Chord Type: 0 1 4 7 8

0 1 4 7 8 = Bridge chord

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Chord Type: 0 1 4 7 8

Modal System Fun Facts 0 1 4 7 8 Subset of Harmonic Minor Modal System Inversionally Symmetrical Subset of Dorian Blues Scale Subset of Harmonic Major Modal System General Statistics Cardinality: 5 Jordan Number: 5-42 Forte Number: 5-22 Forte Prime Form: [0,1,4,7,8] Zeitler Scale Name: Daptitonic Ian Ring's Scale Page 403 Root Reference: 0 1 4 7 8 Tone Stacking: 0 1 3 3 1 Interval Stacking: 1 3 3 1 4 Binary: 1 1 0 0 1 0 0 1 1 0 0 0 Decimal Value: 403 Interval Vector: 2 0 2 3 2 1 Inversional Symmetry: yes (axes of symmetry: 4 10) Transpositional Symmetry: no Melodic Adjacency (0-1): 0.250 Harmonic Adjacency (0-1): 0.250 Modal-system-invariant under multiplication by: 1 5 7 11 Modal System Balanced: yes Diachromatic Family: 6/9 chords (Scale Degrees: 12356) 0 1 3 6 9 0 1 3 7 8 0 1 3 7 9 ->0 1 4 7 8 = Bridge chord 0 1 4 7 9 = Elektra chord 0 2 3 7 8 = min. Hirajoshi, tizita min. 0 2 3 7 9 = m6/9, akebono, Thai1 0 2 4 6 8 = whole tone pentachord 0 2 4 7 8 0 2 4 7 9 = maj. pent., 5 in 5ths, ryo, tizita maj. 0 3 4 6 9 0 3 4 7 8 0 3 4 7 9 = slendro All Transpositions of Chord Type: +0= 0 1 4 7 8 |Bridge chord +1= 1 2 5 8 9 | +2= 2 3 6 9 10 | +3= 3 4 7 10 11 | +4= 0 4 5 8 11 | +5= 0 1 5 6 9 | +6= 1 2 6 7 10 | +7= 2 3 7 8 11 | +8= 0 3 4 8 9 | +9= 1 4 5 9 10 | +10= 2 5 6 10 11 | +11= 0 3 6 7 11 |mM7#11 no 9th = batti minor 4/7# = minor major Egyptian pentachord Modes of Chord Type: (mode 0) 0: 0 1 4 7 8 | Bridge chord (mode 1) 1: 0 3 6 7 11 | mM7#11 no 9th = batti minor 4/7# = minor major Egyptian pentachord (mode 2) 4: 0 3 4 8 9 | (mode 3) 7: 0 1 5 6 9 | (mode 4) 8: 0 4 5 8 11 | Modes of Chord Type Sorted by Rootedness: 1.383(mode 0)0:0 1 4 7 8 |Bridge chord 1.367(mode 1)1:0 3 6 7 11 |mM7#11 no 9th = batti minor 4/7# = minor major Egyptian pentachord .933(mode 2)4:0 3 4 8 9 | .483(mode 4)8:0 4 5 8 11 | .133(mode 3)7:0 1 5 6 9 | Inversion at 0: 0 4 5 8 11 (mode 0) 0: 0 4 5 8 11 | (mode 1) 4: 0 1 4 7 8 | Bridge chord (mode 2) 5: 0 3 6 7 11 | mM7#11 no 9th = batti minor 4/7# = minor major Egyptian pentachord (mode 3) 8: 0 3 4 8 9 | (mode 4) 11: 0 1 5 6 9 | Times 7: 0 1 4 7 8 (mode 0) 0: 0 1 4 7 8 | Bridge chord (mode 1) 1: 0 3 6 7 11 | mM7#11 no 9th = batti minor 4/7# = minor major Egyptian pentachord (mode 2) 4: 0 3 4 8 9 | (mode 3) 7: 0 1 5 6 9 | (mode 4) 8: 0 4 5 8 11 | Times 5: 0 4 5 8 11 (mode 0) 0: 0 4 5 8 11 | (mode 1) 4: 0 1 4 7 8 | Bridge chord (mode 2) 5: 0 3 6 7 11 | mM7#11 no 9th = batti minor 4/7# = minor major Egyptian pentachord (mode 3) 8: 0 3 4 8 9 | (mode 4) 11: 0 1 5 6 9 | Modal System: 0 1 4 7 8 from root(s) 0 | "minor major Egyptian pentachord modal system" Modes of Modal System: (mode 0) 0: 0 1 4 7 8 | Bridge chord (mode 1) 1: 0 3 6 7 11 | mM7#11 no 9th = batti minor 4/7# = minor major Egyptian pentachord (mode 2) 4: 0 3 4 8 9 | (mode 3) 7: 0 1 5 6 9 | (mode 4) 8: 0 4 5 8 11 | Complement: 2 3 5 6 9 10 11 (mode 0) 2: 0 1 3 4 7 8 9 | (mode 1) 3: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 5: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 6: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 9: 0 1 2 5 6 8 9 | (mode 5) 10: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 11: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya All but the root (subchroma complement of 0): 1 4 7 8 (mode 0) 1: 0 3 6 7 | m add #11 (mode 1) 4: 0 3 4 9 | (mode 2) 7: 0 1 6 9 | (mode 3) 8: 0 5 8 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) Bridge chord - Wikipedia 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: N/A chromaticized keep 0: (mode 0) 0: 0 1 2 3 4 7 8 | (mode 1) 1: 0 1 2 3 6 7 11 | (mode 2) 2: 0 1 2 5 6 10 11 | (mode 3) 3: 0 1 4 5 9 10 11 | (mode 4) 4: 0 3 4 8 9 10 11 | (mode 5) 7: 0 1 5 6 7 8 9 | (mode 6) 8: 0 4 5 6 7 8 11 | chromaticized keep 0 7: (mode 0) 0: 0 1 2 3 4 7 8 | (mode 1) 1: 0 1 2 3 6 7 11 | (mode 2) 2: 0 1 2 5 6 10 11 | (mode 3) 3: 0 1 4 5 9 10 11 | (mode 4) 4: 0 3 4 8 9 10 11 | (mode 5) 7: 0 1 5 6 7 8 9 | (mode 6) 8: 0 4 5 6 7 8 11 | (mode 0) 0: 0 1 4 5 6 7 8 | (mode 1) 1: 0 3 4 5 6 7 11 | (mode 2) 4: 0 1 2 3 4 8 9 | (mode 3) 5: 0 1 2 3 7 8 11 | (mode 4) 6: 0 1 2 6 7 10 11 | mela 42 Raghupriya (mode 5) 7: 0 1 5 6 9 10 11 | (mode 6) 8: 0 4 5 8 9 10 11 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 3 4 7 8 | (mode 1) 1: 0 1 2 3 6 7 11 | (mode 2) 2: 0 1 2 5 6 10 11 | (mode 3) 3: 0 1 4 5 9 10 11 | (mode 4) 4: 0 3 4 8 9 10 11 | (mode 5) 7: 0 1 5 6 7 8 9 | (mode 6) 8: 0 4 5 6 7 8 11 | (mode 0) 0: 0 1 4 5 6 7 8 | (mode 1) 1: 0 3 4 5 6 7 11 | (mode 2) 4: 0 1 2 3 4 8 9 | (mode 3) 5: 0 1 2 3 7 8 11 | (mode 4) 6: 0 1 2 6 7 10 11 | mela 42 Raghupriya (mode 5) 7: 0 1 5 6 9 10 11 | (mode 6) 8: 0 4 5 8 9 10 11 | alt-chromaticized: N/A alt-chromaticized keep 0: (mode 0) 0: 0 1 4 6 7 8 11 | M#13b9#11 = mela 51 Kaamavardini = purvi that (mode 1) 1: 0 3 5 6 7 10 11 | manic depression blues scale (mode 2) 4: 0 2 3 4 7 8 9 | (mode 3) 6: 0 1 2 5 6 7 10 | (mode 4) 7: 0 1 4 5 6 9 11 | M13b5b9 (mode 5) 8: 0 3 4 5 8 10 11 | M7#13#5#9 (mode 6) 11: 0 1 2 5 7 8 9 | alt-chromaticized keep 0 7: (mode 0) 0: 0 1 2 4 7 8 9 | (mode 1) 1: 0 1 3 6 7 8 11 | mMb13b9#11 = mela 45 Shubhapantuvarali = todi that (mode 2) 2: 0 2 5 6 7 10 11 | (mode 3) 4: 0 3 4 5 8 9 10 | 13#5#9 (mode 4) 7: 0 1 2 5 6 7 9 | (mode 5) 8: 0 1 4 5 6 8 11 | M7b13#5b9#11 = Persian scale (mode 6) 9: 0 3 4 5 7 10 11 | M#13#9 = mela 36 Chalanata (mode 0) 0: 0 1 4 6 7 8 11 | M#13b9#11 = mela 51 Kaamavardini = purvi that (mode 1) 1: 0 3 5 6 7 10 11 | manic depression blues scale (mode 2) 4: 0 2 3 4 7 8 9 | (mode 3) 6: 0 1 2 5 6 7 10 | (mode 4) 7: 0 1 4 5 6 9 11 | M13b5b9 (mode 5) 8: 0 3 4 5 8 10 11 | M7#13#5#9 (mode 6) 11: 0 1 2 5 7 8 9 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 4 7 8 9 | (mode 1) 1: 0 1 3 6 7 8 11 | mMb13b9#11 = mela 45 Shubhapantuvarali = todi that (mode 2) 2: 0 2 5 6 7 10 11 | (mode 3) 4: 0 3 4 5 8 9 10 | 13#5#9 (mode 4) 7: 0 1 2 5 6 7 9 | (mode 5) 8: 0 1 4 5 6 8 11 | M7b13#5b9#11 = Persian scale (mode 6) 9: 0 3 4 5 7 10 11 | M#13#9 = mela 36 Chalanata (mode 0) 0: 0 1 4 6 7 8 11 | M#13b9#11 = mela 51 Kaamavardini = purvi that (mode 1) 1: 0 3 5 6 7 10 11 | manic depression blues scale (mode 2) 4: 0 2 3 4 7 8 9 | (mode 3) 6: 0 1 2 5 6 7 10 | (mode 4) 7: 0 1 4 5 6 9 11 | M13b5b9 (mode 5) 8: 0 3 4 5 8 10 11 | M7#13#5#9 (mode 6) 11: 0 1 2 5 7 8 9 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 4 7 8 = 0: 0 1 4 7 8 = 1: 0 3 6 7 11 = 4: 0 3 4 8 9 = 7: 0 1 5 6 9 = 8: 0 4 5 8 11 1 1 1 0 3 6 7 11 = 0: 0 3 6 7 11 = 3: 0 3 4 8 9 = 6: 0 1 5 6 9 = 7: 0 4 5 8 11 = 11: 0 1 4 7 8 Bright Layer Composition order pcset 1 0 1 4 7 8 = 0: 0 1 4 7 8 = 1: 0 3 6 7 11 = 4: 0 3 4 8 9 = 7: 0 1 5 6 9 = 8: 0 4 5 8 11 2 0 1 2 3 4 7 8 11 = 0: 0 1 2 3 4 7 8 11 = 1: 0 1 2 3 6 7 10 11 = 2: 0 1 2 5 6 9 10 11 = 3: 0 1 4 5 8 9 10 11 = 4: 0 3 4 7 8 9 10 11 = 7: 0 1 4 5 6 7 8 9 = 8: 0 3 4 5 6 7 8 11 = 11: 0 1 2 3 4 5 8 9 3 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 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 1 4 7 8 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 4 = 4 = 4: 0 7 = 7 = 7: 0 8 = 8 = 8: 0 subchroma modal system: 0 1 0 1 = 0 1 = 0: 0 1 1: 0 11 1 4 = 1 4 = 1: 0 3 4: 0 9 4 7 = 4 7 = 4: 0 3 7: 0 9 7 8 = 7 8 = 7: 0 1 8: 0 11 8 0 = 0 8 = 8: 0 4 0: 0 8 subchroma modal system: 0 2 0 4 = 0 4 = 0: 0 4 4: 0 8 1 7 = 1 7 = 1 7: 0 6 4 8 = 4 8 = 4: 0 4 8: 0 8 7 0 = 0 7 = 7: 0 5 0: 0 7 8 1 = 1 8 = 8: 0 5 1: 0 7 subchroma modal system: 0 1 2 0 1 4 = 0 1 4 = 0: 0 1 4 1: 0 3 11 1 4 7 = 1 4 7 = 1: 0 3 6 4: 0 3 9 4 7 8 = 4 7 8 = 4: 0 3 4 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 0 1 = 0 1 8 = 8: 0 4 5 1: 0 7 11 subchroma modal system: 0 1 3 0 1 7 = 0 1 7 = 0: 0 1 7 1 4 8 = 1 4 8 = 1: 0 3 7 4: 0 4 9 4 7 0 = 0 4 7 = 0: 0 4 7 7 8 1 = 1 7 8 = 1: 0 6 7 8 0 4 = 0 4 8 = 0 4 8: 0 4 8 subchroma modal system: 0 1 2 3 0 1 4 7 = 0 1 4 7 = 0: 0 1 4 7 1: 0 3 6 11 1 4 7 8 = 1 4 7 8 = 4: 0 3 4 9 1: 0 3 6 7 4 7 8 0 = 0 4 7 8 = 4: 0 3 4 8 0: 0 4 7 8 8: 0 4 8 11 7 8 0 1 = 0 1 7 8 = 0: 0 1 7 8 8: 0 4 5 11 1: 0 6 7 11 8 0 1 4 = 0 1 4 8 = 1: 0 3 7 11 subchroma modal system: 0 1 2 3 4 0 1 4 7 8 = 0 1 4 7 8 = 0: 0 1 4 7 8 1: 0 3 6 7 11 1 4 7 8 0 = 0 1 4 7 8 = 0: 0 1 4 7 8 1: 0 3 6 7 11 4 7 8 0 1 = 0 1 4 7 8 = 0: 0 1 4 7 8 1: 0 3 6 7 11 7 8 0 1 4 = 0 1 4 7 8 = 0: 0 1 4 7 8 1: 0 3 6 7 11 8 0 1 4 7 = 0 1 4 7 8 = 0: 0 1 4 7 8 1: 0 3 6 7 11 Subset Chord Types by Root Set 0 :0 1 4 0 :0 1 7 0 :0 4 7 0 :0 7 8 0 :0 1 4 7 0 :0 1 7 8 0 :0 4 7 8 0 :0 1 4 7 8 0 1 :0 7 0 1 4 7 8:0 0 4 8 :0 4 0 4 8 :0 8 0 4 8 :0 4 8 0 7 :0 1 1 :0 3 6 1 :0 3 7 1 :0 3 11 1 :0 6 7 1 :0 7 11 1 :0 3 6 7 1 :0 3 6 11 1 :0 3 7 11 1 :0 6 7 11 1 :0 3 6 7 11 1 4 :0 3 1 7 :0 6 1 8 :0 11 4 :0 3 4 4 :0 3 9 4 :0 4 9 4 :0 3 4 8 4 :0 3 4 9 4 7 :0 9 7 8 :0 5 8 :0 4 5 8 :0 4 11 8 :0 4 5 11 8 :0 4 8 11 Superset Chord Types by Root Set 0 :0 1 4 7 8 0 :0 1 2 4 7 8 0 :0 1 3 4 7 8 0 :0 1 4 5 7 8 0 :0 1 4 6 7 8 0 :0 1 4 7 8 9 0 :0 1 4 7 8 10 0 :0 1 4 7 8 11 0 :0 1 2 3 4 7 8 0 :0 1 2 4 5 7 8 0 :0 1 2 4 6 7 8 0 :0 1 3 4 5 7 8 0 :0 1 3 4 6 7 8 0 :0 1 2 4 7 8 9 0 :0 1 2 4 7 8 10 0 :0 1 2 4 7 8 11 0 :0 1 3 4 7 8 10 0 :0 1 3 4 7 8 11 0 :0 1 4 5 6 7 8 0 :0 1 4 5 7 8 9 0 :0 1 4 6 7 8 9 0 :0 1 4 5 7 8 10 0 :0 1 4 6 7 8 10 0 :0 1 4 6 7 8 11 0 :0 1 4 7 8 9 10 0 :0 1 4 7 8 9 11 0 :0 1 4 7 8 10 11 0 :0 1 2 3 4 5 7 8 0 :0 1 2 3 4 6 7 8 0 :0 1 2 3 4 7 8 10 0 :0 1 2 4 5 6 7 8 0 :0 1 3 4 5 6 7 8 0 :0 1 2 4 6 7 8 9 0 :0 1 2 4 5 7 8 10 0 :0 1 2 4 6 7 8 11 0 :0 1 3 4 5 7 8 10 0 :0 1 3 4 6 7 8 10 0 :0 1 2 4 7 8 9 10 0 :0 1 2 4 7 8 9 11 0 :0 1 2 4 7 8 10 11 0 :0 1 4 5 6 7 8 10 0 :0 1 4 6 7 8 9 10 0 :0 1 4 6 7 8 9 11 0 :0 1 4 6 7 8 10 11 0 :0 1 4 7 8 9 10 11 0 :0 1 2 3 4 5 6 7 8 0 :0 1 2 3 4 5 7 8 10 0 :0 1 3 4 5 6 7 8 10 0 :0 1 2 4 6 7 8 9 11 0 :0 1 2 4 7 8 9 10 11 0 :0 1 4 6 7 8 9 10 11 0 1 :0 1 3 4 6 7 8 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 5 6 8 9 :0 1 2 3 4 5 6 7 8 10 11 0 1 3 4 7 8 9 :0 1 3 4 5 6 7 8 9 10 11 0 1 4 :0 1 3 4 6 7 8 9 11 0 1 4 5 :0 1 2 3 4 6 7 8 9 11 0 1 4 5 6 9 10 :0 1 2 3 4 6 7 8 9 10 11 0 1 4 5 7 8 11 :0 1 2 3 4 5 6 7 8 9 11 0 1 4 7 8 :0 1 3 4 5 6 7 8 9 11 0 1 4 9 :0 1 3 4 6 7 8 9 10 11 0 1 5 :0 1 2 3 4 6 7 8 11 0 1 5 6 9 :0 1 2 3 4 6 7 8 10 11 0 1 5 8 :0 1 2 3 4 5 6 7 8 11 0 1 8 :0 1 3 4 5 6 7 8 11 0 1 8 9 :0 1 3 4 5 6 7 8 10 11 0 1 9 :0 1 3 4 6 7 8 10 11 0 2 3 6 7 8 11 :0 1 2 4 5 6 7 8 9 10 11 0 2 6 8 :0 1 2 4 5 6 7 8 10 11 0 3 :0 1 4 5 7 8 9 10 0 3 4 :0 1 3 4 5 7 8 9 10 0 3 4 5 8 9 11 :0 1 2 3 4 5 7 8 9 10 11 0 3 4 6 7 10 11 :0 1 2 3 4 5 6 7 8 9 10 0 3 4 7 :0 1 3 4 5 6 7 8 9 10 0 3 4 8 9 :0 1 3 4 5 7 8 9 10 11 0 3 4 11 :0 1 2 3 4 5 7 8 9 10 0 3 6 7 11 :0 1 2 4 5 6 7 8 9 10 0 3 7 :0 1 4 5 6 7 8 9 10 0 3 7 8 :0 1 4 5 6 7 8 9 10 11 0 3 8 :0 1 4 5 7 8 9 10 11 0 3 8 11 :0 1 2 4 5 7 8 9 10 11 0 3 11 :0 1 2 4 5 7 8 9 10 0 4 :0 1 3 4 7 8 9 0 4 :0 1 2 3 4 7 8 9 0 4 :0 1 3 4 5 7 8 9 0 4 :0 1 3 4 6 7 8 9 0 4 :0 1 3 4 7 8 9 10 0 4 :0 1 3 4 7 8 9 11 0 4 :0 1 2 3 4 6 7 8 9 0 4 :0 1 2 3 4 7 8 9 10 0 4 :0 1 3 4 6 7 8 9 10 0 4 5 :0 1 2 3 4 7 8 9 11 0 4 5 8 11 :0 1 2 3 4 5 7 8 9 11 0 4 5 9 :0 1 2 3 4 7 8 9 10 11 0 4 6 10 :0 1 2 3 4 6 7 8 9 10 0 4 7 11 :0 1 2 3 4 5 6 7 8 9 0 4 8 :0 1 3 4 5 7 8 9 11 0 4 9 :0 1 3 4 7 8 9 10 11 0 4 11 :0 1 2 3 4 5 7 8 9 0 5 :0 1 2 3 4 7 8 11 0 5 8 :0 1 2 3 4 5 7 8 11 0 5 8 9 :0 1 2 3 4 5 7 8 10 11 0 5 9 :0 1 2 3 4 7 8 10 11 0 6 :0 1 2 4 6 7 8 10 0 6 :0 1 2 3 4 6 7 8 10 0 6 :0 1 2 4 5 6 7 8 10 0 6 :0 1 2 4 6 7 8 9 10 0 6 :0 1 2 4 6 7 8 10 11 0 6 :0 1 2 3 4 5 6 7 8 10 0 6 :0 1 2 4 6 7 8 9 10 11 0 7 :0 1 4 5 6 7 8 9 0 7 8 :0 1 4 5 6 7 8 9 11 0 7 8 11 :0 1 2 4 5 6 7 8 9 11 0 7 11 :0 1 2 4 5 6 7 8 9 0 8 :0 1 4 5 7 8 11 0 8 :0 1 2 4 5 7 8 11 0 8 :0 1 3 4 5 7 8 11 0 8 :0 1 4 5 6 7 8 11 0 8 :0 1 4 5 7 8 9 11 0 8 :0 1 4 5 7 8 10 11 0 8 :0 1 2 4 5 6 7 8 11 0 8 :0 1 2 4 5 7 8 10 11 0 8 :0 1 4 5 6 7 8 10 11 0 8 9 :0 1 3 4 5 7 8 10 11 0 8 11 :0 1 2 4 5 7 8 9 11 0 9 :0 1 3 4 7 8 10 11 0 11 :0 1 2 4 5 7 8 9 1 :0 3 6 7 11 1 :0 1 3 6 7 11 1 :0 2 3 6 7 11 1 :0 3 4 6 7 11 1 :0 3 5 6 7 11 1 :0 3 6 7 8 11 1 :0 3 6 7 9 11 1 :0 3 6 7 10 11 1 :0 1 2 3 6 7 11 1 :0 1 3 4 6 7 11 1 :0 2 3 4 6 7 11 1 :0 1 3 5 6 7 11 1 :0 2 3 5 6 7 11 1 :0 3 4 5 6 7 11 1 :0 1 3 6 7 8 11 1 :0 1 3 6 7 9 11 1 :0 1 3 6 7 10 11 1 :0 2 3 6 7 9 11 1 :0 2 3 6 7 10 11 1 :0 3 4 6 7 8 11 1 :0 3 4 6 7 9 11 1 :0 3 5 6 7 8 11 1 :0 3 5 6 7 9 11 1 :0 3 5 6 7 10 11 1 :0 3 6 7 8 9 11 1 :0 3 6 7 8 10 11 1 :0 3 6 7 9 10 11 1 :0 1 2 3 4 6 7 11 1 :0 1 2 3 5 6 7 11 1 :0 1 3 4 5 6 7 11 1 :0 2 3 4 5 6 7 11 1 :0 1 2 3 6 7 9 11 1 :0 1 3 4 6 7 9 11 1 :0 2 3 4 6 7 9 11 1 :0 1 3 5 6 7 8 11 1 :0 1 3 5 6 7 10 11 1 :0 2 3 5 6 7 9 11 1 :0 3 4 5 6 7 9 11 1 :0 1 3 6 7 8 9 11 1 :0 1 3 6 7 8 10 11 1 :0 1 3 6 7 9 10 11 1 :0 3 5 6 7 8 9 11 1 :0 3 5 6 7 8 10 11 1 :0 3 5 6 7 9 10 11 1 :0 3 6 7 8 9 10 11 1 :0 1 2 3 4 5 6 7 11 1 :0 1 2 3 4 6 7 9 11 1 :0 2 3 4 5 6 7 9 11 1 :0 1 3 6 7 8 9 10 11 1 :0 3 5 6 7 8 9 10 11 1 2 :0 2 3 5 6 7 10 11 1 2 3 6 7 9 10 :0 1 2 3 4 5 6 7 9 10 11 1 2 4 5 8 9 10 :0 2 3 4 5 6 7 8 9 10 11 1 2 5 :0 2 3 5 6 7 8 10 11 1 2 5 6 :0 1 2 3 5 6 7 8 10 11 1 2 5 6 7 10 11 :0 1 2 3 5 6 7 8 9 10 11 1 2 5 8 9 :0 2 3 4 5 6 7 8 10 11 1 2 5 10 :0 2 3 5 6 7 8 9 10 11 1 2 6 :0 1 2 3 5 6 7 10 11 1 2 6 7 10 :0 1 2 3 5 6 7 9 10 11 1 2 6 9 :0 1 2 3 4 5 6 7 10 11 1 2 9 :0 2 3 4 5 6 7 10 11 1 2 9 10 :0 2 3 4 5 6 7 9 10 11 1 2 10 :0 2 3 5 6 7 9 10 11 1 3 7 9 :0 1 3 4 5 6 7 9 10 11 1 4 :0 3 4 6 7 8 9 11 1 4 5 :0 2 3 4 6 7 8 9 11 1 4 5 8 :0 2 3 4 5 6 7 8 9 11 1 4 5 9 10 :0 2 3 4 6 7 8 9 10 11 1 4 8 :0 3 4 5 6 7 8 9 11 1 4 8 9 :0 3 4 5 6 7 8 9 10 11 1 4 9 :0 3 4 6 7 8 9 10 11 1 5 :0 2 3 6 7 8 11 1 5 :0 1 2 3 6 7 8 11 1 5 :0 2 3 4 6 7 8 11 1 5 :0 2 3 5 6 7 8 11 1 5 :0 2 3 6 7 8 9 11 1 5 :0 2 3 6 7 8 10 11 1 5 :0 1 2 3 5 6 7 8 11 1 5 :0 1 2 3 6 7 8 9 11 1 5 :0 2 3 5 6 7 8 9 11 1 5 6 :0 1 2 3 6 7 8 10 11 1 5 6 10 :0 1 2 3 6 7 8 9 10 11 1 5 7 11 :0 1 2 3 5 6 7 8 9 11 1 5 8 :0 2 3 4 5 6 7 8 11 1 5 9 :0 2 3 4 6 7 8 10 11 1 5 10 :0 2 3 6 7 8 9 10 11 1 6 :0 1 2 3 6 7 10 11 1 6 9 :0 1 2 3 4 6 7 10 11 1 6 9 10 :0 1 2 3 4 6 7 9 10 11 1 6 10 :0 1 2 3 6 7 9 10 11 1 7 :0 1 3 5 6 7 9 11 1 7 :0 1 2 3 5 6 7 9 11 1 7 :0 1 3 4 5 6 7 9 11 1 7 :0 1 3 5 6 7 8 9 11 1 7 :0 1 3 5 6 7 9 10 11 1 7 :0 1 2 3 4 5 6 7 9 11 1 7 :0 1 3 5 6 7 8 9 10 11 1 8 :0 3 4 5 6 7 8 11 1 8 9 :0 3 4 5 6 7 8 10 11 1 9 :0 3 4 6 7 10 11 1 9 :0 1 3 4 6 7 10 11 1 9 :0 2 3 4 6 7 10 11 1 9 :0 3 4 5 6 7 10 11 1 9 :0 3 4 6 7 8 10 11 1 9 :0 3 4 6 7 9 10 11 1 9 :0 1 3 4 5 6 7 10 11 1 9 :0 1 3 4 6 7 9 10 11 1 9 :0 3 4 5 6 7 9 10 11 1 9 10 :0 2 3 4 6 7 9 10 11 1 10 :0 2 3 6 7 9 10 11 2 :0 2 3 5 6 10 11 2 :0 2 4 5 6 10 11 2 :0 2 5 6 7 10 11 2 :0 2 3 4 5 6 10 11 2 :0 2 4 5 6 7 10 11 2 :0 2 4 5 6 9 10 11 2 :0 2 5 6 7 8 10 11 2 :0 2 5 6 7 9 10 11 2 :0 2 4 5 6 7 9 10 11 2 3 4 7 8 10 11 :0 1 2 3 4 5 6 8 9 10 11 2 3 6 7 :0 1 2 4 5 6 7 9 10 11 2 3 7 8 11 :0 1 2 4 5 6 8 9 10 11 2 3 7 10 :0 1 2 3 4 5 6 9 10 11 2 4 8 10 :0 2 3 4 5 6 8 9 10 11

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

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

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