Chord Type: 0 3 4 5 6 10

0 3 4 5 6 10 = 11b5#9

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Chord Type: 0 3 4 5 6 10

General Statistics Cardinality: 6 Jordan Number: 6-21 Forte Number: 6-z41 Forte Prime Form: [0,1,2,3,6,8] Zeitler Scale Name: Zygimic Ian Ring's Scale Page 1145 Root Reference: 0 3 4 5 6 10 Tone Stacking: 0 3 1 1 1 4 Interval Stacking: 3 1 1 1 4 2 Binary: 1 0 0 1 1 1 1 0 0 0 1 0 Decimal Value: 1145 Interval Vector: 3 3 2 2 3 2 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.667 Harmonic Adjacency (0-1): 0.667 Modal-system-invariant under multiplication by: 1 7 Modal System Balanced: no Diachromatic Family: 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 3 5 7 10 = m11b9 0 1 3 5 7 11 = mM11b9 0 1 3 6 7 10 = m#11b9 0 1 3 6 7 11 = mM#11b9, all-tri hex 0 1 4 5 7 10 = 11b9 0 1 4 5 7 11 = M11b9 0 1 4 6 7 10 = M#11b9, Tritone scale, Petrushka 0 1 4 6 7 11 = 7#11b9 0 1 4 6 8 10 = 7#5#11b9 0 2 3 5 6 10 = m11b5 0 2 3 5 6 11 = mM#11 0 2 3 5 7 10 = m11 0 2 3 5 7 11 = mM11 0 2 3 6 7 10 = m#11 0 2 3 6 7 11 = mM#11 0 2 4 5 6 11 = mM11b5 0 2 4 5 7 10 = 11 0 2 4 5 7 11 = M11 0 2 4 6 7 10 = 7#11, alt. chord 0 2 4 6 7 11 = M7#11 0 2 4 6 8 10 = 7#11#5, whole tone, type F ACH ->0 3 4 5 6 10 = 11b5#9 0 3 4 5 6 11 = M11b5#9 0 3 4 5 7 10 = 11#9 0 3 4 5 7 11 = M11#9 0 3 4 6 7 10 = 7#9#11 0 3 4 6 7 11 = M7#9#11 All Transpositions of Chord Type: +0= 0 3 4 5 6 10 |11b5#9 +1= 1 4 5 6 7 11 | +2= 0 2 5 6 7 8 | +3= 1 3 6 7 8 9 | +4= 2 4 7 8 9 10 | +5= 3 5 8 9 10 11 | +6= 0 4 6 9 10 11 | +7= 0 1 5 7 10 11 | +8= 0 1 2 6 8 11 | +9= 0 1 2 3 7 9 | +10= 1 2 3 4 8 10 | +11= 2 3 4 5 9 11 | Modes of Chord Type: (mode 0) 0: 0 3 4 5 6 10 | 11b5#9 (mode 1) 3: 0 1 2 3 7 9 | (mode 2) 4: 0 1 2 6 8 11 | (mode 3) 5: 0 1 5 7 10 11 | (mode 4) 6: 0 4 6 9 10 11 | (mode 5) 10: 0 2 5 6 7 8 | Modes of Chord Type Sorted by Rootedness: 1.408(mode 1)3:0 1 2 3 7 9 | 1.108(mode 4)6:0 4 6 9 10 11 | 1.042(mode 3)5:0 1 5 7 10 11 | .692(mode 0)0:0 3 4 5 6 10 |11b5#9 .308(mode 2)4:0 1 2 6 8 11 | .308(mode 5)10:0 2 5 6 7 8 | Inversion at 0: 0 2 6 7 8 9 (mode 0) 0: 0 2 6 7 8 9 | (mode 1) 2: 0 4 5 6 7 10 | (mode 2) 6: 0 1 2 3 6 8 | (mode 3) 7: 0 1 2 5 7 11 | (mode 4) 8: 0 1 4 6 10 11 | (mode 5) 9: 0 3 5 9 10 11 | Times 7: 0 4 6 9 10 11 (mode 0) 0: 0 4 6 9 10 11 | (mode 1) 4: 0 2 5 6 7 8 | (mode 2) 6: 0 3 4 5 6 10 | 11b5#9 (mode 3) 9: 0 1 2 3 7 9 | (mode 4) 10: 0 1 2 6 8 11 | (mode 5) 11: 0 1 5 7 10 11 | Times 5: 0 1 2 3 6 8 (mode 0) 0: 0 1 2 3 6 8 | (mode 1) 1: 0 1 2 5 7 11 | (mode 2) 2: 0 1 4 6 10 11 | (mode 3) 3: 0 3 5 9 10 11 | (mode 4) 6: 0 2 6 7 8 9 | (mode 5) 8: 0 4 5 6 7 10 | Modal System: 0 1 2 3 7 9 from root(s) 3 | "11b5#9 modal system" Modes of Modal System: (mode 0) 0: 0 1 2 3 7 9 | (mode 1) 1: 0 1 2 6 8 11 | (mode 2) 2: 0 1 5 7 10 11 | (mode 3) 3: 0 4 6 9 10 11 | (mode 4) 7: 0 2 5 6 7 8 | (mode 5) 9: 0 3 4 5 6 10 | 11b5#9 Complement: 1 2 7 8 9 11 (mode 0) 1: 0 1 6 7 8 10 | (mode 1) 2: 0 5 6 7 9 11 | (mode 2) 7: 0 1 2 4 6 7 | (mode 3) 8: 0 1 3 5 6 11 | (mode 4) 9: 0 2 4 5 10 11 | M#13 no 5 (mode 5) 11: 0 2 3 8 9 10 | All but the root (subchroma complement of 0): 3 4 5 6 10 (mode 0) 3: 0 1 2 3 7 | (mode 1) 4: 0 1 2 6 11 | (mode 2) 5: 0 1 5 10 11 | (mode 3) 6: 0 4 9 10 11 | (mode 4) 10: 0 5 6 7 8 | 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 6 10 (mode 0) 0: 0 3 6 10 | m7b5 = Tristan chord = half-diminished 7th chord (mode 1) 3: 0 3 7 9 | m6 = Tristan chord (mode 2) 6: 0 4 6 9 | (mode 3) 10: 0 2 5 8 | Dechromaticised but Keep 0 0 3 6 10 (unchanged) (mode 0) 0: 0 3 6 10 | m7b5 = Tristan chord = half-diminished 7th chord (mode 1) 3: 0 3 7 9 | m6 = Tristan chord (mode 2) 6: 0 4 6 9 | (mode 3) 10: 0 2 5 8 | Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 0 3 4 6 10 (mode 0) 0: 0 3 4 6 10 | 7b5#9 (mode 1) 3: 0 1 3 7 9 | (mode 2) 4: 0 2 6 8 11 | (mode 3) 6: 0 4 6 9 10 | (mode 4) 10: 0 2 5 6 8 | Alt-Dechromaticised: 0 3 4 6 (mode 0) 0: 0 3 4 6 | Mb5 add #9 (mode 1) 3: 0 1 3 9 | (mode 2) 4: 0 2 8 11 | (mode 3) 6: 0 6 9 10 | Alt-Dechromaticised but Keep 0 0 3 4 6 (unchanged) (mode 0) 0: 0 3 4 6 | Mb5 add #9 (mode 1) 3: 0 1 3 9 | (mode 2) 4: 0 2 8 11 | (mode 3) 6: 0 6 9 10 | Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 0 3 4 6 (unchanged) (mode 0) 0: 0 3 4 6 | Mb5 add #9 (mode 1) 3: 0 1 3 9 | (mode 2) 4: 0 2 8 11 | (mode 3) 6: 0 6 9 10 | 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 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 1 3 3 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 1 5 5 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 1 6 6 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 Bright Layer Composition order pcset 1 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 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 3 0 1 2 3 4 5 6 7 8 10 11 = 0: 0 1 2 3 4 5 6 7 8 10 11 = 1: 0 1 2 3 4 5 6 7 9 10 11 = 2: 0 1 2 3 4 5 6 8 9 10 11 = 3: 0 1 2 3 4 5 7 8 9 10 11 = 4: 0 1 2 3 4 6 7 8 9 10 11 = 5: 0 1 2 3 5 6 7 8 9 10 11 = 6: 0 1 2 4 5 6 7 8 9 10 11 = 7: 0 1 3 4 5 6 7 8 9 10 11 = 8: 0 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 = 11: 0 1 2 3 4 5 6 7 8 9 11 4 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 4 5 6 10 subchroma modal system: 0 0 = 0 = 0: 0 3 = 3 = 3: 0 4 = 4 = 4: 0 5 = 5 = 5: 0 6 = 6 = 6: 0 10 = 10 = 10: 0 subchroma modal system: 0 1 0 3 = 0 3 = 0: 0 3 3: 0 9 3 4 = 3 4 = 3: 0 1 4: 0 11 4 5 = 4 5 = 4: 0 1 5: 0 11 5 6 = 5 6 = 5: 0 1 6: 0 11 6 10 = 6 10 = 6: 0 4 10: 0 8 10 0 = 0 10 = 10: 0 2 0: 0 10 subchroma modal system: 0 2 0 4 = 0 4 = 0: 0 4 4: 0 8 3 5 = 3 5 = 3: 0 2 5: 0 10 4 6 = 4 6 = 4: 0 2 6: 0 10 5 10 = 5 10 = 5: 0 5 10: 0 7 6 0 = 0 6 = 0 6: 0 6 10 3 = 3 10 = 10: 0 5 3: 0 7 subchroma modal system: 0 3 0 5 = 0 5 = 0: 0 5 5: 0 7 3 6 = 3 6 = 3: 0 3 6: 0 9 4 10 = 4 10 = 4 10: 0 6 5 0 = 0 5 = 0: 0 5 5: 0 7 6 3 = 3 6 = 3: 0 3 6: 0 9 10 4 = 4 10 = 4 10: 0 6 subchroma modal system: 0 1 2 0 3 4 = 0 3 4 = 0: 0 3 4 3 4 5 = 3 4 5 = 3: 0 1 2 4: 0 1 11 5: 0 10 11 4 5 6 = 4 5 6 = 4: 0 1 2 5: 0 1 11 6: 0 10 11 5 6 10 = 5 6 10 = 6: 0 4 11 10: 0 7 8 6 10 0 = 0 6 10 = 6: 0 4 6 10 0 3 = 0 3 10 = 0: 0 3 10 3: 0 7 9 subchroma modal system: 0 1 3 0 3 5 = 0 3 5 = 0: 0 3 5 5: 0 7 10 3 4 6 = 3 4 6 = 3: 0 1 3 4: 0 2 11 4 5 10 = 4 5 10 = 10: 0 6 7 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 0 4 = 0 4 10 = 0: 0 4 10 subchroma modal system: 0 1 4 0 3 6 = 0 3 6 = 0: 0 3 6 3: 0 3 9 3 4 10 = 3 4 10 = 3: 0 1 7 4 5 0 = 0 4 5 = 0: 0 4 5 5: 0 7 11 5 6 3 = 3 5 6 = 3: 0 2 3 6 10 4 = 4 6 10 = 6: 0 4 10 10 0 5 = 0 5 10 = 10: 0 2 7 5: 0 5 7 0: 0 5 10 subchroma modal system: 0 2 4 0 4 6 = 0 4 6 = 0: 0 4 6 3 5 10 = 3 5 10 = 3: 0 2 7 10: 0 5 7 5: 0 5 10 4 6 0 = 0 4 6 = 0: 0 4 6 5 10 3 = 3 5 10 = 3: 0 2 7 10: 0 5 7 5: 0 5 10 6 0 4 = 0 4 6 = 0: 0 4 6 10 3 5 = 3 5 10 = 3: 0 2 7 10: 0 5 7 5: 0 5 10 subchroma modal system: 0 1 2 3 0 3 4 5 = 0 3 4 5 = 0: 0 3 4 5 5: 0 7 10 11 3 4 5 6 = 3 4 5 6 = 3: 0 1 2 3 5: 0 1 10 11 6: 0 9 10 11 4 5 6 10 = 4 5 6 10 = 6: 0 4 10 11 10: 0 6 7 8 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 0 3 = 0 3 6 10 = 3: 0 3 7 9 0: 0 3 6 10 10 0 3 4 = 0 3 4 10 = 0: 0 3 4 10 3: 0 1 7 9 subchroma modal system: 0 1 2 4 0 3 4 6 = 0 3 4 6 = 0: 0 3 4 6 3 4 5 10 = 3 4 5 10 = 3: 0 1 2 7 10: 0 5 6 7 5: 0 5 10 11 4 5 6 0 = 0 4 5 6 = 5: 0 1 7 11 0: 0 4 5 6 5 6 10 3 = 3 5 6 10 = 3: 0 2 3 7 6: 0 4 9 11 10: 0 5 7 8 6 10 0 4 = 0 4 6 10 = 0 6: 0 4 6 10 10 0 3 5 = 0 3 5 10 = 10: 0 2 5 7 3: 0 2 7 9 0: 0 3 5 10 5: 0 5 7 10 subchroma modal system: 0 1 3 4 0 3 5 6 = 0 3 5 6 = 5: 0 1 7 10 0: 0 3 5 6 3 4 6 10 = 3 4 6 10 = 3: 0 1 3 7 6: 0 4 9 10 4 5 10 0 = 0 4 5 10 = 10: 0 2 6 7 0: 0 4 5 10 5: 0 5 7 11 5 6 0 3 = 0 3 5 6 = 5: 0 1 7 10 0: 0 3 5 6 6 10 3 4 = 3 4 6 10 = 3: 0 1 3 7 6: 0 4 9 10 10 0 4 5 = 0 4 5 10 = 10: 0 2 6 7 0: 0 4 5 10 5: 0 5 7 11 subchroma modal system: 0 1 2 3 4 0 3 4 5 6 = 0 3 4 5 6 = 0: 0 3 4 5 6 5: 0 1 7 10 11 3 4 5 6 10 = 3 4 5 6 10 = 3: 0 1 2 3 7 6: 0 4 9 10 11 4 5 6 10 0 = 0 4 5 6 10 = 10: 0 2 6 7 8 5: 0 1 5 7 11 0: 0 4 5 6 10 6: 0 4 6 10 11 5 6 10 0 3 = 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 6 10 0 3 4 = 0 3 4 6 10 = 3: 0 1 3 7 9 0: 0 3 4 6 10 10 0 3 4 5 = 0 3 4 5 10 = 3: 0 1 2 7 9 0: 0 3 4 5 10 5: 0 5 7 10 11 subchroma modal system: 0 1 2 3 4 5 0 3 4 5 6 10 = 0 3 4 5 6 10 = 3: 0 1 2 3 7 9 0: 0 3 4 5 6 10 5: 0 1 5 7 10 11 6: 0 4 6 9 10 11 3 4 5 6 10 0 = 0 3 4 5 6 10 = 3: 0 1 2 3 7 9 0: 0 3 4 5 6 10 5: 0 1 5 7 10 11 6: 0 4 6 9 10 11 4 5 6 10 0 3 = 0 3 4 5 6 10 = 3: 0 1 2 3 7 9 0: 0 3 4 5 6 10 5: 0 1 5 7 10 11 6: 0 4 6 9 10 11 5 6 10 0 3 4 = 0 3 4 5 6 10 = 3: 0 1 2 3 7 9 0: 0 3 4 5 6 10 5: 0 1 5 7 10 11 6: 0 4 6 9 10 11 6 10 0 3 4 5 = 0 3 4 5 6 10 = 3: 0 1 2 3 7 9 0: 0 3 4 5 6 10 5: 0 1 5 7 10 11 6: 0 4 6 9 10 11 10 0 3 4 5 6 = 0 3 4 5 6 10 = 3: 0 1 2 3 7 9 0: 0 3 4 5 6 10 5: 0 1 5 7 10 11 6: 0 4 6 9 10 11 Subset Chord Types by Root Set 0 :0 3 4 0 :0 3 5 0 :0 4 5 0 :0 3 6 0 :0 3 10 0 :0 3 4 5 0 :0 3 4 6 0 :0 3 4 10 0 :0 3 5 6 0 :0 4 5 6 0 :0 3 5 10 0 :0 4 5 10 0 :0 3 6 10 0 :0 3 4 5 6 0 :0 3 4 5 10 0 :0 3 4 6 10 0 :0 3 5 6 10 0 :0 4 5 6 10 0 :0 3 4 5 6 10 0 3 :0 3 0 3 4 5 6 10:0 0 4 6 10 :0 6 0 5 :0 5 10 0 5 6 :0 10 0 5 10 :0 5 0 6 :0 4 0 6 :0 4 6 0 6 :0 4 10 0 6 :0 4 6 10 3 :0 1 3 3 :0 2 3 3 :0 3 7 3 :0 3 9 3 :0 7 9 3 :0 1 2 3 3 :0 1 2 7 3 :0 1 3 7 3 :0 2 3 7 3 :0 1 7 9 3 :0 2 7 9 3 :0 3 7 9 3 :0 1 2 3 7 3 :0 1 2 7 9 3 :0 1 3 7 9 3 :0 2 3 7 9 3 :0 1 2 3 7 9 3 4 :0 1 2 3 4 5 :0 1 3 4 10 :0 2 3 5 :0 1 7 3 5 10 :0 7 3 6 :0 9 3 10 :0 2 7 4 :0 2 11 4 5 :0 1 11 4 5 6 :0 11 4 10 :0 8 5 :0 7 10 5 :0 7 11 5 :0 1 5 7 5 :0 1 7 10 5 :0 1 7 11 5 :0 1 10 11 5 :0 5 7 10 5 :0 5 7 11 5 :0 5 10 11 5 :0 7 10 11 5 :0 1 5 7 10 5 :0 1 5 7 11 5 :0 1 7 10 11 5 :0 5 7 10 11 5 :0 1 5 7 10 11 5 6 :0 10 11 5 10 :0 5 7 6 :0 4 9 6 :0 4 11 6 :0 4 6 11 6 :0 4 9 10 6 :0 4 9 11 6 :0 4 10 11 6 :0 9 10 11 6 :0 4 6 10 11 6 :0 4 9 10 11 6 :0 4 6 9 10 11 10 :0 6 7 10 :0 7 8 10 :0 2 5 7 10 :0 2 6 7 10 :0 2 7 8 10 :0 5 6 7 10 :0 5 7 8 10 :0 6 7 8 10 :0 2 5 7 8 10 :0 2 6 7 8 Superset Chord Types by Root Set 0 :0 3 4 5 6 10 0 :0 2 3 4 5 6 10 0 :0 3 4 5 6 7 10 0 :0 3 4 5 6 8 10 0 :0 3 4 5 6 9 10 0 :0 3 4 5 6 10 11 0 :0 1 2 3 4 5 6 10 0 :0 1 3 4 5 6 7 10 0 :0 2 3 4 5 6 7 10 0 :0 1 3 4 5 6 9 10 0 :0 2 3 4 5 6 9 10 0 :0 2 3 4 5 6 10 11 0 :0 3 4 5 6 7 8 10 0 :0 3 4 5 6 7 9 10 0 :0 3 4 5 6 7 10 11 0 :0 1 2 3 4 5 6 7 10 0 :0 1 2 3 4 5 6 9 10 0 :0 1 3 4 5 6 7 8 10 0 :0 1 3 4 5 6 7 9 10 0 :0 2 3 4 5 6 7 9 10 0 :0 2 3 4 5 6 7 10 11 0 :0 3 4 5 6 7 8 9 10 0 :0 3 4 5 6 7 8 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 4 6 7 :0 1 2 3 4 5 6 8 9 10 11 0 1 3 5 6 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 :0 2 3 4 5 6 7 9 10 11 0 1 6 7 :0 2 3 4 5 6 8 9 10 11 0 1 6 7 8 10 :0 2 3 4 5 6 7 8 9 10 11 0 2 :0 1 2 3 4 5 6 8 10 0 2 :0 1 2 3 4 5 6 8 9 10 0 2 3 8 9 10 :0 1 2 3 4 5 6 7 8 9 10 0 2 4 :0 1 2 3 4 5 6 8 10 11 0 2 4 5 10 11 :0 1 2 3 4 5 6 7 8 10 11 0 2 10 :0 1 2 3 4 5 6 7 8 10 0 3 :0 1 2 3 4 5 6 7 9 10 0 5 6 7 9 11 :0 1 3 4 5 6 7 8 9 10 11 0 5 6 11 :0 1 3 4 5 6 7 9 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 5 11 :0 1 3 4 5 6 7 8 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 1 3 4 5 6 8 9 10 11 0 6 7 :0 3 4 5 6 7 8 9 10 11 0 8 10 :0 2 3 4 5 6 7 8 9 10 0 9 :0 1 3 4 5 6 7 8 9 10 0 10 :0 2 3 4 5 6 7 8 10 0 10 :0 2 3 4 5 6 7 8 10 11 1 :0 2 3 4 5 7 9 11 1 :0 2 3 4 5 6 7 9 11 1 :0 2 3 4 5 7 8 9 11 1 :0 2 3 4 5 7 9 10 11 1 2 3 5 7 8 :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 :0 1 2 3 4 5 7 9 11 1 3 :0 1 2 3 4 5 7 8 9 11 1 3 4 9 10 11 :0 1 2 3 4 5 6 7 8 9 11 1 3 5 :0 1 2 3 4 5 7 9 10 11 1 3 11 :0 1 2 3 4 5 6 7 9 11 1 4 :0 1 2 3 4 5 6 8 9 11 1 7 8 :0 2 3 4 5 7 8 9 10 11 1 10 :0 2 3 4 5 6 7 8 9 11 2 :0 1 2 3 4 8 10 2 :0 1 2 3 4 7 8 10 2 :0 1 2 3 4 8 10 11 2 :0 1 2 3 4 6 8 10 2 :0 1 2 3 4 5 7 8 10 2 :0 1 2 3 4 6 7 8 10 2 :0 1 2 3 4 7 8 10 11 2 3 4 6 8 9 :0 1 2 3 4 6 7 8 9 10 11 2 3 8 :0 1 2 3 4 7 8 9 10 2 3 8 :0 1 2 3 4 5 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 4 :0 1 2 3 4 6 8 10 11 2 4 :0 1 2 3 4 6 7 8 10 11 2 4 6 :0 1 2 3 4 6 8 9 10 11 2 5 :0 1 2 3 4 5 7 8 10 11 3 :0 1 2 3 7 9 3 :0 1 2 3 4 7 9 3 :0 1 2 3 5 7 9 3 :0 1 2 3 6 7 9 3 :0 1 2 3 7 8 9 3 :0 1 2 3 7 9 10 3 :0 1 2 3 7 9 11 3 :0 1 2 3 4 5 7 9 3 :0 1 2 3 4 6 7 9 3 :0 1 2 3 4 7 8 9 3 :0 1 2 3 4 7 9 10 3 :0 1 2 3 4 7 9 11 3 :0 1 2 3 5 6 7 9 3 :0 1 2 3 5 7 8 9 3 :0 1 2 3 5 7 9 10 3 :0 1 2 3 5 7 9 11 3 :0 1 2 3 6 7 9 10 3 :0 1 2 3 6 7 9 11 3 :0 1 2 3 7 8 9 10 3 :0 1 2 3 7 8 9 11 3 :0 1 2 3 7 9 10 11 3 :0 1 2 3 4 5 6 7 9 3 :0 1 2 3 4 5 7 8 9 3 :0 1 2 3 4 5 7 9 10 3 :0 1 2 3 4 6 7 9 10 3 :0 1 2 3 4 6 7 9 11 3 :0 1 2 3 4 7 8 9 11 3 :0 1 2 3 4 7 9 10 11 3 :0 1 2 3 5 6 7 9 10 3 :0 1 2 3 5 6 7 9 11 3 :0 1 2 3 5 7 8 9 10 3 :0 1 2 3 5 7 8 9 11 3 :0 1 2 3 6 7 9 10 11 3 :0 1 2 3 7 8 9 10 11 3 4 5 7 9 10 :0 1 2 3 5 6 7 8 9 10 11 3 4 9 :0 1 2 3 6 7 8 9 11 3 4 9 :0 1 2 3 4 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 5 :0 1 2 3 5 7 9 10 11 3 5 :0 1 2 3 5 6 7 9 10 11 3 5 7 :0 1 2 3 5 7 8 9 10 11 3 6 :0 1 2 3 4 6 7 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 9 10 :0 1 2 3 5 6 7 8 9 10 4 :0 1 2 6 7 8 11 4 :0 1 2 3 6 7 8 11 4 :0 1 2 4 6 7 8 11 4 :0 1 2 4 6 8 10 11 4 :0 1 2 6 7 8 10 11 4 :0 1 2 3 4 6 7 8 11 4 :0 1 2 3 5 6 8 9 11 4 :0 1 2 3 6 7 8 10 11 4 :0 1 2 4 6 7 8 9 11 4 :0 1 2 4 6 7 8 10 11 4 :0 1 2 6 7 8 9 10 11 4 5 6 8 10 11 :0 1 2 4 5 6 7 8 9 10 11 4 5 10 :0 1 2 3 5 6 7 8 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 :0 1 2 4 5 6 8 9 10 11 4 6 8 :0 1 2 4 6 7 8 9 10 11 4 7 :0 1 2 3 5 6 8 9 10 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 10 11 :0 1 2 4 5 6 7 8 9 11 5 :0 1 5 7 10 11 5 :0 1 2 5 7 10 11 5 :0 1 3 5 7 10 11 5 :0 1 4 5 7 10 11 5 :0 1 5 6 7 10 11 5 :0 1 5 7 8 10 11 5 :0 1 5 7 9 10 11 5 :0 1 2 3 5 7 10 11 5 :0 1 2 4 5 7 10 11 5 :0 1 3 4 5 7 10 11 5 :0 1 2 5 6 7 10 11 5 :0 1 2 5 7 8 10 11 5 :0 1 2 5 7 9 10 11 5 :0 1 3 5 6 7 10 11 5 :0 1 3 5 7 8 10 11 5 :0 1 3 5 7 9 10 11 5 :0 1 4 5 7 8 10 11 5 :0 1 4 5 7 9 10 11 5 :0 1 5 6 7 9 10 11 5 :0 1 5 7 8 9 10 11 5 :0 1 2 3 4 5 7 10 11 5 :0 1 2 3 5 6 7 10 11 5 :0 1 2 3 5 7 8 10 11 5 :0 1 2 4 5 7 8 10 11 5 :0 1 2 4 5 7 9 10 11 5 :0 1 3 4 5 7 8 10 11 5 :0 1 3 4 5 7 9 10 11 5 :0 1 2 5 7 8 9 10 11 5 :0 1 3 5 6 7 9 10 11 5 :0 1 4 5 7 8 9 10 11 5 6 11 :0 1 4 5 6 7 9 10 11 5 6 11 :0 1 2 4 5 6 7 9 10 11 5 6 11 :0 1 4 5 6 7 8 9 10 11 5 7 :0 1 3 5 7 8 9 10 11 5 7 :0 1 3 4 5 7 8 9 10 11 5 7 9 :0 1 3 5 6 7 8 9 10 11 5 8 :0 1 2 4 5 7 8 9 10 11 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 4 6 9 10 11 6 :0 3 4 6 9 10 11 6 :0 4 5 6 9 10 11 6 :0 4 6 7 9 10 11 6 :0 1 3 4 6 9 10 11 6 :0 2 3 4 6 9 10 11 6 :0 1 4 6 7 9 10 11 6 :0 2 4 5 6 9 10 11 6 :0 2 4 6 7 9 10 11 6 :0 3 4 6 7 9 10 11 6 :0 4 5 6 7 9 10 11 6 :0 4 6 7 8 9 10 11 6 :0 1 2 4 6 7 9 10 11 6 :0 1 3 4 6 7 9 10 11 6 :0 2 3 4 6 7 9 10 11 6 :0 2 4 5 6 7 9 10 11 6 :0 1 4 6 7 8 9 10 11 6 :0 3 4 6 7 8 9 10 11 6 :0 4 5 6 7 8 9 10 11 6 8 :0 2 4 6 7 8 9 10 11 6 8 :0 2 3 4 6 7 8 9 10 11 6 8 10 :0 2 4 5 6 7 8 9 10 11 6 9 :0 1 3 4 6 7 8 9 10 11 7 :0 2 3 5 8 9 10 11 7 :0 3 5 7 8 9 10 11 7 :0 2 3 5 6 8 9 10 11 7 :0 2 3 5 7 8 9 10 11 7 :0 3 4 5 7 8 9 10 11 7 :0 3 5 6 7 8 9 10 11 7 10 :0 2 3 5 6 7 8 9 10 11 8 :0 2 4 7 8 9 10 8 :0 1 2 4 7 8 9 10 8 :0 2 3 4 7 8 9 10 8 :0 2 4 5 7 8 9 10 8 :0 2 4 6 7 8 9 10 8 :0 2 4 7 8 9 10 11 8 :0 1 2 4 5 7 8 9 10 8 :0 1 2 4 6 7 8 9 10 8 :0 2 3 4 5 7 8 9 10 8 :0 2 3 4 6 7 8 9 10 8 :0 2 3 4 7 8 9 10 11 8 :0 1 2 4 7 8 9 10 11 8 :0 2 4 5 7 8 9 10 11 8 10 :0 2 4 5 6 7 8 9 10 8 10 :0 1 2 4 5 6 7 8 9 10 9 :0 1 3 6 7 8 9 9 :0 1 3 4 6 7 8 9 9 :0 1 3 5 6 7 8 9 9 :0 1 3 6 7 8 9 10 9 :0 1 3 6 7 8 9 11 9 :0 1 3 4 6 7 8 9 10 9 :0 1 3 4 6 7 8 9 11 9 :0 1 3 5 6 7 8 9 10 9 :0 1 3 5 6 7 8 9 11 9 :0 1 3 6 7 8 9 10 11 9 11 :0 1 3 4 5 6 7 8 9 11 10 :0 2 3 5 6 7 8 10 :0 2 4 5 6 7 8 10 :0 1 2 4 5 6 7 8 10 :0 1 2 5 6 7 8 9 10 :0 1 2 5 6 7 8 10 10 :0 2 3 4 5 6 7 8 10 :0 2 3 5 6 7 8 9 10 :0 2 3 5 6 7 8 10 10 :0 2 3 5 6 7 8 11 10 :0 2 4 5 6 7 8 10 10 :0 2 4 5 6 7 8 11 10 :0 2 5 6 7 8 9 10 10 :0 2 5 6 7 8 10 11 10 :0 1 2 3 4 5 6 7 8 10 :0 1 2 4 5 6 7 8 9 10 :0 2 3 4 5 6 7 8 9 10 :0 1 2 3 5 6 7 8 10 10 :0 1 2 4 5 6 7 8 10 10 :0 2 3 4 5 6 7 8 11 10

order	origin	root set	chord type (as pcset)
1	0	0	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

1	3	3	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

1	5	5	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

1	6	6	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

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