 5 7 9 10 11 0 11 :0 1 2 4 5 6 7 9 10 11 0 11 :0 1 2 4 5 6 8 9 10 11 1 :0 3 4 8 9 10 11 1 :0 3 7 8 9 10 11 1 :0 2 3 4 8 9 10 11 1 :0 2 3 5 8 9 10 11 1 :0 1 3 7 8 9 10 11 1 :0 3 4 7 8 9 10 11 1 :0 3 5 7 8 9 10 11 1 :0 3 6 7 8 9 10 11 1 :0 2 3 5 6 8 9 10 11 1 :0 1 3 5 7 8 9 10 11 1 :0 3 4 5 7 8 9 10 11 1 :0 3 4 6 7 8 9 10 11 1 2 :0 2 3 7 8 9 10 11 1 2 :0 2 3 4 7 8 9 10 11 1 2 :0 1 2 3 7 8 9 10 11 1 2 :0 2 3 5 7 8 9 10 11 1 2 :0 2 3 6 7 8 9 10 11 1 2 :0 2 3 4 5 7 8 9 10 11 1 2 :0 2 3 4 6 7 8 9 10 11 1 2 3 4 10 11 :0 1 2 3 5 6 7 8 9 10 11 1 2 3 10 :0 1 2 3 6 7 8 9 10 11 1 2 4 :0 2 3 5 6 7 8 9 10 11 1 2 4 5 6 7 :0 2 3 4 5 6 7 8 9 10 11 1 2 11 :0 1 2 3 5 7 8 9 10 11 1 3 :0 1 3 6 7 8 9 10 11 1 3 4 :0 1 3 5 6 7 8 9 10 11 1 4 :0 3 5 6 7 8 9 10 11 1 4 5 6 :0 3 4 5 6 7 8 9 10 11 1 7 :0 2 3 4 5 6 8 9 10 11 1 10 11 :0 1 2 3 5 6 8 9 10 11 2 :0 2 7 8 9 10 11 2 :0 1 2 7 8 9 10 11 2 :0 2 4 7 8 9 10 11 2 :0 2 5 7 8 9 10 11 2 :0 2 6 7 8 9 10 11 2 :0 2 4 5 7 8 9 10 11 2 :0 2 4 6 7 8 9 10 11 2 3 :0 1 2 6 7 8 9 10 11 2 3 4 11 :0 1 2 5 6 7 8 9 10 11 2 4 5 :0 2 4 5 6 7 8 9 10 11 2 11 :0 1 2 5 7 8 9 10 11 3 :0 1 6 7 8 9 10 3 :0 1 2 6 7 8 9 10 3 :0 1 3 6 7 8 9 10 3 :0 1 4 6 7 8 9 10 3 :0 1 6 7 8 9 10 11 3 :0 1 2 3 6 7 8 9 10 3 :0 1 2 4 6 7 8 9 10 3 :0 1 3 4 6 7 8 9 10 3 4 :0 1 3 5 6 7 8 9 10 3 4 :0 1 4 5 6 7 8 9 10 3 4 :0 1 2 3 5 6 7 8 9 10 3 4 :0 1 2 4 5 6 7 8 9 10 3 4 6 :0 1 3 4 5 6 7 8 9 10 3 4 6 7 8 9 :0 1 2 3 4 5 6 7 8 9 10 3 9 :0 1 2 3 4 6 7 8 9 10 4 :0 3 5 6 7 8 9 4 :0 4 5 6 7 8 9 4 :0 1 2 5 6 7 8 9 4 :0 1 3 5 6 7 8 9 4 :0 2 3 5 6 7 8 9 4 :0 1 4 5 6 7 8 9 4 :0 2 5 6 7 8 9 10 4 :0 3 5 6 7 8 9 10 4 :0 3 5 6 7 8 9 11 4 :0 4 5 6 7 8 9 10 4 :0 1 2 3 5 6 7 8 9 4 :0 1 2 4 5 6 7 8 9 4 :0 1 3 5 6 7 8 9 11 4 :0 2 3 5 6 7 8 9 10 4 :0 2 3 5 6 7 8 9 11 4 :0 2 4 5 6 7 8 9 10 4 5 :0 1 4 5 6 7 8 9 11 4 5 :0 2 4 5 6 7 8 9 11 4 5 :0 3 4 5 6 7 8 9 11 4 5 :0 4 5 6 7 8 9 10 11 4 5 :0 1 2 4 5 6 7 8 9 11 4 5 :0 1 3 4 5 6 7 8 9 11 4 5 7 :0 2 3 4 5 6 7 8 9 11 4 5 7 8 9 10 :0 1 2 3 4 5 6 7 8 9 11 4 6 :0 3 4 5 6 7 8 9 10 4 6 7 :0 2 3 4 5 6 7 8 9 10 4 7 :0 2 3 4 5 6 7 8 9 4 7 8 9 :0 1 2 3 4 5 6 7 8 9 4 10 :0 1 2 3 5 6 7 8 9 11 5 :0 4 5 6 7 8 11 5 :0 1 4 5 6 7 8 11 5 :0 2 4 5 6 7 8 11 5 :0 3 4 5 6 7 8 11 5 :0 4 5 6 7 8 10 11 5 :0 1 2 4 5 6 7 8 11 5 :0 1 3 4 5 6 7 8 11 5 :0 2 3 4 5 6 7 8 11 5 :0 1 4 5 6 7 8 10 11 5 :0 2 4 5 6 7 8 10 11 5 6 :0 3 4 5 6 7 8 10 11 5 6 :0 1 3 4 5 6 7 8 10 11 5 6 :0 2 3 4 5 6 7 8 10 11 5 6 8 9 10 11 :0 1 2 3 4 5 6 7 8 10 11 5 8 9 10 :0 1 2 3 4 5 6 7 8 11 5 11 :0 1 2 4 5 6 7 8 10 11 6 :0 3 4 5 6 7 10 6 :0 1 3 4 5 6 7 10 6 :0 2 3 4 5 6 7 10 6 :0 3 4 5 6 7 8 10 6 :0 3 4 5 6 7 9 10 6 :0 3 4 5 6 7 10 11 6 :0 1 3 4 5 6 7 8 10 6 :0 1 3 4 5 6 7 9 10 6 :0 1 3 4 5 6 7 10 11 6 :0 2 3 4 5 6 7 8 10 6 :0 2 3 4 5 6 7 10 11 6 :0 3 4 5 6 7 9 10 11 6 7 :0 2 3 4 5 6 7 9 10 6 7 :0 2 3 4 5 6 7 9 10 11 6 7 9 :0 1 2 3 4 5 6 7 9 10 6 8 9 :0 1 2 3 4 5 6 7 8 10 6 9 :0 1 2 3 4 5 6 7 10 6 9 10 11 :0 1 2 3 4 5 6 7 10 11 7 :0 2 3 4 5 6 9 7 :0 2 3 4 5 6 9 10 7 :0 2 3 4 5 6 7 9 7 :0 1 2 3 4 5 6 9 10 7 :0 2 3 4 5 6 7 9 11 7 :0 2 3 4 5 6 9 10 11 7 8 :0 1 2 3 4 5 6 8 9 10 7 8 10 :0 1 2 3 4 5 6 8 9 11 7 9 :0 1 2 3 4 5 6 7 9 7 9 10 :0 1 2 3 4 5 6 7 9 11 8 :0 1 2 3 4 5 6 8 10 8 9 :0 1 2 3 4 5 7 8 8 9 :0 1 2 3 4 5 6 7 8 8 9 :0 1 2 3 4 5 7 8 9 8 9 :0 1 2 3 4 5 7 8 10 8 9 :0 1 2 3 4 5 7 8 11 8 9 :0 1 2 3 4 5 7 8 9 10 8 9 :0 1 2 3 4 5 7 8 9 11 8 9 11 :0 1 2 3 4 5 7 8 10 11 8 10 11 :0 1 2 3 4 5 6 8 10 11 9 :0 1 2 3 4 7 9 :0 1 2 3 4 5 7 9 :0 1 2 3 4 6 7 9 :0 1 2 3 4 7 8 9 :0 1 2 3 4 7 9 9 :0 1 2 3 4 7 10 9 :0 1 2 3 4 7 11 9 :0 1 2 3 4 5 6 7 9 :0 1 2 3 4 5 7 9 9 :0 1 2 3 4 6 7 8 9 :0 1 2 3 4 6 7 9 9 :0 1 2 3 4 5 7 10 9 :0 1 2 3 4 5 7 11 9 :0 1 2 3 4 6 7 10 9 :0 1 2 3 4 7 8 9 9 :0 1 2 3 4 7 8 10 9 :0 1 2 3 4 7 8 11 9 :0 1 2 3 4 7 9 10 9 :0 1 2 3 4 7 9 11 9 :0 1 2 3 4 7 10 11 9 :0 1 2 3 4 6 7 8 9 9 :0 1 2 3 4 5 7 9 10 9 :0 1 2 3 4 5 7 9 11 9 :0 1 2 3 4 6 7 8 10 9 :0 1 2 3 4 6 7 9 10 9 :0 1 2 3 4 7 8 9 10 9 :0 1 2 3 4 7 8 9 11 9 :0 1 2 3 4 7 8 10 11 9 10 :0 1 2 3 4 6 7 11 9 10 :0 1 2 3 4 5 6 7 11 9 10 :0 1 2 3 4 6 7 8 11 9 10 :0 1 2 3 4 6 7 9 11 9 10 :0 1 2 3 4 6 7 10 11 9 10 :0 1 2 3 4 6 7 8 9 11 9 10 :0 1 2 3 4 6 7 8 10 11 9 11 :0 1 2 3 4 5 7 10 11 10 :0 1 2 3 6 11 10 :0 1 2 3 6 7 11 10 :0 1 2 3 6 10 11 10 :0 1 2 3 5 6 7 11 10 :0 1 2 3 6 7 8 11 10 :0 1 2 3 6 7 9 11 10 :0 1 2 3 6 7 10 11 10 :0 1 2 3 4 6 8 10 11 10 :0 1 2 3 5 6 7 8 11 10 :0 1 2 3 5 6 7 9 11 10 :0 1 2 3 5 6 8 9 11 10 :0 1 2 3 6 7 8 9 11 10 :0 1 2 3 6 7 8 10 11 10 :0 1 2 3 6 7 9 10 11 10 11 :0 1 2 3 5 6 7 10 11 10 11 :0 1 2 3 5 6 7 8 10 11 10 11 :0 1 2 3 5 6 7 9 10 11 11 :0 1 2 5 7 10 11 11 :0 1 2 3 5 7 10 11 11 :0 1 2 4 5 7 10 11 11 :0 1 2 5 6 7 10 11 11 :0 1 2 5 7 8 10 11 11 :0 1 2 5 7 9 10 11 11 :0 1 2 4 5 6 7 10 11 11 :0 1 2 3 5 7 8 10 11 11 :0 1 2 3 5 7 9 10 11 11 :0 1 2 4 5 7 8 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 4 9 10 11 = 0: 0 1 4 9 10 11 = 1: 0 3 8 9 10 11 = 4: 0 5 6 7 8 9 = 9: 0 1 2 3 4 7 = 10: 0 1 2 3 6 11 = 11: 0 1 2 5 10 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11 0 2 = maj. 2nd, dim., maj. 9th | 9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 1 9 10 = 1: 0 8 9 = 9: 0 1 4 = 10: 0 3 11 0 4 = maj. 3rd, maj. 10th, dim. 4th | 0 9 = 0: 0 9 = 9: 0 3 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 4 11 = 4: 0 7 = 11: 0 5 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 4 10 = 4: 0 6 = 10: 0 6 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 4 9 = 4: 0 5 = 9: 0 7 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 1 4 = 1: 0 3 = 4: 0 9 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 1 4 = 0: 0 1 4 = 1: 0 3 11 = 4: 0 8 9 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 0 11 = maj. 7th, maj. 14th | 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 9 10 = 9: 0 1 = 10: 0 11 0 1 4 | 0 9 = 0: 0 9 = 9: 0 3 0 2 3 = min. trichord | 9 10 = 9: 0 1 = 10: 0 11 0 2 4 = maj. trichord | 9 = 9: 0 0 3 4 | 9 = 9: 0 Sus2 triads (Scale Degrees: 125) 0 1 7 | 9 = 9: 0 0 2 7 = sus2, 3 in 5ths | 9 = 9: 0 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 2 11 | 10 11 = 10: 0 1 = 11: 0 11 Triads (Scale Degrees: 135) 0 3 6 = dim. | 10 = 10: 0 0 3 7 = m = minor | 9 = 9: 0 0 4 7 = M = major | 9 = 9: 0 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 1 = 1: 0 0 4 9 = M6 no 5th | 0 = 0: 0 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 1 = 1: 0 0 3 11 = mM7 no 5th | 1 10 = 1: 0 9 = 10: 0 3 0 4 10 = 7 no 5th | 0 = 0: 0 0 4 11 = M7 no 5th | 0 = 0: 0 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 4 = 4: 0 0 6 7 = sus#4, Viennese trichord | 4 = 4: 0 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 11 = 11: 0 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 4 = 4: 0 0 7 9 | 4 = 4: 0 Scale Degrees: 167 0 10 11 | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 chromatic tetrachord (Scale Degrees: 1223) 0 1 2 3 = chromatic tetrachord | 9 10 = 9: 0 1 = 10: 0 11 0 1 2 4 | 9 = 9: 0 0 1 3 4 = 1st 4 aux dim. | 9 = 9: 0 0 2 3 4 | 9 = 9: 0 Scale Degrees: 1225 0 1 2 7 | 9 = 9: 0 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 10 = 10: 0 0 1 3 7 = m add b9, all-int | 9 = 9: 0 0 1 4 7 = M add b9 | 9 = 9: 0 0 2 3 6 = dim. add 9 | 10 = 10: 0 0 2 3 7 = m add9 | 9 = 9: 0 0 2 4 7 = add9 , Mu chord | 9 = 9: 0 0 3 4 7 = add #9, maj-min chord | 9 = 9: 0 6/9 chord no 5th (Scale Degrees: 1236) 0 1 4 9 | 0 = 0: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 11 = Mm7b9 no 5th | 10 = 10: 0 0 1 4 10 = 7b9 no 5th | 0 = 0: 0 0 1 4 11 = M7b9 no 5th | 0 = 0: 0 0 2 3 11 = mM9 no 5th | 10 = 10: 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 10 11 | 11 = 11: 0 7th Chords (Scale Degrees: 1357) 0 3 6 11 = mM7b5, dim. maj. 7th chord | 10 = 10: 0 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 10 = m7/6 no 5th | 1 = 1: 0 0 3 9 11 = mM7/6 no 5th | 1 = 1: 0 0 3 10 11 = mM7#6 no 5th | 1 = 1: 0 0 4 9 10 = 7/6 no 5th, all-int |

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

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

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

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

Chord Type		Roots
Unison (Scale Degrees: 1)
0 = root, unison, octave	\|	0 1 4 9 10 11 = 0: 0 1 4 9 10 11 = 1: 0 3 8 9 10 11 = 4: 0 5 6 7 8 9 = 9: 0 1 2 3 4 7 = 10: 0 1 2 3 6 11 = 11: 0 1 2 5 10 11

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

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

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

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

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

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

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

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

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

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

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	10 = 10: 0
0 3 7 = m = minor	\|	9 = 9: 0
0 4 7 = M = major	\|	9 = 9: 0

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

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

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

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

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

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

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

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

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

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

9th chords no 5th (Scale Degrees: 1237)
0 1 3 11 = Mm7b9 no 5th	\|	10 = 10: 0
0 1 4 10 = 7b9 no 5th	\|	0 = 0: 0
0 1 4 11 = M7b9 no 5th	\|	0 = 0: 0
0 2 3 11 = mM9 no 5th	\|	10 = 10: 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 10 11	\|	11 = 11: 0

7th Chords (Scale Degrees: 1357)
0 3 6 11 = mM7b5, dim. maj. 7th chord	\|	10 = 10: 0

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 10 = m7/6 no 5th	\|	1 = 1: 0
0 3 9 11 = mM7/6 no 5th	\|	1 = 1: 0
0 3 10 11 = mM7#6 no 5th	\|	1 = 1: 0
0 4 9 10 = 7/6 no 5th, all-int	\|