Chord Type: 0 3 7 9 11

0 3 7 9 11 = mM7/6

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Chord Type: 0 3 7 9 11

Chord Type Fun Facts 0 3 7 9 11 Subset of Melodic Minor (0 2 3 5 7 9 11) Modal System Fun Facts 0 1 4 8 10 Subset of Harmonic Minor Modal System Subset of Melodic Minor Modal System Subset of Dorian Blues Scale Subset of Harmonic Major Modal System General Statistics Cardinality: 5 Jordan Number: 5-56 Forte Number: 5-26 Forte Prime Form: [0,2,4,5,8] Zeitler Scale Name: Katagitonic Ian Ring's Scale Page 2697 Root Reference: 0 3 7 9 11 Tone Stacking: 0 3 4 2 2 Interval Stacking: 3 4 2 2 1 Binary: 1 0 0 1 0 0 0 1 0 1 0 1 Decimal Value: 2697 Interval Vector: 1 2 2 3 1 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.417 Harmonic Adjacency (0-1): 0.417 Modal-system-invariant under multiplication by: 1 5 Modal System Balanced: no Diachromatic Family: 7/6 Chords (Scale Degrees: 13567) 0 3 6 10 11 = mM7b5#6 0 3 7 8 10 = m7/b6 0 3 7 8 11 = mM7/b6 0 3 7 9 10 = m7/6 ->0 3 7 9 11 = mM7/6 0 3 7 10 11 = mM7/#6 0 4 6 10 11 = M7b5/#6 0 4 7 8 10 = 7/b6 0 4 7 8 11 = M7/b6 0 4 7 9 10 = 7/6, boogie woogie 0 4 7 9 11 = M7/6 0 4 7 10 11 = M7#6 0 4 8 9 10 = 7#5/6 0 4 8 10 11 = M7#5/#6 All Transpositions of Chord Type: +0= 0 3 7 9 11 |mM7/6 +1= 0 1 4 8 10 |7#5b9 +2= 1 2 5 9 11 | +3= 0 2 3 6 10 |m9b5 +4= 1 3 4 7 11 | +5= 0 2 4 5 8 | +6= 1 3 5 6 9 | +7= 2 4 6 7 10 | +8= 3 5 7 8 11 | +9= 0 4 6 8 9 | +10= 1 5 7 9 10 | +11= 2 6 8 10 11 | Modes of Chord Type: (mode 0) 0: 0 3 7 9 11 | mM7/6 (mode 1) 3: 0 4 6 8 9 | (mode 2) 7: 0 2 4 5 8 | (mode 3) 9: 0 2 3 6 10 | m9b5 (mode 4) 11: 0 1 4 8 10 | 7#5b9 Modes of Chord Type Sorted by Rootedness: 1.550(mode 0)0:0 3 7 9 11 |mM7/6 .925(mode 4)11:0 1 4 8 10 |7#5b9 .817(mode 3)9:0 2 3 6 10 |m9b5 .617(mode 1)3:0 4 6 8 9 | .392(mode 2)7:0 2 4 5 8 | Inversion at 0: 0 1 3 5 9 (mode 0) 0: 0 1 3 5 9 | (mode 1) 1: 0 2 4 8 11 | M9#5 (mode 2) 3: 0 2 6 9 10 | (mode 3) 5: 0 4 7 8 10 | 7/b6 (mode 4) 9: 0 3 4 6 8 | Times 7: 0 1 3 5 9 (mode 0) 0: 0 1 3 5 9 | (mode 1) 1: 0 2 4 8 11 | M9#5 (mode 2) 3: 0 2 6 9 10 | (mode 3) 5: 0 4 7 8 10 | 7/b6 (mode 4) 9: 0 3 4 6 8 | Times 5: 0 3 7 9 11 (mode 0) 0: 0 3 7 9 11 | mM7/6 (mode 1) 3: 0 4 6 8 9 | (mode 2) 7: 0 2 4 5 8 | (mode 3) 9: 0 2 3 6 10 | m9b5 (mode 4) 11: 0 1 4 8 10 | 7#5b9 Modal System: 0 1 4 8 10 from root(s) 11 | "m9b5 modal system = 7#5b9 modal system = mM7/6 modal system" Modes of Modal System: (mode 0) 0: 0 1 4 8 10 | 7#5b9 (mode 1) 1: 0 3 7 9 11 | mM7/6 (mode 2) 4: 0 4 6 8 9 | (mode 3) 8: 0 2 4 5 8 | (mode 4) 10: 0 2 3 6 10 | m9b5 Complement: 1 2 4 5 6 8 10 (mode 0) 1: 0 1 3 4 5 7 9 | (mode 1) 2: 0 2 3 4 6 8 11 | (mode 2) 4: 0 1 2 4 6 9 10 | (mode 3) 5: 0 1 3 5 8 9 11 | mM13#5b9 (mode 4) 6: 0 2 4 7 8 10 11 | (mode 5) 8: 0 2 5 6 8 9 10 | (mode 6) 10: 0 3 4 6 7 8 10 | mb13b5#9 = mela 68 Jyoti swarupini All but the root (subchroma complement of 0): 3 7 9 11 (mode 0) 3: 0 4 6 8 | (mode 1) 7: 0 2 4 8 | (mode 2) 9: 0 2 6 10 | (mode 3) 11: 0 4 8 10 | 7#5 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: N/A Dechromaticised but Keep 0 N/A Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 N/A 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: (mode 0) 0: 0 3 7 8 9 11 | (mode 1) 3: 0 4 5 6 8 9 | (mode 2) 7: 0 1 2 4 5 8 | (mode 3) 8: 0 1 3 4 7 11 | (mode 4) 9: 0 2 3 6 10 11 | (mode 5) 11: 0 1 4 8 9 10 | (mode 0) 0: 0 3 4 5 6 7 9 11 | (mode 1) 3: 0 1 2 3 4 6 8 9 | (mode 2) 4: 0 1 2 3 5 7 8 11 | (mode 3) 5: 0 1 2 4 6 7 10 11 | (mode 4) 6: 0 1 3 5 6 9 10 11 | (mode 5) 7: 0 2 4 5 8 9 10 11 | (mode 6) 9: 0 2 3 6 7 8 9 10 | mela 55 Syamalangi (mode 7) 11: 0 1 4 5 6 7 8 10 | chromaticized keep 0: (mode 0) 0: 0 3 7 9 10 11 | (mode 1) 3: 0 4 6 7 8 9 | (mode 2) 7: 0 2 3 4 5 8 | (mode 3) 9: 0 1 2 3 6 10 | (mode 4) 10: 0 1 2 5 9 11 | (mode 5) 11: 0 1 4 8 10 11 | M#13#5b9 no 11th (mode 0) 0: 0 3 7 8 9 11 | (mode 1) 3: 0 4 5 6 8 9 | (mode 2) 7: 0 1 2 4 5 8 | (mode 3) 8: 0 1 3 4 7 11 | (mode 4) 9: 0 2 3 6 10 11 | (mode 5) 11: 0 1 4 8 9 10 | (mode 0) 0: 0 1 2 3 7 9 11 | (mode 1) 1: 0 1 2 6 8 10 11 | (mode 2) 2: 0 1 5 7 9 10 11 | (mode 3) 3: 0 4 6 8 9 10 11 | (mode 4) 7: 0 2 4 5 6 7 8 | (mode 5) 9: 0 2 3 4 5 6 10 | (mode 6) 11: 0 1 2 3 4 8 10 | (mode 0) 0: 0 1 2 3 7 8 9 11 | (mode 1) 1: 0 1 2 6 7 8 10 11 | (mode 2) 2: 0 1 5 6 7 9 10 11 | (mode 3) 3: 0 4 5 6 8 9 10 11 | (mode 4) 7: 0 1 2 4 5 6 7 8 | (mode 5) 8: 0 1 3 4 5 6 7 11 | (mode 6) 9: 0 2 3 4 5 6 10 11 | (mode 7) 11: 0 1 2 3 4 8 9 10 | (mode 0) 0: 0 3 4 5 6 7 9 11 | (mode 1) 3: 0 1 2 3 4 6 8 9 | (mode 2) 4: 0 1 2 3 5 7 8 11 | (mode 3) 5: 0 1 2 4 6 7 10 11 | (mode 4) 6: 0 1 3 5 6 9 10 11 | (mode 5) 7: 0 2 4 5 8 9 10 11 | (mode 6) 9: 0 2 3 6 7 8 9 10 | mela 55 Syamalangi (mode 7) 11: 0 1 4 5 6 7 8 10 | (mode 0) 0: 0 3 4 5 6 7 9 10 11 | (mode 1) 3: 0 1 2 3 4 6 7 8 9 | (mode 2) 4: 0 1 2 3 5 6 7 8 11 | (mode 3) 5: 0 1 2 4 5 6 7 10 11 | (mode 4) 6: 0 1 3 4 5 6 9 10 11 | (mode 5) 7: 0 2 3 4 5 8 9 10 11 | (mode 6) 9: 0 1 2 3 6 7 8 9 10 | (mode 7) 10: 0 1 2 5 6 7 8 9 11 | (mode 8) 11: 0 1 4 5 6 7 8 10 11 | chromaticized keep 0 7: (mode 0) 0: 0 3 7 9 10 11 | (mode 1) 3: 0 4 6 7 8 9 | (mode 2) 7: 0 2 3 4 5 8 | (mode 3) 9: 0 1 2 3 6 10 | (mode 4) 10: 0 1 2 5 9 11 | (mode 5) 11: 0 1 4 8 10 11 | M#13#5b9 no 11th (mode 0) 0: 0 3 7 8 9 11 | (mode 1) 3: 0 4 5 6 8 9 | (mode 2) 7: 0 1 2 4 5 8 | (mode 3) 8: 0 1 3 4 7 11 | (mode 4) 9: 0 2 3 6 10 11 | (mode 5) 11: 0 1 4 8 9 10 | (mode 0) 0: 0 1 2 3 7 9 11 | (mode 1) 1: 0 1 2 6 8 10 11 | (mode 2) 2: 0 1 5 7 9 10 11 | (mode 3) 3: 0 4 6 8 9 10 11 | (mode 4) 7: 0 2 4 5 6 7 8 | (mode 5) 9: 0 2 3 4 5 6 10 | (mode 6) 11: 0 1 2 3 4 8 10 | (mode 0) 0: 0 1 2 3 7 8 9 11 | (mode 1) 1: 0 1 2 6 7 8 10 11 | (mode 2) 2: 0 1 5 6 7 9 10 11 | (mode 3) 3: 0 4 5 6 8 9 10 11 | (mode 4) 7: 0 1 2 4 5 6 7 8 | (mode 5) 8: 0 1 3 4 5 6 7 11 | (mode 6) 9: 0 2 3 4 5 6 10 11 | (mode 7) 11: 0 1 2 3 4 8 9 10 | (mode 0) 0: 0 3 4 5 6 7 9 11 | (mode 1) 3: 0 1 2 3 4 6 8 9 | (mode 2) 4: 0 1 2 3 5 7 8 11 | (mode 3) 5: 0 1 2 4 6 7 10 11 | (mode 4) 6: 0 1 3 5 6 9 10 11 | (mode 5) 7: 0 2 4 5 8 9 10 11 | (mode 6) 9: 0 2 3 6 7 8 9 10 | mela 55 Syamalangi (mode 7) 11: 0 1 4 5 6 7 8 10 | (mode 0) 0: 0 3 4 5 6 7 8 9 11 | (mode 1) 3: 0 1 2 3 4 5 6 8 9 | (mode 2) 4: 0 1 2 3 4 5 7 8 11 | (mode 3) 5: 0 1 2 3 4 6 7 10 11 | (mode 4) 6: 0 1 2 3 5 6 9 10 11 | (mode 5) 7: 0 1 2 4 5 8 9 10 11 | (mode 6) 8: 0 1 3 4 7 8 9 10 11 | (mode 7) 9: 0 2 3 6 7 8 9 10 11 | (mode 8) 11: 0 1 4 5 6 7 8 9 10 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 3 7 9 10 11 | (mode 1) 3: 0 4 6 7 8 9 | (mode 2) 7: 0 2 3 4 5 8 | (mode 3) 9: 0 1 2 3 6 10 | (mode 4) 10: 0 1 2 5 9 11 | (mode 5) 11: 0 1 4 8 10 11 | M#13#5b9 no 11th (mode 0) 0: 0 3 7 8 9 11 | (mode 1) 3: 0 4 5 6 8 9 | (mode 2) 7: 0 1 2 4 5 8 | (mode 3) 8: 0 1 3 4 7 11 | (mode 4) 9: 0 2 3 6 10 11 | (mode 5) 11: 0 1 4 8 9 10 | (mode 0) 0: 0 1 2 3 7 9 11 | (mode 1) 1: 0 1 2 6 8 10 11 | (mode 2) 2: 0 1 5 7 9 10 11 | (mode 3) 3: 0 4 6 8 9 10 11 | (mode 4) 7: 0 2 4 5 6 7 8 | (mode 5) 9: 0 2 3 4 5 6 10 | (mode 6) 11: 0 1 2 3 4 8 10 | (mode 0) 0: 0 1 2 3 7 8 9 11 | (mode 1) 1: 0 1 2 6 7 8 10 11 | (mode 2) 2: 0 1 5 6 7 9 10 11 | (mode 3) 3: 0 4 5 6 8 9 10 11 | (mode 4) 7: 0 1 2 4 5 6 7 8 | (mode 5) 8: 0 1 3 4 5 6 7 11 | (mode 6) 9: 0 2 3 4 5 6 10 11 | (mode 7) 11: 0 1 2 3 4 8 9 10 | alt-chromaticized: (mode 0) 0: 0 3 4 7 9 11 | M13#9 no 11th (mode 1) 3: 0 1 4 6 8 9 | (mode 2) 4: 0 3 5 7 8 11 | mM7b13 no 9th (mode 3) 7: 0 2 4 5 8 9 | (mode 4) 9: 0 2 3 6 7 10 | m#11 (mode 5) 11: 0 1 4 5 8 10 | (mode 0) 0: 0 1 3 6 7 8 9 11 | (mode 1) 1: 0 2 5 6 7 8 10 11 | (mode 2) 3: 0 3 4 5 6 8 9 10 | (mode 3) 6: 0 1 2 3 5 6 7 9 | (mode 4) 7: 0 1 2 4 5 6 8 11 | (mode 5) 8: 0 1 3 4 5 7 10 11 | (mode 6) 9: 0 2 3 4 6 9 10 11 | (mode 7) 11: 0 1 2 4 7 8 9 10 | alt-chromaticized keep 0: (mode 0) 0: 0 2 3 7 9 11 | mM 13 no 11th (mode 1) 2: 0 1 5 7 9 10 | (mode 2) 3: 0 4 6 8 9 11 | (mode 3) 7: 0 2 4 5 7 8 | (mode 4) 9: 0 2 3 5 6 10 | m11b5 (mode 5) 11: 0 1 3 4 8 10 | (mode 0) 0: 0 3 4 7 9 11 | M13#9 no 11th (mode 1) 3: 0 1 4 6 8 9 | (mode 2) 4: 0 3 5 7 8 11 | mM7b13 no 9th (mode 3) 7: 0 2 4 5 8 9 | (mode 4) 9: 0 2 3 6 7 10 | m#11 (mode 5) 11: 0 1 4 5 8 10 | (mode 0) 0: 0 3 5 7 9 10 11 | (mode 1) 3: 0 2 4 6 7 8 9 | mela 61 Kantamani (mode 2) 5: 0 2 4 5 6 7 10 | (mode 3) 7: 0 2 3 4 5 8 10 | (mode 4) 9: 0 1 2 3 6 8 10 | (mode 5) 10: 0 1 2 5 7 9 11 | mela 5 Manavati (mode 6) 11: 0 1 4 6 8 10 11 | M#13#5b9#11 = enigmatic ascending (mode 0) 0: 0 1 3 6 7 8 9 11 | (mode 1) 1: 0 2 5 6 7 8 10 11 | (mode 2) 3: 0 3 4 5 6 8 9 10 | (mode 3) 6: 0 1 2 3 5 6 7 9 | (mode 4) 7: 0 1 2 4 5 6 8 11 | (mode 5) 8: 0 1 3 4 5 7 10 11 | (mode 6) 9: 0 2 3 4 6 9 10 11 | (mode 7) 11: 0 1 2 4 7 8 9 10 | (mode 0) 0: 0 3 4 5 7 9 10 11 | (mode 1) 3: 0 1 2 4 6 7 8 9 | (mode 2) 4: 0 1 3 5 6 7 8 11 | (mode 3) 5: 0 2 4 5 6 7 10 11 | (mode 4) 7: 0 2 3 4 5 8 9 10 | (mode 5) 9: 0 1 2 3 6 7 8 10 | (mode 6) 10: 0 1 2 5 6 7 9 11 | (mode 7) 11: 0 1 4 5 6 8 10 11 | Persian scale (mode 0) 0: 0 1 2 3 6 7 8 9 11 | (mode 1) 1: 0 1 2 5 6 7 8 10 11 | (mode 2) 2: 0 1 4 5 6 7 9 10 11 | (mode 3) 3: 0 3 4 5 6 8 9 10 11 | (mode 4) 6: 0 1 2 3 5 6 7 8 9 | (mode 5) 7: 0 1 2 4 5 6 7 8 11 | (mode 6) 8: 0 1 3 4 5 6 7 10 11 | (mode 7) 9: 0 2 3 4 5 6 9 10 11 | (mode 8) 11: 0 1 2 3 4 7 8 9 10 | (mode 0) 0: 0 1 3 4 6 7 8 9 11 | (mode 1) 1: 0 2 3 5 6 7 8 10 11 | 2367AB & bebop minor (mode 2) 3: 0 1 3 4 5 6 8 9 10 | (mode 3) 4: 0 2 3 4 5 7 8 9 11 | ionian & harmonic minor = ionian & augmented scale = melodic minor & augmented scale (mode 4) 6: 0 1 2 3 5 6 7 9 10 | 12569A & m7 = 12569A & min. pentatonic (mode 5) 7: 0 1 2 4 5 6 8 9 11 | (mode 6) 8: 0 1 3 4 5 7 8 10 11 | phrygian & augmented scale (mode 7) 9: 0 2 3 4 6 7 9 10 11 | (mode 8) 11: 0 1 2 4 5 7 8 9 10 | alt-chromaticized keep 0 7: (mode 0) 0: 0 2 3 7 9 11 | mM 13 no 11th (mode 1) 2: 0 1 5 7 9 10 | (mode 2) 3: 0 4 6 8 9 11 | (mode 3) 7: 0 2 4 5 7 8 | (mode 4) 9: 0 2 3 5 6 10 | m11b5 (mode 5) 11: 0 1 3 4 8 10 | (mode 0) 0: 0 3 4 7 9 11 | M13#9 no 11th (mode 1) 3: 0 1 4 6 8 9 | (mode 2) 4: 0 3 5 7 8 11 | mM7b13 no 9th (mode 3) 7: 0 2 4 5 8 9 | (mode 4) 9: 0 2 3 6 7 10 | m#11 (mode 5) 11: 0 1 4 5 8 10 | (mode 0) 0: 0 3 5 7 9 10 11 | (mode 1) 3: 0 2 4 6 7 8 9 | mela 61 Kantamani (mode 2) 5: 0 2 4 5 6 7 10 | (mode 3) 7: 0 2 3 4 5 8 10 | (mode 4) 9: 0 1 2 3 6 8 10 | (mode 5) 10: 0 1 2 5 7 9 11 | mela 5 Manavati (mode 6) 11: 0 1 4 6 8 10 11 | M#13#5b9#11 = enigmatic ascending (mode 0) 0: 0 1 3 6 7 8 9 11 | (mode 1) 1: 0 2 5 6 7 8 10 11 | (mode 2) 3: 0 3 4 5 6 8 9 10 | (mode 3) 6: 0 1 2 3 5 6 7 9 | (mode 4) 7: 0 1 2 4 5 6 8 11 | (mode 5) 8: 0 1 3 4 5 7 10 11 | (mode 6) 9: 0 2 3 4 6 9 10 11 | (mode 7) 11: 0 1 2 4 7 8 9 10 | (mode 0) 0: 0 2 3 5 7 9 10 11 | dorian & melodic minor (mode 1) 2: 0 1 3 5 7 8 9 10 | (mode 2) 3: 0 2 4 6 7 8 9 11 | (mode 3) 5: 0 2 4 5 6 7 9 10 | (mode 4) 7: 0 2 3 4 5 7 8 10 | (mode 5) 9: 0 1 2 3 5 6 8 10 | (mode 6) 10: 0 1 2 4 5 7 9 11 | (mode 7) 11: 0 1 3 4 6 8 10 11 | (mode 0) 0: 0 3 4 5 7 9 10 11 | (mode 1) 3: 0 1 2 4 6 7 8 9 | (mode 2) 4: 0 1 3 5 6 7 8 11 | (mode 3) 5: 0 2 4 5 6 7 10 11 | (mode 4) 7: 0 2 3 4 5 8 9 10 | (mode 5) 9: 0 1 2 3 6 7 8 10 | (mode 6) 10: 0 1 2 5 6 7 9 11 | (mode 7) 11: 0 1 4 5 6 8 10 11 | Persian scale (mode 0) 0: 0 1 2 3 6 7 8 9 11 | (mode 1) 1: 0 1 2 5 6 7 8 10 11 | (mode 2) 2: 0 1 4 5 6 7 9 10 11 | (mode 3) 3: 0 3 4 5 6 8 9 10 11 | (mode 4) 6: 0 1 2 3 5 6 7 8 9 | (mode 5) 7: 0 1 2 4 5 6 7 8 11 | (mode 6) 8: 0 1 3 4 5 6 7 10 11 | (mode 7) 9: 0 2 3 4 5 6 9 10 11 | (mode 8) 11: 0 1 2 3 4 7 8 9 10 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 7 9 11 | mM 13 no 11th (mode 1) 2: 0 1 5 7 9 10 | (mode 2) 3: 0 4 6 8 9 11 | (mode 3) 7: 0 2 4 5 7 8 | (mode 4) 9: 0 2 3 5 6 10 | m11b5 (mode 5) 11: 0 1 3 4 8 10 | (mode 0) 0: 0 3 5 7 9 10 11 | (mode 1) 3: 0 2 4 6 7 8 9 | mela 61 Kantamani (mode 2) 5: 0 2 4 5 6 7 10 | (mode 3) 7: 0 2 3 4 5 8 10 | (mode 4) 9: 0 1 2 3 6 8 10 | (mode 5) 10: 0 1 2 5 7 9 11 | mela 5 Manavati (mode 6) 11: 0 1 4 6 8 10 11 | M#13#5b9#11 = enigmatic ascending (mode 0) 0: 0 1 3 6 7 8 9 11 | (mode 1) 1: 0 2 5 6 7 8 10 11 | (mode 2) 3: 0 3 4 5 6 8 9 10 | (mode 3) 6: 0 1 2 3 5 6 7 9 | (mode 4) 7: 0 1 2 4 5 6 8 11 | (mode 5) 8: 0 1 3 4 5 7 10 11 | (mode 6) 9: 0 2 3 4 6 9 10 11 | (mode 7) 11: 0 1 2 4 7 8 9 10 | (mode 0) 0: 0 2 3 5 7 9 10 11 | dorian & melodic minor (mode 1) 2: 0 1 3 5 7 8 9 10 | (mode 2) 3: 0 2 4 6 7 8 9 11 | (mode 3) 5: 0 2 4 5 6 7 9 10 | (mode 4) 7: 0 2 3 4 5 7 8 10 | (mode 5) 9: 0 1 2 3 5 6 8 10 | (mode 6) 10: 0 1 2 4 5 7 9 11 | (mode 7) 11: 0 1 3 4 6 8 10 11 | (mode 0) 0: 0 1 2 3 6 7 8 9 11 | (mode 1) 1: 0 1 2 5 6 7 8 10 11 | (mode 2) 2: 0 1 4 5 6 7 9 10 11 | (mode 3) 3: 0 3 4 5 6 8 9 10 11 | (mode 4) 6: 0 1 2 3 5 6 7 8 9 | (mode 5) 7: 0 1 2 4 5 6 7 8 11 | (mode 6) 8: 0 1 3 4 5 6 7 10 11 | (mode 7) 9: 0 2 3 4 5 6 9 10 11 | (mode 8) 11: 0 1 2 3 4 7 8 9 10 | (mode 0) 0: 0 1 3 5 6 7 8 9 10 11 | (mode 1) 1: 0 2 4 5 6 7 8 9 10 11 | whole tone & ionian (mode 2) 3: 0 2 3 4 5 6 7 8 9 10 | (mode 3) 5: 0 1 2 3 4 5 6 7 8 10 | whole tone & phrygian (mode 4) 6: 0 1 2 3 4 5 6 7 9 11 | (mode 5) 7: 0 1 2 3 4 5 6 8 10 11 | (mode 6) 8: 0 1 2 3 4 5 7 9 10 11 | (mode 7) 9: 0 1 2 3 4 6 8 9 10 11 | (mode 8) 10: 0 1 2 3 5 7 8 9 10 11 | phrygian & melodic minor (mode 9) 11: 0 1 2 4 6 7 8 9 10 11 | (mode 0) 0: 0 1 2 3 5 6 7 8 9 10 11 | locrian & melodic minor = diminished & phrygian = 12569A & bebop minor (mode 1) 1: 0 1 2 4 5 6 7 8 9 10 11 | Northern lights chord (mode 2) 2: 0 1 3 4 5 6 7 8 9 10 11 | (mode 3) 3: 0 2 3 4 5 6 7 8 9 10 11 | aeolydian scale = whole tone & dorian = diminished scale & mixolydian (mode 4) 5: 0 1 2 3 4 5 6 7 8 9 10 | mixolocrian scale = 1st 11 notes of chromatic scale = aux. diminished scale & aeolean (mode 5) 6: 0 1 2 3 4 5 6 7 8 9 11 | (mode 6) 7: 0 1 2 3 4 5 6 7 8 10 11 | (mode 7) 8: 0 1 2 3 4 5 6 7 9 10 11 | aux. diminished scale & ionian = 12569A & aux. diminished (mode 8) 9: 0 1 2 3 4 5 6 8 9 10 11 | 11-note 4ths stack (mode 9) 10: 0 1 2 3 4 5 7 8 9 10 11 | iophrygian scale = Spanish Gypsy & dorian = the most consonant 11-note chord type (mode 10) 11: 0 1 2 3 4 6 7 8 9 10 11 | 11-note 5ths stack = most stable 11-note chord type Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 3 7 9 11 = 0: 0 3 7 9 11 = 3: 0 4 6 8 9 = 7: 0 2 4 5 8 = 9: 0 2 3 6 10 = 11: 0 1 4 8 10 1 9 9 0 2 3 6 10 = 0: 0 2 3 6 10 = 2: 0 1 4 8 10 = 3: 0 3 7 9 11 = 6: 0 4 6 8 9 = 10: 0 2 4 5 8 1 11 11 0 1 4 8 10 = 0: 0 1 4 8 10 = 1: 0 3 7 9 11 = 4: 0 4 6 8 9 = 8: 0 2 4 5 8 = 10: 0 2 3 6 10 Bright Layer Composition order pcset 1 0 3 7 9 11 = 0: 0 3 7 9 11 = 3: 0 4 6 8 9 = 7: 0 2 4 5 8 = 9: 0 2 3 6 10 = 11: 0 1 4 8 10 2 0 2 3 4 6 7 9 10 11 = 0: 0 2 3 4 6 7 9 10 11 = 2: 0 1 2 4 5 7 8 9 10 = 3: 0 1 3 4 6 7 8 9 11 = 4: 0 2 3 5 6 7 8 10 11 = 6: 0 1 3 4 5 6 8 9 10 = 7: 0 2 3 4 5 7 8 9 11 = 9: 0 1 2 3 5 6 7 9 10 = 10: 0 1 2 4 5 6 8 9 11 = 11: 0 1 3 4 5 7 8 10 11 3 0 1 2 3 4 5 6 7 9 10 11 = 0: 0 1 2 3 4 5 6 7 9 10 11 = 1: 0 1 2 3 4 5 6 8 9 10 11 = 2: 0 1 2 3 4 5 7 8 9 10 11 = 3: 0 1 2 3 4 6 7 8 9 10 11 = 4: 0 1 2 3 5 6 7 8 9 10 11 = 5: 0 1 2 4 5 6 7 8 9 10 11 = 6: 0 1 3 4 5 6 7 8 9 10 11 = 7: 0 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 = 10: 0 1 2 3 4 5 6 7 8 9 11 = 11: 0 1 2 3 4 5 6 7 8 10 11 4 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 3 7 9 11 subchroma modal system: 0 0 = 0 = 0: 0 3 = 3 = 3: 0 7 = 7 = 7: 0 9 = 9 = 9: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 3 = 0 3 = 0: 0 3 3: 0 9 3 7 = 3 7 = 3: 0 4 7: 0 8 7 9 = 7 9 = 7: 0 2 9: 0 10 9 11 = 9 11 = 9: 0 2 11: 0 10 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 3 9 = 3 9 = 3 9: 0 6 7 11 = 7 11 = 7: 0 4 11: 0 8 9 0 = 0 9 = 9: 0 3 0: 0 9 11 3 = 3 11 = 11: 0 4 3: 0 8 subchroma modal system: 0 1 2 0 3 7 = 0 3 7 = 0: 0 3 7 3: 0 4 9 3 7 9 = 3 7 9 = 3: 0 4 6 7 9 11 = 7 9 11 = 7: 0 2 4 9 11 0 = 0 9 11 = 9: 0 2 3 11 0 3 = 0 3 11 = 11: 0 1 4 0: 0 3 11 subchroma modal system: 0 1 3 0 3 9 = 0 3 9 = 9: 0 3 6 0: 0 3 9 3 7 11 = 3 7 11 = 3 7 11: 0 4 8 7 9 0 = 0 7 9 = 9: 0 3 10 0: 0 7 9 9 11 3 = 3 9 11 = 11: 0 4 10 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 1 2 3 0 3 7 9 = 0 3 7 9 = 0: 0 3 7 9 9: 0 3 6 10 3 7 9 11 = 3 7 9 11 = 11: 0 4 8 10 7 9 11 0 = 0 7 9 11 = 7: 0 2 4 5 9: 0 2 3 10 0: 0 7 9 11 9 11 0 3 = 0 3 9 11 = 9: 0 2 3 6 11: 0 1 4 10 0: 0 3 9 11 11 0 3 7 = 0 3 7 11 = 0: 0 3 7 11 subchroma modal system: 0 1 2 3 4 0 3 7 9 11 = 0 3 7 9 11 = 11: 0 1 4 8 10 9: 0 2 3 6 10 0: 0 3 7 9 11 3 7 9 11 0 = 0 3 7 9 11 = 11: 0 1 4 8 10 9: 0 2 3 6 10 0: 0 3 7 9 11 7 9 11 0 3 = 0 3 7 9 11 = 11: 0 1 4 8 10 9: 0 2 3 6 10 0: 0 3 7 9 11 9 11 0 3 7 = 0 3 7 9 11 = 11: 0 1 4 8 10 9: 0 2 3 6 10 0: 0 3 7 9 11 11 0 3 7 9 = 0 3 7 9 11 = 11: 0 1 4 8 10 9: 0 2 3 6 10 0: 0 3 7 9 11 Subset Chord Types by Root Set 0 :0 7 0 :0 11 0 :0 3 7 0 :0 3 9 0 :0 3 11 0 :0 7 9 0 :0 7 11 0 :0 3 7 9 0 :0 3 7 11 0 :0 3 9 11 0 :0 7 9 11 0 :0 3 7 9 11 0 3 :0 9 0 3 7 9 11:0 0 9 :0 3 3 :0 4 6 3 :0 4 9 3 7 11 :0 4 3 7 11 :0 8 3 7 11 :0 4 8 3 9:0 6 7 :0 5 7 :0 2 4 7 :0 4 5 7 :0 2 4 5 7 9 :0 2 9 :0 2 3 9 :0 3 6 9 :0 3 10 9 :0 2 3 6 9 :0 2 3 10 9 :0 3 6 10 9 :0 2 3 6 10 9 11 :0 10 11 :0 1 11 :0 1 4 11 :0 4 10 11 :0 1 4 10 11 :0 4 8 10 11 :0 1 4 8 10 Superset Chord Types by Root Set 0 :0 3 7 9 11 0 :0 1 3 7 9 11 0 :0 2 3 7 9 11 0 :0 3 4 7 9 11 0 :0 3 5 7 9 11 0 :0 3 6 7 9 11 0 :0 3 7 8 9 11 0 :0 3 7 9 10 11 0 :0 1 2 3 7 9 11 0 :0 2 3 4 7 9 11 0 :0 1 3 5 7 9 11 0 :0 1 3 6 7 9 11 0 :0 2 3 5 7 9 11 0 :0 2 3 6 7 9 11 0 :0 3 4 5 7 9 11 0 :0 3 4 6 7 9 11 0 :0 1 3 7 8 9 11 0 :0 1 3 7 9 10 11 0 :0 2 3 7 8 9 11 0 :0 2 3 7 9 10 11 0 :0 3 4 7 8 9 11 0 :0 3 4 7 9 10 11 0 :0 3 5 6 7 9 11 0 :0 3 5 7 9 10 11 0 :0 3 6 7 8 9 11 0 :0 3 6 7 9 10 11 0 :0 3 7 8 9 10 11 0 :0 1 2 3 6 7 9 11 0 :0 2 3 4 5 7 9 11 0 :0 2 3 4 6 7 9 11 0 :0 1 2 3 7 8 9 11 0 :0 1 2 3 7 9 10 11 0 :0 2 3 4 7 8 9 11 0 :0 2 3 4 7 9 10 11 0 :0 2 3 5 6 7 9 11 0 :0 3 4 5 6 7 9 11 0 :0 1 3 6 7 8 9 11 0 :0 1 3 6 7 9 10 11 0 :0 2 3 5 7 9 10 11 0 :0 2 3 6 7 8 9 11 0 :0 3 4 5 7 9 10 11 0 :0 3 4 6 7 9 10 11 0 :0 1 3 7 8 9 10 11 0 :0 2 3 7 8 9 10 11 0 :0 3 4 7 8 9 10 11 0 :0 3 5 6 7 9 10 11 0 :0 3 6 7 8 9 10 11 0 :0 2 3 4 5 6 7 9 11 0 :0 1 2 3 6 7 8 9 11 0 :0 2 3 4 5 7 9 10 11 0 :0 2 3 4 7 8 9 10 11 0 :0 1 2 3 7 8 9 10 11 0 :0 3 4 5 6 7 9 10 11 0 :0 1 3 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 4 6 9 10 :0 1 2 3 5 6 7 8 9 10 11 0 1 3 4 5 7 9 :0 2 3 4 5 6 7 8 9 10 11 0 1 3 5 8 9 11 :0 1 2 3 4 6 7 8 9 10 11 0 1 3 5 9 :0 2 3 4 6 7 8 9 10 11 0 1 4 9 :0 2 3 5 6 7 8 9 10 11 0 1 9 :0 2 3 6 7 8 9 10 11 0 1 9 :0 1 2 3 6 7 8 9 10 11 0 2 :0 1 3 5 7 9 10 11 0 2 3 4 6 8 11 :0 1 3 4 5 6 7 8 9 10 11 0 2 4 :0 1 3 5 7 8 9 10 11 0 2 4 6 :0 1 3 5 6 7 8 9 10 11 0 2 4 7 8 10 11 :0 1 2 3 4 5 7 8 9 10 11 0 2 4 8 11 :0 1 3 4 5 7 8 9 10 11 0 2 4 10 :0 1 2 3 5 7 8 9 10 11 0 2 5 6 8 9 10 :0 1 2 3 4 5 6 7 9 10 11 0 2 6 :0 1 3 5 6 7 9 10 11 0 2 6 8 :0 1 3 4 5 6 7 9 10 11 0 2 6 9 10 :0 1 2 3 5 6 7 9 10 11 0 2 8 :0 1 3 4 5 7 9 10 11 0 2 8 10 :0 1 2 3 4 5 7 9 10 11 0 2 10 :0 1 2 3 5 7 9 10 11 0 3 :0 3 4 6 7 8 9 11 0 3 :0 2 3 4 6 7 8 9 11 0 3 :0 3 4 6 7 8 9 10 11 0 3 4 :0 3 4 5 6 7 8 9 11 0 3 4 :0 3 4 5 6 7 8 9 10 11 0 3 4 6 7 8 10 :0 1 2 3 4 5 6 7 8 9 11 0 3 4 6 8 :0 1 3 4 5 6 7 8 9 11 0 3 4 7 :0 2 3 4 5 6 7 8 9 11 0 3 8 :0 1 3 4 6 7 8 9 11 0 3 8 :0 1 2 3 4 6 7 8 9 11 0 3 8 11 :0 1 3 4 6 7 8 9 10 11 0 4 :0 3 5 7 8 9 11 0 4 :0 1 3 5 7 8 9 11 0 4 :0 2 3 5 7 8 9 11 0 4 :0 3 4 5 7 8 9 11 0 4 :0 3 5 6 7 8 9 11 0 4 :0 3 5 7 8 9 10 11 0 4 :0 2 3 5 6 7 8 9 11 0 4 :0 2 3 5 7 8 9 10 11 0 4 :0 3 4 5 7 8 9 10 11 0 4 :0 3 5 6 7 8 9 10 11 0 4 6 :0 1 3 5 6 7 8 9 11 0 4 6 10 :0 1 2 3 5 6 7 8 9 11 0 4 7 :0 2 3 4 5 7 8 9 11 0 4 7 :0 2 3 4 5 7 8 9 10 11 0 4 7 8 10 :0 1 2 3 4 5 7 8 9 11 0 4 8 :0 1 3 4 5 7 8 9 11 0 4 10 :0 1 2 3 5 7 8 9 11 0 5 8 9 :0 1 2 3 4 6 7 9 10 11 0 5 9 :0 2 3 4 6 7 9 10 11 0 5 9 :0 2 3 4 5 6 7 9 10 11 0 6 :0 1 3 5 6 7 9 11 0 6 8 :0 1 3 4 5 6 7 9 11 0 6 8 10 :0 1 2 3 4 5 6 7 9 11 0 6 10 :0 1 2 3 5 6 7 9 11 0 8 :0 1 3 4 7 9 11 0 8 :0 1 2 3 4 7 9 11 0 8 :0 1 3 4 5 7 9 11 0 8 :0 1 3 4 6 7 9 11 0 8 :0 1 3 4 7 8 9 11 0 8 :0 1 3 4 7 9 10 11 0 8 :0 1 2 3 4 6 7 9 11 0 8 :0 1 2 3 4 7 8 9 11 0 8 :0 1 2 3 4 7 9 10 11 0 8 :0 1 3 4 6 7 9 10 11 0 8 10 :0 1 2 3 4 5 7 9 11 0 8 11 :0 1 3 4 7 8 9 10 11 0 8 11 :0 1 2 3 4 7 8 9 10 11 0 9 :0 2 3 6 7 9 10 11 0 9 :0 1 2 3 6 7 9 10 11 0 9 :0 2 3 5 6 7 9 10 11 0 10 :0 1 2 3 5 7 9 11 1 :0 2 4 6 8 10 11 1 :0 2 6 7 8 10 11 1 :0 1 2 6 7 8 10 11 1 :0 2 5 6 7 8 10 11 1 :0 2 6 7 8 9 10 11 1 :0 1 2 6 7 8 9 10 11 1 2 3 5 7 10 11 :0 1 2 4 5 6 7 8 9 10 11 1 2 10 :0 1 2 5 6 7 8 9 10 11 1 3 5 :0 2 4 6 7 8 9 10 11 1 3 5 7 :0 2 4 5 6 7 8 9 10 11 1 3 5 11 :0 1 2 4 6 7 8 9 10 11 1 3 6 7 9 10 11 :0 1 2 3 4 5 6 8 9 10 11 1 3 7 9 :0 2 3 4 5 6 8 9 10 11 1 3 7 10 11 :0 1 2 4 5 6 8 9 10 11 1 3 9 11 :0 1 2 3 4 6 8 9 10 11 1 4 5 7 8 9 11 :0 1 2 3 4 5 6 7 8 10 11 1 4 5 7 9 :0 2 3 4 5 6 7 8 10 11 1 4 9 :0 2 3 5 6 7 8 10 11 1 4 9 :0 1 2 3 5 6 7 8 10 11 1 5 :0 2 4 6 7 8 10 11 1 5 7 :0 2 4 5 6 7 8 10 11 1 5 7 11 :0 1 2 4 5 6 7 8 10 11 1 5 8 9 11 :0 1 2 3 4 6 7 8 10 11 1 5 9 :0 2 3 4 6 7 8 10 11 1 5 11 :0 1 2 4 6 7 8 10 11 1 6 9 10 :0 1 2 3 5 6 8 9 10 11 1 7 9 11 :0 1 2 3 4 5 6 8 10 11 1 9 :0 2 3 6 8 10 11 1 9 :0 2 3 6 7 8 10 11 1 9 :0 1 2 3 6 7 8 10 11 1 9 :0 2 3 5 6 8 9 10 11 1 9 11 :0 1 2 3 4 6 8 10 11 1 11 :0 1 2 4 6 8 10 11 2 :0 1 5 7 9 10 2 :0 1 2 5 7 9 10 2 :0 1 3 5 7 9 10 2 :0 1 4 5 7 9 10 2 :0 1 5 7 8 9 10 2 :0 1 5 7 9 10 11 2 :0 1 2 3 5 7 9 10 2 :0 1 2 4 5 7 9 10 2 :0 1 3 4 5 7 9 10 2 :0 1 4 5 6 7 9 10 2 :0 1 3 5 7 8 9 10 2 :0 1 4 5 7 9 10 11 2 :0 1 5 6 7 9 10 11 2 :0 1 5 7 8 9 10 11 2 :0 1 2 3 4 5 7 9 10 2 :0 1 2 3 5 7 8 9 10 2 :0 1 4 5 6 7 9 10 11 2 3 5 6 7 9 11 :0 1 2 3 4 5 6 7 8 9 10 2 3 5 7 11 :0 1 2 4 5 6 7 8 9 10 2 3 6 11 :0 1 3 4 5 6 7 8 9 10 2 3 11 :0 1 4 5 6 7 8 9 10 2 3 11 :0 1 4 5 6 7 8 9 10 11 2 5 :0 1 2 4 5 6 7 9 10 2 5 6 9 :0 1 2 3 4 5 6 7 9 10 2 5 10 :0 1 2 4 5 6 7 9 10 11 2 6 :0 1 3 5 6 7 9 10 2 6 :0 1 3 4 5 6 7 9 10 2 6 :0 1 3 5 6 7 8 9 10 2 6 9 :0 1 2 3 5 6 7 9 10 2 6 9 :0 1 2 3 5 6 7 8 9 10 2 7 10 11 :0 1 2 4 5 7 8 9 10 11 2 7 11 :0 1 2 4 5 7 8 9 10 2 7 11 :0 1 2 3 4 5 7 8 9 10 2 10 :0 1 2 5 7 9 10 11 2 10 :0 1 2 4 5 7 9 10 11 2 10 :0 1 2 5 7 8 9 10 11 2 11 :0 1 4 5 7 8 9 10 2 11 :0 1 3 4 5 7 8 9 10 2 11 :0 1 4 5 7 8 9 10 11 3 :0 4 6 7 8 9 3 :0 1 4 6 7 8 9 3 :0 2 4 6 7 8 9 3 :0 3 4 6 7 8 9 3 :0 1 4 6 8 9 11 3 :0 2 4 6 8 9 10 3 :0 2 4 6 8 9 11 3 :0 3 4 6 8 9 10 3 :0 3 4 6 8 9 11 3 :0 4 5 6 7 8 9 3 :0 4 6 7 8 9 10 3 :0 4 6 7 8 9 11 3 :0 1 2 4 6 7 8 9 3 :0 1 3 4 6 7 8 9 3 :0 2 3 4 6 7 8 9 3 :0 1 4 5 6 7 8 9 3 :0 1 4 6 7 8 9 11 3 :0 2 4 6 7 8 9 11 3 :0 3 4 6 7 8 9 10 3 :0 4 5 6 7 8 9 10 3 :0 4 6 7 8 9 10 11 3 :0 1 2 3 4 6 7 8 9 3 :0 1 2 4 6 7 8 9 11 3 :0 1 4 5 6 7 8 9 11 3 :0 3 4 5 6 7 8 9 10 3 :0 4 5 6 7 8 9 10 11 3 5 :0 2 4 6 7 8 9 10 3 5 7 :0 2 4 5 6 7 8 9 10 3 5 7 9 :0 2 3 4 5 6 7 8 9 10 3 5 9 :0 2 3 4 6 7 8 9 10 3 5 9 11 :0 1 2 3 4 6 7 8 9 10 3 5 11 :0 1 2 4 6 7 8 9 10 3 6 7 :0 1 2 3 4 5 6 7 8 9 3 6 7 9 11 :0 1 2 3 4 5 6 8 9 10 3 6 7 10 :0 1 2 3 4 5 6 8 9 11 3 6 11 :0 1 3 4 5 6 8 9 10 11 3 7 :0 1 2 4 5 6 7 8 9 3 7 :0 2 3 4 5 6 7 8 9 3 7 :0 2 4 5 6 7 8 9 11 3 7 10 :0 1 2 4 5 6 7 8 9 11 3 11 :0 1 4 6 8 9 10 3 11 :0 1 4 6 7 8 9 10 3 11 :0 1 3 4 6 7 8 9 10 3 11 :0 1 4 6 7 8 9 10 11 4 :0 3 5 7 8 11 4 :0 1 3 5 7 8 11 4 :0 2 3 5 7 8 11 4

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

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

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

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