Chord Type: 0 2 5 7 9

0 2 5 7 9 = yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major

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Chord Type: 0 2 5 7 9

Chord Type Fun Facts 0 2 5 7 9 Subset of Ionian Mode (0 2 4 5 7 9 11) Subset of Dorian Mode (0 2 3 5 7 9 10) Subset of Mixolydian Mode (0 2 4 5 7 9 10) Subset of Melodic Minor (0 2 3 5 7 9 11) Subset of Dorian Blues Scale (0 2 3 5 6 7 9 10) Modal System Fun Facts 0 2 4 7 9 Subset of Diatonic Modal System Subset of Melodic Minor Modal System Inversionally Symmetrical Subset of Dorian Blues Scale Harmonic adjacency = 1 (maximum). Melodic adjacency = 0 (minimum). General Statistics Cardinality: 5 Jordan Number: 5-48 Forte Number: 5-35 Forte Prime Form: [0,2,4,7,9] Zeitler Scale Name: Mynitonic Ian Ring's Scale Page 677 Root Reference: 0 2 5 7 9 Tone Stacking: 0 2 3 2 2 Interval Stacking: 2 3 2 2 3 Binary: 1 0 1 0 0 1 0 1 0 1 0 0 Decimal Value: 677 Interval Vector: 0 3 2 1 4 0 Inversional Symmetry: yes (axes of symmetry: 1 7) Transpositional Symmetry: no Melodic Adjacency (0-1): 0.000 Harmonic Adjacency (0-1): 1.000 Modal-system-invariant under multiplication by: 1 11 Modal System Balanced: no Diachromatic Family: Scale Degrees: 12456 0 1 5 7 8 = In, Sakura pent., kumoi joshi 0 1 5 7 9 0 1 6 7 8 = pelog (main tones) 0 1 6 7 9 0 2 5 7 8 = kokin joshi ->0 2 5 7 9 = ritsu, yo desc., Thai2, ambassel maj. 0 2 6 7 8 0 2 6 7 9 = Javanese pelog pathet barang All Transpositions of Chord Type: +0= 0 2 5 7 9 |yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major +1= 1 3 6 8 10 | +2= 2 4 7 9 11 | +3= 0 3 5 8 10 | +4= 1 4 6 9 11 | +5= 0 2 5 7 10 |11 no 3rd = yosenpo (yo) ascending = yematebela wofe = Thai mode 3 (MSOTW) = slendro (MSOFW) +6= 1 3 6 8 11 | +7= 0 2 4 7 9 |major pentatonic = 5-note 5ths stack = ryo pentatonic = tizita major +8= 1 3 5 8 10 | +9= 2 4 6 9 11 | +10= 0 3 5 7 10 |minor pentatonic = m11 no 9th = minyo = batti minor = Thai mode 4 (MSOTW) +11= 1 4 6 8 11 | Modes of Chord Type: (mode 0) 0: 0 2 5 7 9 | yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major (mode 1) 2: 0 3 5 7 10 | minor pentatonic = m11 no 9th = minyo = batti minor = Thai mode 4 (MSOTW) (mode 2) 5: 0 2 4 7 9 | major pentatonic = 5-note 5ths stack = ryo pentatonic = tizita major (mode 3) 7: 0 2 5 7 10 | 11 no 3rd = yosenpo (yo) ascending = yematebela wofe = Thai mode 3 (MSOTW) = slendro (MSOFW) (mode 4) 9: 0 3 5 8 10 | Modes of Chord Type Sorted by Rootedness: 1.725(mode 2)5:0 2 4 7 9 |major pentatonic = 5-note 5ths stack = ryo pentatonic = tizita major 1.108(mode 1)2:0 3 5 7 10 |minor pentatonic = m11 no 9th = minyo = batti minor = Thai mode 4 (MSOTW) 1.000(mode 3)7:0 2 5 7 10 |11 no 3rd = yosenpo (yo) ascending = yematebela wofe = Thai mode 3 (MSOTW) = slendro (MSOFW) .892(mode 0)0:0 2 5 7 9 |yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major .208(mode 4)9:0 3 5 8 10 | Inversion at 0: 0 3 5 7 10 (mode 0) 0: 0 3 5 7 10 | minor pentatonic = m11 no 9th = minyo = batti minor = Thai mode 4 (MSOTW) (mode 1) 3: 0 2 4 7 9 | major pentatonic = 5-note 5ths stack = ryo pentatonic = tizita major (mode 2) 5: 0 2 5 7 10 | 11 no 3rd = yosenpo (yo) ascending = yematebela wofe = Thai mode 3 (MSOTW) = slendro (MSOFW) (mode 3) 7: 0 3 5 8 10 | (mode 4) 10: 0 2 5 7 9 | yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major Times 7: 0 1 2 3 11 (mode 0) 0: 0 1 2 3 11 | (mode 1) 1: 0 1 2 10 11 | (mode 2) 2: 0 1 9 10 11 | (mode 3) 3: 0 8 9 10 11 | (mode 4) 11: 0 1 2 3 4 | 1st 5 notes of chromatic scale Times 5: 0 1 9 10 11 (mode 0) 0: 0 1 9 10 11 | (mode 1) 1: 0 8 9 10 11 | (mode 2) 9: 0 1 2 3 4 | 1st 5 notes of chromatic scale (mode 3) 10: 0 1 2 3 11 | (mode 4) 11: 0 1 2 10 11 | Modal System: 0 2 4 7 9 from root(s) 5 | "open pentachord modal system" Modes of Modal System: (mode 0) 0: 0 2 4 7 9 | major pentatonic = 5-note 5ths stack = ryo pentatonic = tizita major (mode 1) 2: 0 2 5 7 10 | 11 no 3rd = yosenpo (yo) ascending = yematebela wofe = Thai mode 3 (MSOTW) = slendro (MSOFW) (mode 2) 4: 0 3 5 8 10 | (mode 3) 7: 0 2 5 7 9 | yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major (mode 4) 9: 0 3 5 7 10 | minor pentatonic = m11 no 9th = minyo = batti minor = Thai mode 4 (MSOTW) Complement: 1 3 4 6 8 10 11 (mode 0) 1: 0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) (mode 1) 3: 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 2) 4: 0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that (mode 3) 6: 0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that (mode 4) 8: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that (mode 5) 10: 0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack (mode 6) 11: 0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that All but the root (subchroma complement of 0): 2 5 7 9 (mode 0) 2: 0 3 5 7 | m add 11 (mode 1) 5: 0 2 4 9 | (mode 2) 7: 0 2 7 10 | 9 no 3rd = m9 no 3rd (mode 3) 9: 0 5 8 10 | 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: 5 9 (mode 0) 5: 0 4 | major 3rd = major 10th = diminished 4th (mode 1) 9: 0 8 | augmented 5th = minor 6th = augmented 12th = minor 13th Alt-Dechromaticised but Keep 0 0 5 9 (mode 0) 0: 0 5 9 | (mode 1) 5: 0 4 7 | M = major triad = major chord (mode 2) 9: 0 3 8 | Alt-Dechromaticised but Keep 0 7 0 5 7 9 (mode 0) 0: 0 5 7 9 | (mode 1) 5: 0 2 4 7 | add9 = Mu chord (mode 2) 7: 0 2 5 10 | (mode 3) 9: 0 3 8 10 | Alt-Dechromaticised but Keep 0 3 4 7 0 5 7 9 (mode 0) 0: 0 5 7 9 | (mode 1) 5: 0 2 4 7 | add9 = Mu chord (mode 2) 7: 0 2 5 10 | (mode 3) 9: 0 3 8 10 | Chromaticizations chromaticized: (mode 0) 0: 0 2 5 6 7 9 | (mode 1) 2: 0 3 4 5 7 10 | 11#9 (mode 2) 5: 0 1 2 4 7 9 | (mode 3) 6: 0 1 3 6 8 11 | (mode 4) 7: 0 2 5 7 10 11 | (mode 5) 9: 0 3 5 8 9 10 | (mode 0) 0: 0 2 5 7 8 9 | (mode 1) 2: 0 3 5 6 7 10 | minor blues = blues hexachord (mode 2) 5: 0 2 3 4 7 9 | major blues (mode 3) 7: 0 1 2 5 7 10 | (mode 4) 8: 0 1 4 6 9 11 | (mode 5) 9: 0 3 5 8 10 11 | (mode 0) 0: 0 1 2 5 7 9 | (mode 1) 1: 0 1 4 6 8 11 | (mode 2) 2: 0 3 5 7 10 11 | mM7#13 no 9th (mode 3) 5: 0 2 4 7 8 9 | (mode 4) 7: 0 2 5 6 7 10 | (mode 5) 9: 0 3 4 5 8 10 | (mode 0) 0: 0 2 3 4 5 7 9 | (mode 1) 2: 0 1 2 3 5 7 10 | (mode 2) 3: 0 1 2 4 6 9 11 | (mode 3) 4: 0 1 3 5 8 10 11 | m#13#5b9 (mode 4) 5: 0 2 4 7 9 10 11 | (mode 5) 7: 0 2 5 7 8 9 10 | (mode 6) 9: 0 3 5 6 7 8 10 | (mode 0) 0: 0 2 5 7 9 10 11 | (mode 1) 2: 0 3 5 7 8 9 10 | (mode 2) 5: 0 2 4 5 6 7 9 | (mode 3) 7: 0 2 3 4 5 7 10 | (mode 4) 9: 0 1 2 3 5 8 10 | (mode 5) 10: 0 1 2 4 7 9 11 | (mode 6) 11: 0 1 3 6 8 10 11 | m#13b9#11 (mode 0) 0: 0 1 2 5 6 7 9 | (mode 1) 1: 0 1 4 5 6 8 11 | M7b13#5b9#11 = Persian scale (mode 2) 2: 0 3 4 5 7 10 11 | M#13#9 = mela 36 Chalanata (mode 3) 5: 0 1 2 4 7 8 9 | (mode 4) 6: 0 1 3 6 7 8 11 | mMb13b9#11 = mela 45 Shubhapantuvarali = todi that (mode 5) 7: 0 2 5 6 7 10 11 | (mode 6) 9: 0 3 4 5 8 9 10 | 13#5#9 (mode 0) 0: 0 1 2 5 7 8 9 | (mode 1) 1: 0 1 4 6 7 8 11 | M#13b9#11 = mela 51 Kaamavardini = purvi that (mode 2) 2: 0 3 5 6 7 10 11 | manic depression blues scale (mode 3) 5: 0 2 3 4 7 8 9 | (mode 4) 7: 0 1 2 5 6 7 10 | (mode 5) 8: 0 1 4 5 6 9 11 | M13b5b9 (mode 6) 9: 0 3 4 5 8 10 11 | M7#13#5#9 (mode 0) 0: 0 2 5 6 7 9 10 11 | (mode 1) 2: 0 3 4 5 7 8 9 10 | mela 31 Yagapriya (mode 2) 5: 0 1 2 4 5 6 7 9 | (mode 3) 6: 0 1 3 4 5 6 8 11 | (mode 4) 7: 0 2 3 4 5 7 10 11 | (mode 5) 9: 0 1 2 3 5 8 9 10 | (mode 6) 10: 0 1 2 4 7 8 9 11 | (mode 7) 11: 0 1 3 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 | (mode 1) 2: 0 1 2 3 5 6 7 10 | (mode 2) 3: 0 1 2 4 5 6 9 11 | (mode 3) 4: 0 1 3 4 5 8 10 11 | (mode 4) 5: 0 2 3 4 7 9 10 11 | (mode 5) 7: 0 1 2 5 7 8 9 10 | (mode 6) 8: 0 1 4 6 7 8 9 11 | (mode 7) 9: 0 3 5 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 11 | iodorian scale = mixolydian & melodic minor (mode 1) 2: 0 1 2 3 5 7 8 9 10 | phrygidorian scale (mode 2) 3: 0 1 2 4 6 7 8 9 11 | 9-note 5ths stack (mode 3) 4: 0 1 3 5 6 7 8 10 11 | (mode 4) 5: 0 2 4 5 6 7 9 10 11 | lydiomixlydian scale = ryo scale with all secondary tones (mode 5) 7: 0 2 3 4 5 7 8 9 10 | mixaeolean (mode 6) 9: 0 1 2 3 5 6 7 8 10 | (mode 7) 10: 0 1 2 4 5 6 7 9 11 | (mode 8) 11: 0 1 3 4 5 6 8 10 11 | chromaticized keep 0: (mode 0) 0: 0 2 5 6 7 9 | (mode 1) 2: 0 3 4 5 7 10 | 11#9 (mode 2) 5: 0 1 2 4 7 9 | (mode 3) 6: 0 1 3 6 8 11 | (mode 4) 7: 0 2 5 7 10 11 | (mode 5) 9: 0 3 5 8 9 10 | (mode 0) 0: 0 2 5 7 8 9 | (mode 1) 2: 0 3 5 6 7 10 | minor blues = blues hexachord (mode 2) 5: 0 2 3 4 7 9 | major blues (mode 3) 7: 0 1 2 5 7 10 | (mode 4) 8: 0 1 4 6 9 11 | (mode 5) 9: 0 3 5 8 10 11 | (mode 0) 0: 0 1 2 5 7 9 | (mode 1) 1: 0 1 4 6 8 11 | (mode 2) 2: 0 3 5 7 10 11 | mM7#13 no 9th (mode 3) 5: 0 2 4 7 8 9 | (mode 4) 7: 0 2 5 6 7 10 | (mode 5) 9: 0 3 4 5 8 10 | (mode 0) 0: 0 2 3 4 5 7 9 | (mode 1) 2: 0 1 2 3 5 7 10 | (mode 2) 3: 0 1 2 4 6 9 11 | (mode 3) 4: 0 1 3 5 8 10 11 | m#13#5b9 (mode 4) 5: 0 2 4 7 9 10 11 | (mode 5) 7: 0 2 5 7 8 9 10 | (mode 6) 9: 0 3 5 6 7 8 10 | (mode 0) 0: 0 2 5 7 9 10 11 | (mode 1) 2: 0 3 5 7 8 9 10 | (mode 2) 5: 0 2 4 5 6 7 9 | (mode 3) 7: 0 2 3 4 5 7 10 | (mode 4) 9: 0 1 2 3 5 8 10 | (mode 5) 10: 0 1 2 4 7 9 11 | (mode 6) 11: 0 1 3 6 8 10 11 | m#13b9#11 (mode 0) 0: 0 1 2 5 6 7 9 | (mode 1) 1: 0 1 4 5 6 8 11 | M7b13#5b9#11 = Persian scale (mode 2) 2: 0 3 4 5 7 10 11 | M#13#9 = mela 36 Chalanata (mode 3) 5: 0 1 2 4 7 8 9 | (mode 4) 6: 0 1 3 6 7 8 11 | mMb13b9#11 = mela 45 Shubhapantuvarali = todi that (mode 5) 7: 0 2 5 6 7 10 11 | (mode 6) 9: 0 3 4 5 8 9 10 | 13#5#9 (mode 0) 0: 0 1 2 5 7 8 9 | (mode 1) 1: 0 1 4 6 7 8 11 | M#13b9#11 = mela 51 Kaamavardini = purvi that (mode 2) 2: 0 3 5 6 7 10 11 | manic depression blues scale (mode 3) 5: 0 2 3 4 7 8 9 | (mode 4) 7: 0 1 2 5 6 7 10 | (mode 5) 8: 0 1 4 5 6 9 11 | M13b5b9 (mode 6) 9: 0 3 4 5 8 10 11 | M7#13#5#9 (mode 0) 0: 0 2 5 6 7 8 9 | (mode 1) 2: 0 3 4 5 6 7 10 | (mode 2) 5: 0 1 2 3 4 7 9 | (mode 3) 6: 0 1 2 3 6 8 11 | (mode 4) 7: 0 1 2 5 7 10 11 | mela 6 Tanarupi (mode 5) 8: 0 1 4 6 9 10 11 | (mode 6) 9: 0 3 5 8 9 10 11 | (mode 0) 0: 0 2 5 6 7 9 10 11 | (mode 1) 2: 0 3 4 5 7 8 9 10 | mela 31 Yagapriya (mode 2) 5: 0 1 2 4 5 6 7 9 | (mode 3) 6: 0 1 3 4 5 6 8 11 | (mode 4) 7: 0 2 3 4 5 7 10 11 | (mode 5) 9: 0 1 2 3 5 8 9 10 | (mode 6) 10: 0 1 2 4 7 8 9 11 | (mode 7) 11: 0 1 3 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 | (mode 1) 2: 0 1 2 3 5 6 7 10 | (mode 2) 3: 0 1 2 4 5 6 9 11 | (mode 3) 4: 0 1 3 4 5 8 10 11 | (mode 4) 5: 0 2 3 4 7 9 10 11 | (mode 5) 7: 0 1 2 5 7 8 9 10 | (mode 6) 8: 0 1 4 6 7 8 9 11 | (mode 7) 9: 0 3 5 6 7 8 10 11 | (mode 0) 0: 0 1 2 3 4 5 7 9 | (mode 1) 1: 0 1 2 3 4 6 8 11 | (mode 2) 2: 0 1 2 3 5 7 10 11 | (mode 3) 3: 0 1 2 4 6 9 10 11 | (mode 4) 4: 0 1 3 5 8 9 10 11 | (mode 5) 5: 0 2 4 7 8 9 10 11 | (mode 6) 7: 0 2 5 6 7 8 9 10 | (mode 7) 9: 0 3 4 5 6 7 8 10 | (mode 0) 0: 0 2 3 4 5 6 7 9 | (mode 1) 2: 0 1 2 3 4 5 7 10 | (mode 2) 3: 0 1 2 3 4 6 9 11 | (mode 3) 4: 0 1 2 3 5 8 10 11 | (mode 4) 5: 0 1 2 4 7 9 10 11 | (mode 5) 6: 0 1 3 6 8 9 10 11 | (mode 6) 7: 0 2 5 7 8 9 10 11 | (mode 7) 9: 0 3 5 6 7 8 9 10 | (mode 0) 0: 0 1 2 5 6 7 8 9 | (mode 1) 1: 0 1 4 5 6 7 8 11 | (mode 2) 2: 0 3 4 5 6 7 10 11 | (mode 3) 5: 0 1 2 3 4 7 8 9 | (mode 4) 6: 0 1 2 3 6 7 8 11 | (mode 5) 7: 0 1 2 5 6 7 10 11 | (mode 6) 8: 0 1 4 5 6 9 10 11 | (mode 7) 9: 0 3 4 5 8 9 10 11 | (mode 0) 0: 0 1 2 5 7 9 10 11 | (mode 1) 1: 0 1 4 6 8 9 10 11 | (mode 2) 2: 0 3 5 7 8 9 10 11 | (mode 3) 5: 0 2 4 5 6 7 8 9 | (mode 4) 7: 0 2 3 4 5 6 7 10 | (mode 5) 9: 0 1 2 3 4 5 8 10 | (mode 6) 10: 0 1 2 3 4 7 9 11 | (mode 7) 11: 0 1 2 3 6 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 11 | iodorian scale = mixolydian & melodic minor (mode 1) 2: 0 1 2 3 5 7 8 9 10 | phrygidorian scale (mode 2) 3: 0 1 2 4 6 7 8 9 11 | 9-note 5ths stack (mode 3) 4: 0 1 3 5 6 7 8 10 11 | (mode 4) 5: 0 2 4 5 6 7 9 10 11 | lydiomixlydian scale = ryo scale with all secondary tones (mode 5) 7: 0 2 3 4 5 7 8 9 10 | mixaeolean (mode 6) 9: 0 1 2 3 5 6 7 8 10 | (mode 7) 10: 0 1 2 4 5 6 7 9 11 | (mode 8) 11: 0 1 3 4 5 6 8 10 11 | (mode 0) 0: 0 1 2 3 4 5 7 8 9 | (mode 1) 1: 0 1 2 3 4 6 7 8 11 | (mode 2) 2: 0 1 2 3 5 6 7 10 11 | (mode 3) 3: 0 1 2 4 5 6 9 10 11 | (mode 4) 4: 0 1 3 4 5 8 9 10 11 | (mode 5) 5: 0 2 3 4 7 8 9 10 11 | (mode 6) 7: 0 1 2 5 6 7 8 9 10 | (mode 7) 8: 0 1 4 5 6 7 8 9 11 | (mode 8) 9: 0 3 4 5 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 1) 2: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 2) 3: 0 1 2 4 5 6 7 8 9 11 | (mode 3) 4: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 4) 5: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 5) 7: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 6) 8: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 7) 9: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 8) 10: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 9) 11: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 0) 0: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 1) 2: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 2) 3: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 3) 4: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 4) 5: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 5) 6: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 6) 7: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 7) 9: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 8) 10: 0 1 2 4 5 6 7 8 9 11 | (mode 9) 11: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale chromaticized keep 0 7: (mode 0) 0: 0 2 5 6 7 9 | (mode 1) 2: 0 3 4 5 7 10 | 11#9 (mode 2) 5: 0 1 2 4 7 9 | (mode 3) 6: 0 1 3 6 8 11 | (mode 4) 7: 0 2 5 7 10 11 | (mode 5) 9: 0 3 5 8 9 10 | (mode 0) 0: 0 2 5 7 8 9 | (mode 1) 2: 0 3 5 6 7 10 | minor blues = blues hexachord (mode 2) 5: 0 2 3 4 7 9 | major blues (mode 3) 7: 0 1 2 5 7 10 | (mode 4) 8: 0 1 4 6 9 11 | (mode 5) 9: 0 3 5 8 10 11 | (mode 0) 0: 0 1 2 5 7 9 | (mode 1) 1: 0 1 4 6 8 11 | (mode 2) 2: 0 3 5 7 10 11 | mM7#13 no 9th (mode 3) 5: 0 2 4 7 8 9 | (mode 4) 7: 0 2 5 6 7 10 | (mode 5) 9: 0 3 4 5 8 10 | (mode 0) 0: 0 2 3 4 5 7 9 | (mode 1) 2: 0 1 2 3 5 7 10 | (mode 2) 3: 0 1 2 4 6 9 11 | (mode 3) 4: 0 1 3 5 8 10 11 | m#13#5b9 (mode 4) 5: 0 2 4 7 9 10 11 | (mode 5) 7: 0 2 5 7 8 9 10 | (mode 6) 9: 0 3 5 6 7 8 10 | (mode 0) 0: 0 2 5 7 9 10 11 | (mode 1) 2: 0 3 5 7 8 9 10 | (mode 2) 5: 0 2 4 5 6 7 9 | (mode 3) 7: 0 2 3 4 5 7 10 | (mode 4) 9: 0 1 2 3 5 8 10 | (mode 5) 10: 0 1 2 4 7 9 11 | (mode 6) 11: 0 1 3 6 8 10 11 | m#13b9#11 (mode 0) 0: 0 1 2 5 6 7 9 | (mode 1) 1: 0 1 4 5 6 8 11 | M7b13#5b9#11 = Persian scale (mode 2) 2: 0 3 4 5 7 10 11 | M#13#9 = mela 36 Chalanata (mode 3) 5: 0 1 2 4 7 8 9 | (mode 4) 6: 0 1 3 6 7 8 11 | mMb13b9#11 = mela 45 Shubhapantuvarali = todi that (mode 5) 7: 0 2 5 6 7 10 11 | (mode 6) 9: 0 3 4 5 8 9 10 | 13#5#9 (mode 0) 0: 0 1 2 5 7 8 9 | (mode 1) 1: 0 1 4 6 7 8 11 | M#13b9#11 = mela 51 Kaamavardini = purvi that (mode 2) 2: 0 3 5 6 7 10 11 | manic depression blues scale (mode 3) 5: 0 2 3 4 7 8 9 | (mode 4) 7: 0 1 2 5 6 7 10 | (mode 5) 8: 0 1 4 5 6 9 11 | M13b5b9 (mode 6) 9: 0 3 4 5 8 10 11 | M7#13#5#9 (mode 0) 0: 0 2 5 6 7 8 9 | (mode 1) 2: 0 3 4 5 6 7 10 | (mode 2) 5: 0 1 2 3 4 7 9 | (mode 3) 6: 0 1 2 3 6 8 11 | (mode 4) 7: 0 1 2 5 7 10 11 | mela 6 Tanarupi (mode 5) 8: 0 1 4 6 9 10 11 | (mode 6) 9: 0 3 5 8 9 10 11 | (mode 0) 0: 0 2 5 6 7 9 10 11 | (mode 1) 2: 0 3 4 5 7 8 9 10 | mela 31 Yagapriya (mode 2) 5: 0 1 2 4 5 6 7 9 | (mode 3) 6: 0 1 3 4 5 6 8 11 | (mode 4) 7: 0 2 3 4 5 7 10 11 | (mode 5) 9: 0 1 2 3 5 8 9 10 | (mode 6) 10: 0 1 2 4 7 8 9 11 | (mode 7) 11: 0 1 3 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 | (mode 1) 2: 0 1 2 3 5 6 7 10 | (mode 2) 3: 0 1 2 4 5 6 9 11 | (mode 3) 4: 0 1 3 4 5 8 10 11 | (mode 4) 5: 0 2 3 4 7 9 10 11 | (mode 5) 7: 0 1 2 5 7 8 9 10 | (mode 6) 8: 0 1 4 6 7 8 9 11 | (mode 7) 9: 0 3 5 6 7 8 10 11 | (mode 0) 0: 0 1 2 3 4 5 7 9 | (mode 1) 1: 0 1 2 3 4 6 8 11 | (mode 2) 2: 0 1 2 3 5 7 10 11 | (mode 3) 3: 0 1 2 4 6 9 10 11 | (mode 4) 4: 0 1 3 5 8 9 10 11 | (mode 5) 5: 0 2 4 7 8 9 10 11 | (mode 6) 7: 0 2 5 6 7 8 9 10 | (mode 7) 9: 0 3 4 5 6 7 8 10 | (mode 0) 0: 0 2 3 4 5 6 7 9 | (mode 1) 2: 0 1 2 3 4 5 7 10 | (mode 2) 3: 0 1 2 3 4 6 9 11 | (mode 3) 4: 0 1 2 3 5 8 10 11 | (mode 4) 5: 0 1 2 4 7 9 10 11 | (mode 5) 6: 0 1 3 6 8 9 10 11 | (mode 6) 7: 0 2 5 7 8 9 10 11 | (mode 7) 9: 0 3 5 6 7 8 9 10 | (mode 0) 0: 0 1 2 5 6 7 8 9 | (mode 1) 1: 0 1 4 5 6 7 8 11 | (mode 2) 2: 0 3 4 5 6 7 10 11 | (mode 3) 5: 0 1 2 3 4 7 8 9 | (mode 4) 6: 0 1 2 3 6 7 8 11 | (mode 5) 7: 0 1 2 5 6 7 10 11 | (mode 6) 8: 0 1 4 5 6 9 10 11 | (mode 7) 9: 0 3 4 5 8 9 10 11 | (mode 0) 0: 0 1 2 5 7 9 10 11 | (mode 1) 1: 0 1 4 6 8 9 10 11 | (mode 2) 2: 0 3 5 7 8 9 10 11 | (mode 3) 5: 0 2 4 5 6 7 8 9 | (mode 4) 7: 0 2 3 4 5 6 7 10 | (mode 5) 9: 0 1 2 3 4 5 8 10 | (mode 6) 10: 0 1 2 3 4 7 9 11 | (mode 7) 11: 0 1 2 3 6 8 10 11 | (mode 0) 0: 0 2 5 7 8 9 10 11 | (mode 1) 2: 0 3 5 6 7 8 9 10 | (mode 2) 5: 0 2 3 4 5 6 7 9 | (mode 3) 7: 0 1 2 3 4 5 7 10 | (mode 4) 8: 0 1 2 3 4 6 9 11 | (mode 5) 9: 0 1 2 3 5 8 10 11 | (mode 6) 10: 0 1 2 4 7 9 10 11 | (mode 7) 11: 0 1 3 6 8 9 10 11 | (mode 0) 0: 0 1 2 5 6 7 9 10 11 | (mode 1) 1: 0 1 4 5 6 8 9 10 11 | (mode 2) 2: 0 3 4 5 7 8 9 10 11 | (mode 3) 5: 0 1 2 4 5 6 7 8 9 | (mode 4) 6: 0 1 3 4 5 6 7 8 11 | (mode 5) 7: 0 2 3 4 5 6 7 10 11 | (mode 6) 9: 0 1 2 3 4 5 8 9 10 | (mode 7) 10: 0 1 2 3 4 7 8 9 11 | (mode 8) 11: 0 1 2 3 6 7 8 10 11 | (mode 0) 0: 0 1 2 3 4 5 7 8 9 | (mode 1) 1: 0 1 2 3 4 6 7 8 11 | (mode 2) 2: 0 1 2 3 5 6 7 10 11 | (mode 3) 3: 0 1 2 4 5 6 9 10 11 | (mode 4) 4: 0 1 3 4 5 8 9 10 11 | (mode 5) 5: 0 2 3 4 7 8 9 10 11 | (mode 6) 7: 0 1 2 5 6 7 8 9 10 | (mode 7) 8: 0 1 4 5 6 7 8 9 11 | (mode 8) 9: 0 3 4 5 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 11 | iodorian scale = mixolydian & melodic minor (mode 1) 2: 0 1 2 3 5 7 8 9 10 | phrygidorian scale (mode 2) 3: 0 1 2 4 6 7 8 9 11 | 9-note 5ths stack (mode 3) 4: 0 1 3 5 6 7 8 10 11 | (mode 4) 5: 0 2 4 5 6 7 9 10 11 | lydiomixlydian scale = ryo scale with all secondary tones (mode 5) 7: 0 2 3 4 5 7 8 9 10 | mixaeolean (mode 6) 9: 0 1 2 3 5 6 7 8 10 | (mode 7) 10: 0 1 2 4 5 6 7 9 11 | (mode 8) 11: 0 1 3 4 5 6 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 1) 2: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 2) 3: 0 1 2 4 5 6 7 8 9 11 | (mode 3) 4: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 4) 5: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 5) 7: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 6) 8: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 7) 9: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 8) 10: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 9) 11: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 0) 0: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 1) 2: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 2) 3: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 3) 4: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 4) 5: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 5) 6: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 6) 7: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 7) 9: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 8) 10: 0 1 2 4 5 6 7 8 9 11 | (mode 9) 11: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 5 6 7 9 | (mode 1) 2: 0 3 4 5 7 10 | 11#9 (mode 2) 5: 0 1 2 4 7 9 | (mode 3) 6: 0 1 3 6 8 11 | (mode 4) 7: 0 2 5 7 10 11 | (mode 5) 9: 0 3 5 8 9 10 | (mode 0) 0: 0 1 2 5 7 9 | (mode 1) 1: 0 1 4 6 8 11 | (mode 2) 2: 0 3 5 7 10 11 | mM7#13 no 9th (mode 3) 5: 0 2 4 7 8 9 | (mode 4) 7: 0 2 5 6 7 10 | (mode 5) 9: 0 3 4 5 8 10 | (mode 0) 0: 0 2 5 7 8 9 | (mode 1) 2: 0 3 5 6 7 10 | minor blues = blues hexachord (mode 2) 5: 0 2 3 4 7 9 | major blues (mode 3) 7: 0 1 2 5 7 10 | (mode 4) 8: 0 1 4 6 9 11 | (mode 5) 9: 0 3 5 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 | (mode 1) 2: 0 1 2 3 5 7 10 | (mode 2) 3: 0 1 2 4 6 9 11 | (mode 3) 4: 0 1 3 5 8 10 11 | m#13#5b9 (mode 4) 5: 0 2 4 7 9 10 11 | (mode 5) 7: 0 2 5 7 8 9 10 | (mode 6) 9: 0 3 5 6 7 8 10 | (mode 0) 0: 0 1 2 5 6 7 9 | (mode 1) 1: 0 1 4 5 6 8 11 | M7b13#5b9#11 = Persian scale (mode 2) 2: 0 3 4 5 7 10 11 | M#13#9 = mela 36 Chalanata (mode 3) 5: 0 1 2 4 7 8 9 | (mode 4) 6: 0 1 3 6 7 8 11 | mMb13b9#11 = mela 45 Shubhapantuvarali = todi that (mode 5) 7: 0 2 5 6 7 10 11 | (mode 6) 9: 0 3 4 5 8 9 10 | 13#5#9 (mode 0) 0: 0 2 5 6 7 8 9 | (mode 1) 2: 0 3 4 5 6 7 10 | (mode 2) 5: 0 1 2 3 4 7 9 | (mode 3) 6: 0 1 2 3 6 8 11 | (mode 4) 7: 0 1 2 5 7 10 11 | mela 6 Tanarupi (mode 5) 8: 0 1 4 6 9 10 11 | (mode 6) 9: 0 3 5 8 9 10 11 | (mode 0) 0: 0 2 5 7 9 10 11 | (mode 1) 2: 0 3 5 7 8 9 10 | (mode 2) 5: 0 2 4 5 6 7 9 | (mode 3) 7: 0 2 3 4 5 7 10 | (mode 4) 9: 0 1 2 3 5 8 10 | (mode 5) 10: 0 1 2 4 7 9 11 | (mode 6) 11: 0 1 3 6 8 10 11 | m#13b9#11 (mode 0) 0: 0 1 2 5 7 8 9 | (mode 1) 1: 0 1 4 6 7 8 11 | M#13b9#11 = mela 51 Kaamavardini = purvi that (mode 2) 2: 0 3 5 6 7 10 11 | manic depression blues scale (mode 3) 5: 0 2 3 4 7 8 9 | (mode 4) 7: 0 1 2 5 6 7 10 | (mode 5) 8: 0 1 4 5 6 9 11 | M13b5b9 (mode 6) 9: 0 3 4 5 8 10 11 | M7#13#5#9 (mode 0) 0: 0 2 5 6 7 9 10 11 | (mode 1) 2: 0 3 4 5 7 8 9 10 | mela 31 Yagapriya (mode 2) 5: 0 1 2 4 5 6 7 9 | (mode 3) 6: 0 1 3 4 5 6 8 11 | (mode 4) 7: 0 2 3 4 5 7 10 11 | (mode 5) 9: 0 1 2 3 5 8 9 10 | (mode 6) 10: 0 1 2 4 7 8 9 11 | (mode 7) 11: 0 1 3 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 | (mode 1) 2: 0 1 2 3 5 6 7 10 | (mode 2) 3: 0 1 2 4 5 6 9 11 | (mode 3) 4: 0 1 3 4 5 8 10 11 | (mode 4) 5: 0 2 3 4 7 9 10 11 | (mode 5) 7: 0 1 2 5 7 8 9 10 | (mode 6) 8: 0 1 4 6 7 8 9 11 | (mode 7) 9: 0 3 5 6 7 8 10 11 | (mode 0) 0: 0 1 2 3 4 5 7 9 | (mode 1) 1: 0 1 2 3 4 6 8 11 | (mode 2) 2: 0 1 2 3 5 7 10 11 | (mode 3) 3: 0 1 2 4 6 9 10 11 | (mode 4) 4: 0 1 3 5 8 9 10 11 | (mode 5) 5: 0 2 4 7 8 9 10 11 | (mode 6) 7: 0 2 5 6 7 8 9 10 | (mode 7) 9: 0 3 4 5 6 7 8 10 | (mode 0) 0: 0 2 3 4 5 6 7 9 | (mode 1) 2: 0 1 2 3 4 5 7 10 | (mode 2) 3: 0 1 2 3 4 6 9 11 | (mode 3) 4: 0 1 2 3 5 8 10 11 | (mode 4) 5: 0 1 2 4 7 9 10 11 | (mode 5) 6: 0 1 3 6 8 9 10 11 | (mode 6) 7: 0 2 5 7 8 9 10 11 | (mode 7) 9: 0 3 5 6 7 8 9 10 | (mode 0) 0: 0 1 2 5 6 7 8 9 | (mode 1) 1: 0 1 4 5 6 7 8 11 | (mode 2) 2: 0 3 4 5 6 7 10 11 | (mode 3) 5: 0 1 2 3 4 7 8 9 | (mode 4) 6: 0 1 2 3 6 7 8 11 | (mode 5) 7: 0 1 2 5 6 7 10 11 | (mode 6) 8: 0 1 4 5 6 9 10 11 | (mode 7) 9: 0 3 4 5 8 9 10 11 | (mode 0) 0: 0 1 2 5 7 9 10 11 | (mode 1) 1: 0 1 4 6 8 9 10 11 | (mode 2) 2: 0 3 5 7 8 9 10 11 | (mode 3) 5: 0 2 4 5 6 7 8 9 | (mode 4) 7: 0 2 3 4 5 6 7 10 | (mode 5) 9: 0 1 2 3 4 5 8 10 | (mode 6) 10: 0 1 2 3 4 7 9 11 | (mode 7) 11: 0 1 2 3 6 8 10 11 | (mode 0) 0: 0 2 5 7 8 9 10 11 | (mode 1) 2: 0 3 5 6 7 8 9 10 | (mode 2) 5: 0 2 3 4 5 6 7 9 | (mode 3) 7: 0 1 2 3 4 5 7 10 | (mode 4) 8: 0 1 2 3 4 6 9 11 | (mode 5) 9: 0 1 2 3 5 8 10 11 | (mode 6) 10: 0 1 2 4 7 9 10 11 | (mode 7) 11: 0 1 3 6 8 9 10 11 | (mode 0) 0: 0 1 2 5 6 7 9 10 11 | (mode 1) 1: 0 1 4 5 6 8 9 10 11 | (mode 2) 2: 0 3 4 5 7 8 9 10 11 | (mode 3) 5: 0 1 2 4 5 6 7 8 9 | (mode 4) 6: 0 1 3 4 5 6 7 8 11 | (mode 5) 7: 0 2 3 4 5 6 7 10 11 | (mode 6) 9: 0 1 2 3 4 5 8 9 10 | (mode 7) 10: 0 1 2 3 4 7 8 9 11 | (mode 8) 11: 0 1 2 3 6 7 8 10 11 | (mode 0) 0: 0 1 2 3 4 5 7 8 9 | (mode 1) 1: 0 1 2 3 4 6 7 8 11 | (mode 2) 2: 0 1 2 3 5 6 7 10 11 | (mode 3) 3: 0 1 2 4 5 6 9 10 11 | (mode 4) 4: 0 1 3 4 5 8 9 10 11 | (mode 5) 5: 0 2 3 4 7 8 9 10 11 | (mode 6) 7: 0 1 2 5 6 7 8 9 10 | (mode 7) 8: 0 1 4 5 6 7 8 9 11 | (mode 8) 9: 0 3 4 5 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 11 | iodorian scale = mixolydian & melodic minor (mode 1) 2: 0 1 2 3 5 7 8 9 10 | phrygidorian scale (mode 2) 3: 0 1 2 4 6 7 8 9 11 | 9-note 5ths stack (mode 3) 4: 0 1 3 5 6 7 8 10 11 | (mode 4) 5: 0 2 4 5 6 7 9 10 11 | lydiomixlydian scale = ryo scale with all secondary tones (mode 5) 7: 0 2 3 4 5 7 8 9 10 | mixaeolean (mode 6) 9: 0 1 2 3 5 6 7 8 10 | (mode 7) 10: 0 1 2 4 5 6 7 9 11 | (mode 8) 11: 0 1 3 4 5 6 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 1) 2: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 2) 3: 0 1 2 4 5 6 7 8 9 11 | (mode 3) 4: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 4) 5: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 5) 7: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 6) 8: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 7) 9: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 8) 10: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 9) 11: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 0) 0: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 1) 2: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 2) 3: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 3) 4: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 4) 5: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 5) 6: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 6) 7: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 7) 9: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 8) 10: 0 1 2 4 5 6 7 8 9 11 | (mode 9) 11: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: N/A alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 4 0 0 2 7 9 0 5 = 0: 0 5 = 5: 0 7 3 0 0 2 7 0 5 7 = 0: 0 5 7 = 5: 0 2 7 = 7: 0 5 10 2 0 0 7 0 2 5 7 = 0: 0 2 5 7 = 2: 0 3 5 10 = 5: 0 2 7 9 = 7: 0 5 7 10 1 0 0 0 2 5 7 9 = 0: 0 2 5 7 9 = 2: 0 3 5 7 10 = 5: 0 2 4 7 9 = 7: 0 2 5 7 10 = 9: 0 3 5 8 10 2 2 2 9 0 3 5 = 0: 0 3 5 = 3: 0 2 9 = 5: 0 7 10 2 2 2 9 0 3 10 = 0: 0 3 10 = 3: 0 7 9 = 10: 0 2 5 2 2 2 9 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 1 2 2 0 3 5 7 10 = 0: 0 3 5 7 10 = 3: 0 2 4 7 9 = 5: 0 2 5 7 10 = 7: 0 3 5 8 10 = 10: 0 2 5 7 9 5 5 0 2 5 7 9 0 = 0: 0 4 5 0 2 5 7 0 7 = 0: 0 7 = 7: 0 5 3 5 0 5 7 0 2 = 0: 0 2 = 2: 0 10 3 5 0 5 7 0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7 2 5 0 5 0 7 9 = 0: 0 7 9 = 7: 0 2 5 = 9: 0 3 10 2 5 0 5 0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10 1 5 5 0 2 4 7 9 = 0: 0 2 4 7 9 = 2: 0 2 5 7 10 = 4: 0 3 5 8 10 = 7: 0 2 5 7 9 = 9: 0 3 5 7 10 3 7 2 7 9 0 10 = 0: 0 10 = 10: 0 2 3 7 2 7 9 0 5 10 = 0: 0 5 10 = 5: 0 5 7 = 10: 0 2 7 2 7 2 7 0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9 2 7 2 7 0 5 7 10 = 0: 0 5 7 10 = 5: 0 2 5 7 = 7: 0 3 5 10 = 10: 0 2 7 9 1 7 7 0 2 5 7 10 = 0: 0 2 5 7 10 = 2: 0 3 5 8 10 = 5: 0 2 5 7 9 = 7: 0 3 5 7 10 = 10: 0 2 4 7 9 Bright Layer Composition order pcset 1 0 2 5 7 9 = 0: 0 2 5 7 9 = 2: 0 3 5 7 10 = 5: 0 2 4 7 9 = 7: 0 2 5 7 10 = 9: 0 3 5 8 10 2 0 2 4 5 7 9 = 0: 0 2 4 5 7 9 = 2: 0 2 3 5 7 10 = 4: 0 1 3 5 8 10 = 5: 0 2 4 7 9 11 = 7: 0 2 5 7 9 10 = 9: 0 3 5 7 8 10 3 0 2 4 5 7 9 11 = 0: 0 2 4 5 7 9 11 = 2: 0 2 3 5 7 9 10 = 4: 0 1 3 5 7 8 10 = 5: 0 2 4 6 7 9 11 = 7: 0 2 4 5 7 9 10 = 9: 0 2 3 5 7 8 10 = 11: 0 1 3 5 6 8 10 4 0 2 4 5 6 7 9 11 = 0: 0 2 4 5 6 7 9 11 = 2: 0 2 3 4 5 7 9 10 = 4: 0 1 2 3 5 7 8 10 = 5: 0 1 2 4 6 7 9 11 = 6: 0 1 3 5 6 8 10 11 = 7: 0 2 4 5 7 9 10 11 = 9: 0 2 3 5 7 8 9 10 = 11: 0 1 3 5 6 7 8 10 5 0 1 2 4 5 6 7 9 11 = 0: 0 1 2 4 5 6 7 9 11 = 1: 0 1 3 4 5 6 8 10 11 = 2: 0 2 3 4 5 7 9 10 11 = 4: 0 1 2 3 5 7 8 9 10 = 5: 0 1 2 4 6 7 8 9 11 = 6: 0 1 3 5 6 7 8 10 11 = 7: 0 2 4 5 6 7 9 10 11 = 9: 0 2 3 4 5 7 8 9 10 = 11: 0 1 2 3 5 6 7 8 10 6 0 1 2 4 5 6 7 8 9 11 = 0: 0 1 2 4 5 6 7 8 9 11 = 1: 0 1 3 4 5 6 7 8 10 11 = 2: 0 2 3 4 5 6 7 9 10 11 = 4: 0 1 2 3 4 5 7 8 9 10 = 5: 0 1 2 3 4 6 7 8 9 11 = 6: 0 1 2 3 5 6 7 8 10 11 = 7: 0 1 2 4 5 6 7 9 10 11 = 8: 0 1 3 4 5 6 8 9 10 11 = 9: 0 2 3 4 5 7 8 9 10 11 = 11: 0 1 2 3 5 6 7 8 9 10 7 0 1 2 3 4 5 6 7 8 9 11 = 0: 0 1 2 3 4 5 6 7 8 9 11 = 1: 0 1 2 3 4 5 6 7 8 10 11 = 2: 0 1 2 3 4 5 6 7 9 10 11 = 3: 0 1 2 3 4 5 6 8 9 10 11 = 4: 0 1 2 3 4 5 7 8 9 10 11 = 5: 0 1 2 3 4 6 7 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 10 11 = 7: 0 1 2 4 5 6 7 8 9 10 11 = 8: 0 1 3 4 5 6 7 8 9 10 11 = 9: 0 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 8 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 2 5 7 9 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 5 = 5 = 5: 0 7 = 7 = 7: 0 9 = 9 = 9: 0 subchroma modal system: 0 1 0 2 = 0 2 = 0: 0 2 2: 0 10 2 5 = 2 5 = 2: 0 3 5: 0 9 5 7 = 5 7 = 5: 0 2 7: 0 10 7 9 = 7 9 = 7: 0 2 9: 0 10 9 0 = 0 9 = 9: 0 3 0: 0 9 subchroma modal system: 0 2 0 5 = 0 5 = 0: 0 5 5: 0 7 2 7 = 2 7 = 2: 0 5 7: 0 7 5 9 = 5 9 = 5: 0 4 9: 0 8 7 0 = 0 7 = 7: 0 5 0: 0 7 9 2 = 2 9 = 9: 0 5 2: 0 7 subchroma modal system: 0 1 2 0 2 5 = 0 2 5 = 2: 0 3 10 5: 0 7 9 2 5 7 = 2 5 7 = 2: 0 3 5 7: 0 7 10 5 7 9 = 5 7 9 = 5: 0 2 4 7 9 0 = 0 7 9 = 9: 0 3 10 0: 0 7 9 9 0 2 = 0 2 9 = 9: 0 3 5 2: 0 7 10 subchroma modal system: 0 1 3 0 2 7 = 0 2 7 = 0: 0 2 7 7: 0 5 7 2: 0 5 10 2 5 9 = 2 5 9 = 2: 0 3 7 5: 0 4 9 5 7 0 = 0 5 7 = 5: 0 2 7 0: 0 5 7 7: 0 5 10 7 9 2 = 2 7 9 = 7: 0 2 7 2: 0 5 7 9: 0 5 10 9 0 5 = 0 5 9 = 5: 0 4 7 subchroma modal system: 0 1 2 3 0 2 5 7 = 0 2 5 7 = 0: 0 2 5 7 5: 0 2 7 9 2: 0 3 5 10 7: 0 5 7 10 2 5 7 9 = 2 5 7 9 = 5: 0 2 4 9 7: 0 2 7 10 2: 0 3 5 7 5 7 9 0 = 0 5 7 9 = 5: 0 2 4 7 0: 0 5 7 9 7 9 0 2 = 0 2 7 9 = 7: 0 2 5 7 0: 0 2 7 9 9: 0 3 5 10 2: 0 5 7 10 9 0 2 5 = 0 2 5 9 = 5: 0 4 7 9 2: 0 3 7 10 subchroma modal system: 0 1 2 3 4 0 2 5 7 9 = 0 2 5 7 9 = 5: 0 2 4 7 9 0: 0 2 5 7 9 7: 0 2 5 7 10 2: 0 3 5 7 10 2 5 7 9 0 = 0 2 5 7 9 = 5: 0 2 4 7 9 0: 0 2 5 7 9 7: 0 2 5 7 10 2: 0 3 5 7 10 5 7 9 0 2 = 0 2 5 7 9 = 5: 0 2 4 7 9 0: 0 2 5 7 9 7: 0 2 5 7 10 2: 0 3 5 7 10 7 9 0 2 5 = 0 2 5 7 9 = 5: 0 2 4 7 9 0: 0 2 5 7 9 7: 0 2 5 7 10 2: 0 3 5 7 10 9 0 2 5 7 = 0 2 5 7 9 = 5: 0 2 4 7 9 0: 0 2 5 7 9 7: 0 2 5 7 10 2: 0 3 5 7 10 Subset Chord Types by Root Set 0 :0 5 7 9 0 :0 2 5 7 9 0 2 5 7 :0 7 0 2 5 7 9:0 0 2 7 :0 5 7 0 2 7 9 :0 5 0 5 :0 9 0 5 :0 7 9 0 5 :0 2 7 9 0 5 7 :0 2 0 5 7 :0 2 7 0 7 :0 2 5 7 2 :0 3 7 2 :0 3 5 7 2 :0 3 7 10 2 :0 3 5 7 10 2 7 :0 7 10 2 7 :0 5 7 10 2 7 9 :0 10 2 7 9 :0 5 10 2 9 :0 3 2 9 :0 3 5 2 9 :0 3 10 2 9 :0 3 5 10 5 :0 4 5 :0 2 4 5 :0 4 7 5 :0 4 9 5 :0 2 4 7 5 :0 2 4 9 5 :0 4 7 9 5 :0 2 4 7 9 7 :0 2 7 10 7 :0 2 5 7 10 9 :0 8 Superset Chord Types by Root Set 0 :0 2 5 7 9 0 :0 1 2 5 7 9 0 :0 2 3 5 7 9 0 :0 2 5 7 9 11 0 :0 1 2 3 5 7 9 0 :0 1 2 5 7 9 11 0 :0 2 3 5 6 7 9 0 :0 2 3 5 7 8 9 0 :0 2 3 5 7 9 11 0 :0 2 5 7 8 9 11 0 :0 1 2 3 5 6 7 9 0 :0 1 2 3 5 7 8 9 0 :0 1 2 3 5 7 9 11 0 :0 1 2 5 6 7 8 9 0 :0 1 2 5 6 7 9 11 0 :0 2 3 5 6 7 8 9 0 :0 2 3 5 6 7 9 11 0 :0 2 3 5 7 8 9 11 0 :0 1 2 3 5 6 7 8 9 0 :0 1 2 3 5 6 7 9 11 0 :0 1 2 3 5 7 8 9 11 0 :0 2 3 5 6 7 8 9 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 3 5 6 8 10 :0 1 2 3 4 5 6 7 8 9 11 0 1 3 5 7 8 10 :0 1 2 4 5 6 7 8 9 10 11 0 1 3 5 8 10 :0 1 2 4 5 6 7 8 9 11 0 2 3 5 7 8 10 :0 1 2 3 4 5 6 7 9 10 11 0 2 3 5 7 9 10 :0 2 3 4 5 6 7 8 9 10 11 0 2 3 5 7 10 :0 2 3 4 5 6 7 9 10 11 0 2 4 5 7 9 :0 1 2 3 4 5 7 8 9 10 0 2 4 5 7 9 10 :0 1 2 3 4 5 7 8 9 10 11 0 2 4 5 7 9 11 :0 1 2 3 4 5 6 7 8 9 10 0 2 4 6 7 9 11 :0 1 2 3 5 6 7 8 9 10 11 0 2 4 7 9 :0 1 2 3 5 7 8 9 10 0 2 4 7 9 :0 1 2 3 5 7 8 9 10 11 0 2 4 7 9 11 :0 1 2 3 5 6 7 8 9 10 0 2 5 7 :0 2 3 4 5 7 9 10 0 2 5 7 :0 1 2 3 4 5 7 9 10 0 2 5 7 :0 2 3 4 5 6 7 9 10 0 2 5 7 :0 1 2 3 4 5 6 7 9 10 0 2 5 7 9 :0 2 3 4 5 7 8 9 10 0 2 5 7 9 :0 2 3 4 5 6 7 8 9 10 0 2 5 7 9 10 :0 2 3 4 5 7 8 9 10 11 0 2 5 7 10 :0 2 3 4 5 7 9 10 11 0 2 5 7 10 :0 1 2 3 4 5 7 9 10 11 0 2 7 :0 2 3 5 7 9 10 0 2 7 :0 1 2 3 5 7 9 10 0 2 7 :0 2 3 5 6 7 9 10 0 2 7 :0 2 3 5 7 9 10 11 0 2 7 :0 1 2 3 5 6 7 9 10 0 2 7 :0 1 2 3 5 7 9 10 11 0 2 7 :0 2 3 5 6 7 9 10 11 0 2 7 :0 1 2 3 5 6 7 9 10 11 0 2 7 9 :0 2 3 5 7 8 9 10 0 2 7 9 :0 2 3 5 6 7 8 9 10 0 2 7 9 :0 2 3 5 7 8 9 10 11 0 2 7 9 :0 2 3 5 6 7 8 9 10 11 0 3 5 7 8 10 :0 1 2 4 5 6 7 9 10 11 0 3 5 7 10 :0 2 4 5 6 7 9 10 11 0 3 5 7 10 :0 2 4 5 6 7 8 9 10 11 0 3 5 8 10 :0 1 2 4 5 6 7 9 11 0 3 5 8 10 :0 1 2 3 4 5 6 7 9 11 0 3 5 10 :0 2 4 5 6 7 9 11 0 3 5 10 :0 2 3 4 5 6 7 9 11 0 3 5 10 :0 2 4 5 6 7 8 9 11 0 3 5 10 :0 2 3 4 5 6 7 8 9 11 0 5 :0 2 4 5 7 9 0 5 :0 1 2 4 5 7 9 0 5 :0 2 3 4 5 7 9 0 5 :0 2 4 5 6 7 9 0 5 :0 2 4 5 7 8 9 0 5 :0 1 2 3 4 5 7 9 0 5 :0 1 2 4 5 6 7 9 0 5 :0 1 2 4 5 7 8 9 0 5 :0 2 3 4 5 7 8 9 0 5 :0 2 3 4 5 6 7 9 0 5 :0 1 2 3 4 5 6 7 9 0 5 :0 1 2 3 4 5 7 8 9 0 5 :0 1 2 4 5 6 7 8 9 0 5 :0 2 3 4 5 6 7 8 9 0 5 :0 1 2 3 4 5 6 7 8 9 0 5 7 :0 2 4 5 7 9 10 0 5 7 :0 1 2 4 5 7 9 10 0 5 7 :0 2 4 5 6 7 9 10 0 5 7 :0 2 4 5 7 8 9 10 0 5 7 :0 1 2 4 5 6 7 9 10 0 5 7 :0 1 2 4 5 7 8 9 10 0 5 7 :0 2 4 5 6 7 8 9 10 0 5 7 :0 1 2 4 5 6 7 8 9 10 0 5 7 10 :0 2 4 5 7 9 10 11 0 5 7 10 :0 1 2 4 5 7 9 10 11 0 5 7 10 :0 2 4 5 7 8 9 10 11 0 5 7 10 :0 1 2 4 5 7 8 9 10 11 0 5 10 :0 2 4 5 7 9 11 0 5 10 :0 1 2 4 5 7 9 11 0 5 10 :0 2 3 4 5 7 9 11 0 5 10 :0 2 4 5 7 8 9 11 0 5 10 :0 1 2 3 4 5 7 9 11 0 5 10 :0 1 2 4 5 7 8 9 11 0 5 10 :0 2 3 4 5 7 8 9 11 0 5 10 :0 1 2 3 4 5 7 8 9 11 0 6 :0 1 2 3 5 6 7 8 9 11 0 7 :0 2 5 7 9 10 0 7 :0 1 2 5 7 9 10 0 7 :0 2 5 7 8 9 10 0 7 :0 2 5 7 9 10 11 0 7 :0 1 2 5 7 9 10 11 0 7 :0 2 5 6 7 8 9 10 0 7 :0 2 5 6 7 9 10 11 0 7 :0 2 5 7 8 9 10 11 0 7 :0 1 2 5 7 8 9 10 11 0 7 :0 1 2 5 6 7 8 9 10 11 1 :0 1 4 5 6 8 11 1 :0 1 4 6 7 8 11 1 :0 1 4 6 8 10 11 1 :0 1 2 4 6 7 8 11 1 :0 1 2 4 6 8 10 11 1 :0 1 4 5 6 7 8 11 1 :0 1 4 5 6 8 10 11 1 :0 1 4 6 7 8 10 11 1 :0 1 2 4 5 6 7 8 11 1 :0 1 2 4 6 7 8 10 11 1 :0 1 4 5 6 7 8 10 11 1 2 4 6 7 9 11 :0 1 2 3 4 5 6 7 8 10 11 1 2 4 6 8 9 11 :0 1 3 4 5 6 7 8 9 10 11 1 2 4 6 9 11 :0 1 3 4 5 6 7 8 10 11 1 3 4 6 8 9 11 :0 1 2 3 4 5 6 8 9 10 11 1 3 5 6 8 10 :0 1 2 3 4 6 7 8 9 11 1 3 5 6 8 10 11 :0 1 2 3 4 6 7 8 9 10 11 1 3 5 8 10 :0 1 2 4 6 7 8 9 11 1 3 5 8 10 :0 1 2 4 6 7 8 9 10 11 1 3 6 8 :0 1 2 3 4 5 6 8 9 11 1 3 6 8 11 :0 1 2 3 4 6 8 9 10 11 1 3 8 :0 1 2 4 5 6 8 9 10 11 1 4 6 8 9 11 :0 1 3 4 5 6 8 9 10 11 1 4 6 9 11 :0 1 2 3 4 5 6 8 10 11 1 6 :0 1 3 4 6 7 8 11 1 6 :0 1 2 3 4 6 7 8 11 1 6 :0 1 3 4 5 6 7 8 11 1 6 :0 1 2 3 4 5 6 7 8 11 1 6 8 :0 1 3 4 6 7 8 9 11 1 6 8 :0 1 3 4 5 6 7 8 9 11 1 6 8 11 :0 1 3 4 6 7 8 9 10 11 1 6 11 :0 1 3 4 6 8 10 11 1 6 11 :0 1 2 3 4 6 8 10 11 1 6 11 :0 1 3 4 6 7 8 10 11 1 6 11 :0 1 2 3 4 6 7 8 10 11 1 7 :0 1 2 4 5 6 7 8 10 11 1 8 :0 1 4 6 8 9 11 1 8 :0 1 4 6 7 8 9 11 1 8 :0 1 4 5 6 7 8 9 11 1 8 :0 1 4 6 7 8 9 10 11 1 8 :0 1 4 5 6 7 8 9 10 11 2 :0 3 5 7 10 2 :0 1 3 5 7 10 2 :0 3 4 5 7 10 2 :0 3 5 6 7 10 2 :0 3 5 7 9 10 2 :0 3 5 7 10 11 2 :0 1 3 4 5 7 10 2 :0 1 3 5 6 7 10 2 :0 3 4 5 6 7 10 2 :0 1 3 5 7 9 10 2 :0 1 3 5 7 10 11 2 :0 3 4 5 7 9 10 2 :0 3 4 5 7 10 11 2 :0 3 5 6 7 9 10 2 :0 3 5 6 7 10 11 2 :0 3 5 7 9 10 11 2 :0 1 3 4 5 6 7 10 2 :0 1 3 4 5 7 9 10 2 :0 1 3 4 5 7 10 11 2 :0 1 3 5 6 7 9 10 2 :0 1 3 5 6 7 10 11 2 :0 3 4 5 6 7 9 10 2 :0 3 4 5 6 7 10 11 2 :0 1 3 5 7 9 10 11 2 :0 3 4 5 7 9 10 11 2 :0 3 5 6 7 9 10 11 2 :0 1 3 4 5 6 7 9 10 2 :0 1 3 4 5 6 7 10 11 2 :0 1 3 4 5 7 9 10 11 2 :0 1 3 5 6 7 9 10 11 2 :0 3 4 5 6 7 9 10 11 2 4 6 7 9 11 :0 1 2 3 5 6 7 8 10 11 2 4 6 9 11 :0 1 3 5 6 7 8 9 10 11 2 4 7 9 :0 1 2 3 5 7 8 10 2 4 7 9 :0 1 2 3 4 5 7 8 10 2 4 7 9 :0 1 2 3 5 7 8 10 11 2 4 7 9 :0 1 2 3 4 5 7 8 10 11 2 4 7 9 11 :0 1 2 3 5 6 7 8 10 2 4 7 9 11 :0 1 2 3 4 5 6 7 8 10 2 4 9 :0 1 3 5 7 8 10 2 4 9 :0 1 3 4 5 7 8 10 2 4 9 :0 1 3 5 7 8 9 10 2 4 9 :0 1 3 5 7 8 10 11 2 4 9 :0 1 3 4 5 7 8 9 10 2 4 9 :0 1 3 4 5 7 8 10 11 2 4 9 :0 1 3 5 7 8 9 10 11 2 4 9 :0 1 3 4 5 7 8 9 10 11 2 4 9 11 :0 1 3 4 5 6 7 8 10 2 4 9 11 :0 1 3 5 6 7 8 9 10 2 4 9 11 :0 1 3 4 5 6 7 8 9 10 2 7 :0 2 3 5 7 10 2 7 :0 1 2 3 5 7 10 2 7 :0 2 3 4 5 7 10 2 7 :0 2 3 5 6 7 10 2 7 :0 2 3 5 7 10 11 2 7 :0 1 2 3 4 5 7 10 2 7 :0 1 2 3 5 6 7 10 2 7 :0 2 3 4 5 6 7 10 2 7 :0 1 2 3 5 7 10 11 2 7 :0 2 3 4 5 7 10 11 2 7 :0 2 3 5 6 7 10 11 2 7 :0 1 2 3 4 5 6 7 10 2 7 :0 1 2 3 4 5 7 10 11 2 7 :0 1 2 3 5 6 7 10 11 2 7 :0 2 3 4 5 6 7 10 11 2 7 :0 1 2 3 4 5 6 7 10 11 2 7 9 :0 2 3 5 7 8 10 2 7 9 :0 2 3 4 5 7 8 10 2 7 9 :0 2 3 5 6 7 8 10 2 7 9 :0 2 3 5 7 8 10 11 2 7 9 :0 2 3 4 5 6 7 8 10 2 7 9 :0 2 3 4 5 7 8 10 11 2 7 9 :0 2 3 5 6 7 8 10 11 2 7 9 :0 2 3 4 5 6 7 8 10 11 2 8 :0 1 3 4 5 6 7 9 10 11 2 9 :0 3 5 7 8 10 2 9 :0 3 4 5 7 8 10 2 9 :0 3 5 6 7 8 10 2 9 :0 3 5 7 8 9 10 2 9 :0 3 5 7 8 10 11 2 9 :0 3 4 5 6 7 8 10 2 9 :0 3 4 5 7 8 9 10 2 9 :0 3 4 5 7 8 10 11 2 9 :0 3 5 6 7 8 9 10 2 9 :0 3 5 6 7 8 10 11 2 9 :0 3 5 7 8 9 10 11 2 9 :0 3 4 5 6 7 8 9 10 2 9 :0 3 4 5 6 7 8 10 11 2 9 :0 3 4 5 7 8 9 10 11 2 9 :0 3 5 6 7 8 9 10 11 2 9 :0 3 4 5 6 7 8 9 10 11 3 :0 2 4 5 6 9 11 3 :0 2 4 6 8 9 11 3 :0 2 3 4 6 9 10 11 3 :0 2 4 5 6 9 10 11 3

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

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

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

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

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