Chord Type: 0 1 7 8 9 10 11

0 1 7 8 9 10 11

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This Chord Type Chord Diagrams in 4ths Tuning
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Chord Type: 0 1 7 8 9 10 11

Modal System Fun Facts 0 1 2 3 4 5 6 Inversionally Symmetrical Melodic adjacency = 1 (maximum). Harmonic adjacency = 0 (minimum). General Statistics Cardinality: 7 Jordan Number: 7-1 Forte Number: 7-1 Forte Prime Form: [0,1,2,3,4,5,6] Zeitler Scale Name: Ian Ring's Scale Page 3971 Root Reference: 0 1 7 8 9 10 11 Tone Stacking: 0 1 6 1 1 1 1 Interval Stacking: 1 6 1 1 1 1 1 Binary: 1 1 0 0 0 0 0 1 1 1 1 1 Decimal Value: 3971 Interval Vector: 6 5 4 3 2 1 Inversional Symmetry: yes (axes of symmetry: 4 10) Transpositional Symmetry: no Melodic Adjacency (0-1): 1.000 Harmonic Adjacency (0-1): 0.000 Modal-system-invariant under multiplication by: 1 11 Modal System Balanced: no Diachromatic Family: Scale Degrees: 1256677 ->0 1 7 8 9 10 11 0 2 7 8 9 10 11 All Transpositions of Chord Type: +0= 0 1 7 8 9 10 11 | +1= 0 1 2 8 9 10 11 | +2= 0 1 2 3 9 10 11 | +3= 0 1 2 3 4 10 11 | +4= 0 1 2 3 4 5 11 | +5= 0 1 2 3 4 5 6 |1st 7 notes of chromatic scale +6= 1 2 3 4 5 6 7 | +7= 2 3 4 5 6 7 8 | +8= 3 4 5 6 7 8 9 | +9= 4 5 6 7 8 9 10 | +10= 5 6 7 8 9 10 11 | +11= 0 6 7 8 9 10 11 | Modes of Chord Type: (mode 0) 0: 0 1 7 8 9 10 11 | (mode 1) 1: 0 6 7 8 9 10 11 | (mode 2) 7: 0 1 2 3 4 5 6 | 1st 7 notes of chromatic scale (mode 3) 8: 0 1 2 3 4 5 11 | (mode 4) 9: 0 1 2 3 4 10 11 | (mode 5) 10: 0 1 2 3 9 10 11 | (mode 6) 11: 0 1 2 8 9 10 11 | Modes of Chord Type Sorted by Rootedness: 1.400(mode 4)9:0 1 2 3 4 10 11 | 1.075(mode 0)0:0 1 7 8 9 10 11 | 1.000(mode 5)10:0 1 2 3 9 10 11 | .875(mode 1)1:0 6 7 8 9 10 11 | .858(mode 3)8:0 1 2 3 4 5 11 | .558(mode 2)7:0 1 2 3 4 5 6 |1st 7 notes of chromatic scale .533(mode 6)11:0 1 2 8 9 10 11 | Inversion at 0: 0 1 2 3 4 5 11 (mode 0) 0: 0 1 2 3 4 5 11 | (mode 1) 1: 0 1 2 3 4 10 11 | (mode 2) 2: 0 1 2 3 9 10 11 | (mode 3) 3: 0 1 2 8 9 10 11 | (mode 4) 4: 0 1 7 8 9 10 11 | (mode 5) 5: 0 6 7 8 9 10 11 | (mode 6) 11: 0 1 2 3 4 5 6 | 1st 7 notes of chromatic scale Times 7: 0 1 3 5 7 8 10 (mode 0) 0: 0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that (mode 1) 1: 0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that (mode 2) 3: 0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that (mode 3) 5: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that (mode 4) 7: 0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack (mode 5) 8: 0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that (mode 6) 10: 0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) Times 5: 0 2 4 5 7 9 11 (mode 0) 0: 0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that (mode 1) 2: 0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) (mode 2) 4: 0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that (mode 3) 5: 0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that (mode 4) 7: 0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that (mode 5) 9: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that (mode 6) 11: 0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack Modal System: 0 1 2 3 4 5 6 from root(s) 7 | "closed heptachord modal system" Modes of Modal System: (mode 0) 0: 0 1 2 3 4 5 6 | 1st 7 notes of chromatic scale (mode 1) 1: 0 1 2 3 4 5 11 | (mode 2) 2: 0 1 2 3 4 10 11 | (mode 3) 3: 0 1 2 3 9 10 11 | (mode 4) 4: 0 1 2 8 9 10 11 | (mode 5) 5: 0 1 7 8 9 10 11 | (mode 6) 6: 0 6 7 8 9 10 11 | Complement: 2 3 4 5 6 (mode 0) 2: 0 1 2 3 4 | 1st 5 notes of chromatic scale (mode 1) 3: 0 1 2 3 11 | (mode 2) 4: 0 1 2 10 11 | (mode 3) 5: 0 1 9 10 11 | (mode 4) 6: 0 8 9 10 11 | All but the root (subchroma complement of 0): 1 7 8 9 10 11 (mode 0) 1: 0 6 7 8 9 10 | (mode 1) 7: 0 1 2 3 4 6 | (mode 2) 8: 0 1 2 3 5 11 | (mode 3) 9: 0 1 2 4 10 11 | (mode 4) 10: 0 1 3 9 10 11 | (mode 5) 11: 0 2 8 9 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 7 (mode 0) 1: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th (mode 1) 7: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th Dechromaticised but Keep 0 0 1 7 (mode 0) 0: 0 1 7 | (mode 1) 1: 0 6 11 | (mode 2) 7: 0 5 6 | Dechromaticised but Keep 0 7 0 1 7 (mode 0) 0: 0 1 7 | (mode 1) 1: 0 6 11 | (mode 2) 7: 0 5 6 | Dechromaticised but Keep 0 3 4 7 0 1 7 (mode 0) 0: 0 1 7 | (mode 1) 1: 0 6 11 | (mode 2) 7: 0 5 6 | Alt-Dechromaticised: N/A Alt-Dechromaticised but Keep 0 N/A Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 N/A 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: (mode 0) 0: 0 1 4 7 8 9 10 11 | (mode 1) 1: 0 3 6 7 8 9 10 11 | (mode 2) 4: 0 3 4 5 6 7 8 9 | (mode 3) 7: 0 1 2 3 4 5 6 9 | (mode 4) 8: 0 1 2 3 4 5 8 11 | (mode 5) 9: 0 1 2 3 4 7 10 11 | (mode 6) 10: 0 1 2 3 6 9 10 11 | (mode 7) 11: 0 1 2 5 8 9 10 11 | alt-chromaticized keep 0: (mode 0) 0: 0 1 2 7 8 9 10 11 | (mode 1) 1: 0 1 6 7 8 9 10 11 | (mode 2) 2: 0 5 6 7 8 9 10 11 | (mode 3) 7: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 4) 8: 0 1 2 3 4 5 6 11 | (mode 5) 9: 0 1 2 3 4 5 10 11 | (mode 6) 10: 0 1 2 3 4 9 10 11 | (mode 7) 11: 0 1 2 3 8 9 10 11 | (mode 0) 0: 0 1 3 7 8 9 10 11 | (mode 1) 1: 0 2 6 7 8 9 10 11 | (mode 2) 3: 0 4 5 6 7 8 9 10 | (mode 3) 7: 0 1 2 3 4 5 6 8 | (mode 4) 8: 0 1 2 3 4 5 7 11 | (mode 5) 9: 0 1 2 3 4 6 10 11 | (mode 6) 10: 0 1 2 3 5 9 10 11 | (mode 7) 11: 0 1 2 4 8 9 10 11 | (mode 0) 0: 0 1 4 7 8 9 10 11 | (mode 1) 1: 0 3 6 7 8 9 10 11 | (mode 2) 4: 0 3 4 5 6 7 8 9 | (mode 3) 7: 0 1 2 3 4 5 6 9 | (mode 4) 8: 0 1 2 3 4 5 8 11 | (mode 5) 9: 0 1 2 3 4 7 10 11 | (mode 6) 10: 0 1 2 3 6 9 10 11 | (mode 7) 11: 0 1 2 5 8 9 10 11 | (mode 0) 0: 0 1 5 7 8 9 10 11 | (mode 1) 1: 0 4 6 7 8 9 10 11 | (mode 2) 5: 0 2 3 4 5 6 7 8 | (mode 3) 7: 0 1 2 3 4 5 6 10 | (mode 4) 8: 0 1 2 3 4 5 9 11 | (mode 5) 9: 0 1 2 3 4 8 10 11 | (mode 6) 10: 0 1 2 3 7 9 10 11 | (mode 7) 11: 0 1 2 6 8 9 10 11 | (mode 0) 0: 0 1 3 4 7 8 9 10 11 | (mode 1) 1: 0 2 3 6 7 8 9 10 11 | (mode 2) 3: 0 1 4 5 6 7 8 9 10 | (mode 3) 4: 0 3 4 5 6 7 8 9 11 | (mode 4) 7: 0 1 2 3 4 5 6 8 9 | (mode 5) 8: 0 1 2 3 4 5 7 8 11 | (mode 6) 9: 0 1 2 3 4 6 7 10 11 | (mode 7) 10: 0 1 2 3 5 6 9 10 11 | (mode 8) 11: 0 1 2 4 5 8 9 10 11 | (mode 0) 0: 0 1 4 5 7 8 9 10 11 | (mode 1) 1: 0 3 4 6 7 8 9 10 11 | (mode 2) 4: 0 1 3 4 5 6 7 8 9 | (mode 3) 5: 0 2 3 4 5 6 7 8 11 | (mode 4) 7: 0 1 2 3 4 5 6 9 10 | (mode 5) 8: 0 1 2 3 4 5 8 9 11 | (mode 6) 9: 0 1 2 3 4 7 8 10 11 | (mode 7) 10: 0 1 2 3 6 7 9 10 11 | (mode 8) 11: 0 1 2 5 6 8 9 10 11 | alt-chromaticized keep 0 7: (mode 0) 0: 0 1 2 7 8 9 10 11 | (mode 1) 1: 0 1 6 7 8 9 10 11 | (mode 2) 2: 0 5 6 7 8 9 10 11 | (mode 3) 7: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 4) 8: 0 1 2 3 4 5 6 11 | (mode 5) 9: 0 1 2 3 4 5 10 11 | (mode 6) 10: 0 1 2 3 4 9 10 11 | (mode 7) 11: 0 1 2 3 8 9 10 11 | (mode 0) 0: 0 1 4 7 8 9 10 11 | (mode 1) 1: 0 3 6 7 8 9 10 11 | (mode 2) 4: 0 3 4 5 6 7 8 9 | (mode 3) 7: 0 1 2 3 4 5 6 9 | (mode 4) 8: 0 1 2 3 4 5 8 11 | (mode 5) 9: 0 1 2 3 4 7 10 11 | (mode 6) 10: 0 1 2 3 6 9 10 11 | (mode 7) 11: 0 1 2 5 8 9 10 11 | (mode 0) 0: 0 1 5 7 8 9 10 11 | (mode 1) 1: 0 4 6 7 8 9 10 11 | (mode 2) 5: 0 2 3 4 5 6 7 8 | (mode 3) 7: 0 1 2 3 4 5 6 10 | (mode 4) 8: 0 1 2 3 4 5 9 11 | (mode 5) 9: 0 1 2 3 4 8 10 11 | (mode 6) 10: 0 1 2 3 7 9 10 11 | (mode 7) 11: 0 1 2 6 8 9 10 11 | (mode 0) 0: 0 1 3 7 8 9 10 11 | (mode 1) 1: 0 2 6 7 8 9 10 11 | (mode 2) 3: 0 4 5 6 7 8 9 10 | (mode 3) 7: 0 1 2 3 4 5 6 8 | (mode 4) 8: 0 1 2 3 4 5 7 11 | (mode 5) 9: 0 1 2 3 4 6 10 11 | (mode 6) 10: 0 1 2 3 5 9 10 11 | (mode 7) 11: 0 1 2 4 8 9 10 11 | (mode 0) 0: 0 1 2 5 7 8 9 10 11 | mela 1 Kanakangi (mode 1) 1: 0 1 4 6 7 8 9 10 11 | (mode 2) 2: 0 3 5 6 7 8 9 10 11 | (mode 3) 5: 0 2 3 4 5 6 7 8 9 | (mode 4) 7: 0 1 2 3 4 5 6 7 10 | (mode 5) 8: 0 1 2 3 4 5 6 9 11 | (mode 6) 9: 0 1 2 3 4 5 8 10 11 | (mode 7) 10: 0 1 2 3 4 7 9 10 11 | (mode 8) 11: 0 1 2 3 6 8 9 10 11 | (mode 0) 0: 0 1 4 5 7 8 9 10 11 | (mode 1) 1: 0 3 4 6 7 8 9 10 11 | (mode 2) 4: 0 1 3 4 5 6 7 8 9 | (mode 3) 5: 0 2 3 4 5 6 7 8 11 | (mode 4) 7: 0 1 2 3 4 5 6 9 10 | (mode 5) 8: 0 1 2 3 4 5 8 9 11 | (mode 6) 9: 0 1 2 3 4 7 8 10 11 | (mode 7) 10: 0 1 2 3 6 7 9 10 11 | (mode 8) 11: 0 1 2 5 6 8 9 10 11 | (mode 0) 0: 0 1 3 4 7 8 9 10 11 | (mode 1) 1: 0 2 3 6 7 8 9 10 11 | (mode 2) 3: 0 1 4 5 6 7 8 9 10 | (mode 3) 4: 0 3 4 5 6 7 8 9 11 | (mode 4) 7: 0 1 2 3 4 5 6 8 9 | (mode 5) 8: 0 1 2 3 4 5 7 8 11 | (mode 6) 9: 0 1 2 3 4 6 7 10 11 | (mode 7) 10: 0 1 2 3 5 6 9 10 11 | (mode 8) 11: 0 1 2 4 5 8 9 10 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 5 7 8 9 10 11 | (mode 1) 1: 0 4 6 7 8 9 10 11 | (mode 2) 5: 0 2 3 4 5 6 7 8 | (mode 3) 7: 0 1 2 3 4 5 6 10 | (mode 4) 8: 0 1 2 3 4 5 9 11 | (mode 5) 9: 0 1 2 3 4 8 10 11 | (mode 6) 10: 0 1 2 3 7 9 10 11 | (mode 7) 11: 0 1 2 6 8 9 10 11 | (mode 0) 0: 0 1 6 7 8 9 10 11 | (mode 1) 1: 0 5 6 7 8 9 10 11 | (mode 2) 6: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 3) 7: 0 1 2 3 4 5 6 11 | (mode 4) 8: 0 1 2 3 4 5 10 11 | (mode 5) 9: 0 1 2 3 4 9 10 11 | (mode 6) 10: 0 1 2 3 8 9 10 11 | (mode 7) 11: 0 1 2 7 8 9 10 11 | (mode 0) 0: 0 1 2 7 8 9 10 11 | (mode 1) 1: 0 1 6 7 8 9 10 11 | (mode 2) 2: 0 5 6 7 8 9 10 11 | (mode 3) 7: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 4) 8: 0 1 2 3 4 5 6 11 | (mode 5) 9: 0 1 2 3 4 5 10 11 | (mode 6) 10: 0 1 2 3 4 9 10 11 | (mode 7) 11: 0 1 2 3 8 9 10 11 | (mode 0) 0: 0 1 3 7 8 9 10 11 | (mode 1) 1: 0 2 6 7 8 9 10 11 | (mode 2) 3: 0 4 5 6 7 8 9 10 | (mode 3) 7: 0 1 2 3 4 5 6 8 | (mode 4) 8: 0 1 2 3 4 5 7 11 | (mode 5) 9: 0 1 2 3 4 6 10 11 | (mode 6) 10: 0 1 2 3 5 9 10 11 | (mode 7) 11: 0 1 2 4 8 9 10 11 | (mode 0) 0: 0 1 2 5 7 8 9 10 11 | mela 1 Kanakangi (mode 1) 1: 0 1 4 6 7 8 9 10 11 | (mode 2) 2: 0 3 5 6 7 8 9 10 11 | (mode 3) 5: 0 2 3 4 5 6 7 8 9 | (mode 4) 7: 0 1 2 3 4 5 6 7 10 | (mode 5) 8: 0 1 2 3 4 5 6 9 11 | (mode 6) 9: 0 1 2 3 4 5 8 10 11 | (mode 7) 10: 0 1 2 3 4 7 9 10 11 | (mode 8) 11: 0 1 2 3 6 8 9 10 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 7 8 9 10 11 = 0: 0 1 7 8 9 10 11 = 1: 0 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 = 8: 0 1 2 3 4 5 11 = 9: 0 1 2 3 4 10 11 = 10: 0 1 2 3 9 10 11 = 11: 0 1 2 8 9 10 11 1 1 1 0 6 7 8 9 10 11 = 0: 0 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 = 7: 0 1 2 3 4 5 11 = 8: 0 1 2 3 4 10 11 = 9: 0 1 2 3 9 10 11 = 10: 0 1 2 8 9 10 11 = 11: 0 1 7 8 9 10 11 1 7 7 0 1 2 3 4 5 6 = 0: 0 1 2 3 4 5 6 = 1: 0 1 2 3 4 5 11 = 2: 0 1 2 3 4 10 11 = 3: 0 1 2 3 9 10 11 = 4: 0 1 2 8 9 10 11 = 5: 0 1 7 8 9 10 11 = 6: 0 6 7 8 9 10 11 1 9 9 0 1 2 3 4 10 11 = 0: 0 1 2 3 4 10 11 = 1: 0 1 2 3 9 10 11 = 2: 0 1 2 8 9 10 11 = 3: 0 1 7 8 9 10 11 = 4: 0 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 = 11: 0 1 2 3 4 5 11 Bright Layer Composition order pcset 1 0 1 7 8 9 10 11 = 0: 0 1 7 8 9 10 11 = 1: 0 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 = 8: 0 1 2 3 4 5 11 = 9: 0 1 2 3 4 10 11 = 10: 0 1 2 3 9 10 11 = 11: 0 1 2 8 9 10 11 2 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 1 7 8 9 10 11 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 7 = 7 = 7: 0 8 = 8 = 8: 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 7 = 1 7 = 1 7: 0 6 7 8 = 7 8 = 7: 0 1 8: 0 11 8 9 = 8 9 = 8: 0 1 9: 0 11 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 7 = 0 7 = 7: 0 5 0: 0 7 1 8 = 1 8 = 8: 0 5 1: 0 7 7 9 = 7 9 = 7: 0 2 9: 0 10 8 10 = 8 10 = 8: 0 2 10: 0 10 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 8 = 0 8 = 8: 0 4 0: 0 8 1 9 = 1 9 = 9: 0 4 1: 0 8 7 10 = 7 10 = 7: 0 3 10: 0 9 8 11 = 8 11 = 8: 0 3 11: 0 9 9 0 = 0 9 = 9: 0 3 0: 0 9 10 1 = 1 10 = 10: 0 3 1: 0 9 11 7 = 7 11 = 7: 0 4 11: 0 8 subchroma modal system: 0 1 2 0 1 7 = 0 1 7 = 0: 0 1 7 1 7 8 = 1 7 8 = 1: 0 6 7 7 8 9 = 7 8 9 = 7: 0 1 2 8: 0 1 11 9: 0 10 11 8 9 10 = 8 9 10 = 8: 0 1 2 9: 0 1 11 10: 0 10 11 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 8 = 0 1 8 = 8: 0 4 5 1: 0 7 11 1 7 9 = 1 7 9 = 9: 0 4 10 7 8 10 = 7 8 10 = 7: 0 1 3 8: 0 2 11 8 9 11 = 8 9 11 = 8: 0 1 3 9: 0 2 11 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 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 1 4 0 1 9 = 0 1 9 = 9: 0 3 4 1 7 10 = 1 7 10 = 7: 0 3 6 10: 0 3 9 7 8 11 = 7 8 11 = 7: 0 1 4 8: 0 3 11 8 9 0 = 0 8 9 = 8: 0 1 4 9: 0 3 11 9 10 1 = 1 9 10 = 9: 0 1 4 10: 0 3 11 10 11 7 = 7 10 11 = 7: 0 3 4 11 0 8 = 0 8 11 = 8: 0 3 4 subchroma modal system: 0 1 5 0 1 10 = 0 1 10 = 10: 0 2 3 1 7 11 = 1 7 11 = 7: 0 4 6 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 9 1 = 1 8 9 = 9: 0 4 11 1: 0 7 8 9 10 7 = 7 9 10 = 7: 0 2 3 10 11 8 = 8 10 11 = 8: 0 2 3 11 0 9 = 0 9 11 = 9: 0 2 3 subchroma modal system: 0 2 4 0 7 9 = 0 7 9 = 9: 0 3 10 0: 0 7 9 1 8 10 = 1 8 10 = 10: 0 3 10 1: 0 7 9 7 9 11 = 7 9 11 = 7: 0 2 4 8 10 0 = 0 8 10 = 8: 0 2 4 9 11 1 = 1 9 11 = 9: 0 2 4 10 0 7 = 0 7 10 = 7: 0 3 5 0: 0 7 10 11 1 8 = 1 8 11 = 8: 0 3 5 1: 0 7 10 subchroma modal system: 0 1 2 3 0 1 7 8 = 0 1 7 8 = 0: 0 1 7 8 8: 0 4 5 11 1: 0 6 7 11 1 7 8 9 = 1 7 8 9 = 9: 0 4 10 11 1: 0 6 7 8 7 8 9 10 = 7 8 9 10 = 7: 0 1 2 3 9: 0 1 10 11 10: 0 9 10 11 8 9 10 11 = 8 9 10 11 = 8: 0 1 2 3 10: 0 1 10 11 11: 0 9 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 7 = 0 1 7 11 = 0: 0 1 7 11 7: 0 4 5 6 subchroma modal system: 0 1 2 4 0 1 7 9 = 0 1 7 9 = 9: 0 3 4 10 0: 0 1 7 9 1 7 8 10 = 1 7 8 10 = 7: 0 1 3 6 10: 0 3 9 10 1: 0 6 7 9 7 8 9 11 = 7 8 9 11 = 7: 0 1 2 4 8: 0 1 3 11 9: 0 2 10 11 8 9 10 0 = 0 8 9 10 = 8: 0 1 2 4 9: 0 1 3 11 10: 0 2 10 11 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 7 = 0 7 10 11 = 7: 0 3 4 5 0: 0 7 10 11 11 0 1 8 = 0 1 8 11 = 8: 0 3 4 5 1: 0 7 10 11 subchroma modal system: 0 1 2 5 0 1 7 10 = 0 1 7 10 = 0: 0 1 7 10 7: 0 3 5 6 1 7 8 11 = 1 7 8 11 = 8: 0 3 5 11 1: 0 6 7 10 7 8 9 0 = 0 7 8 9 = 8: 0 1 4 11 9: 0 3 10 11 0: 0 7 8 9 8 9 10 1 = 1 8 9 10 = 9: 0 1 4 11 10: 0 3 10 11 1: 0 7 8 9 9 10 11 7 = 7 9 10 11 = 7: 0 2 3 4 10 11 0 8 = 0 8 10 11 = 8: 0 2 3 4 11 0 1 9 = 0 1 9 11 = 9: 0 2 3 4 subchroma modal system: 0 1 3 4 0 1 8 9 = 0 1 8 9 = 8: 0 1 4 5 9: 0 3 4 11 1: 0 7 8 11 1 7 9 10 = 1 7 9 10 = 7: 0 2 3 6 9: 0 1 4 10 10: 0 3 9 11 7 8 10 11 = 7 8 10 11 = 7: 0 1 3 4 8: 0 2 3 11 8 9 11 0 = 0 8 9 11 = 8: 0 1 3 4 9: 0 2 3 11 9 10 0 1 = 0 1 9 10 = 9: 0 1 3 4 10: 0 2 3 11 10 11 1 7 = 1 7 10 11 = 7: 0 3 4 6 11 0 7 8 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 subchroma modal system: 0 1 3 5 0 1 8 10 = 0 1 8 10 = 8: 0 2 4 5 10: 0 2 3 10 1: 0 7 9 11 1 7 9 11 = 1 7 9 11 = 7: 0 2 4 6 9: 0 2 4 10 7 8 10 0 = 0 7 8 10 = 7: 0 1 3 5 8: 0 2 4 11 10: 0 2 9 10 0: 0 7 8 10 8 9 11 1 = 1 8 9 11 = 8: 0 1 3 5 9: 0 2 4 11 11: 0 2 9 10 1: 0 7 8 10 9 10 0 7 = 0 7 9 10 = 7: 0 2 3 5 9: 0 1 3 10 10: 0 2 9 11 0: 0 7 9 10 10 11 1 8 = 1 8 10 11 = 8: 0 2 3 5 10: 0 1 3 10 11: 0 2 9 11 1: 0 7 9 10 11 0 7 9 = 0 7 9 11 = 7: 0 2 4 5 9: 0 2 3 10 0: 0 7 9 11 subchroma modal system: 0 1 2 3 4 0 1 7 8 9 = 0 1 7 8 9 = 8: 0 1 4 5 11 9: 0 3 4 10 11 0: 0 1 7 8 9 1: 0 6 7 8 11 1 7 8 9 10 = 1 7 8 9 10 = 7: 0 1 2 3 6 9: 0 1 4 10 11 10: 0 3 9 10 11 1: 0 6 7 8 9 7 8 9 10 11 = 7 8 9 10 11 = 7: 0 1 2 3 4 8: 0 1 2 3 11 11: 0 8 9 10 11 8 9 10 11 0 = 0 8 9 10 11 = 8: 0 1 2 3 4 9: 0 1 2 3 11 0: 0 8 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 7 = 0 1 7 10 11 = 7: 0 3 4 5 6 0: 0 1 7 10 11 11 0 1 7 8 = 0 1 7 8 11 = 8: 0 3 4 5 11 0: 0 1 7 8 11 1: 0 6 7 10 11 subchroma modal system: 0 1 2 3 5 0 1 7 8 10 = 0 1 7 8 10 = 7: 0 1 3 5 6 10: 0 2 3 9 10 0: 0 1 7 8 10 1: 0 6 7 9 11 1 7 8 9 11 = 1 7 8 9 11 = 7: 0 1 2 4 6 9: 0 2 4 10 11 1: 0 6 7 8 10 7 8 9 10 0 = 0 7 8 9 10 = 7: 0 1 2 3 5 8: 0 1 2 4 11 9: 0 1 3 10 11 10: 0 2 9 10 11 0: 0 7 8 9 10 8 9 10 11 1 = 1 8 9 10 11 = 8: 0 1 2 3 5 9: 0 1 2 4 11 10: 0 1 3 10 11 11: 0 2 9 10 11 1: 0 7 8 9 10 9 10 11 0 7 = 0 7 9 10 11 = 9: 0 1 2 3 10 0: 0 7 9 10 11 10 11 0 1 8 = 0 1 8 10 11 = 10: 0 1 2 3 10 1: 0 7 9 10 11 11 0 1 7 9 = 0 1 7 9 11 = 9: 0 2 3 4 10 7: 0 2 4 5 6 0: 0 1 7 9 11 subchroma modal system: 0 1 2 4 5 0 1 7 9 10 = 0 1 7 9 10 = 9: 0 1 3 4 10 7: 0 2 3 5 6 10: 0 2 3 9 11 0: 0 1 7 9 10 1 7 8 10 11 = 1 7 8 10 11 = 7: 0 1 3 4 6 10: 0 1 3 9 10 1: 0 6 7 9 10 7 8 9 11 0 = 0 7 8 9 11 = 7: 0 1 2 4 5 8: 0 1 3 4 11 9: 0 2 3 10 11 0: 0 7 8 9 11 8 9 10 0 1 = 0 1 8 9 10 = 8: 0 1 2 4 5 9: 0 1 3 4 11 10: 0 2 3 10 11 1: 0 7 8 9 11 9 10 11 1 7 = 1 7 9 10 11 = 7: 0 2 3 4 6 9: 0 1 2 4 10 10: 0 1 3 9 11 10 11 0 7 8 = 0 7 8 10 11 = 7: 0 1 3 4 5 8: 0 2 3 4 11 10: 0 1 2 9 10 0: 0 7 8 10 11 11 0 1 8 9 = 0 1 8 9 11 = 8: 0 1 3 4 5 9: 0 2 3 4 11 11: 0 1 2 9 10 1: 0 7 8 10 11 subchroma modal system: 0 1 2 3 4 5 0 1 7 8 9 10 = 0 1 7 8 9 10 = 7: 0 1 2 3 5 6 8: 0 1 2 4 5 11 9: 0 1 3 4 10 11 10: 0 2 3 9 10 11 0: 0 1 7 8 9 10 1: 0 6 7 8 9 11 1 7 8 9 10 11 = 1 7 8 9 10 11 = 7: 0 1 2 3 4 6 8: 0 1 2 3 5 11 9: 0 1 2 4 10 11 10: 0 1 3 9 10 11 1: 0 6 7 8 9 10 7 8 9 10 11 0 = 0 7 8 9 10 11 = 7: 0 1 2 3 4 5 8: 0 1 2 3 4 11 9: 0 1 2 3 10 11 0: 0 7 8 9 10 11 8 9 10 11 0 1 = 0 1 8 9 10 11 = 8: 0 1 2 3 4 5 9: 0 1 2 3 4 11 10: 0 1 2 3 10 11 1: 0 7 8 9 10 11 9 10 11 0 1 7 = 0 1 7 9 10 11 = 9: 0 1 2 3 4 10 10: 0 1 2 3 9 11 0: 0 1 7 9 10 11 10 11 0 1 7 8 = 0 1 7 8 10 11 = 8: 0 2 3 4 5 11 10: 0 1 2 3 9 10 0: 0 1 7 8 10 11 1: 0 6 7 9 10 11 11 0 1 7 8 9 = 0 1 7 8 9 11 = 7: 0 1 2 4 5 6 9: 0 2 3 4 10 11 0: 0 1 7 8 9 11 1: 0 6 7 8 10 11 subchroma modal system: 0 1 2 3 4 5 6 0 1 7 8 9 10 11 = 0 1 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 9: 0 1 2 3 4 10 11 0: 0 1 7 8 9 10 11 1: 0 6 7 8 9 10 11 1 7 8 9 10 11 0 = 0 1 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 9: 0 1 2 3 4 10 11 0: 0 1 7 8 9 10 11 1: 0 6 7 8 9 10 11 7 8 9 10 11 0 1 = 0 1 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 9: 0 1 2 3 4 10 11 0: 0 1 7 8 9 10 11 1: 0 6 7 8 9 10 11 8 9 10 11 0 1 7 = 0 1 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 9: 0 1 2 3 4 10 11 0: 0 1 7 8 9 10 11 1: 0 6 7 8 9 10 11 9 10 11 0 1 7 8 = 0 1 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 9: 0 1 2 3 4 10 11 0: 0 1 7 8 9 10 11 1: 0 6 7 8 9 10 11 10 11 0 1 7 8 9 = 0 1 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 9: 0 1 2 3 4 10 11 0: 0 1 7 8 9 10 11 1: 0 6 7 8 9 10 11 11 0 1 7 8 9 10 = 0 1 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 9: 0 1 2 3 4 10 11 0: 0 1 7 8 9 10 11 1: 0 6 7 8 9 10 11 Subset Chord Types by Root Set 0 :0 1 7 0 :0 1 7 8 0 :0 1 7 9 0 :0 1 7 10 0 :0 1 7 11 0 :0 1 7 8 9 0 :0 1 7 8 10 0 :0 1 7 8 11 0 :0 1 7 9 10 0 :0 1 7 9 11 0 :0 1 7 10 11 0 :0 1 7 8 9 10 0 :0 1 7 8 9 11 0 :0 1 7 8 10 11 0 :0 1 7 9 10 11 0 :0 1 7 8 9 10 11 0 1 :0 7 0 1 :0 7 8 0 1 :0 7 9 0 1 :0 7 10 0 1 :0 7 11 0 1 :0 7 8 9 0 1 :0 7 8 10 0 1 :0 7 8 11 0 1 :0 7 9 10 0 1 :0 7 9 11 0 1 :0 7 10 11 0 1 :0 7 8 9 10 0 1 :0 7 8 9 11 0 1 :0 7 8 10 11 0 1 :0 7 9 10 11 0 1 :0 7 8 9 10 11 0 1 7 8 9 10 11 :0 0 1 8 9 10 11:0 11 0 1 9 10 11 :0 10 0 1 9 10 11 :0 10 11 0 1 10 11 :0 9 0 1 10 11 :0 9 10 11 0 1 11 :0 8 0 1 11 :0 8 9 10 11 0 7 8 9 10 11:0 1 0 8 9 10 11 :0 1 11 0 9 10 11 :0 1 10 11 1 :0 6 7 1 :0 6 7 8 1 :0 6 7 9 1 :0 6 7 10 1 :0 6 7 11 1 :0 6 7 8 9 1 :0 6 7 8 10 1 :0 6 7 8 11 1 :0 6 7 9 10 1 :0 6 7 9 11 1 :0 6 7 10 11 1 :0 6 7 8 9 10 1 :0 6 7 8 9 11 1 :0 6 7 8 10 11 1 :0 6 7 9 10 11 1 :0 6 7 8 9 10 11 1 7 :0 6 7 :0 3 6 7 :0 4 6 7 :0 2 4 6 7 :0 1 3 6 7 :0 2 3 6 7 :0 3 4 6 7 :0 3 5 6 7 :0 4 5 6 7 :0 1 2 3 6 7 :0 1 2 4 6 7 :0 1 3 4 6 7 :0 2 3 4 6 7 :0 1 3 5 6 7 :0 2 3 5 6 7 :0 2 4 5 6 7 :0 3 4 5 6 7 :0 1 2 3 4 6 7 :0 1 2 3 5 6 7 :0 1 2 4 5 6 7 :0 1 2 3 4 5 6 7 8 :0 5 7 8 :0 3 5 7 8 :0 4 5 7 8 :0 1 3 5 7 8 :0 1 4 5 7 8 :0 2 3 5 7 8 :0 2 4 5 7 8 :0 3 4 5 7 8 :0 1 2 3 5 7 8 :0 1 2 4 5 7 8 :0 1 3 4 5 7 8 :0 1 2 3 4 5 7 8 9 :0 4 7 8 9 :0 1 4 7 8 9 :0 2 4 7 8 9 :0 3 4 7 8 9 :0 1 2 4 7 8 9 :0 1 3 4 7 8 9 :0 2 3 4 7 8 9 :0 1 2 3 4 7 8 9 10 :0 3 7 8 9 10 :0 1 3 7 8 9 10 :0 2 3 7 8 9 10 :0 1 2 3 7 8 9 10 11 :0 2 7 8 9 10 11 :0 1 2 8 :0 3 5 11 8 :0 4 5 11 8 :0 1 4 5 11 8 :0 3 4 5 11 8 :0 1 2 3 5 11 8 :0 1 2 4 5 11 8 :0 2 3 4 5 11 8 9 :0 4 11 8 9 :0 1 4 11 8 9 :0 2 4 11 8 9 :0 3 4 11 8 9 :0 1 2 4 11 8 9 :0 1 3 4 11 8 9 :0 2 3 4 11 8 9 :0 1 2 3 4 11 8 9 10 :0 3 11 8 9 10 :0 1 3 11 8 9 10 :0 2 3 11 8 9 10 :0 1 2 3 11 8 9 10 11 :0 2 11 9 :0 4 10 9 :0 1 4 10 9 :0 2 4 10 9 :0 3 4 10 9 :0 4 10 11 9 :0 1 2 4 10 9 :0 1 3 4 10 9 :0 2 3 4 10 9 :0 1 4 10 11 9 :0 2 4 10 11 9 :0 3 4 10 11 9 :0 1 2 3 4 10 9 :0 1 2 4 10 11 9 :0 1 3 4 10 11 9 :0 2 3 4 10 11 9 :0 1 2 3 4 10 11 9 10 :0 3 10 9 10 :0 1 3 10 9 10 :0 2 3 10 9 10 :0 3 10 11 9 10 :0 1 2 3 10 9 10 :0 1 3 10 11 9 10 :0 2 3 10 11 9 10 :0 1 2 3 10 11 9 10 11 :0 2 10 11 10 :0 3 9 10 :0 3 9 10 10 :0 3 9 11 10 :0 1 3 9 10 10 :0 1 3 9 11 10 :0 2 3 9 10 10 :0 2 3 9 11 10 :0 3 9 10 11 10 :0 1 2 3 9 10 10 :0 1 2 3 9 11 10 :0 1 3 9 10 11 10 :0 2 3 9 10 11 10 11 :0 2 9 10 10 11 :0 2 9 11 10 11 :0 1 2 9 10 10 11 :0 2 9 10 11 Superset Chord Types by Root Set 0 :0 1 7 8 9 10 11 0 :0 1 3 7 8 9 10 11 0 :0 1 4 7 8 9 10 11 0 :0 1 5 7 8 9 10 11 0 :0 1 3 4 7 8 9 10 11 0 :0 1 3 5 7 8 9 10 11 0 :0 1 4 5 7 8 9 10 11 0 :0 1 3 4 5 7 8 9 10 11 0 1 :0 1 6 7 8 9 10 11 0 1 :0 1 3 6 7 8 9 10 11 0 1 :0 1 4 6 7 8 9 10 11 0 1 :0 1 3 4 6 7 8 9 10 11 0 1 2 :0 1 3 5 6 7 8 9 10 11 0 1 2 3 :0 1 4 5 6 7 8 9 10 11 0 1 2 3 4 :0 1 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 4 5 6 7 8 9 10 11 0 1 2 3 11 :0 1 2 4 5 6 7 8 9 10 11 0 1 2 10 11 :0 1 2 3 5 6 7 8 9 10 11 0 1 2 11 :0 1 2 5 6 7 8 9 10 11 0 1 9 10 11 :0 1 2 3 4 6 7 8 9 10 11 0 1 10 11 :0 1 2 3 6 7 8 9 10 11 0 1 11 :0 1 2 6 7 8 9 10 11 0 1 11 :0 1 2 4 6 7 8 9 10 11 0 8 9 10 11 :0 1 2 3 4 5 7 8 9 10 11 0 9 10 11 :0 1 2 3 4 7 8 9 10 11 0 10 11 :0 1 2 3 7 8 9 10 11 0 10 11 :0 1 2 3 5 7 8 9 10 11 0 11 :0 1 2 7 8 9 10 11 0 11 :0 1 2 5 7 8 9 10 11 0 11 :0 1 2 4 7 8 9 10 11 0 11 :0 1 2 4 5 7 8 9 10 11 1 :0 6 7 8 9 10 11 1 :0 2 6 7 8 9 10 11 1 :0 3 6 7 8 9 10 11 1 :0 4 6 7 8 9 10 11 1 :0 2 3 6 7 8 9 10 11 1 :0 2 4 6 7 8 9 10 11 1 :0 3 4 6 7 8 9 10 11 1 :0 2 3 4 6 7 8 9 10 11 1 2 :0 3 5 6 7 8 9 10 11 1 2 :0 2 3 5 6 7 8 9 10 11 1 2 3 :0 4 5 6 7 8 9 10 11 1 2 3 :0 2 4 5 6 7 8 9 10 11 1 2 3 4 :0 3 4 5 6 7 8 9 10 11 1 2 3 4 5 :0 2 3 4 5 6 7 8 9 10 11 3 :0 4 5 6 7 8 9 10 3 :0 1 4 5 6 7 8 9 10 3 :0 2 4 5 6 7 8 9 10 3 :0 1 2 4 5 6 7 8 9 10 3 4 :0 3 4 5 6 7 8 9 10 3 4 :0 1 3 4 5 6 7 8 9 10 3 4 5 :0 2 3 4 5 6 7 8 9 10 3 4 5 6 7 :0 1 2 3 4 5 6 7 8 9 10 4 :0 3 4 5 6 7 8 9 11 4 :0 1 3 4 5 6 7 8 9 11 4 5 :0 2 3 4 5 6 7 8 9 4 5 :0 2 3 4 5 6 7 8 9 11 4 5 6 7 :0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 :0 1 2 3 4 5 6 7 8 9 11 5 :0 2 3 4 5 6 7 8 5 :0 2 3 4 5 6 7 8 10 5 :0 2 3 4 5 6 7 8 11 5 :0 2 3 4 5 6 7 8 10 11 5 6 7 :0 1 2 3 4 5 6 7 8 5 6 7 :0 1 2 3 4 5 6 7 8 10 5 6 7 8 :0 1 2 3 4 5 6 7 8 11 5 6 7 8 9 :0 1 2 3 4 5 6 7 8 10 11 6 7 :0 1 2 3 4 5 6 7 6 7 :0 1 2 3 4 5 6 7 9 6 7 :0 1 2 3 4 5 6 7 10 6 7 :0 1 2 3 4 5 6 7 9 10 6 7 8 :0 1 2 3 4 5 6 7 11 6 7 8 :0 1 2 3 4 5 6 7 9 11 6 7 8 9 :0 1 2 3 4 5 6 7 10 11 6 7 8 9 10 :0 1 2 3 4 5 6 7 9 10 11 7 :0 1 2 3 4 5 6 7 :0 1 2 3 4 5 6 10 7 :0 1 2 3 4 5 6 8 10 7 :0 1 2 3 4 5 6 9 10 7 :0 1 2 3 4 5 6 8 9 10 7 8 :0 1 2 3 4 5 6 8 9 11 7 8 9 :0 1 2 3 4 5 6 8 10 11 7 8 9 10 :0 1 2 3 4 5 6 9 10 11 7 8 9 10 11 :0 1 2 3 4 5 6 8 9 10 11 8 :0 1 2 3 4 5 7 11 8 :0 1 2 3 4 5 7 8 11 8 :0 1 2 3 4 5 7 9 11 8 :0 1 2 3 4 5 7 8 9 11 8 9 :0 1 2 3 4 5 7 10 11 8 9 :0 1 2 3 4 5 7 8 10 11 8 9 10 :0 1 2 3 4 5 7 9 10 11 8 9 10 11 :0 1 2 3 4 5 8 9 10 11 9 :0 1 2 3 4 10 11 9 :0 1 2 3 4 7 10 11 9 :0 1 2 3 4 8 10 11 9 :0 1 2 3 4 6 7 10 11 9 :0 1 2 3 4 6 8 10 11 9 :0 1 2 3 4 7 8 10 11 9 :0 1 2 3 4 6 7 8 10 11 9 10 :0 1 2 3 4 9 10 11 9 10 :0 1 2 3 4 7 9 10 11 9 10 :0 1 2 3 4 6 7 9 10 11 9 10 11 :0 1 2 3 4 6 8 9 10 11 10 :0 1 2 3 7 9 10 11 10 :0 1 2 3 5 7 9 10 11 10 :0 1 2 3 6 7 9 10 11 10 :0 1 2 3 5 6 7 9 10 11 10 11 :0 1 2 3 5 6 8 9 10 11 11 :0 1 2 4 5 6 8 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 7 8 9 10 11 = 0: 0 1 7 8 9 10 11 = 1: 0 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 = 8: 0 1 2 3 4 5 11 = 9: 0 1 2 3 4 10 11 = 10: 0 1 2 3 9 10 11 = 11: 0 1 2 8 9 10 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 0 7 8 9 10 11 = 0: 0 7 8 9 10 11 = 7: 0 1 2 3 4 5 = 8: 0 1 2 3 4 11 = 9: 0 1 2 3 10 11 = 10: 0 1 2 9 10 11 = 11: 0 1 8 9 10 11 0 2 = maj. 2nd, dim., maj. 9th | 7 8 9 10 11 = 7: 0 1 2 3 4 = 8: 0 1 2 3 11 = 9: 0 1 2 10 11 = 10: 0 1 9 10 11 = 11: 0 8 9 10 11 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 0 4 = maj. 3rd, maj. 10th, dim. 4th | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 7 8 = 7: 0 1 = 8: 0 11 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 1 7 = 1: 0 6 = 7: 0 6 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 0 1 = 0: 0 1 = 1: 0 11 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 1 9 10 11 = 0: 0 1 9 10 11 = 1: 0 8 9 10 11 = 9: 0 1 2 3 4 = 10: 0 1 2 3 11 = 11: 0 1 2 10 11 0 11 = maj. 7th, maj. 14th | 0 1 8 9 10 11 = 0: 0 1 8 9 10 11 = 1: 0 7 8 9 10 11 = 8: 0 1 2 3 4 5 = 9: 0 1 2 3 4 11 = 10: 0 1 2 3 10 11 = 11: 0 1 2 9 10 11 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 7 8 9 10 11 = 7: 0 1 2 3 4 = 8: 0 1 2 3 11 = 9: 0 1 2 10 11 = 10: 0 1 9 10 11 = 11: 0 8 9 10 11 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 0 1 4 | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 2 3 = min. trichord | 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 0 2 4 = maj. trichord | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 3 4 | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 Sus2 triads (Scale Degrees: 125) 0 1 7 | 0 = 0: 0 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 0 8 9 10 11 = 0: 0 8 9 10 11 = 8: 0 1 2 3 4 = 9: 0 1 2 3 11 = 10: 0 1 2 10 11 = 11: 0 1 9 10 11 0 2 11 | 8 9 10 11 = 8: 0 1 2 3 = 9: 0 1 2 11 = 10: 0 1 10 11 = 11: 0 9 10 11 Scale Degrees: 134 0 3 5 | 7 8 = 7: 0 1 = 8: 0 11 0 4 5 | 7 8 = 7: 0 1 = 8: 0 11 Triads (Scale Degrees: 135) 0 3 6 = dim. | 7 = 7: 0 0 4 6 = Mb5 | 7 = 7: 0 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 10 = 10: 0 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 9 10 = 9: 0 1 = 10: 0 11 0 3 11 = mM7 no 5th | 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 0 4 10 = 7 no 5th | 9 = 9: 0 0 4 11 = M7 no 5th | 8 9 = 8: 0 1 = 9: 0 11 Sus4 Triads (Scale Degrees: 145) 0 6 7 = sus#4, Viennese trichord | 1 = 1: 0 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 0 1 = 0: 0 1 = 1: 0 11 0 7 9 | 0 1 = 0: 0 1 = 1: 0 11 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 0 1 = 0: 0 1 = 1: 0 11 0 7 11 = M power chord | 0 1 = 0: 0 1 = 1: 0 11 Scale Degrees: 167 0 10 11 | 0 1 9 10 11 = 0: 0 1 9 10 11 = 1: 0 8 9 10 11 = 9: 0 1 2 3 4 = 10: 0 1 2 3 11 = 11: 0 1 2 10 11 chromatic tetrachord (Scale Degrees: 1223) 0 1 2 3 = chromatic tetrachord | 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 0 1 2 4 | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 1 3 4 = 1st 4 aux dim. | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 2 3 4 | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 7 8 = 7: 0 1 = 8: 0 11 0 1 4 5 = Greek chromatic tetrachord | 7 8 = 7: 0 1 = 8: 0 11 0 2 3 5 = min. tetrachord | 7 8 = 7: 0 1 = 8: 0 11 0 2 4 5 = maj. tetrachord | 7 8 = 7: 0 1 = 8: 0 11 0 2 4 6 = whole tone tetrachord | 7 = 7: 0 0 3 4 5 | 7 8 = 7: 0 1 = 8: 0 11 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 7 = 7: 0 0 2 3 6 = dim. add 9 | 7 = 7: 0 0 3 4 6 = Mb5 add #9 | 7 = 7: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 9 10 = 9: 0 1 = 10: 0 11 0 1 3 11 = Mm7b9 no 5th | 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 0 1 4 10 = 7b9 no 5th | 9 = 9: 0 0 1 4 11 = M7b9 no 5th | 8 9 = 8: 0 1 = 9: 0 11 0 2 3 10 = m9 no 5th | 9 10 = 9: 0 1 = 10: 0 11 0 2 3 11 = mM9 no 5th | 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 0 2 4 10 = 9 no 5th | 9 = 9: 0 0 2 4 11 = M9 no 5th | 8 9 = 8: 0 1 = 9: 0 11 0 3 4 10 = 7#9 no 5th, Hendrix, all-int | 9 = 9: 0 0 3 4 11 = M7#9 no 5th | 8 9 = 8: 0 1 = 9: 0 11 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 8 | 0 = 0: 0 0 1 7 9 = all-int | 0 = 0: 0 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 0 = 0: 0 0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd | 0 = 0: 0 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 1 10 11 | 0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11 0 2 9 10 | 10 11 = 10: 0 1 = 11: 0 11 0 2 9 11 | 10 11 = 10: 0 1 = 11: 0 11 0 2 10 11 | 9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 7 = 7: 0 0 4 5 6 = Mb5 add 11 | 7 = 7: 0 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 11 = all-int | 8 = 8: 0 0 4 5 11 | 8 = 8: 0 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 10 = m7/6 no 5th | 10 = 10: 0 0 3 9 11 = mM7/6 no 5th | 10 = 10: 0 0 3 10 11 = mM7#6 no 5th | 9 10 = 9: 0 1 = 10: 0 11 0 4 10 11 = M7/#6 no 5th | 9 = 9: 0 Scale Degrees: 1456 0 6 7 8 | 1 = 1: 0 0 6 7 9 | 1 = 1: 0 Sus 4 7th Chords (Scale Degrees: 1457) 0 6 7 10 = 7sus#4, all-int | 1 = 1: 0 0 6 7 11 = M7sus#4 | 1 = 1: 0 Scale Degrees: 1566 0 7 8 9 | 0 1 = 0: 0 1 = 1: 0 11 Scale Degrees: 1567 0 7 8 10 | 0 1 = 0: 0 1 = 1: 0 11 0 7 8 11 | 0 1 = 0: 0 1 = 1: 0 11 0 7 9 10 | 0 1 = 0: 0 1 = 1: 0 11 0 7 9 11 | 0 1 = 0: 0 1 = 1: 0 11 0 7 10 11 | 0 1 = 0: 0 1 = 1: 0 11 Scale Degrees: 1667 0 9 10 11 | 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 pentachord (Scale Degrees: 12233) 0 1 2 3 4 = 1st 5 chromatics | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 Scale Degrees: 12234 0 1 2 3 5 | 7 8 = 7: 0 1 = 8: 0 11 0 1 2 3 6 | 7 = 7: 0 0 1 2 4 5 | 7 8 = 7: 0 1 = 8: 0 11 0 1 2 4 6 | 7 = 7: 0 0 1 3 4 5 | 7 8 = 7: 0 1 = 8: 0 11 0 1 3 4 6 = auxdim. pentachord | 7 = 7: 0 0 2 3 4 6 | 7 = 7: 0 Scale Degrees: 12237 0 1 2 3 10 | 9 10 = 9: 0 1 = 10: 0 11 0 1 2 3 11 | 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 0 1 2 4 10 | 9 = 9: 0 0 1 2 4 11 | 8 9 = 8: 0 1 = 9: 0 11 0 1 3 4 10 | 9 = 9: 0 0 1 3 4 11 | 8 9 = 8: 0 1 = 9: 0 11 0 2 3 4 10 | 9 = 9: 0 0 2 3 4 11 | 8 9 = 8: 0 1 = 9: 0 11 Scale Degrees: 12267 0 1 2 9 10 | 10 11 = 10: 0 1 = 11: 0 11 1st 5 notes of diamorphic scale (Scale Degrees: 12345) 0 1 3 5 6 = locrian pentachord | 7 = 7: 0 0 2 3 5 6 | 7 = 7: 0 0 2 4 5 6 | 7 = 7: 0 0 3 4 5 6 | 7 = 7: 0 11th chords no 5th (Scale Degrees: 12347) 0 1 4 5 11 | 8 = 8: 0 0 3 4 5 11 | 8 = 8: 0 13th chords no 5th no 11th (Scale Degrees: 12367) 0 1 3 9 10 = m13b9 no 5th no 11th | 10 = 10: 0 0 1 3 9 11 = mM13b9 no 5th no 11th | 10 = 10: 0 0 1 3 10 11 = mM#13b9 no 5th no 11th | 9 10 = 9: 0 1 = 10: 0 11 0 1 4 10 11 = 7#13b9 no 5th no 11th | 9 = 9: 0 0 2 3 9 10 = m13 no 5th no 11th | 10 = 10: 0 0 2 3 9 11 = M13 no 5th no 11th | 10 = 10: 0 0 2 3 10 11 = m#13 no 5th no 11th | 9 10 = 9: 0 1 = 10: 0 11 0 2 4 10 11 = M#13 no 5th no 11th | 9 = 9: 0 0 3 4 10 11 = M#13#9 no 5th no 11th | 9 = 9: 0 Scale Degrees: 12566 0 1 7 8 9 | 0 = 0: 0 13th chords no 3rd no 11th (Scale Degrees: 12567) 0 1 7 8 10 | 0 = 0: 0 0 1 7 8 11 | 0 = 0: 0 0 1 7 9 10 | 0 = 0: 0 0 1 7 9 11 | 0 = 0: 0 0 1 7 10 11 | 0 = 0: 0 Scale Degrees: 12667 0 2 9 10 11 | 10 11 = 10: 0 1 = 11: 0 11 Scale Degrees: 13677 0 3 9 10 11 | 10 = 10: 0 Scale Degrees: 14566 0 6 7 8 9 | 1 = 1: 0 13th chords no 3rd no 9th (Scale Degrees: 14567) 0 6 7 8 10 | 1 = 1: 0 0 6 7 8 11 | 1 = 1: 0 0 6 7 9 10 | 1 = 1: 0 0 6 7 9 11 | 1 = 1: 0 0 6 7 10 11 | 1 = 1: 0 Scale Degrees: 15667 0 7 8 9 10 | 0 1 = 0: 0 1 = 1: 0 11 0 7 8 9 11 | 0 1 = 0: 0 1 = 1: 0 11 0 7 8 10 11 | 0 1 = 0: 0 1 = 1: 0 11 0 7 9 10 11 | 0 1 = 0: 0 1 = 1: 0 11 Scale Degrees: 16677 0 8 9 10 11 | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 chromatic hexachord (Scale Degrees: 122334) 0 1 2 3 4 5 = 1st 6 chromatics, type A ACH | 7 8 = 7: 0 1 = 8: 0 11 Scale Degrees: 122335 0 1 2 3 4 6 | 7 = 7: 0 Scale Degrees: 122337 0 1 2 3 4 10 | 9 = 9: 0 0 1 2 3 4 11 | 8 9 = 8: 0 1 = 9: 0 11 Scale Degrees: 122345 0 1 2 3 5 6 | 7 = 7: 0 0 1 2 4 5 6 | 7 = 7: 0 Scale Degrees: 122347 0 1 2 3 5 11 | 8 = 8: 0 0 1 2 4 5 11 | 8 = 8: 0 0 2 3 4 5 11 | 8 = 8: 0 Scale Degrees: 122367 0 1 2 3 9 10 | 10 = 10: 0 0 1 2 3 9 11 | 10 = 10: 0 0 1 2 3 10 11 | 9 10 = 9: 0 1 = 10: 0 11 0 1 2 4 10 11 | 9 = 9: 0 0 1 3 4 10 11 | 9 = 9: 0 0 2 3 4 10 11 | 9 = 9: 0 Scale Degrees: 123667 0 1 3 9 10 11 | 10 = 10: 0 0 2 3 9 10 11 | 10 = 10: 0 Scale Degrees: 125667 0 1 7 8 9 10 | 0 = 0: 0 0 1 7 8 9 11 | 0 = 0: 0 0 1 7 8 10 11 | 0 = 0: 0 0 1 7 9 10 11 | 0 = 0: 0 Scale Degrees: 145667 0 6 7 8 9 10 | 1 = 1: 0 0 6 7 8 9 11 | 1 = 1: 0 0 6 7 8 10 11 | 1 = 1: 0 0 6 7 9 10 11 | 1 = 1: 0 Scale Degrees: 156677 0 7 8 9 10 11 | 0 1 = 0: 0 1 = 1: 0 11 chromatic septachord (Scale Degrees: 1223345) 0 1 2 3 4 5 6 = 1st 7 chromatics | 7 = 7: 0 Scale Degrees: 1223367 0 1 2 3 4 10 11 | 9 = 9: 0 Scale Degrees: 1256677 0 1 7 8 9 10 11 | 0 = 0: 0 Scale Degrees: 1456677 0 6 7 8 9 10 11 | 1 = 1: 0 Superset Chord Types By Family Chord Type Roots chromatic septachord (Scale Degrees: 1223345) 0 1 2 3 4 5 6 = 1st 7 chromatics | 7 = 7: 0 Scale Degrees: 1223367 0 1 2 3 4 10 11 | 9 = 9: 0 Scale Degrees: 1256677 0 1 7 8 9 10 11 | 0 = 0: 0 Scale Degrees: 1456677 0 6 7 8 9 10 11 | 1 = 1: 0 chromatic octachord (Scale Degrees: 12223445) 0 1 2 3 4 5 6 7 = 1st 8 chromatics | 6 7 = 6: 0 1 = 7: 0 11 Scale Degrees: 12223457 0 1 2 3 4 5 7 11 | 8 = 8: 0 Scale Degrees: 12223567 0 1 2 3 4 7 10 11 | 9 = 9: 0 0 1 2 3 4 8 10 11 | 9 = 9: 0 Scale Degrees: 12223667 0 1 2 3 4 9 10 11 | 9 10 = 9: 0 1 = 10: 0 11 Scale Degrees: 12233457 0 1 2 3 4 5 6 10 | 7 = 7: 0 Scale Degrees: 12235667 0 1 2 3 7 9 10 11 | 10 = 10: 0 Scale Degrees: 12256677 0 1 2 7 8 9 10 11 | 0 11 = 0: 0 11 = 11: 0 1 chromatic nonachord (Scale Degrees: 12344456) 0 2 3 4 5 6 7 8 | 5 = 5: 0 Scale Degrees: 12356677 0 1 3 7 8 9 10 11 | 0 = 0: 0 0 1 4 7 8 9 10 11 | 0 = 0: 0 Scale Degrees: 12456677 0 1 5 7 8 9 10 11 | 0 = 0: 0 0 1 6 7 8 9 10 11 | 0 1 = 0: 0 1 = 1: 0 11 0 2 6 7 8 9 10 11 | 1 = 1: 0 Scale Degrees: 13445667 0 4 5 6 7 8 9 10 | 3 = 3: 0 Scale Degrees: 13456677 0 3 6 7 8 9 10 11 | 1 = 1: 0 0 4 6 7 8 9 10 11 | 1 = 1: 0 Scale Degrees: 122334456 0 1 2 3 4 5 6 7 8 = 1st 9chromatics | 5 6 7 = 5: 0 1 2 = 6: 0 1 11 = 7: 0 10 11 0 1 2 3 4 5 6 7 9 | 6 7 = 6: 0 1 = 7: 0 11 Scale Degrees: 122334457 0 1 2 3 4 5 6 7 10 | 6 7 = 6: 0 1 = 7: 0 11 0 1 2 3 4 5 6 7 11 | 6 7 8 = 6: 0 1 2 = 7: 0 1 11 = 8: 0 10 11 diamorphic with supplementary 2nd, 3rd (Scale Degrees: 122334567) 0 1 2 3 4 5 6 8 10 = whole tone & locrian | 7 = 7: 0 0 1 2 3 4 5 6 9 10 | 7 = 7: 0 0 1 2 3 4 5 7 8 11 | 8 = 8: 0 0 1 2 3 4 5 7 9 11 | 8 = 8: 0 0 1 2 3 4 5 7 10 11 | 8 9 = 8: 0 1 = 9: 0 11 0 1 2 3 4 6 7 10 11 | 9 = 9: 0 0 1 2 3 4 6 8 10 11 | 9 = 9: 0 Scale Degrees: 122335667 0 1 2 3 4 7 8 10 11 | 9 = 9: 0 0 1 2 3 4 7 9 10 11 | 9 10 = 9: 0 1 = 10: 0 11 Scale Degrees: 122344566 0 2 3 4 5 6 7 8 9 | 4 5 = 4: 0 1 = 5: 0 11 diamorphic with supplementary 2nd, 4th (Scale Degrees: 122344567) 0 2 3 4 5 6 7 8 10 = whole tone & aeolean | 5 = 5: 0 0 2 3 4 5 6 7 8 11 | 5 = 5: 0 diamorphic with supplementary 2nd, 6th (Scale Degrees: 122345667) 0 1 2 3 5 7 9 10 11 | 10 = 10: 0 0 1 2 3 6 7 9 10 11 | 10 = 10: 0 Scale Degrees: 122356677 0 1 3 4 7 8 9 10 11 | 0 = 0: 0 Scale Degrees: 122456677 0 1 2 5 7 8 9 10 11 = Kanakangi | 0 11 = 0: 0 11 = 11: 0 1 0 1 2 6 7 8 9 10 11 | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 Scale Degrees: 123356677 0 1 2 3 7 8 9 10 11 | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 1 2 4 7 8 9 10 11 | 0 11 = 0: 0 11 = 11: 0 1 diamorphic with supplementary 4th, 6th (Scale Degrees: 123445667) 0 1 4 5 6 7 8 9 10 | 3 = 3: 0 0 2 4 5 6 7 8 9 10 = whole tone & mixolydian | 3 = 3: 0 diamorphic with supplementary 4th, 7th (Scale Degrees: 123445677) 0 3 4 5 6 7 8 9 10 | 3 4 = 3: 0 1 = 4: 0 11 0 3 4 5 6 7 8 9 11 | 4 = 4: 0 diamorphic with supplementary 6th, 7th (Scale Degrees: 123456677) 0 1 3 5 7 8 9 10 11 | 0 = 0: 0 0 1 3 6 7 8 9 10 11 | 0 1 = 0: 0 1 = 1: 0 11 0 1 4 5 7 8 9 10 11 | 0 = 0: 0 0 1 4 6 7 8 9 10 11 | 0 1 = 0: 0 1 = 1: 0 11 0 2 3 6 7 8 9 10 11 | 1 = 1: 0 0 2 4 6 7 8 9 10 11 = whole tone & lydian | 1 = 1: 0 0 3 4 6 7 8 9 10 11 | 1 = 1: 0 Scale Degrees: 134456667 0 3 5 6 7 8 9 10 11 | 1 2 = 1: 0 1 = 2: 0 11 Scale Degrees: 134456677 0 4 5 6 7 8 9 10 11 | 1 2 3 = 1: 0 1 2 = 2: 0 1 11 = 3: 0 10 11 chromatic decachord (Scale Degrees: 1223344566) 0 1 2 3 4 5 6 7 8 9 = 1st 10 chromatics | 4 5 6 7 = 4: 0 1 2 3 = 5: 0 1 2 11 = 6: 0 1 10 11 = 7: 0 9 10 11 diamorphic with supplementary 2nd, 3rd, 4th (Scale Degrees: 1223344567) 0 1 2 3 4 5 6 7 8 10 = whole tone & phrygian | 5 6 7 = 5: 0 1 2 = 6: 0 1 11 = 7: 0 10 11 0 1 2 3 4 5 6 7 8 11 | 5 6 7 8 = 5: 0 1 2 3 = 6: 0 1 2 11 = 7: 0 1 10 11 = 8: 0 9 10 11 0 1 2 3 4 5 6 7 9 10 = auxdim. scale & dorian | 6 7 = 6: 0 1 = 7: 0 11 0 1 2 3 4 5 6 7 9 11 | 6 7 8 = 6: 0 1 2 = 7: 0 1 11 = 8: 0 10 11 0 1 2 3 4 5 6 7 10 11 | 6 7 8 9 = 6: 0 1 2 3 = 7: 0 1 2 11 = 8: 0 1 10 11 = 9: 0 9 10 11 diamorphic with supplementary 2nd, 3rd, 6th (Scale Degrees: 1223345667) 0 1 2 3 4 5 6 8 9 10 | 7 = 7: 0 0 1 2 3 4 5 6 8 9 11 | 7 8 = 7: 0 1 = 8: 0 11 0 1 2 3 4 5 6 8 10 11 | 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 0 1 2 3 4 5 6 9 10 11 | 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 0 1 2 3 4 5 7 8 9 11 = 014589 & mel. min. | 8 = 8: 0 0 1 2 3 4 5 7 8 10 11 | 8 9 = 8: 0 1 = 9: 0 11 0 1 2 3 4 5 7 9 10 11 | 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 0 1 2 3 4 5 8 9 10 11 | 8 9 10 11 = 8: 0 1 2 3 = 9: 0 1 2 11 = 10: 0 1 10 11 = 11: 0 9 10 11 0 1 2 3 4 6 7 8 10 11 | 9 = 9: 0 0 1 2 3 4 6 7 9 10 11 = auxdim. scale & lydian | 9 10 = 9: 0 1 = 10: 0 11 0 1 2 3 4 6 8 9 10 11 | 9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11 Scale Degrees: 1223356667 0 1 2 3 4 7 8 9 10 11 | 0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11 diamorphic with supplementary 2nd, 4th, 6th (Scale Degrees: 1223445667) 0 1 2 3 5 6 7 9 10 11 = 12569A & mel. min. | 10 = 10: 0 0 1 2 3 5 6 8 9 10 11 = dim. scale & locrian | 10 11 = 10: 0 1 = 11: 0 11 0 1 2 4 5 6 7 8 9 10 | 3 = 3: 0 0 1 2 4 5 6 8 9 10 11 | 11 = 11: 0 0 1 3 4 5 6 7 8 9 10 = auxdim. scale & phrygian, 014589 & auxdim. scale | 3 4 = 3: 0 1 = 4: 0 11 0 1 3 4 5 6 7 8 9 11 | 4 = 4: 0 0 2 3 4 5 6 7 8 9 10 | 3 4 5 = 3: 0 1 2 = 4: 0 1 11 = 5: 0 10 11 0 2 3 4 5 6 7 8 9 11 = lydian & harm. min. | 4 5 = 4: 0 1 = 5: 0 11 0 2 3 4 5 6 7 8 10 11 | 5 = 5: 0 diamorphic with supplementary 2nd, 6th, 7th (Scale Degrees: 1223456677) 0 1 2 3 5 7 8 9 10 11 = phrygian & mel. min. | 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 1 2 3 6 7 8 9 10 11 | 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 0 1 2 4 5 7 8 9 10 11 = 014589 & bebop maj., Span. Gypsy & ionian | 0 11 = 0: 0 11 = 11: 0 1 0 1 2 4 6 7 8 9 10 11 | 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 0 1 3 4 5 7 8 9 10 11 | 0 = 0: 0 0 1 3 4 6 7 8 9 10 11 = 03478B & auxdim. scale | 0 1 = 0: 0 1 = 1: 0 11 0 2 3 4 6 7 8 9 10 11 | 1 = 1: 0 Scale Degrees: 1224456677 0 1 2 5 6 7 8 9 10 11 | 0 1 2 11 = 0: 0 1 2 11 = 1: 0 1 10 11 = 2: 0 9 10 11 = 11: 0 1 2 3 diamorphic with supplementary 4th, 6th, 7th (Scale Degrees: 1234456677) 0 1 3 5 6 7 8 9 10 11 | 0 1 2 = 0: 0 1 2 = 1: 0 1 11 = 2: 0 10 11 0 1 4 5 6 7 8 9 10 11 | 0 1 2 3 = 0: 0 1 2 3 = 1: 0 1 2 11 = 2: 0 1 10 11 = 3: 0 9 10 11 0 2 3 5 6 7 8 9 10 11 = dim. scale & dorian | 1 2 = 1: 0 1 = 2: 0 11 0 2 4 5 6 7 8 9 10 11 = whole tone & ionian | 1 2 3 = 1: 0 1 2 = 2: 0 1 11 = 3: 0 10 11 0 3 4 5 6 7 8 9 10 11 | 1 2 3 4 = 1: 0 1 2 3 = 2: 0 1 2 11 = 3: 0 1 10 11 = 4: 0 9 10 11 chromatic unidecachord = diamorphic with supplementary 2nd, 3rd, 4th, 6th (Scale Degrees: 12233445667) 0 1 2 3 4 5 6 7 8 9 10 = mixolocrian, 1st 11 chromatics | 3 4 5 6 7 = 3: 0 1 2 3 4 = 4: 0 1 2 3 11 = 5: 0 1 2 10 11 = 6: 0 1 9 10 11 = 7: 0 8 9 10 11 0 1 2 3 4 5 6 7 8 9 11 | 4 5 6 7 8 = 4: 0 1 2 3 4 = 5: 0 1 2 3 11 = 6: 0 1 2 10 11 = 7: 0 1 9 10 11 = 8: 0 8 9 10 11 0 1 2 3 4 5 6 7 8 10 11 | 5 6 7 8 9 = 5: 0 1 2 3 4 = 6: 0 1 2 3 11 = 7: 0 1 2 10 11 = 8: 0 1 9 10 11 = 9: 0 8 9 10 11 0 1 2 3 4 5 6 7 9 10 11 = auxdim. scale & ionian | 6 7 8 9 10 = 6: 0 1 2 3 4 = 7: 0 1 2 3 11 = 8: 0 1 2 10 11 = 9: 0 1 9 10 11 = 10: 0 8 9 10 11 diamorphic with supplementary 2nd, 3rd, 6th, 7th (Scale Degrees: 12233456677) 0 1 2 3 4 5 6 8 9 10 11 = 11 in 4ths | 7 8 9 10 11 = 7: 0 1 2 3 4 = 8: 0 1 2 3 11 = 9: 0 1 2 10 11 = 10: 0 1 9 10 11 = 11: 0 8 9 10 11 0 1 2 3 4 5 7 8 9 10 11 = iophrygian, Spanish Gypsy & dorian, consonant-11 | 0 8 9 10 11 = 0: 0 8 9 10 11 = 8: 0 1 2 3 4 = 9: 0 1 2 3 11 = 10: 0 1 2 10 11 = 11: 0 1 9 10 11 0 1 2 3 4 6 7 8 9 10 11 = 11 in 5ths, most stable 11 chord type | 0 1 9 10 11 = 0: 0 1 9 10 11 = 1: 0 8 9 10 11 = 9: 0 1 2 3 4 = 10: 0 1 2 3 11 = 11: 0 1 2 10 11 diamorphic with supplementary 2nd, 4th, 6th, 7th (Scale Degrees: 12234456677) 0 1 2 3 5 6 7 8 9 10 11 = locrian & mel. min., dim. & phrygian | 0 1 2 10 11 = 0: 0 1 2 10 11 = 1: 0 1 9 10 11 = 2: 0 8 9 10 11 = 10: 0 1 2 3 4 = 11: 0 1 2 3 11 0 1 2 4 5 6 7 8 9 10 11 = Northern lights chord | 0 1 2 3 11 = 0: 0 1 2 3 11 = 1: 0 1 2 10 11 = 2: 0 1 9 10 11 = 3: 0 8 9 10 11 = 11: 0 1 2 3 4 0 1 3 4 5 6 7 8 9 10 11 | 0 1 2 3 4 = 0: 0 1 2 3 4 = 1: 0 1 2 3 11 = 2: 0 1 2 10 11 = 3: 0 1 9 10 11 = 4: 0 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 = aeolydian, whole tone & dorian | 1 2 3 4 5 = 1: 0 1 2 3 4 = 2: 0 1 2 3 11 = 3: 0 1 2 10 11 = 4: 0 1 9 10 11 = 5: 0 8 9 10 11 chromatic Scale = diamorphic with supplementary 2nd, 3rd, 4th, 6th, 7th (Scale Degrees: 122334456677) 0 1 2 3 4 5 6 7 8 9 10 11 = chromatic, dodecachord, 12 in 4ths, 12 in 5ths | 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Pitch Class Sets 0 = 0: 0 0 1 = 0: 0 1 = 1: 0 11 0 1 7 = 0: 0 1 7 = 1: 0 6 11 = 7: 0 5 6 0 1 7 8 = 0: 0 1 7 8 = 1: 0 6 7 11 = 7: 0 1 5 6 = 8: 0 4 5 11 0 1 7 8 9 = 0: 0 1 7 8 9 = 1: 0 6 7 8 11 = 7: 0 1 2 5 6 = 8: 0 1 4 5 11 = 9: 0 3 4 10 11 0 1 7 8 9 10 = 0: 0 1 7 8 9 10 = 1: 0 6 7 8 9 11 = 7: 0 1 2 3 5 6 = 8: 0 1 2 4 5 11 = 9: 0 1 3 4 10 11 = 10: 0 2 3 9 10 11 0 1 7 8 9 10 11 = 0: 0 1 7 8 9 10 11 = 1: 0 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 = 8: 0 1 2 3 4 5 11 = 9: 0 1 2 3 4 10 11 = 10: 0 1 2 3 9 10 11 = 11: 0 1 2 8 9 10 11 0 1 7 8 9 11 = 0: 0 1 7 8 9 11 = 1: 0 6 7 8 10 11 = 7: 0 1 2 4 5 6 = 8: 0 1 3 4 5 11 = 9: 0 2 3 4 10 11 = 11: 0 1 2 8 9 10 0 1 7 8 10 = 0: 0 1 7 8 10 = 1: 0 6 7 9 11 = 7: 0 1 3 5 6 = 8: 0 2 4 5 11 = 10: 0 2 3 9 10 0 1 7 8 10 11 = 0: 0 1 7 8 10 11 = 1: 0 6 7 9 10 11 = 7: 0 1 3 4 5 6 = 8: 0 2 3 4 5 11 = 10: 0 1 2 3 9 10 = 11: 0 1 2 8 9 11 0 1 7 8 11 = 0: 0 1 7 8 11 = 1: 0 6 7 10 11 = 7: 0 1 4 5 6 = 8: 0 3 4 5 11 = 11: 0 1 2 8 9 0 1 7 9 = 0: 0 1 7 9 = 1: 0 6 8 11 = 7: 0 2 5 6 = 9: 0 3 4 10 0 1 7 9 10 = 0: 0 1 7 9 10 = 1: 0 6 8 9 11 = 7: 0 2 3 5 6 = 9: 0 1 3 4 10 = 10: 0 2 3 9 11 0 1 7 9 10 11 = 0: 0 1 7 9 10 11 = 1: 0 6 8 9 10 11 = 7: 0 2 3 4 5 6 = 9: 0 1 2 3 4 10 = 10: 0 1 2 3 9 11 = 11: 0 1 2 8 10 11 0 1 7 9 11 = 0: 0 1 7 9 11 = 1: 0 6 8 10 11 = 7: 0 2 4 5 6 = 9: 0 2 3 4 10 = 11: 0 1 2 8 10 0 1 7 10 = 0: 0 1 7 10 = 1: 0 6 9 11 = 7: 0 3 5 6 = 10: 0 2 3 9 0 1 7 10 11 = 0: 0 1 7 10 11 = 1: 0 6 9 10 11 = 7: 0 3 4 5 6 = 10: 0 1 2 3 9 = 11: 0 1 2 8 11 0 1 7 11 = 0: 0 1 7 11 = 1: 0 6 10 11 = 7: 0 4 5 6 = 11: 0 1 2 8 0 1 8 = 0: 0 1 8 = 1: 0 7 11 = 8: 0 4 5 0 1 8 9 = 0: 0 1 8 9 = 1: 0 7 8 11 = 8: 0 1 4 5 = 9: 0 3 4 11 0 1 8 9 10 = 0: 0 1 8 9 10 = 1: 0 7 8 9 11 = 8: 0 1 2 4 5 = 9: 0 1 3 4 11 = 10: 0 2 3 10 11 0 1 8 9 10 11 = 0: 0 1 8 9 10 11 = 1: 0 7 8 9 10 11 = 8: 0 1 2 3 4 5 = 9: 0 1 2 3 4 11 = 10: 0 1 2 3 10 11 = 11: 0 1 2 9 10 11 0 1 8 9 11 = 0: 0 1 8 9 11 = 1: 0 7 8 10 11 = 8: 0 1 3 4 5 = 9: 0 2 3 4 11 = 11: 0 1 2 9 10 0 1 8 10 = 0: 0 1 8 10 = 1: 0 7 9 11 = 8: 0 2 4 5 = 10: 0 2 3 10 0 1 8 10 11 = 0: 0 1 8 10 11 = 1: 0 7 9 10 11 = 8: 0 2 3 4 5 = 10: 0 1 2 3 10 = 11: 0 1 2 9 11 0 1 8 11 = 0: 0 1 8 11 = 1: 0 7 10 11 = 8: 0 3 4 5 = 11: 0 1 2 9 0 1 9 = 0: 0 1 9 = 1: 0 8 11 = 9: 0 3 4 0 1 9 10 = 0: 0 1 9 10 = 1: 0 8 9 11 = 9: 0 1 3 4 = 10: 0 2 3 11 0 1 9 10 11 = 0: 0 1 9 10 11 = 1: 0 8 9 10 11 = 9: 0 1 2 3 4 = 10: 0 1 2 3 11 = 11: 0 1 2 10 11 0 1 9 11 = 0: 0 1 9 11 = 1: 0 8 10 11 = 9: 0 2 3 4 = 11: 0 1 2 10 0 1 10 = 0: 0 1 10 = 1: 0 9 11 = 10: 0 2 3 0 1 10 11 = 0: 0 1 10 11 = 1: 0 9 10 11 = 10: 0 1 2 3 = 11: 0 1 2 11 0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2 0 7 = 0: 0 7 = 7: 0 5 0 7 8 = 0: 0 7 8 = 7: 0 1 5 = 8: 0 4 11 0 7 8 9 = 0: 0 7 8 9 = 7: 0 1 2 5 = 8: 0 1 4 11 = 9: 0 3 10 11 0 7 8 9 10 = 0: 0 7 8 9 10 = 7: 0 1 2 3 5 = 8: 0 1 2 4 11 = 9: 0 1 3 10 11 = 10: 0 2 9 10 11 0 7 8 9 10 11 = 0: 0 7 8 9 10 11 = 7: 0 1 2 3 4 5 = 8: 0 1 2 3 4 11 = 9: 0 1 2 3 10 11 = 10: 0 1 2 9 10 11 = 11: 0 1 8 9 10 11 0 7 8 9 11 = 0: 0 7 8 9 11 = 7: 0 1 2 4 5 = 8: 0 1 3 4 11 = 9: 0 2 3 10 11 = 11: 0 1 8 9 10 0 7 8 10 = 0: 0 7 8 10 = 7: 0 1 3 5 = 8: 0 2 4 11 = 10: 0 2 9 10 0 7 8 10 11 = 0: 0 7 8 10 11 = 7: 0 1 3 4 5 = 8: 0 2 3 4 11 = 10: 0 1 2 9 10 = 11: 0 1 8 9 11 0 7 8 11 = 0: 0 7 8 11 = 7: 0 1 4 5 = 8: 0 3 4 11 = 11: 0 1 8 9 0 7 9 = 0: 0 7 9 = 7: 0 2 5 = 9: 0 3 10 0 7 9 10 = 0: 0 7 9 10 = 7: 0 2 3 5 = 9: 0 1 3 10 = 10: 0 2 9 11 0 7 9 10 11 = 0: 0 7 9 10 11 = 7: 0 2 3 4 5 = 9: 0 1 2 3 10 = 10: 0 1 2 9 11 = 11: 0 1 8 10 11 0 7 9 11 = 0: 0 7 9 11 = 7: 0 2 4 5 = 9: 0 2 3 10 = 11: 0 1 8 10 0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9 0 7 10 11 = 0: 0 7 10 11 = 7: 0 3 4 5 = 10: 0 1 2 9 = 11: 0 1 8 11 0 7 11 = 0: 0 7 11 = 7: 0 4 5 = 11: 0 1 8 0 8 = 0: 0 8 = 8: 0 4 0 8 9 = 0: 0 8 9 = 8: 0 1 4 = 9: 0 3 11 0 8 9 10 = 0: 0 8 9 10 = 8: 0 1 2 4 = 9: 0 1 3 11 = 10: 0 2 10 11 0 8 9 10 11 = 0: 0 8 9 10 11 = 8: 0 1 2 3 4 = 9: 0 1 2 3 11 = 10: 0 1 2 10 11 = 11: 0 1 9 10 11 0 8 9 11 = 0: 0 8 9 11 = 8: 0 1 3 4 = 9: 0 2 3 11 = 11: 0 1 9 10 0 8 10 = 0: 0 8 10 = 8: 0 2 4 = 10: 0 2 10 0 8 10 11 = 0: 0 8 10 11 = 8: 0 2 3 4 = 10: 0 1 2 10 = 11: 0 1 9 11 0 8 11 = 0: 0 8 11 = 8: 0 3 4 = 11: 0 1 9 0 9 = 0: 0 9 = 9: 0 3 0 9 10 = 0: 0 9 10 = 9: 0 1 3 = 10: 0 2 11 0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11 0 9 11 = 0: 0 9 11 = 9: 0 2 3 = 11: 0 1 10 0 10 = 0: 0 10 = 10: 0 2 0 10 11 = 0: 0 10 11 = 10: 0 1 2 = 11: 0 1 11 0 11 = 0: 0 11 = 11: 0 1 1 = 1: 0 1 7 = 1: 0 6 = 7: 0 6 1 7 8 = 1: 0 6 7 = 7: 0 1 6 = 8: 0 5 11 1 7 8 9 = 1: 0 6 7 8 = 7: 0 1 2 6 = 8: 0 1 5 11 = 9: 0 4 10 11 1 7 8 9 10 = 1: 0 6 7 8 9 = 7: 0 1 2 3 6 = 8: 0 1 2 5 11 = 9: 0 1 4 10 11 = 10: 0 3 9 10 11 1 7 8 9 10 11 = 1: 0 6 7 8 9 10 = 7: 0 1 2 3 4 6 = 8: 0 1 2 3 5 11 = 9: 0 1 2 4 10 11 = 10: 0 1 3 9 10 11 = 11: 0 2 8 9 10 11 1 7 8 9 11 = 1: 0 6 7 8 10 = 7: 0 1 2 4 6 = 8: 0 1 3 5 11 = 9: 0 2 4 10 11 = 11: 0 2 8 9 10 1 7 8 10 = 1: 0 6 7 9 = 7: 0 1 3 6 = 8: 0 2 5 11 = 10: 0 3 9 10 1 7 8 10 11 = 1: 0 6 7 9 10 = 7: 0 1 3 4 6 = 8: 0 2 3 5 11 = 10: 0 1 3 9 10 = 11: 0 2 8 9 11 1 7 8 11 = 1: 0 6 7 10 = 7: 0 1 4 6 = 8: 0 3 5 11 = 11: 0 2 8 9 1 7 9 = 1: 0 6 8 = 7: 0 2 6 = 9: 0 4 10 1 7 9 10 = 1: 0 6 8 9 = 7: 0 2 3 6 = 9: 0 1 4 10 = 10: 0 3 9 11 1 7 9 10 11 = 1: 0 6 8 9 10 = 7: 0 2 3 4 6 = 9: 0 1 2 4 10 = 10: 0 1 3 9 11 = 11: 0 2 8 10 11 1 7 9 11 = 1: 0 6 8 10 = 7: 0 2 4 6 = 9: 0 2 4 10 = 11: 0 2 8 10 1 7 10 = 1: 0 6 9 = 7: 0 3 6 = 10: 0 3 9 1 7 10 11 = 1: 0 6 9 10 = 7: 0 3 4 6 = 10: 0 1 3 9 = 11: 0 2 8 11 1 7 11 = 1: 0 6 10 = 7: 0 4 6 = 11: 0 2 8 1 8 = 1: 0 7 = 8: 0 5 1 8 9 = 1: 0 7 8 = 8: 0 1 5 = 9: 0 4 11 1 8 9 10 = 1: 0 7 8 9 = 8: 0 1 2 5 = 9: 0 1 4 11 = 10: 0 3 10 11 1 8 9 10 11 = 1: 0 7 8 9 10 = 8: 0 1 2 3 5 = 9: 0 1 2 4 11 = 10: 0 1 3 10 11 = 11: 0 2 9 10 11 1 8 9 11 = 1: 0 7 8 10 = 8: 0 1 3 5 = 9: 0 2 4 11 = 11: 0 2 9 10 1 8 10 = 1: 0 7 9 = 8: 0 2 5 = 10: 0 3 10 1 8 10 11 = 1: 0 7 9 10 = 8: 0 2 3 5 = 10: 0 1 3 10 = 11: 0 2 9 11 1 8 11 = 1: 0 7 10 = 8: 0 3 5 = 11: 0 2 9 1 9 = 1: 0 8 = 9: 0 4 1 9 10 = 1: 0 8 9 = 9: 0 1 4 = 10: 0 3 11 1 9 10 11 = 1: 0 8 9 10 = 9: 0 1 2 4 = 10: 0 1 3 11 = 11: 0 2 10 11 1 9 11 = 1: 0 8 10 = 9: 0 2 4 = 11: 0 2 10 1 10 = 1: 0 9 = 10: 0 3 1 10 11 = 1: 0 9 10 = 10: 0 1 3 = 11: 0 2 11 1 11 = 1: 0 10 = 11: 0 2 7 = 7: 0 7 8 = 7: 0 1 = 8: 0 11 7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11 7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11 7 8 9 10 11 = 7: 0 1 2 3 4 = 8: 0 1 2 3 11 = 9: 0 1 2 10 11 = 10: 0 1 9 10 11 = 11: 0 8 9 10 11 7 8 9 11 = 7: 0 1 2 4 = 8: 0 1 3 11 = 9: 0 2 10 11 = 11: 0 8 9 10 7 8 10 = 7: 0 1 3 = 8: 0 2 11 = 10: 0 9 10 7 8 10 11 = 7: 0 1 3 4 = 8: 0 2 3 11 = 10: 0 1 9 10 = 11: 0 8 9 11 7 8 11 = 7: 0 1 4 = 8: 0 3 11 = 11: 0 8 9 7 9 = 7: 0 2 = 9: 0 10 7 9 10 = 7: 0 2 3 = 9: 0 1 10 = 10: 0 9 11 7 9 10 11 = 7: 0 2 3 4 = 9: 0 1 2 10 = 10: 0 1 9 11 = 11: 0 8 10 11 7 9 11 = 7: 0 2 4 = 9: 0 2 10 = 11: 0 8 10 7 10 = 7: 0 3 = 10: 0 9 7 10 11 = 7: 0 3 4 = 10: 0 1 9 = 11: 0 8 11 7 11 = 7: 0 4 = 11: 0 8 8 = 8: 0 8 9 = 8: 0 1 = 9: 0 11 8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11 8 9 10 11 = 8: 0 1 2 3 = 9: 0 1 2 11 = 10: 0 1 10 11 = 11: 0 9 10 11 8 9 11 = 8: 0 1 3 = 9: 0 2 11 = 11: 0 9 10 8 10 = 8: 0 2 = 10: 0 10 8 10 11 = 8: 0 2 3 = 10: 0 1 10 = 11: 0 9 11 8 11 = 8: 0 3 = 11: 0 9 9 = 9: 0 9 10 = 9: 0 1 = 10: 0 11 9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11 9 11 = 9: 0 2 = 11: 0 10 10 = 10: 0 10 11 = 10: 0 1 = 11: 0 11 11 = 11: 0 Superset Pitch Class Sets 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 0 1 2 3 4 5 7 8 9 10 11 = 0: 0 1 2 3 4 5 7 8 9 10 11 = 1: 0 1 2 3 4 6 7 8 9 10 11 = 2: 0 1 2 3 5 6 7 8 9 10 11 = 3: 0 1 2 4 5 6 7 8 9 10 11 = 4: 0 1 3 4 5 6 7 8 9 10 11 = 5: 0 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 = 8: 0 1 2 3 4 5 6 7 8 9 11 = 9: 0 1 2 3 4 5 6 7 8 10 11 = 10: 0 1 2 3 4 5 6 7 9 10 11 = 11: 0 1 2 3 4 5 6 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 = 0: 0 1 2 3 4 6 7 8 9 10 11 = 1: 0 1 2 3 5 6 7 8 9 10 11 = 2: 0 1 2 4 5 6 7 8 9 10 11 = 3: 0 1 3 4 5 6 7 8 9 10 11 = 4: 0 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 = 7: 0 1 2 3 4 5 6 7 8 9 11 = 8: 0 1 2 3 4 5 6 7 8 10 11 = 9: 0 1 2 3 4 5 6 7 9 10 11 = 10: 0 1 2 3 4 5 6 8 9 10 11 = 11: 0 1 2 3 4 5 7 8 9 10 11 0 1 2 3 4 7 8 9 10 11 = 0: 0 1 2 3 4 7 8 9 10 11 = 1: 0 1 2 3 6 7 8 9 10 11 = 2: 0 1 2 5 6 7 8 9 10 11 = 3: 0 1 4 5 6 7 8 9 10 11 = 4: 0 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 = 8: 0 1 2 3 4 5 6 7 8 11 = 9: 0 1 2 3 4 5 6 7 10 11 = 10: 0 1 2 3 4 5 6 9 10 11 = 11: 0 1 2 3 4 5 8 9 10 11 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 0 1 2 3 5 7 8 9 10 11 = 0: 0 1 2 3 5 7 8 9 10 11 = 1: 0 1 2 4 6 7 8 9 10 11 = 2: 0 1 3 5 6 7 8 9 10 11 = 3: 0 2 4 5 6 7 8 9 10 11 = 5: 0 2 3 4 5 6 7 8 9 10 = 7: 0 1 2 3 4 5 6 7 8 10 = 8: 0 1 2 3 4 5 6 7 9 11 = 9: 0 1 2 3 4 5 6 8 10 11 = 10: 0 1 2 3 4 5 7 9 10 11 = 11: 0 1 2 3 4 6 8 9 10 11 0 1 2 3 6 7 8 9 10 11 = 0: 0 1 2 3 6 7 8 9 10 11 = 1: 0 1 2 5 6 7 8 9 10 11 = 2: 0 1 4 5 6 7 8 9 10 11 = 3: 0 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 = 7: 0 1 2 3 4 5 6 7 8 11 = 8: 0 1 2 3 4 5 6 7 10 11 = 9: 0 1 2 3 4 5 6 9 10 11 = 10: 0 1 2 3 4 5 8 9 10 11 = 11: 0 1 2 3 4 7 8 9 10 11 0 1 2 3 7 8 9 10 11 = 0: 0 1 2 3 7 8 9 10 11 = 1: 0 1 2 6 7 8 9 10 11 = 2: 0 1 5 6 7 8 9 10 11 = 3: 0 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 = 8: 0 1 2 3 4 5 6 7 11 = 9: 0 1 2 3 4 5 6 10 11 = 10: 0 1 2 3 4 5 9 10 11 = 11: 0 1 2 3 4 8 9 10 11 0 1 2 4 5 6 7 8 9 10 11 = 0: 0 1 2 4 5 6 7 8 9 10 11 = 1: 0 1 3 4 5 6 7 8 9 10 11 = 2: 0 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 = 5: 0 1 2 3 4 5 6 7 8 9 11 = 6: 0 1 2 3 4 5 6 7 8 10 11 = 7: 0 1 2 3 4 5 6 7 9 10 11 = 8: 0 1 2 3 4 5 6 8 9 10 11 = 9: 0 1 2 3 4 5 7 8 9 10 11 = 10: 0 1 2 3 4 6 7 8 9 10 11 = 11: 0 1 2 3 5 6 7 8 9 10 11 0 1 2 4 5 7 8 9 10 11 = 0: 0 1 2 4 5 7 8 9 10 11 = 1: 0 1 3 4 6 7 8 9 10 11 = 2: 0 2 3 5 6 7 8 9 10 11 = 4: 0 1 3 4 5 6 7 8 9 10 = 5: 0 2 3 4 5 6 7 8 9 11 = 7: 0 1 2 3 4 5 6 7 9 10 = 8: 0 1 2 3 4 5 6 8 9 11 = 9: 0 1 2 3 4 5 7 8 10 11 = 10: 0 1 2 3 4 6 7 9 10 11 = 11: 0 1 2 3 5 6 8 9 10 11 0 1 2 4 6 7 8 9 10 11 = 0: 0 1 2 4 6 7 8 9 10 11 = 1: 0 1 3 5 6 7 8 9 10 11 = 2: 0 2 4 5 6 7 8 9 10 11 = 4: 0 2 3 4 5 6 7 8 9 10 = 6: 0 1 2 3 4 5 6 7 8 10 = 7: 0 1 2 3 4 5 6 7 9 11 = 8: 0 1 2 3 4 5 6 8 10 11 = 9: 0 1 2 3 4 5 7 9 10 11 = 10: 0 1 2 3 4 6 8 9 10 11 = 11: 0 1 2 3 5 7 8 9 10 11 0 1 2 4 7 8 9 10 11 = 0: 0 1 2 4 7 8 9 10 11 = 1: 0 1 3 6 7 8 9 10 11 = 2: 0 2 5 6 7 8 9 10 11 = 4: 0 3 4 5 6 7 8 9 10 = 7: 0 1 2 3 4 5 6 7 9 = 8: 0 1 2 3 4 5 6 8 11 = 9: 0 1 2 3 4 5 7 10 11 = 10: 0 1 2 3 4 6 9 10 11 = 11: 0 1 2 3 5 8 9 10 11 0 1 2 5 6 7 8 9 10 11 = 0: 0 1 2 5 6 7 8 9 10 11 = 1: 0 1 4 5 6 7 8 9 10 11 = 2: 0 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 = 6: 0 1 2 3 4 5 6 7 8 11 = 7: 0 1 2 3 4 5 6 7 10 11 = 8: 0 1 2 3 4 5 6 9 10 11 = 9: 0 1 2 3 4 5 8 9 10 11 = 10: 0 1 2 3 4 7 8 9 10 11 = 11: 0 1 2 3 6 7 8 9 10 11 0 1 2 5 7 8 9 10 11 = 0: 0 1 2 5 7 8 9 10 11 = 1: 0 1 4 6 7 8 9 10 11 = 2: 0 3 5 6 7 8 9 10 11 = 5: 0 2 3 4 5 6 7 8 9 = 7: 0 1 2 3 4 5 6 7 10 = 8: 0 1 2 3 4 5 6 9 11 = 9: 0 1 2 3 4 5 8 10 11 = 10: 0 1 2 3 4 7 9 10 11 = 11: 0 1 2 3 6 8 9 10 11 0 1 2 6 7 8 9 10 11 = 0: 0 1 2 6 7 8 9 10 11 = 1: 0 1 5 6 7 8 9 10 11 = 2: 0 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 = 7: 0 1 2 3 4 5 6 7 11 = 8: 0 1 2 3 4 5 6 10 11 = 9: 0 1 2 3 4 5 9 10 11 = 10: 0 1 2 3 4 8 9 10 11 = 11: 0 1 2 3 7 8 9 10 11 0 1 2 7 8 9 10 11 = 0: 0 1 2 7 8 9 10 11 = 1: 0 1 6 7 8 9 10 11 = 2: 0 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 = 8: 0 1 2 3 4 5 6 11 = 9: 0 1 2 3 4 5 10 11 = 10: 0 1 2 3 4 9 10 11 = 11: 0 1 2 3 8 9 10 11 0 1 3 4 5 6 7 8 9 10 11 = 0: 0 1 3 4 5 6 7 8 9 10 11 = 1: 0 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 = 4: 0 1 2 3 4 5 6 7 8 9 11 = 5: 0 1 2 3 4 5 6 7 8 10 11 = 6: 0 1 2 3 4 5 6 7 9 10 11 = 7: 0 1 2 3 4 5 6 8 9 10 11 = 8: 0 1 2 3 4 5 7 8 9 10 11 = 9: 0 1 2 3 4 6 7 8 9 10 11 = 10: 0 1 2 3 5 6 7 8 9 10 11 = 11: 0 1 2 4 5 6 7 8 9 10 11 0 1 3 4 5 7 8 9 10 11 = 0: 0 1 3 4 5 7 8 9 10 11 = 1: 0 2 3 4 6 7 8 9 10 11 = 3: 0 1 2 4 5 6 7 8 9 10 = 4: 0 1 3 4 5 6 7 8 9 11 = 5: 0 2 3 4 5 6 7 8 10 11 = 7: 0 1 2 3 4 5 6 8 9 10 = 8: 0 1 2 3 4 5 7 8 9 11 = 9: 0 1 2 3 4 6 7 8 10 11 = 10: 0 1 2 3 5 6 7 9 10 11 = 11: 0 1 2 4 5 6 8 9 10 11 0 1 3 4 6 7 8 9 10 11 = 0: 0 1 3 4 6 7 8 9 10 11 = 1: 0 2 3 5 6 7 8 9 10 11 = 3: 0 1 3 4 5 6 7 8 9 10 = 4: 0 2 3 4 5 6 7 8 9 11 = 6: 0 1 2 3 4 5 6 7 9 10 = 7: 0 1 2 3 4 5 6 8 9 11 = 8: 0 1 2 3 4 5 7 8 10 11 = 9: 0 1 2 3 4 6 7 9 10 11 = 10: 0 1 2 3 5 6 8 9 10 11 = 11: 0 1 2 4 5 7 8 9 10 11 0 1 3 4 7 8 9 10 11 = 0: 0 1 3 4 7 8 9 10 11 = 1: 0 2 3 6 7 8 9 10 11 = 3: 0 1 4 5 6 7 8 9 10 = 4: 0 3 4 5 6 7 8 9 11 = 7: 0 1 2 3 4 5 6 8 9 = 8: 0 1 2 3 4 5 7 8 11 = 9: 0 1 2 3 4 6 7 10 11 = 10: 0 1 2 3 5 6 9 10 11 = 11: 0 1 2 4 5 8 9 10 11 0 1 3 5 6 7 8 9 10 11 = 0: 0 1 3 5 6 7 8 9 10 11 = 1: 0 2 4 5 6 7 8 9 10 11 = 3: 0 2 3 4 5 6 7 8 9 10 = 5: 0 1 2 3 4 5 6 7 8 10 = 6: 0 1 2 3 4 5 6 7 9 11 = 7: 0 1 2 3 4 5 6 8 10 11 = 8: 0 1 2 3 4 5 7 9 10 11 = 9: 0 1 2 3 4 6 8 9 10 11 = 10: 0 1 2 3 5 7 8 9 10 11 = 11: 0 1 2 4 6 7 8 9 10 11 0 1 3 5 7 8 9 10 11 = 0: 0 1 3 5 7 8 9 10 11 = 1: 0 2 4 6 7 8 9 10 11 = 3: 0 2 4 5 6 7 8 9 10 = 5: 0 2 3 4 5 6 7 8 10 = 7: 0 1 2 3 4 5 6 8 10 = 8: 0 1 2 3 4 5 7 9 11 = 9: 0 1 2 3 4 6 8 10 11 = 10: 0 1 2 3 5 7 9 10 11 = 11: 0 1 2 4 6 8 9 10 11 0 1 3 6 7 8 9 10 11 = 0: 0 1 3 6 7 8 9 10 11 = 1: 0 2 5 6 7 8 9 10 11 = 3: 0 3 4 5 6 7 8 9 10 = 6: 0 1 2 3 4 5 6 7 9 = 7: 0 1 2 3 4 5 6 8 11 = 8: 0 1 2 3 4 5 7 10 11 = 9: 0 1 2 3 4 6 9 10 11 = 10: 0 1 2 3 5 8 9 10 11 = 11: 0 1 2 4 7 8 9 10 11 0 1 3 7 8 9 10 11 = 0: 0 1 3 7 8 9 10 11 = 1: 0 2 6 7 8 9 10 11 = 3: 0 4 5 6 7 8 9 10 = 7: 0 1 2 3 4 5 6 8 = 8: 0 1 2 3 4 5 7 11 = 9: 0 1 2 3 4 6 10 11 = 10: 0 1 2 3 5 9 10 11 = 11: 0 1 2 4 8 9 10 11 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 0 1 4 5 7 8 9 10 11 = 0: 0 1 4 5 7 8 9 10 11 = 1: 0 3 4 6 7 8 9 10 11 = 4: 0 1 3 4 5 6 7 8 9 = 5: 0 2 3 4 5 6 7 8 11 = 7: 0 1 2 3 4 5 6 9 10 = 8: 0 1 2 3 4 5 8 9 11 = 9: 0 1 2 3 4 7 8 10 11 = 10: 0 1 2 3 6 7 9 10 11 = 11: 0 1 2 5 6 8 9 10 11 0 1 4 6 7 8 9 10 11 = 0: 0 1 4 6 7 8 9 10 11 = 1: 0 3 5 6 7 8 9 10 11 = 4: 0 2 3 4 5 6 7 8 9 = 6: 0 1 2 3 4 5 6 7 10 = 7: 0 1 2 3 4 5 6 9 11 = 8: 0 1 2 3 4 5 8 10 11 = 9: 0 1 2 3 4 7 9 10 11 = 10: 0 1 2 3 6 8 9 10 11 = 11: 0 1 2 5 7 8 9 10 11 0 1 4 7 8 9 10 11 = 0: 0 1 4 7 8 9 10 11 = 1: 0 3 6 7 8 9 10 11 = 4: 0 3 4 5 6 7 8 9 = 7: 0 1 2 3 4 5 6 9 = 8: 0 1 2 3 4 5 8 11 = 9: 0 1 2 3 4 7 10 11 = 10: 0 1 2 3 6 9 10 11 = 11: 0 1 2 5 8 9 10 11 0 1 5 6 7 8 9 10 11 = 0: 0 1 5 6 7 8 9 10 11 = 1: 0 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 = 6: 0 1 2 3 4 5 6 7 11 = 7: 0 1 2 3 4 5 6 10 11 = 8: 0 1 2 3 4 5 9 10 11 = 9: 0 1 2 3 4 8 9 10 11 = 10: 0 1 2 3 7 8 9 10 11 = 11: 0 1 2 6 7 8 9 10 11 0 1 5 7 8 9 10 11 = 0: 0 1 5 7 8 9 10 11 = 1: 0 4 6 7 8 9 10 11 = 5: 0 2 3 4 5 6 7 8 = 7: 0 1 2 3 4 5 6 10 = 8: 0 1 2 3 4 5 9 11 = 9: 0 1 2 3 4 8 10 11 = 10: 0 1 2 3 7 9 10 11 = 11: 0 1 2 6 8 9 10 11 0 1 6 7 8 9 10 11 = 0: 0 1 6 7 8 9 10 11 = 1: 0 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 = 7: 0 1 2 3 4 5 6 11 = 8: 0 1 2 3 4 5 10 11 = 9: 0 1 2 3 4 9 10 11 = 10: 0 1 2 3 8 9 10 11 = 11: 0 1 2 7 8 9 10 11 0 1 7 8 9 10 11 = 0: 0 1 7 8 9 10 11 = 1: 0 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 = 8: 0 1 2 3 4 5 11 = 9: 0 1 2 3 4 10 11 = 10: 0 1 2 3 9 10 11 = 11: 0 1 2 8 9 10 11 Parallel Subsets Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 6 1 7 1:0 6 1 7 1:0 6 0 8 9 10 11 1 7 7 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 5 7 8 8:0 11 0 1 7 8 1:0 6 7 11 9 10 11 '' 48 0 1 7 8 9 10 11 0 7 0 1 1:0 11 0 1 7 8 1:0 6 7 11 9 10 11 '' 48 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 4 11 8 9 9:0 11 0 1 7 8 9 9:0 3 4 10 11 10 11 8 83 0 1 7 8 9 10 11 0 7 8 0 1 1:0 11 0 1 7 8 9 9:0 3 4 10 11 10 11 8 83 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 4 5 7 8 8:0 11 0 1 7 8 11 1:0 6 7 10 11 9 10 0 95 0 1 7 8 9 10 11 0 7 11 0 1 1:0 11 0 1 7 8 11 1:0 6 7 10 11 9 10 0 95 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 3 10 9 10 10:0 11 0 1 7 8 9 10 9:0 1 3 4 10 11 11 '' 142 0 1 7 8 9 10 11 0 7 9 0 1 1:0 11 0 1 7 8 9 10 9:0 1 3 4 10 11 11 '' 142 0 1 7 8 9 10 11 0 1 4 11 8 9 9:0 11 0 1 7 8 9 10 9:0 1 3 4 10 11 11 8 9 142 0 1 7 8 9 10 11 0 3 10 11 9 10 10:0 11 0 1 7 8 9 10 9:0 1 3 4 10 11 11 8 9 142 0 1 7 8 9 10 11 0 7 8 9 0 1 1:0 11 0 1 7 8 9 10 9:0 1 3 4 10 11 11 8 9 142 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 3 5 7 8 8:0 11 0 1 7 8 10 11 1:0 6 7 9 10 11 9 '' 156 0 1 7 8 9 10 11 0 7 10 0 1 1:0 11 0 1 7 8 10 11 1:0 6 7 9 10 11 9 '' 156 0 1 7 8 9 10 11 0 3 4 5 7 8 8:0 11 0 1 7 8 10 11 1:0 6 7 9 10 11 9 0 11 156 0 1 7 8 9 10 11 0 7 10 11 0 1 1:0 11 0 1 7 8 10 11 1:0 6 7 9 10 11 9 0 11 156 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 4 7 8 9 9:0 10 11 0 1 7 8 9 11 9:0 2 3 4 10 11 10 '' 157 0 1 7 8 9 10 11 0 8 0 1 11 1:0 10 11 0 1 7 8 9 11 9:0 2 3 4 10 11 10 '' 157 0 1 7 8 9 10 11 0 1 4 5 7 8 8:0 11 0 1 7 8 9 11 9:0 2 3 4 10 11 10 0 8 157 0 1 7 8 9 10 11 0 3 4 11 8 9 9:0 11 0 1 7 8 9 11 9:0 2 3 4 10 11 10 0 8 157 0 1 7 8 9 10 11 0 7 8 11 0 1 1:0 11 0 1 7 8 9 11 9:0 2 3 4 10 11 10 0 8 157 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 7 8 9 10 11 0 1 0 7 8 9 10 11 8:0 1 2 3 4 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 2 7 8 9 10 11 7:0 1 2 3 4 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 9 10 11 216 0 1 7 8 9 10 11 0 3 7 8 9 10 9:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 10 216 0 1 7 8 9 10 11 0 9 0 1 10 11 0:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 10 216 0 1 7 8 9 10 11 0 10 0 1 9 10 11 9:0 1 2 3 4 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 9 10 11 216 0 1 7 8 9 10 11 0 11 0 1 8 9 10 11 9:0 1 2 3 4 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 7 8 9 10 11 7:0 1 2 3 4 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 3 7 8 9 10 9:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 11 216 0 1 7 8 9 10 11 0 1 4 7 8 9 9:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 216 0 1 7 8 9 10 11 0 2 3 7 8 9 10 9:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 9 10 11 216 0 1 7 8 9 10 11 0 2 4 7 8 9 9:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 9 11 216 0 1 7 8 9 10 11 0 3 4 7 8 9 9:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 11 216 0 1 7 8 9 10 11 0 1 11 0 8 9 10 11 8:0 1 2 3 4 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 2 11 8 9 10 11 10:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 11 216 0 1 7 8 9 10 11 0 3 11 8 9 10 10:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 216 0 1 7 8 9 10 11 0 10 11 0 1 9 10 11 9:0 1 2 3 4 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 3 7 8 9 10 9:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 4 7 8 9 9:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 11 216 0 1 7 8 9 10 11 0 1 3 4 7 8 9 9:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 2 3 4 7 8 9 9:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 9 10 11 216 0 1 7 8 9 10 11 0 1 3 5 7 8 8:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 216 0 1 7 8 9 10 11 0 2 3 5 7 8 8:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 10 216 0 1 7 8 9 10 11 0 2 4 5 7 8 8:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 216 0 1 7 8 9 10 11 0 1 3 10 9 10 10:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 10 216 0 1 7 8 9 10 11 0 1 3 11 8 9 10 10:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 11 216 0 1 7 8 9 10 11 0 2 3 10 9 10 10:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 216 0 1 7 8 9 10 11 0 2 3 11 8 9 10 10:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 2 4 11 8 9 9:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 216 0 1 7 8 9 10 11 0 1 10 11 0 9 10 11 11:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 2 9 10 10 11 11:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 216 0 1 7 8 9 10 11 0 2 9 11 10 11 11:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 10 216 0 1 7 8 9 10 11 0 2 10 11 9 10 11 11:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 11 216 0 1 7 8 9 10 11 0 7 8 10 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 216 0 1 7 8 9 10 11 0 7 9 10 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 10 216 0 1 7 8 9 10 11 0 7 9 11 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 216 0 1 7 8 9 10 11 0 9 10 11 0 1 10 11 0:0 1 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 3 4 7 8 9 9:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 3 5 7 8 8:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 216 0 1 7 8 9 10 11 0 1 2 4 5 7 8 8:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 216 0 1 7 8 9 10 11 0 1 3 4 5 7 8 8:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 11 216 0 1 7 8 9 10 11 0 1 2 3 10 9 10 10:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 10 11 216 0 1 7 8 9 10 11 0 1 2 3 11 8 9 10 10:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 4 11 8 9 9:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 216 0 1 7 8 9 10 11 0 1 3 4 11 8 9 9:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 216 0 1 7 8 9 10 11 0 2 3 4 11 8 9 9:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 11 216 0 1 7 8 9 10 11 0 1 2 9 10 10 11 11:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 11 216 0 1 7 8 9 10 11 0 1 3 10 11 9 10 10:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 216 0 1 7 8 9 10 11 0 2 3 10 11 9 10 10:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 216 0 1 7 8 9 10 11 0 2 9 10 11 10 11 11:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 216 0 1 7 8 9 10 11 0 7 8 9 10 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 8 9 10 216 0 1 7 8 9 10 11 0 7 8 9 11 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 216 0 1 7 8 9 10 11 0 7 8 10 11 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 11 216 0 1 7 8 9 10 11 0 7 9 10 11 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 10 11 216 0 1 7 8 9 10 11 0 8 9 10 11 0 1 11 1:0 10 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 3 4 5 7 8 8:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 3 4 11 8 9 9:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 1 2 3 10 11 9 10 10:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 0 1 7 8 9 10 11 0 7 8 9 10 11 0 1 1:0 11 0 1 7 8 9 10 11 9:0 1 2 3 4 10 11 '' 0 8 9 10 11 216 Parallel Supersets Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 7 0 1 7 8 9 10 11 5 6 6:0 11 0 1 2 3 4 5 6 7 3:0 1 2 3 4 9 10 11 '' 1 2 3 4 5 6 282 0 1 2 3 4 5 6 7 9 0 1 7 8 9 10 11 5 6 6:0 11 0 1 2 3 4 5 6 7 3:0 1 2 3 4 9 10 11 9 1 2 3 4 5 6 282 0 1 2 3 4 5 6 7 10 0 1 7 8 9 10 11 5 6 6:0 11 0 1 2 3 4 5 6 7 3:0 1 2 3 4 9 10 11 10 1 2 3 4 5 6 282 0 1 2 3 4 5 6 7 9 10 0 1 7 8 9 10 11 5 6 6:0 11 0 1 2 3 4 5 6 7 3:0 1 2 3 4 9 10 11 9 10 1 2 3 4 5 6 282 0 2 3 4 5 6 7 8 9 0 1 7 8 9 10 11 7 8 8:0 11 2 3 4 5 6 7 8 9 5:0 1 2 3 4 9 10 11 0 3 4 5 6 7 8 282 0 2 3 4 5 6 7 8 9 11 0 1 7 8 9 10 11 7 8 8:0 11 2 3 4 5 6 7 8 9 5:0 1 2 3 4 9 10 11 0 11 3 4 5 6 7 8 282 0 3 4 5 6 7 8 9 10 0 1 7 8 9 10 11 8 9 9:0 11 3 4 5 6 7 8 9 10 6:0 1 2 3 4 9 10 11 0 4 5 6 7 8 9 282 0 1 3 4 5 6 7 8 9 10 0 1 7 8 9 10 11 8 9 9:0 11 3 4 5 6 7 8 9 10 6:0 1 2 3 4 9 10 11 0 1 4 5 6 7 8 9 282 0 1 2 3 4 5 6 8 9 11 0 1 7 8 9 10 11 4 5 5:0 11 0 1 2 3 4 5 6 11 2:0 1 2 3 4 9 10 11 8 9 0 1 2 3 4 5 282 0 1 2 3 4 5 7 10 11 0 1 7 8 9 10 11 3 4 4:0 11 0 1 2 3 4 5 10 11 1:0 1 2 3 4 9 10 11 7 0 1 2 3 4 11 282 0 1 2 3 4 5 7 8 10 11 0 1 7 8 9 10 11 3 4 4:0 11 0 1 2 3 4 5 10 11 1:0 1 2 3 4 9 10 11 7 8 0 1 2 3 4 11 282 0 1 2 3 4 9 10 11 0 1 7 8 9 10 11 2 3 3:0 11 0 1 2 3 4 9 10 11 0:0 1 2 3 4 9 10 11 '' 0 1 2 3 10 11 282 0 1 2 3 4 7 9 10 11 0 1 7 8 9 10 11 2 3 3:0 11 0 1 2 3 4 9 10 11 0:0 1 2 3 4 9 10 11 7 0 1 2 3 10 11 282 0 1 2 3 4 6 7 9 10 11 0 1 7 8 9 10 11 2 3 3:0 11 0 1 2 3 4 9 10 11 0:0 1 2 3 4 9 10 11 6 7 0 1 2 3 10 11 282 0 1 2 3 5 6 8 9 10 11 0 1 7 8 9 10 11 1 2 2:0 11 0 1 2 3 8 9 10 11 11:0 1 2 3 4 9 10 11 5 6 0 1 2 9 10 11 282 0 1 2 7 8 9 10 11 0 1 7 8 9 10 11 0 1 1:0 11 0 1 2 7 8 9 10 11 10:0 1 2 3 4 9 10 11 '' 0 1 8 9 10 11 282 0 1 2 5 7 8 9 10 11 0 1 7 8 9 10 11 0 1 1:0 11 0 1 2 7 8 9 10 11 10:0 1 2 3 4 9 10 11 5 0 1 8 9 10 11 282 0 1 2 4 7 8 9 10 11 0 1 7 8 9 10 11 0 1 1:0 11 0 1 2 7 8 9 10 11 10:0 1 2 3 4 9 10 11 4 0 1 8 9 10 11 282 0 1 2 4 5 7 8 9 10 11 0 1 7 8 9 10 11 0 1 1:0 11 0 1 2 7 8 9 10 11 10:0 1 2 3 4 9 10 11 4 5 0 1 8 9 10 11 282 0 1 6 7 8 9 10 11 0 1 7 8 9 10 11 0 11 0:0 11 0 1 6 7 8 9 10 11 9:0 1 2 3 4 9 10 11 '' 0 7 8 9 10 11 282 0 1 3 6 7 8 9 10 11 0 1 7 8 9 10 11 0 11 0:0 11 0 1 6 7 8 9 10 11 9:0 1 2 3 4 9 10 11 3 0 7 8 9 10 11 282 0 1 4 6 7 8 9 10 11 0 1 7 8 9 10 11 0 11 0:0 11 0 1 6 7 8 9 10 11 9:0 1 2 3 4 9 10 11 4 0 7 8 9 10 11 282 0 1 3 4 6 7 8 9 10 11 0 1 7 8 9 10 11 0 11 0:0 11 0 1 6 7 8 9 10 11 9:0 1 2 3 4 9 10 11 3 4 0 7 8 9 10 11 282 0 3 5 6 7 8 9 10 11 0 1 7 8 9 10 11 10 11 11:0 11 0 5 6 7 8 9 10 11 8:0 1 2 3 4 9 10 11 3 6 7 8 9 10 11 282 0 2 3 5 6 7 8 9 10 11 0 1 7 8 9 10 11 10 11 11:0 11 0 5 6 7 8 9 10 11 8:0 1 2 3 4 9 10 11 2 3 6 7 8 9 10 11 282 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 7 8 0 1 7 8 9 10 11 5 6 7 7:0 10 11 0 1 2 3 4 5 6 7 8 1:0 1 2 3 4 5 6 7 11 '' 1 2 3 4 5 6 7 325 0 1 2 3 4 5 6 7 8 10 0 1 7 8 9 10 11 5 6 7 7:0 10 11 0 1 2 3 4 5 6 7 8 1:0 1 2 3 4 5 6 7 11 10 1 2 3 4 5 6 7 325 0 2 3 4 5 6 7 8 9 10 0 1 7 8 9 10 11 7 8 9 9:0 10 11 2 3 4 5 6 7 8 9 10 3:0 1 2 3 4 5 6 7 11 0 3 4 5 6 7 8 9 325 0 1 2 3 4 5 6 7 11 0 1 7 8 9 10 11 4 5 6 6:0 10 11 0 1 2 3 4 5 6 7 11 0:0 1 2 3 4 5 6 7 11 '' 0 1 2 3 4 5 6 325 0 1 2 3 4 5 6 7 9 11 0 1 7 8 9 10 11 4 5 6 6:0 10 11 0 1 2 3 4 5 6 7 11 0:0 1 2 3 4 5 6 7 11 9 0 1 2 3 4 5 6 325 0 1 2 3 4 5 6 8 10 11 0 1 7 8 9 10 11 3 4 5 5:0 10 11 0 1 2 3 4 5 6 10 11 11:0 1 2 3 4 5 6 7 11 8 0 1 2 3 4 5 11 325 0 1 2 3 4 5 7 9 10 11 0 1 7 8 9 10 11 2 3 4 4:0 10 11 0 1 2 3 4 5 9 10 11 10:0 1 2 3 4 5 6 7 11 7 0 1 2 3 4 10 11 325 0 1 2 3 4 6 8 9 10 11 0 1 7 8 9 10 11 1 2 3 3:0 10 11 0 1 2 3 4 8 9 10 11 9:0 1 2 3 4 5 6 7 11 6 0 1 2 3 9 10 11 325 0 1 2 3 7 8 9 10 11 0 1 7 8 9 10 11 0 1 2 2:0 10 11 0 1 2 3 7 8 9 10 11 8:0 1 2 3 4 5 6 7 11 '' 0 1 2 8 9 10 11 325 0 1 2 3 5 7 8 9 10 11 0 1 7 8 9 10 11 0 1 2 2:0 10 11 0 1 2 3 7 8 9 10 11 8:0 1 2 3 4 5 6 7 11 5 0 1 2 8 9 10 11 325 0 1 2 6 7 8 9 10 11 0 1 7 8 9 10 11 0 1 11 1:0 10 11 0 1 2 6 7 8 9 10 11 7:0 1 2 3 4 5 6 7 11 '' 0 1 7 8 9 10 11 325 0 1 2 4 6 7 8 9 10 11 0 1 7 8 9 10 11 0 1 11 1:0 10 11 0 1 2 6 7 8 9 10 11 7:0 1 2 3 4 5 6 7 11 4 0 1 7 8 9 10 11 325 0 1 3 5 6 7 8 9 10 11 0 1 7 8 9 10 11 0 10 11 0:0 10 11 0 1 5 6 7 8 9 10 11 6:0 1 2 3 4 5 6 7 11 3 0 6 7 8 9 10 11 325 0 4 5 6 7 8 9 10 11 0 1 7 8 9 10 11 9 10 11 11:0 10 11 0 4 5 6 7 8 9 10 11 5:0 1 2 3 4 5 6 7 11 '' 5 6 7 8 9 10 11 325 0 2 4 5 6 7 8 9 10 11 0 1 7 8 9 10 11 9 10 11 11:0 10 11 0 4 5 6 7 8 9 10 11 5:0 1 2 3 4 5 6 7 11 2 5 6 7 8 9 10 11 325 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 7 8 9 0 1 7 8 9 10 11 5 6 7 8 7:0 1 10 11 0 1 2 3 4 5 6 7 8 9 5:0 1 2 3 4 7 8 9 10 11 '' 1 2 3 4 5 6 7 8 344 0 1 2 3 4 5 6 7 8 11 0 1 7 8 9 10 11 4 5 6 7 6:0 1 10 11 0 1 2 3 4 5 6 7 8 11 4:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 3 4 5 6 7 344 0 1 2 3 4 5 6 7 10 11 0 1 7 8 9 10 11 3 4 5 6 5:0 1 10 11 0 1 2 3 4 5 6 7 10 11 3:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 3 4 5 6 11 344 0 1 2 3 4 5 6 9 10 11 0 1 7 8 9 10 11 2 3 4 5 4:0 1 10 11 0 1 2 3 4 5 6 9 10 11 2:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 3 4 5 10 11 344 0 1 2 3 4 5 8 9 10 11 0 1 7 8 9 10 11 1 2 3 4 3:0 1 10 11 0 1 2 3 4 5 8 9 10 11 1:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 3 4 9 10 11 344 0 1 2 3 4 7 8 9 10 11 0 1 7 8 9 10 11 0 1 2 3 2:0 1 10 11 0 1 2 3 4 7 8 9 10 11 0:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 3 8 9 10 11 344 0 1 2 3 6 7 8 9 10 11 0 1 7 8 9 10 11 0 1 2 11 1:0 1 10 11 0 1 2 3 6 7 8 9 10 11 11:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 7 8 9 10 11 344 0 1 2 5 6 7 8 9 10 11 0 1 7 8 9 10 11 0 1 10 11 0:0 1 10 11 0 1 2 5 6 7 8 9 10 11 10:0 1 2 3 4 7 8 9 10 11 '' 0 1 6 7 8 9 10 11 344 0 1 4 5 6 7 8 9 10 11 0 1 7 8 9 10 11 0 9 10 11 11:0 1 10 11 0 1 4 5 6 7 8 9 10 11 9:0 1 2 3 4 7 8 9 10 11 '' 0 5 6 7 8 9 10 11 344 0 3 4 5 6 7 8 9 10 11 0 1 7 8 9 10 11 8 9 10 11 10:0 1 10 11 0 3 4 5 6 7 8 9 10 11 8:0 1 2 3 4 7 8 9 10 11 '' 4 5 6 7 8 9 10 11 344 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 7 8 9 10 0 1 7 8 9 10 11 5 6 7 8 9 5:0 1 2 3 4 0 1 2 3 4 5 6 7 8 9 10 3:0 1 2 3 4 5 6 7 9 10 11 '' 1 2 3 4 5 6 7 8 9 350 0 1 2 3 4 5 6 7 8 9 11 0 1 7 8 9 10 11 4 5 6 7 8 4:0 1 2 3 4 0 1 2 3 4 5 6 7 8 9 11 2:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 7 8 350 0 1 2 3 4 5 6 7 8 10 11 0 1 7 8 9 10 11 3 4 5 6 7 3:0 1 2 3 4 0 1 2 3 4 5 6 7 8 10 11 1:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 7 11 350 0 1 2 3 4 5 6 7 9 10 11 0 1 7 8 9 10 11 2 3 4 5 6 2:0 1 2 3 4 0 1 2 3 4 5 6 7 9 10 11 0:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 10 11 350 0 1 2 3 4 5 6 8 9 10 11 0 1 7 8 9 10 11 1 2 3 4 5 1:0 1 2 3 4 0 1 2 3 4 5 6 8 9 10 11 11:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 9 10 11 350 0 1 2 3 4 5 7 8 9 10 11 0 1 7 8 9 10 11 0 1 2 3 4 0:0 1 2 3 4 0 1 2 3 4 5 7 8 9 10 11 10:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 8 9 10 11 350 0 1 2 3 4 6 7 8 9 10 11 0 1 7 8 9 10 11 0 1 2 3 11 11:0 1 2 3 4 0 1 2 3 4 6 7 8 9 10 11 9:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 7 8 9 10 11 350 0 1 2 3 5 6 7 8 9 10 11 0 1 7 8 9 10 11 0 1 2 10 11 10:0 1 2 3 4 0 1 2 3 5 6 7 8 9 10 11 8:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 6 7 8 9 10 11 350 0 1 2 4 5 6 7 8 9 10 11 0 1 7 8 9 10 11 0 1 9 10 11 9:0 1 2 3 4 0 1 2 4 5 6 7 8 9 10 11 7:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 5 6 7 8 9 10 11 350 0 1 3 4 5 6 7 8 9 10 11 0 1 7 8 9 10 11 0 8 9 10 11 8:0 1 2 3 4 0 1 3 4 5 6 7 8 9 10 11 6:0 1 2 3 4 5 6 7 9 10 11 '' 0 4 5 6 7 8 9 10 11 350 0 2 3 4 5 6 7 8 9 10 11 0 1 7 8 9 10 11 7 8 9 10 11 7:0 1 2 3 4 0 2 3 4 5 6 7 8 9 10 11 5:0 1 2 3 4 5 6 7 9 10 11 '' 3 4 5 6 7 8 9 10 11 350 Copyright © 2020–2022 Stanley Jordan Modal Systems Home Page Standard Chord Types Index Collapsible Chord Types Index

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

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

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

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

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

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

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

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

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

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

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

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

chromatic trichord (Scale Degrees: 122)
0 1 2 = 1st 3 chromatics	\|	7 8 9 10 11 = 7: 0 1 2 3 4 = 8: 0 1 2 3 11 = 9: 0 1 2 10 11 = 10: 0 1 9 10 11 = 11: 0 8 9 10 11

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11
0 1 4	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11
0 2 3 = min. trichord	\|	7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11
0 2 4 = maj. trichord	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11
0 3 4	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11

Sus2 triads (Scale Degrees: 125)
0 1 7	\|	0 = 0: 0

Root with upper and lower neighbors (Scale Degrees: 127)
0 1 11 = root & chr. neighbors	\|	0 8 9 10 11 = 0: 0 8 9 10 11 = 8: 0 1 2 3 4 = 9: 0 1 2 3 11 = 10: 0 1 2 10 11 = 11: 0 1 9 10 11
0 2 11	\|	8 9 10 11 = 8: 0 1 2 3 = 9: 0 1 2 11 = 10: 0 1 10 11 = 11: 0 9 10 11

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

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	7 = 7: 0
0 4 6 = Mb5	\|	7 = 7: 0

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	10 = 10: 0

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	9 10 = 9: 0 1 = 10: 0 11
0 3 11 = mM7 no 5th	\|	8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11
0 4 10 = 7 no 5th	\|	9 = 9: 0
0 4 11 = M7 no 5th	\|	8 9 = 8: 0 1 = 9: 0 11

Sus4 Triads (Scale Degrees: 145)
0 6 7 = sus#4, Viennese trichord	\|	1 = 1: 0

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	0 1 = 0: 0 1 = 1: 0 11
0 7 9	\|	0 1 = 0: 0 1 = 1: 0 11

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

Scale Degrees: 167
0 10 11	\|	0 1 9 10 11 = 0: 0 1 9 10 11 = 1: 0 8 9 10 11 = 9: 0 1 2 3 4 = 10: 0 1 2 3 11 = 11: 0 1 2 10 11

chromatic tetrachord (Scale Degrees: 1223)
0 1 2 3 = chromatic tetrachord	\|	7 8 9 10 = 7: 0 1 2 3 = 8: 0 1 2 11 = 9: 0 1 10 11 = 10: 0 9 10 11
0 1 2 4	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11
0 1 3 4 = 1st 4 aux dim.	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11
0 2 3 4	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11

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

Add 9 Chords (Scale Degrees: 1235)
0 1 3 6 = dim. add b9	\|	7 = 7: 0
0 2 3 6 = dim. add 9	\|	7 = 7: 0
0 3 4 6 = Mb5 add #9	\|	7 = 7: 0

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

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

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

13th chords no 3rd no 5th no 11th (Scale Degrees: 1267)
0 1 10 11	\|	0 9 10 11 = 0: 0 9 10 11 = 9: 0 1 2 3 = 10: 0 1 2 11 = 11: 0 1 10 11
0 2 9 10	\|	10 11 = 10: 0 1 = 11: 0 11
0 2 9 11	\|	10 11 = 10: 0 1 = 11: 0 11
0 2 10 11	\|	9 10 11 = 9: 0 1 2 = 10: 0 1 11 = 11: 0 10 11

Add 11 Chords (Scale Degrees: 1345)
0 3 5 6 = blues tetrachord	\|	7 = 7: 0
0 4 5 6 = Mb5 add 11	\|	7 = 7: 0

11th chords no 5th no 9th (Scale Degrees: 1347)
0 3 5 11 = all-int	\|	8 = 8: 0
0 4 5 11	\|	8 = 8: 0

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 10 = m7/6 no 5th	\|	10 = 10: 0
0 3 9 11 = mM7/6 no 5th	\|	10 = 10: 0
0 3 10 11 = mM7#6 no 5th	\|	9 10 = 9: 0 1 = 10: 0 11
0 4 10 11 = M7/#6 no 5th	\|	9 = 9: 0

Scale Degrees: 1456
0 6 7 8	\|	1 = 1: 0
0 6 7 9	\|	1 = 1: 0

Sus 4 7th Chords (Scale Degrees: 1457)
0 6 7 10 = 7sus#4, all-int	\|	1 = 1: 0
0 6 7 11 = M7sus#4	\|	1 = 1: 0

Scale Degrees: 1566
0 7 8 9	\|	0 1 = 0: 0 1 = 1: 0 11

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

Scale Degrees: 1667
0 9 10 11	\|	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 pentachord (Scale Degrees: 12233)
0 1 2 3 4 = 1st 5 chromatics	\|	7 8 9 = 7: 0 1 2 = 8: 0 1 11 = 9: 0 10 11

Scale Degrees: 12234
0 1 2 3 5	\|	7 8 = 7: 0 1 = 8: 0 11
0 1 2 3 6	\|	7 = 7: 0
0 1 2 4 5	\|	7 8 = 7: 0 1 = 8: 0 11
0 1 2 4 6	\|	7 = 7: 0
0 1 3 4 5	\|	7 8 = 7: 0 1 = 8: 0 11
0 1 3 4 6 = auxdim. pentachord	\|	7 = 7: 0
0 2 3 4 6	\|	7 = 7: 0

Scale Degrees: 12237
0 1 2 3 10	\|	9 10 = 9: 0 1 = 10: 0 11
0 1 2 3 11	\|	8 9 10 = 8: 0 1 2 = 9: 0 1 11 = 10: 0 10 11
0 1 2 4 10	\|	9 = 9: 0
0 1 2 4 11	\|	8 9 = 8: 0 1 = 9: 0 11
0 1 3 4 10	\|	9 = 9: 0
0 1 3 4 11	\|	8 9 = 8: 0 1 = 9: 0 11
0 2 3 4 10	\|	9 = 9: 0
0 2 3 4 11	\|	8 9 = 8: 0 1 = 9: 0 11

Scale Degrees: 12267
0 1 2 9 10	\|	10 11 = 10: 0 1 = 11: 0 11

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

11th chords no 5th (Scale Degrees: 12347)
0 1 4 5 11	\|	8 = 8: 0
0 3 4 5 11	\|	8 = 8: 0

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

Scale Degrees: 12566
0 1 7 8 9	\|	0 = 0: 0

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

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

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

Scale Degrees: 14566
0 6 7 8 9	\|	1 = 1: 0

13th chords no 3rd no 9th (Scale Degrees: 14567)
0 6 7 8 10	\|	1 = 1: 0
0 6 7 8 11	\|	1 = 1: 0
0 6 7 9 10	\|	1 = 1: 0
0 6 7 9 11	\|	1 = 1: 0
0 6 7 10 11	\|	1 = 1: 0

Scale Degrees: 15667
0 7 8 9 10	\|	0 1 = 0: 0 1 = 1: 0 11
0 7 8 9 11	\|	0 1 = 0: 0 1 = 1: 0 11
0 7 8 10 11	\|	0 1 = 0: 0 1 = 1: 0 11
0 7 9 10 11	\|	0 1 = 0: 0 1 = 1: 0 11

Scale Degrees: 16677
0 8 9 10 11	\|	0 1 11 = 0: 0 1 11 = 1: 0 10 11 = 11: 0 1 2

chromatic hexachord (Scale Degrees: 122334)
0 1 2 3 4 5 = 1st 6 chromatics, type A ACH	\|	7 8 = 7: 0 1 = 8: 0 11

Scale Degrees: 122335
0 1 2 3 4 6	\|	7 = 7: 0

Scale Degrees: 122337
0 1 2 3 4 10	\|	9 = 9: 0
0 1 2 3 4 11	\|	8 9 = 8: 0 1 = 9: 0 11

Scale Degrees: 122345
0 1 2 3 5 6	\|	7 = 7: 0
0 1 2 4 5 6	\|	7 = 7: 0

Scale Degrees: 122347
0 1 2 3 5 11	\|	8 = 8: 0
0 1 2 4 5 11	\|	8 = 8: 0
0 2 3 4 5 11	\|	8 = 8: 0

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

Scale Degrees: 123667
0 1 3 9 10 11	\|	10 = 10: 0
0 2 3 9 10 11	\|	10 = 10: 0

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

Scale Degrees: 145667
0 6 7 8 9 10	\|	1 = 1: 0
0 6 7 8 9 11	\|	1 = 1: 0
0 6 7 8 10 11	\|	1 = 1: 0
0 6 7 9 10 11	\|	1 = 1: 0

Scale Degrees: 156677
0 7 8 9 10 11	\|	0 1 = 0: 0 1 = 1: 0 11

chromatic septachord (Scale Degrees: 1223345)
0 1 2 3 4 5 6 = 1st 7 chromatics	\|	7 = 7: 0

Scale Degrees: 1223367
0 1 2 3 4 10 11	\|	9 = 9: 0

Scale Degrees: 1256677
0 1 7 8 9 10 11	\|	0 = 0: 0

Scale Degrees: 1456677
0 6 7 8 9 10 11	\|	1 = 1: 0

Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 6	1 7	1:0 6	1 7	1:0 6	0 8 9 10 11	1 7	7
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 5	7 8	8:0 11	0 1 7 8	1:0 6 7 11	9 10 11	''	48
0 1 7 8 9 10 11	0 7	0 1	1:0 11	0 1 7 8	1:0 6 7 11	9 10 11	''	48
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 4 11	8 9	9:0 11	0 1 7 8 9	9:0 3 4 10 11	10 11	8	83
0 1 7 8 9 10 11	0 7 8	0 1	1:0 11	0 1 7 8 9	9:0 3 4 10 11	10 11	8	83
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 4 5	7 8	8:0 11	0 1 7 8 11	1:0 6 7 10 11	9 10	0	95
0 1 7 8 9 10 11	0 7 11	0 1	1:0 11	0 1 7 8 11	1:0 6 7 10 11	9 10	0	95
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 3 10	9 10	10:0 11	0 1 7 8 9 10	9:0 1 3 4 10 11	11	''	142
0 1 7 8 9 10 11	0 7 9	0 1	1:0 11	0 1 7 8 9 10	9:0 1 3 4 10 11	11	''	142
0 1 7 8 9 10 11	0 1 4 11	8 9	9:0 11	0 1 7 8 9 10	9:0 1 3 4 10 11	11	8 9	142
0 1 7 8 9 10 11	0 3 10 11	9 10	10:0 11	0 1 7 8 9 10	9:0 1 3 4 10 11	11	8 9	142
0 1 7 8 9 10 11	0 7 8 9	0 1	1:0 11	0 1 7 8 9 10	9:0 1 3 4 10 11	11	8 9	142
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 3 5	7 8	8:0 11	0 1 7 8 10 11	1:0 6 7 9 10 11	9	''	156
0 1 7 8 9 10 11	0 7 10	0 1	1:0 11	0 1 7 8 10 11	1:0 6 7 9 10 11	9	''	156
0 1 7 8 9 10 11	0 3 4 5	7 8	8:0 11	0 1 7 8 10 11	1:0 6 7 9 10 11	9	0 11	156
0 1 7 8 9 10 11	0 7 10 11	0 1	1:0 11	0 1 7 8 10 11	1:0 6 7 9 10 11	9	0 11	156
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 4	7 8 9	9:0 10 11	0 1 7 8 9 11	9:0 2 3 4 10 11	10	''	157
0 1 7 8 9 10 11	0 8	0 1 11	1:0 10 11	0 1 7 8 9 11	9:0 2 3 4 10 11	10	''	157
0 1 7 8 9 10 11	0 1 4 5	7 8	8:0 11	0 1 7 8 9 11	9:0 2 3 4 10 11	10	0 8	157
0 1 7 8 9 10 11	0 3 4 11	8 9	9:0 11	0 1 7 8 9 11	9:0 2 3 4 10 11	10	0 8	157
0 1 7 8 9 10 11	0 7 8 11	0 1	1:0 11	0 1 7 8 9 11	9:0 2 3 4 10 11	10	0 8	157
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 1 7 8 9 10 11	0 1	0 7 8 9 10 11	8:0 1 2 3 4 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 2	7 8 9 10 11	7:0 1 2 3 4	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	9 10 11	216
0 1 7 8 9 10 11	0 3	7 8 9 10	9:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	10	216
0 1 7 8 9 10 11	0 9	0 1 10 11	0:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	10	216
0 1 7 8 9 10 11	0 10	0 1 9 10 11	9:0 1 2 3 4	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	9 10 11	216
0 1 7 8 9 10 11	0 11	0 1 8 9 10 11	9:0 1 2 3 4 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2	7 8 9 10 11	7:0 1 2 3 4	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 3	7 8 9 10	9:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10 11	216
0 1 7 8 9 10 11	0 1 4	7 8 9	9:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9	216
0 1 7 8 9 10 11	0 2 3	7 8 9 10	9:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 9 10 11	216
0 1 7 8 9 10 11	0 2 4	7 8 9	9:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	9 11	216
0 1 7 8 9 10 11	0 3 4	7 8 9	9:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 11	216
0 1 7 8 9 10 11	0 1 11	0 8 9 10 11	8:0 1 2 3 4	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 2 11	8 9 10 11	10:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10 11	216
0 1 7 8 9 10 11	0 3 11	8 9 10	10:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9	216
0 1 7 8 9 10 11	0 10 11	0 1 9 10 11	9:0 1 2 3 4	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 3	7 8 9 10	9:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 4	7 8 9	9:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10 11	216
0 1 7 8 9 10 11	0 1 3 4	7 8 9	9:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 2 3 4	7 8 9	9:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 9 10 11	216
0 1 7 8 9 10 11	0 1 3 5	7 8	8:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8	216
0 1 7 8 9 10 11	0 2 3 5	7 8	8:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	10	216
0 1 7 8 9 10 11	0 2 4 5	7 8	8:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0	216
0 1 7 8 9 10 11	0 1 3 10	9 10	10:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	10	216
0 1 7 8 9 10 11	0 1 3 11	8 9 10	10:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10 11	216
0 1 7 8 9 10 11	0 2 3 10	9 10	10:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0	216
0 1 7 8 9 10 11	0 2 3 11	8 9 10	10:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 2 4 11	8 9	9:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8	216
0 1 7 8 9 10 11	0 1 10 11	0 9 10 11	11:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 2 9 10	10 11	11:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8	216
0 1 7 8 9 10 11	0 2 9 11	10 11	11:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	10	216
0 1 7 8 9 10 11	0 2 10 11	9 10 11	11:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10 11	216
0 1 7 8 9 10 11	0 7 8 10	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8	216
0 1 7 8 9 10 11	0 7 9 10	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	10	216
0 1 7 8 9 10 11	0 7 9 11	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0	216
0 1 7 8 9 10 11	0 9 10 11	0 1 10 11	0:0 1 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 3 4	7 8 9	9:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 3 5	7 8	8:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10	216
0 1 7 8 9 10 11	0 1 2 4 5	7 8	8:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9	216
0 1 7 8 9 10 11	0 1 3 4 5	7 8	8:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 11	216
0 1 7 8 9 10 11	0 1 2 3 10	9 10	10:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 10 11	216
0 1 7 8 9 10 11	0 1 2 3 11	8 9 10	10:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 4 11	8 9	9:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10	216
0 1 7 8 9 10 11	0 1 3 4 11	8 9	9:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9	216
0 1 7 8 9 10 11	0 2 3 4 11	8 9	9:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 11	216
0 1 7 8 9 10 11	0 1 2 9 10	10 11	11:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 11	216
0 1 7 8 9 10 11	0 1 3 10 11	9 10	10:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10	216
0 1 7 8 9 10 11	0 2 3 10 11	9 10	10:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9	216
0 1 7 8 9 10 11	0 2 9 10 11	10 11	11:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10	216
0 1 7 8 9 10 11	0 7 8 9 10	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	8 9 10	216
0 1 7 8 9 10 11	0 7 8 9 11	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9	216
0 1 7 8 9 10 11	0 7 8 10 11	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 11	216
0 1 7 8 9 10 11	0 7 9 10 11	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 10 11	216
0 1 7 8 9 10 11	0 8 9 10 11	0 1 11	1:0 10 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 3 4 5	7 8	8:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 3 4 11	8 9	9:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 1 2 3 10 11	9 10	10:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216
0 1 7 8 9 10 11	0 7 8 9 10 11	0 1	1:0 11	0 1 7 8 9 10 11	9:0 1 2 3 4 10 11	''	0 8 9 10 11	216