Chord Type: 0 2 3 6 8 9 11

0 2 3 6 8 9 11 = mM13#5#11

Quick Links:

This Chord Type Chord Diagrams in 4ths Tuning
This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3)

All Chord Types Arpeggiated in All Keys (Standard Notation, Treble Clef)
All Chord Type Main Pages, Non-Collapsible Index
All Chord Type Main Pages, Collapsible Index

The information on this page uses the Jordan Chromatic System

Click here to learn the Jordan Chromatic System
Integral Arts Academy Home Page

Chord Type: 0 2 3 6 8 9 11

Chord Type Fun Facts 0 2 3 6 8 9 11 Subset of Diminished Scale (0 2 3 5 6 8 9 11) Diamorphic Modal System Fun Facts 0 1 3 4 6 7 10 Diminished Scale with one tone removed Subset of Diminished Scale General Statistics Cardinality: 7 Jordan Number: 7-38 Forte Number: 7-31 Forte Prime Form: [0,1,3,4,6,7,9] Zeitler Scale Name: Lylian Ian Ring's Scale Page 2893 Root Reference: 0 2 3 6 8 9 11 Tone Stacking: 0 2 1 3 2 1 2 Interval Stacking: 2 1 3 2 1 2 1 Binary: 1 0 1 1 0 0 1 0 1 1 0 1 Decimal Value: 2893 Interval Vector: 3 3 6 3 3 3 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.250 Harmonic Adjacency (0-1): 0.250 Modal-system-invariant under multiplication by: 1 7 Modal System Balanced: no Diachromatic Family: 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 3 5 6 8 10 = locrian, mb13b5b9, 7 in 4ths 0 1 3 5 6 8 11 = mMb13b5b9 0 1 3 5 6 9 10 = m13b5b9, oriental 0 1 3 5 6 9 11 = mM13b5b9 0 1 3 5 6 10 11 = mM#13b5b9 0 1 3 5 7 8 10 = phrygian, mb13b9, ousak, pelog, In, Hanumatodi, bhairavi 0 1 3 5 7 8 11 = mMb13b9, Neapolitan min., harm. phrygian, Dhenuka 0 1 3 5 7 9 10 = m13b9, phrygidorian, assyrian, Natakapriya 0 1 3 5 7 9 11 = mM13b9, Neapolitan maj., phrygian maj., Kokilapriya 0 1 3 5 7 10 11 = mM#13b9, Rupavati 0 1 3 5 8 9 10 = m13#5b9 0 1 3 5 8 9 11 = mM13#5b9 0 1 3 5 8 10 11 = m#13#5b9 0 1 3 6 7 8 10 = mb13b9#11, full pelog, Bhavapriya 0 1 3 6 7 8 11 = mMb13b9#11, Shubhapantuvarali, todi 0 1 3 6 7 9 10 = m13b9#11, Shadvidamargini 0 1 3 6 7 9 11 = mM13b9#11, Suvarnangi 0 1 3 6 7 10 11 = mM#13b9#11, Divyamani 0 1 3 6 8 9 10 = m13b9#11 0 1 3 6 8 9 11 = mM13b9#11 0 1 3 6 8 10 11 = m#13b9#11 0 1 4 5 6 8 10 = 7b13#5b9#11 0 1 4 5 6 8 11 = M7b13#5b9#11, Persian 0 1 4 5 6 9 10 = 13b5b9, oriental, tsinganikos, Persian, tsinganikos 0 1 4 5 6 9 11 = M13b5b9 0 1 4 5 6 10 11 = M#13b5b9 0 1 4 5 7 8 10 = 7b13b9, Spanish Gypsy, phryg. dom., Freygish, Hijaz, Homayoun, Vakulabharanam 0 1 4 5 7 8 11 = M#13b9, double harm. maj., hijazkiar, Mayamalavagowla, bhairav 0 1 4 5 7 9 10 = 13b9, neapolitan mixolydian, Chakravakam 0 1 4 5 7 9 11 = M13b9, Suryakantam 0 1 4 5 7 10 11 = M#13b9, Hatakambari 0 1 4 5 8 9 10 = 13#5b9 0 1 4 5 8 9 11 = M13#5b9 0 1 4 5 8 10 11 = M#13#5b5, enigmatic ascending 0 1 4 6 7 8 10 = 7b13b9#11, Naamanarayani 0 1 4 6 7 8 11 = M#13b9#11, Kaamavardini, purvi 0 1 4 6 7 9 10 = 13b9#11, Ramapriya 0 1 4 6 7 9 11 = M13b9#11, Gamanasrama, marwa 0 1 4 6 7 10 11 = M#13b9#11, Vishwambari 0 1 4 6 8 9 10 = 13#4b9#11 0 1 4 6 8 9 11 = M13#5b9#11 0 1 4 6 8 10 11 = M#13#5b9#11, enigmatic ascending 0 2 3 5 6 8 10 = 7b13b5, aeolocrian, half-dim. scale, min. locr. 0 2 3 5 6 8 11 = mMb13b5, locrian min. 0 2 3 5 6 9 10 = m13b5, doric locrian, kiordi asc. 0 2 3 5 6 9 11 = mM13#11 0 2 3 5 6 10 11 = mM#13 0 2 3 5 7 8 10 = aeolian, mb13, kiordi desc., Natabhairavi, asavari 0 2 3 5 7 8 11 = mMb13, harm. min., Keeravani 0 2 3 5 7 9 10 = dorian, m13, ritsu, tomora mesengo, Kharaharapriya, khafi, 7TET, Thai 0 2 3 5 7 9 11 = mel. min., mM13, jazz min., Gourimanohari 0 2 3 5 7 10 11 = mM#13, Varunapriya 0 2 3 5 8 9 10 = m13#5 0 2 3 5 8 9 11 = mM13#5 0 2 3 5 8 10 11 = mMb13 0 2 3 6 7 8 10 = mb13#11, Gypsy, Hungarian min. I, Aeolean #4, Shanmukhapriya 0 2 3 6 7 8 11 = mMb13#11, hungarian/gypsy min., Egypt. scale, niaventi, Simhendramadhyamam 0 2 3 6 7 9 10 = m13#11, Misheberak, Ukrainian Dor., souzinak, Romanian min., Hemavati 0 2 3 6 7 9 11 = mM13#11, lydian dim., Dharmavati 0 2 3 6 7 10 11 = mM#13#11, Neetimati, 2367AB & m7b5, 2367AB & m7 0 2 3 6 8 9 10 = m13#5#11 ->0 2 3 6 8 9 11 = mM13#5#11 0 2 3 6 8 10 11 = mM#13#5#11 0 2 4 5 6 8 10 = 7b13b5, Major Locrian 0 2 4 5 6 8 11 = M7b13b5 0 2 4 5 6 9 10 = 13b5 0 2 4 5 6 9 11 = M13b5 0 2 4 5 6 10 11 = M#13b5 0 2 4 5 7 8 10 = 7b13, myxaeolian, Hindu, mel. maj. 0 2 4 5 7 8 11 = Mb13, Harmonic maj., Sarasangi, suzinak 0 2 4 5 7 9 10 = mixolydian, rast desc., jiharkah, Harikambhoji, khamaj 0 2 4 5 7 9 11 = maj. scale, ionian, M13, rast ascending, silaba, bilawal, Dheerasankarabaranam 0 2 4 5 7 10 11 = M#13, Naganandini 0 2 4 5 8 9 10 = 13#5 0 2 4 5 8 9 11 = M13#5 0 2 4 5 8 10 11 = M#13#5 0 2 4 6 7 8 10 = 7b13#11, lydian min., Rishabhapriya 0 2 4 6 7 8 11 = Mb13#11, Latangi 0 2 4 6 7 9 10 = 13#11, lydian dominant, lydomyxian, overtone, Vachaspati 0 2 4 6 7 9 11 = M13#11, lydian, 7 in 5ths, sauta, Mechakalyani, kalyan 0 2 4 6 7 10 11 = M#13#11, Chitrambari 0 2 4 6 8 9 10 = 13#5#11 0 2 4 6 8 9 11 = M13#5#11, lydian aug. 0 2 4 6 8 10 11 = M#11, leading whole tone 0 3 4 5 6 8 10 = 7b13b5#9 0 3 4 5 6 8 11 = M7b13b5#9 0 3 4 5 6 9 10 = 13b5#9 0 3 4 5 6 9 11 = M13b5#9 0 3 4 5 6 10 11 = M#13b5#9 0 3 4 5 7 8 10 = 7b13#9, segiah, Ragavardhini 0 3 4 5 7 8 11 = M7b13#9, houzam, Gangeyabhushani 0 3 4 5 7 9 10 = 13#9, Vagadheeswari, mixolydian #2 0 3 4 5 7 9 11 = M13#9, Shulini 0 3 4 5 7 10 11 = M#13#9, Chalanata 0 3 4 5 8 9 10 = 13#5#9 0 3 4 5 8 9 11 = M13#5#9, ionian #2 #5 0 3 4 5 8 10 11 = M7#13#5#9 0 3 4 6 7 8 10 = mb13b5#9, Jyoti swarupini 0 3 4 6 7 8 11 = Mb13b5#9, Dhatuvardani 0 3 4 6 7 9 10 = 13#9#11, Hungarian maj. I, Naasikabhushini 0 3 4 6 7 9 11 = M13#9#11, Hungarian maj. II, mustar, periaiotikos, Kosalamu 0 3 4 6 7 10 11 = M#11#5#9, Rasikapriya 0 3 4 6 8 9 10 = 13#5#9 0 3 4 6 8 9 11 = mM13#5#9 0 3 4 6 8 10 11 = mM#13#5#9#11 All Transpositions of Chord Type: +0= 0 2 3 6 8 9 11 |mM13#5#11 +1= 0 1 3 4 7 9 10 | +2= 1 2 4 5 8 10 11 | +3= 0 2 3 5 6 9 11 |mM13#11 +4= 0 1 3 4 6 7 10 | +5= 1 2 4 5 7 8 11 | +6= 0 2 3 5 6 8 9 | +7= 1 3 4 6 7 9 10 | +8= 2 4 5 7 8 10 11 | +9= 0 3 5 6 8 9 11 | +10= 0 1 4 6 7 9 10 |13b9#11 = mela 52 Ramapriya +11= 1 2 5 7 8 10 11 | Modes of Chord Type: (mode 0) 0: 0 2 3 6 8 9 11 | mM13#5#11 (mode 1) 2: 0 1 4 6 7 9 10 | 13b9#11 = mela 52 Ramapriya (mode 2) 3: 0 3 5 6 8 9 11 | (mode 3) 6: 0 2 3 5 6 8 9 | (mode 4) 8: 0 1 3 4 6 7 10 | (mode 5) 9: 0 2 3 5 6 9 11 | mM13#11 (mode 6) 11: 0 1 3 4 7 9 10 | Modes of Chord Type Sorted by Rootedness: 1.825(mode 6)11:0 1 3 4 7 9 10 | 1.642(mode 4)8:0 1 3 4 6 7 10 | 1.508(mode 1)2:0 1 4 6 7 9 10 |13b9#11 = mela 52 Ramapriya .358(mode 0)0:0 2 3 6 8 9 11 |mM13#5#11 .258(mode 5)9:0 2 3 5 6 9 11 |mM13#11 -.100(mode 2)3:0 3 5 6 8 9 11 | -.192(mode 3)6:0 2 3 5 6 8 9 | Inversion at 0: 0 1 3 4 6 9 10 (mode 0) 0: 0 1 3 4 6 9 10 | (mode 1) 1: 0 2 3 5 8 9 11 | mM13#5 (mode 2) 3: 0 1 3 6 7 9 10 | m13b9#11 = mela 46 Shadvidamargini (mode 3) 4: 0 2 5 6 8 9 11 | (mode 4) 6: 0 3 4 6 7 9 10 | 13#9#11 = Hungarian major I = mela 70 Naasikabhushini (mode 5) 9: 0 1 3 4 6 7 9 | (mode 6) 10: 0 2 3 5 6 8 11 | mMb13b5 = locrian minor Times 7: 0 2 3 5 6 8 9 (mode 0) 0: 0 2 3 5 6 8 9 | (mode 1) 2: 0 1 3 4 6 7 10 | (mode 2) 3: 0 2 3 5 6 9 11 | mM13#11 (mode 3) 5: 0 1 3 4 7 9 10 | (mode 4) 6: 0 2 3 6 8 9 11 | mM13#5#11 (mode 5) 8: 0 1 4 6 7 9 10 | 13b9#11 = mela 52 Ramapriya (mode 6) 9: 0 3 5 6 8 9 11 | Times 5: 0 3 4 6 7 9 10 (mode 0) 0: 0 3 4 6 7 9 10 | 13#9#11 = Hungarian major I = mela 70 Naasikabhushini (mode 1) 3: 0 1 3 4 6 7 9 | (mode 2) 4: 0 2 3 5 6 8 11 | mMb13b5 = locrian minor (mode 3) 6: 0 1 3 4 6 9 10 | (mode 4) 7: 0 2 3 5 8 9 11 | mM13#5 (mode 5) 9: 0 1 3 6 7 9 10 | m13b9#11 = mela 46 Shadvidamargini (mode 6) 10: 0 2 5 6 8 9 11 | Modal System: 0 1 3 4 6 7 10 from root(s) 8 | "Ramapriya modal system = 13b9#11 modal system" Modes of Modal System: (mode 0) 0: 0 1 3 4 6 7 10 | (mode 1) 1: 0 2 3 5 6 9 11 | mM13#11 (mode 2) 3: 0 1 3 4 7 9 10 | (mode 3) 4: 0 2 3 6 8 9 11 | mM13#5#11 (mode 4) 6: 0 1 4 6 7 9 10 | 13b9#11 = mela 52 Ramapriya (mode 5) 7: 0 3 5 6 8 9 11 | (mode 6) 10: 0 2 3 5 6 8 9 | Complement: 1 4 5 7 10 (mode 0) 1: 0 3 4 6 9 | (mode 1) 4: 0 1 3 6 9 | (mode 2) 5: 0 2 5 8 11 | (mode 3) 7: 0 3 6 9 10 | (mode 4) 10: 0 3 6 7 9 | All but the root (subchroma complement of 0): 2 3 6 8 9 11 (mode 0) 2: 0 1 4 6 7 9 | (mode 1) 3: 0 3 5 6 8 11 | (mode 2) 6: 0 2 3 5 8 9 | (mode 3) 8: 0 1 3 6 7 10 | m#11b9 (mode 4) 9: 0 2 5 6 9 11 | (mode 5) 11: 0 3 4 7 9 10 | 13#9 no 11th 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: N/A chromaticized keep 0: (mode 0) 0: 0 2 3 6 7 8 9 11 | (mode 1) 2: 0 1 4 5 6 7 9 10 | (mode 2) 3: 0 3 4 5 6 8 9 11 | (mode 3) 6: 0 1 2 3 5 6 8 9 | (mode 4) 7: 0 1 2 4 5 7 8 11 | (mode 5) 8: 0 1 3 4 6 7 10 11 | (mode 6) 9: 0 2 3 5 6 9 10 11 | (mode 7) 11: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 0) 0: 0 2 3 4 5 6 8 9 11 | (mode 1) 2: 0 1 2 3 4 6 7 9 10 | (mode 2) 3: 0 1 2 3 5 6 8 9 11 | (mode 3) 4: 0 1 2 4 5 7 8 10 11 | (mode 4) 5: 0 1 3 4 6 7 9 10 11 | (mode 5) 6: 0 2 3 5 6 8 9 10 11 | (mode 6) 8: 0 1 3 4 6 7 8 9 10 | (mode 7) 9: 0 2 3 5 6 7 8 9 11 | (mode 8) 11: 0 1 3 4 5 6 7 9 10 | chromaticized keep 0 7: (mode 0) 0: 0 2 3 6 7 8 9 11 | (mode 1) 2: 0 1 4 5 6 7 9 10 | (mode 2) 3: 0 3 4 5 6 8 9 11 | (mode 3) 6: 0 1 2 3 5 6 8 9 | (mode 4) 7: 0 1 2 4 5 7 8 11 | (mode 5) 8: 0 1 3 4 6 7 10 11 | (mode 6) 9: 0 2 3 5 6 9 10 11 | (mode 7) 11: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 0) 0: 0 2 3 4 5 6 8 9 11 | (mode 1) 2: 0 1 2 3 4 6 7 9 10 | (mode 2) 3: 0 1 2 3 5 6 8 9 11 | (mode 3) 4: 0 1 2 4 5 7 8 10 11 | (mode 4) 5: 0 1 3 4 6 7 9 10 11 | (mode 5) 6: 0 2 3 5 6 8 9 10 11 | (mode 6) 8: 0 1 3 4 6 7 8 9 10 | (mode 7) 9: 0 2 3 5 6 7 8 9 11 | (mode 8) 11: 0 1 3 4 5 6 7 9 10 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 6 7 8 9 11 | (mode 1) 2: 0 1 4 5 6 7 9 10 | (mode 2) 3: 0 3 4 5 6 8 9 11 | (mode 3) 6: 0 1 2 3 5 6 8 9 | (mode 4) 7: 0 1 2 4 5 7 8 11 | (mode 5) 8: 0 1 3 4 6 7 10 11 | (mode 6) 9: 0 2 3 5 6 9 10 11 | (mode 7) 11: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 0) 0: 0 2 3 4 5 6 8 9 11 | (mode 1) 2: 0 1 2 3 4 6 7 9 10 | (mode 2) 3: 0 1 2 3 5 6 8 9 11 | (mode 3) 4: 0 1 2 4 5 7 8 10 11 | (mode 4) 5: 0 1 3 4 6 7 9 10 11 | (mode 5) 6: 0 2 3 5 6 8 9 10 11 | (mode 6) 8: 0 1 3 4 6 7 8 9 10 | (mode 7) 9: 0 2 3 5 6 7 8 9 11 | (mode 8) 11: 0 1 3 4 5 6 7 9 10 | alt-chromaticized: N/A alt-chromaticized keep 0: (mode 0) 0: 0 2 3 6 7 8 9 11 | (mode 1) 2: 0 1 4 5 6 7 9 10 | (mode 2) 3: 0 3 4 5 6 8 9 11 | (mode 3) 6: 0 1 2 3 5 6 8 9 | (mode 4) 7: 0 1 2 4 5 7 8 11 | (mode 5) 8: 0 1 3 4 6 7 10 11 | (mode 6) 9: 0 2 3 5 6 9 10 11 | (mode 7) 11: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 0) 0: 0 2 3 5 6 8 9 10 11 | (mode 1) 2: 0 1 3 4 6 7 8 9 10 | (mode 2) 3: 0 2 3 5 6 7 8 9 11 | (mode 3) 5: 0 1 3 4 5 6 7 9 10 | (mode 4) 6: 0 2 3 4 5 6 8 9 11 | (mode 5) 8: 0 1 2 3 4 6 7 9 10 | (mode 6) 9: 0 1 2 3 5 6 8 9 11 | (mode 7) 10: 0 1 2 4 5 7 8 10 11 | (mode 8) 11: 0 1 3 4 6 7 9 10 11 | alt-chromaticized keep 0 7: (mode 0) 0: 0 2 3 6 7 8 9 11 | (mode 1) 2: 0 1 4 5 6 7 9 10 | (mode 2) 3: 0 3 4 5 6 8 9 11 | (mode 3) 6: 0 1 2 3 5 6 8 9 | (mode 4) 7: 0 1 2 4 5 7 8 11 | (mode 5) 8: 0 1 3 4 6 7 10 11 | (mode 6) 9: 0 2 3 5 6 9 10 11 | (mode 7) 11: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 0) 0: 0 2 3 5 6 8 9 10 11 | (mode 1) 2: 0 1 3 4 6 7 8 9 10 | (mode 2) 3: 0 2 3 5 6 7 8 9 11 | (mode 3) 5: 0 1 3 4 5 6 7 9 10 | (mode 4) 6: 0 2 3 4 5 6 8 9 11 | (mode 5) 8: 0 1 2 3 4 6 7 9 10 | (mode 6) 9: 0 1 2 3 5 6 8 9 11 | (mode 7) 10: 0 1 2 4 5 7 8 10 11 | (mode 8) 11: 0 1 3 4 6 7 9 10 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 6 7 8 9 11 | (mode 1) 2: 0 1 4 5 6 7 9 10 | (mode 2) 3: 0 3 4 5 6 8 9 11 | (mode 3) 6: 0 1 2 3 5 6 8 9 | (mode 4) 7: 0 1 2 4 5 7 8 11 | (mode 5) 8: 0 1 3 4 6 7 10 11 | (mode 6) 9: 0 2 3 5 6 9 10 11 | (mode 7) 11: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 0) 0: 0 2 3 5 6 8 9 10 11 | (mode 1) 2: 0 1 3 4 6 7 8 9 10 | (mode 2) 3: 0 2 3 5 6 7 8 9 11 | (mode 3) 5: 0 1 3 4 5 6 7 9 10 | (mode 4) 6: 0 2 3 4 5 6 8 9 11 | (mode 5) 8: 0 1 2 3 4 6 7 9 10 | (mode 6) 9: 0 1 2 3 5 6 8 9 11 | (mode 7) 10: 0 1 2 4 5 7 8 10 11 | (mode 8) 11: 0 1 3 4 6 7 9 10 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 2 3 6 8 9 11 = 0: 0 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 10 = 3: 0 3 5 6 8 9 11 = 6: 0 2 3 5 6 8 9 = 8: 0 1 3 4 6 7 10 = 9: 0 2 3 5 6 9 11 = 11: 0 1 3 4 7 9 10 1 2 2 0 1 4 6 7 9 10 = 0: 0 1 4 6 7 9 10 = 1: 0 3 5 6 8 9 11 = 4: 0 2 3 5 6 8 9 = 6: 0 1 3 4 6 7 10 = 7: 0 2 3 5 6 9 11 = 9: 0 1 3 4 7 9 10 = 10: 0 2 3 6 8 9 11 1 8 8 0 1 3 4 6 7 10 = 0: 0 1 3 4 6 7 10 = 1: 0 2 3 5 6 9 11 = 3: 0 1 3 4 7 9 10 = 4: 0 2 3 6 8 9 11 = 6: 0 1 4 6 7 9 10 = 7: 0 3 5 6 8 9 11 = 10: 0 2 3 5 6 8 9 1 9 9 0 2 3 5 6 9 11 = 0: 0 2 3 5 6 9 11 = 2: 0 1 3 4 7 9 10 = 3: 0 2 3 6 8 9 11 = 5: 0 1 4 6 7 9 10 = 6: 0 3 5 6 8 9 11 = 9: 0 2 3 5 6 8 9 = 11: 0 1 3 4 6 7 10 1 11 11 0 1 3 4 7 9 10 = 0: 0 1 3 4 7 9 10 = 1: 0 2 3 6 8 9 11 = 3: 0 1 4 6 7 9 10 = 4: 0 3 5 6 8 9 11 = 7: 0 2 3 5 6 8 9 = 9: 0 1 3 4 6 7 10 = 10: 0 2 3 5 6 9 11 Bright Layer Composition order pcset 1 0 2 3 6 8 9 11 = 0: 0 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 10 = 3: 0 3 5 6 8 9 11 = 6: 0 2 3 5 6 8 9 = 8: 0 1 3 4 6 7 10 = 9: 0 2 3 5 6 9 11 = 11: 0 1 3 4 7 9 10 2 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 3 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 3 6 8 9 11 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 3 = 3 = 3: 0 6 = 6 = 6: 0 8 = 8 = 8: 0 9 = 9 = 9: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 2 = 0 2 = 0: 0 2 2: 0 10 2 3 = 2 3 = 2: 0 1 3: 0 11 3 6 = 3 6 = 3: 0 3 6: 0 9 6 8 = 6 8 = 6: 0 2 8: 0 10 8 9 = 8 9 = 8: 0 1 9: 0 11 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 3 = 0 3 = 0: 0 3 3: 0 9 2 6 = 2 6 = 2: 0 4 6: 0 8 3 8 = 3 8 = 3: 0 5 8: 0 7 6 9 = 6 9 = 6: 0 3 9: 0 9 8 11 = 8 11 = 8: 0 3 11: 0 9 9 0 = 0 9 = 9: 0 3 0: 0 9 11 2 = 2 11 = 11: 0 3 2: 0 9 subchroma modal system: 0 3 0 6 = 0 6 = 0 6: 0 6 2 8 = 2 8 = 2 8: 0 6 3 9 = 3 9 = 3 9: 0 6 6 11 = 6 11 = 6: 0 5 11: 0 7 8 0 = 0 8 = 8: 0 4 0: 0 8 9 2 = 2 9 = 9: 0 5 2: 0 7 11 3 = 3 11 = 11: 0 4 3: 0 8 subchroma modal system: 0 1 2 0 2 3 = 0 2 3 = 0: 0 2 3 2 3 6 = 2 3 6 = 2: 0 1 4 3: 0 3 11 3 6 8 = 3 6 8 = 3: 0 3 5 8: 0 7 10 6 8 9 = 6 8 9 = 6: 0 2 3 8 9 11 = 8 9 11 = 8: 0 1 3 9: 0 2 11 9 11 0 = 0 9 11 = 9: 0 2 3 11 0 2 = 0 2 11 = 11: 0 1 3 0: 0 2 11 subchroma modal system: 0 1 3 0 2 6 = 0 2 6 = 2: 0 4 10 2 3 8 = 2 3 8 = 8: 0 6 7 3 6 9 = 3 6 9 = 3: 0 3 6 6: 0 3 9 6 8 11 = 6 8 11 = 8: 0 3 10 11: 0 7 9 8 9 0 = 0 8 9 = 8: 0 1 4 9: 0 3 11 9 11 2 = 2 9 11 = 11: 0 3 10 2: 0 7 9 11 0 3 = 0 3 11 = 11: 0 1 4 0: 0 3 11 subchroma modal system: 0 1 4 0 2 8 = 0 2 8 = 8: 0 4 6 2 3 9 = 2 3 9 = 2: 0 1 7 3 6 11 = 3 6 11 = 11: 0 4 7 6 8 0 = 0 6 8 = 8: 0 4 10 8 9 2 = 2 8 9 = 2: 0 6 7 9 11 3 = 3 9 11 = 11: 0 4 10 11 0 6 = 0 6 11 = 11: 0 1 7 subchroma modal system: 0 1 5 0 2 9 = 0 2 9 = 9: 0 3 5 2: 0 7 10 2 3 11 = 2 3 11 = 11: 0 3 4 3 6 0 = 0 3 6 = 0: 0 3 6 3: 0 3 9 6 8 2 = 2 6 8 = 2: 0 4 6 8 9 3 = 3 8 9 = 8: 0 1 7 9 11 6 = 6 9 11 = 6: 0 3 5 11: 0 7 10 11 0 8 = 0 8 11 = 8: 0 3 4 subchroma modal system: 0 2 4 0 3 8 = 0 3 8 = 8: 0 4 7 2 6 9 = 2 6 9 = 2: 0 4 7 3 8 11 = 3 8 11 = 8: 0 3 7 11: 0 4 9 6 9 0 = 0 6 9 = 6: 0 3 6 9: 0 3 9 8 11 2 = 2 8 11 = 8: 0 3 6 11: 0 3 9 9 0 3 = 0 3 9 = 9: 0 3 6 0: 0 3 9 11 2 6 = 2 6 11 = 11: 0 3 7 2: 0 4 9 subchroma modal system: 0 1 2 3 0 2 3 6 = 0 2 3 6 = 0: 0 2 3 6 2: 0 1 4 10 3: 0 3 9 11 2 3 6 8 = 2 3 6 8 = 3: 0 3 5 11 8: 0 6 7 10 3 6 8 9 = 3 6 8 9 = 8: 0 1 7 10 3: 0 3 5 6 6 8 9 11 = 6 8 9 11 = 6: 0 2 3 5 8: 0 1 3 10 9: 0 2 9 11 11: 0 7 9 10 8 9 11 0 = 0 8 9 11 = 8: 0 1 3 4 9: 0 2 3 11 9 11 0 2 = 0 2 9 11 = 9: 0 2 3 5 11: 0 1 3 10 0: 0 2 9 11 2: 0 7 9 10 11 0 2 3 = 0 2 3 11 = 11: 0 1 3 4 0: 0 2 3 11 subchroma modal system: 0 1 2 4 0 2 3 8 = 0 2 3 8 = 8: 0 4 6 7 2 3 6 9 = 2 3 6 9 = 2: 0 1 4 7 3: 0 3 6 11 3 6 8 11 = 3 6 8 11 = 11: 0 4 7 9 8: 0 3 7 10 6 8 9 0 = 0 6 8 9 = 6: 0 2 3 6 8: 0 1 4 10 9: 0 3 9 11 8 9 11 2 = 2 8 9 11 = 8: 0 1 3 6 11: 0 3 9 10 2: 0 6 7 9 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 2 6 = 0 2 6 11 = 11: 0 1 3 7 2: 0 4 9 10 subchroma modal system: 0 1 2 5 0 2 3 9 = 0 2 3 9 = 2: 0 1 7 10 9: 0 3 5 6 2 3 6 11 = 2 3 6 11 = 11: 0 3 4 7 2: 0 1 4 9 3 6 8 0 = 0 3 6 8 = 8: 0 4 7 10 6 8 9 2 = 2 6 8 9 = 2: 0 4 6 7 8 9 11 3 = 3 8 9 11 = 8: 0 1 3 7 11: 0 4 9 10 9 11 0 6 = 0 6 9 11 = 11: 0 1 7 10 6: 0 3 5 6 11 0 2 8 = 0 2 8 11 = 8: 0 3 4 6 subchroma modal system: 0 1 3 4 0 2 6 8 = 0 2 6 8 = 2 8: 0 4 6 10 2 3 8 9 = 2 3 8 9 = 2 8: 0 1 6 7 3 6 9 11 = 3 6 9 11 = 11: 0 4 7 10 6 8 11 0 = 0 6 8 11 = 8: 0 3 4 10 11: 0 1 7 9 8 9 0 2 = 0 2 8 9 = 9: 0 3 5 11 2: 0 6 7 10 9 11 2 3 = 2 3 9 11 = 11: 0 3 4 10 2: 0 1 7 9 11 0 3 6 = 0 3 6 11 = 11: 0 1 4 7 0: 0 3 6 11 subchroma modal system: 0 1 3 5 0 2 6 9 = 0 2 6 9 = 2: 0 4 7 10 2 3 8 11 = 2 3 8 11 = 11: 0 3 4 9 8: 0 3 6 7 3 6 9 0 = 0 3 6 9 = 0 3 6 9: 0 3 6 9 6 8 11 2 = 2 6 8 11 = 11: 0 3 7 9 8: 0 3 6 10 8 9 0 3 = 0 3 8 9 = 8: 0 1 4 7 9: 0 3 6 11 9 11 2 6 = 2 6 9 11 = 2: 0 4 7 9 11: 0 3 7 10 11 0 3 8 = 0 3 8 11 = 8: 0 3 4 7 11: 0 1 4 9 subchroma modal system: 0 1 2 3 4 0 2 3 6 8 = 0 2 3 6 8 = 2: 0 1 4 6 10 8: 0 4 6 7 10 2 3 6 8 9 = 2 3 6 8 9 = 2: 0 1 4 6 7 8: 0 1 6 7 10 3 6 8 9 11 = 3 6 8 9 11 = 8: 0 1 3 7 10 3: 0 3 5 6 8 11: 0 4 7 9 10 6 8 9 11 0 = 0 6 8 9 11 = 8: 0 1 3 4 10 6: 0 2 3 5 6 9: 0 2 3 9 11 11: 0 1 7 9 10 8 9 11 0 2 = 0 2 8 9 11 = 8: 0 1 3 4 6 11: 0 1 3 9 10 2: 0 6 7 9 10 9 11 0 2 3 = 0 2 3 9 11 = 11: 0 1 3 4 10 9: 0 2 3 5 6 0: 0 2 3 9 11 2: 0 1 7 9 10 11 0 2 3 6 = 0 2 3 6 11 = 11: 0 1 3 4 7 0: 0 2 3 6 11 2: 0 1 4 9 10 subchroma modal system: 0 1 2 3 5 0 2 3 6 9 = 0 2 3 6 9 = 2: 0 1 4 7 10 2 3 6 8 11 = 2 3 6 8 11 = 11: 0 3 4 7 9 8: 0 3 6 7 10 3 6 8 9 0 = 0 3 6 8 9 = 8: 0 1 4 7 10 6 8 9 11 2 = 2 6 8 9 11 = 8: 0 1 3 6 10 2: 0 4 6 7 9 11: 0 3 7 9 10 8 9 11 0 3 = 0 3 8 9 11 = 8: 0 1 3 4 7 9: 0 2 3 6 11 11: 0 1 4 9 10 9 11 0 2 6 = 0 2 6 9 11 = 11: 0 1 3 7 10 6: 0 3 5 6 8 2: 0 4 7 9 10 11 0 2 3 8 = 0 2 3 8 11 = 11: 0 1 3 4 9 8: 0 3 4 6 7 subchroma modal system: 0 1 2 4 5 0 2 3 8 9 = 0 2 3 8 9 = 8: 0 1 4 6 7 2: 0 1 6 7 10 2 3 6 9 11 = 2 3 6 9 11 = 2: 0 1 4 7 9 11: 0 3 4 7 10 3 6 8 11 0 = 0 3 6 8 11 = 11: 0 1 4 7 9 8: 0 3 4 7 10 6 8 9 0 2 = 0 2 6 8 9 = 8: 0 1 4 6 10 2: 0 4 6 7 10 8 9 11 2 3 = 2 3 8 9 11 = 8: 0 1 3 6 7 11: 0 3 4 9 10 2: 0 1 6 7 9 9 11 0 3 6 = 0 3 6 9 11 = 11: 0 1 4 7 10 11 0 2 6 8 = 0 2 6 8 11 = 11: 0 1 3 7 9 8: 0 3 4 6 10 subchroma modal system: 0 1 2 3 4 5 0 2 3 6 8 9 = 0 2 3 6 8 9 = 2 8: 0 1 4 6 7 10 2 3 6 8 9 11 = 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 8: 0 1 3 6 7 10 11: 0 3 4 7 9 10 3 6 8 9 11 0 = 0 3 6 8 9 11 = 8: 0 1 3 4 7 10 11: 0 1 4 7 9 10 6 8 9 11 0 2 = 0 2 6 8 9 11 = 6: 0 2 3 5 6 8 11: 0 1 3 7 9 10 2: 0 4 6 7 9 10 8 9 11 0 2 3 = 0 2 3 8 9 11 = 8: 0 1 3 4 6 7 11: 0 1 3 4 9 10 9: 0 2 3 5 6 11 2: 0 1 6 7 9 10 9 11 0 2 3 6 = 0 2 3 6 9 11 = 11: 0 1 3 4 7 10 2: 0 1 4 7 9 10 11 0 2 3 6 8 = 0 2 3 6 8 11 = 11: 0 1 3 4 7 9 8: 0 3 4 6 7 10 subchroma modal system: 0 1 2 3 4 5 6 0 2 3 6 8 9 11 = 0 2 3 6 8 9 11 = 8: 0 1 3 4 6 7 10 11: 0 1 3 4 7 9 10 2: 0 1 4 6 7 9 10 9: 0 2 3 5 6 9 11 0: 0 2 3 6 8 9 11 2 3 6 8 9 11 0 = 0 2 3 6 8 9 11 = 8: 0 1 3 4 6 7 10 11: 0 1 3 4 7 9 10 2: 0 1 4 6 7 9 10 9: 0 2 3 5 6 9 11 0: 0 2 3 6 8 9 11 3 6 8 9 11 0 2 = 0 2 3 6 8 9 11 = 8: 0 1 3 4 6 7 10 11: 0 1 3 4 7 9 10 2: 0 1 4 6 7 9 10 9: 0 2 3 5 6 9 11 0: 0 2 3 6 8 9 11 6 8 9 11 0 2 3 = 0 2 3 6 8 9 11 = 8: 0 1 3 4 6 7 10 11: 0 1 3 4 7 9 10 2: 0 1 4 6 7 9 10 9: 0 2 3 5 6 9 11 0: 0 2 3 6 8 9 11 8 9 11 0 2 3 6 = 0 2 3 6 8 9 11 = 8: 0 1 3 4 6 7 10 11: 0 1 3 4 7 9 10 2: 0 1 4 6 7 9 10 9: 0 2 3 5 6 9 11 0: 0 2 3 6 8 9 11 9 11 0 2 3 6 8 = 0 2 3 6 8 9 11 = 8: 0 1 3 4 6 7 10 11: 0 1 3 4 7 9 10 2: 0 1 4 6 7 9 10 9: 0 2 3 5 6 9 11 0: 0 2 3 6 8 9 11 11 0 2 3 6 8 9 = 0 2 3 6 8 9 11 = 8: 0 1 3 4 6 7 10 11: 0 1 3 4 7 9 10 2: 0 1 4 6 7 9 10 9: 0 2 3 5 6 9 11 0: 0 2 3 6 8 9 11 Subset Chord Types by Root Set 0 :0 2 3 6 8 9 11 0 2 3 6 8 9 :0 6 0 2 3 6 8 9 11:0 0 2 3 6 9 11 :0 9 0 3 6 :0 8 0 3 6 8 9 :0 3 6 0 3 6 8 9 11 :0 3 0 3 6 9 :0 3 6 9 0 3 6 9 11 :0 3 9 0 3 9 :0 11 0 3 9 :0 3 11 0 3 9 :0 3 6 11 0 3 9 :0 3 9 11 0 6 9 :0 2 0 6 9 :0 2 3 0 6 9 :0 2 3 6 0 9 :0 2 11 0 9 :0 2 3 11 0 9 :0 2 9 11 0 9 :0 2 3 6 11 0 9 :0 2 3 9 11 2 :0 6 7 9 2 :0 1 6 7 9 2 :0 4 6 7 9 2 :0 6 7 9 10 2 :0 1 4 6 7 9 2 :0 1 6 7 9 10 2 :0 4 6 7 9 10 2 :0 1 4 6 7 9 10 2 8 :0 4 6 2 8 :0 6 7 2 8 :0 1 6 7 2 8 :0 4 6 7 2 8 :0 4 6 10 2 8 :0 6 7 10 2 8 :0 1 4 6 7 2 8 :0 1 4 6 10 2 8 :0 1 6 7 10 2 8 :0 4 6 7 10 2 8 :0 1 4 6 7 10 2 8 11 :0 1 2 8 11 :0 4 2 8 11 :0 7 2 8 11 :0 10 2 8 11 :0 1 4 2 8 11 :0 1 7 2 8 11 :0 4 7 2 8 11 :0 4 10 2 8 11 :0 7 10 2 8 11 :0 1 4 7 2 8 11 :0 1 4 10 2 8 11 :0 1 7 10 2 8 11 :0 4 7 10 2 8 11 :0 1 4 7 10 2 11 :0 4 9 2 11 :0 7 9 2 11 :0 1 4 9 2 11 :0 1 7 9 2 11 :0 4 7 9 2 11 :0 4 9 10 2 11 :0 7 9 10 2 11 :0 1 4 7 9 2 11 :0 1 4 9 10 2 11 :0 1 7 9 10 2 11 :0 4 7 9 10 2 11 :0 1 4 7 9 10 3 6 :0 3 5 6 8 3 6 9 :0 5 3 6 9 :0 3 5 3 6 9 :0 3 5 6 3 9 :0 3 5 11 6 :0 2 3 5 6 8 6 9 :0 2 3 5 6 9 :0 2 3 5 6 8 :0 1 3 6 8 :0 3 4 6 8 :0 3 6 7 8 :0 3 6 10 8 :0 1 3 4 6 8 :0 1 3 6 7 8 :0 3 4 6 7 8 :0 1 3 6 10 8 :0 3 4 6 10 8 :0 3 6 7 10 8 :0 1 3 4 6 7 8 :0 1 3 6 7 10 8 :0 3 4 6 7 10 8 :0 1 3 4 6 7 10 8 11 :0 1 3 8 11 :0 3 4 8 11 :0 3 7 8 11 :0 3 10 8 11 :0 1 3 4 8 11 :0 1 3 7 8 11 :0 3 4 7 8 11 :0 1 3 10 8 11 :0 3 4 10 8 11 :0 3 7 10 8 11 :0 1 3 4 7 8 11 :0 1 3 4 10 8 11 :0 1 3 7 10 8 11 :0 3 4 7 10 8 11 :0 1 3 4 7 10 9 :0 2 3 5 6 11 9 :0 2 3 5 6 9 11 11 :0 3 4 9 11 :0 3 7 9 11 :0 3 9 10 11 :0 1 3 4 9 11 :0 1 3 7 9 11 :0 3 4 7 9 11 :0 1 3 9 10 11 :0 3 4 9 10 11 :0 3 7 9 10 11 :0 1 3 4 7 9 11 :0 1 3 4 9 10 11 :0 1 3 7 9 10 11 :0 3 4 7 9 10 11 :0 1 3 4 7 9 10 Superset Chord Types by Root Set 0 :0 2 3 6 8 9 11 0 :0 2 3 6 7 8 9 11 0 :0 1 2 3 6 7 8 9 11 0 :0 2 3 4 6 7 8 9 11 0 :0 2 3 6 7 8 9 10 11 0 :0 1 2 3 4 6 7 8 9 11 0 :0 1 2 3 4 6 8 9 10 11 0 :0 1 2 3 6 7 8 9 10 11 0 :0 2 3 4 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 3 6 9 :0 1 2 3 5 6 7 8 9 10 11 0 2 5 8 11 :0 1 2 3 4 6 7 8 9 10 11 0 3 4 6 9 :0 2 3 4 5 6 7 8 9 10 11 0 3 6 7 9 :0 1 2 3 4 5 6 7 8 9 11 0 3 6 9 :0 2 3 5 6 8 9 11 0 3 6 9 :0 1 2 3 5 6 8 9 11 0 3 6 9 :0 2 3 5 6 7 8 9 11 0 3 6 9 :0 2 3 5 6 8 9 10 11 0 3 6 9 :0 1 2 3 4 5 6 8 9 11 0 3 6 9 :0 1 2 3 5 6 7 8 9 11 0 3 6 9 :0 1 2 3 5 6 8 9 10 11 0 3 6 9 :0 2 3 4 5 6 7 8 9 11 0 3 6 9 :0 2 3 4 5 6 8 9 10 11 0 3 6 9 :0 2 3 5 6 7 8 9 10 11 0 3 6 9 10 :0 1 2 3 4 5 6 8 9 10 11 1 :0 1 2 5 7 8 10 11 1 :0 1 2 3 5 7 8 10 11 1 :0 1 2 5 7 8 9 10 11 1 :0 1 2 3 5 6 7 8 10 11 1 :0 1 2 3 5 7 8 9 10 11 1 :0 1 2 5 6 7 8 9 10 11 1 2 4 7 10 :0 1 2 4 5 6 7 8 9 10 11 1 4 7 8 10 :0 1 2 3 4 5 6 7 8 10 11 1 4 7 10 :0 1 2 4 5 7 8 10 11 1 4 7 10 :0 1 2 3 4 5 7 8 10 11 1 4 7 10 :0 1 2 4 5 6 7 8 10 11 1 4 7 10 :0 1 2 4 5 7 8 9 10 11 1 4 7 10 11 :0 1 2 3 4 5 7 8 9 10 11 2 :0 1 4 6 7 9 10 2 :0 1 2 4 6 7 9 10 2 :0 1 4 5 6 7 9 10 2 :0 1 4 6 7 8 9 10 2 :0 1 4 6 7 9 10 11 2 :0 1 2 4 5 6 7 9 10 2 :0 1 2 4 6 7 8 9 10 2 :0 1 2 4 6 7 9 10 11 2 :0 1 4 5 6 7 8 9 10 2 :0 1 4 5 6 7 9 10 11 2 :0 1 4 6 7 8 9 10 11 2 :0 1 2 4 5 6 7 8 9 10 2 :0 1 2 4 5 6 7 9 10 11 2 :0 1 2 4 6 7 8 9 10 11 2 :0 1 4 5 6 7 8 9 10 11 2 3 5 8 11 :0 1 3 4 5 6 7 8 9 10 11 2 5 6 8 11 :0 1 2 3 4 5 6 7 8 9 10 2 5 8 9 11 :0 1 2 3 4 5 6 7 9 10 11 2 5 8 11 :0 1 3 4 6 7 9 10 2 5 8 11 :0 1 2 3 4 6 7 9 10 2 5 8 11 :0 1 3 4 5 6 7 9 10 2 5 8 11 :0 1 3 4 6 7 8 9 10 2 5 8 11 :0 1 3 4 6 7 9 10 11 2 5 8 11 :0 1 2 3 4 5 6 7 9 10 2 5 8 11 :0 1 2 3 4 6 7 8 9 10 2 5 8 11 :0 1 2 3 4 6 7 9 10 11 2 5 8 11 :0 1 3 4 5 6 7 8 9 10 2 5 8 11 :0 1 3 4 5 6 7 9 10 11 2 5 8 11 :0 1 3 4 6 7 8 9 10 11 3 :0 3 5 6 7 8 9 11 3 :0 1 3 5 6 7 8 9 11 3 :0 3 4 5 6 7 8 9 11 3 :0 3 5 6 7 8 9 10 11 3 :0 1 3 4 5 6 7 8 9 11 3 :0 1 3 4 5 6 8 9 10 11 3 :0 1 3 5 6 7 8 9 10 11 3 :0 3 4 5 6 7 8 9 10 11 4 :0 2 4 5 7 8 10 11 4 :0 2 3 4 5 7 8 10 11 4 :0 2 4 5 6 7 8 10 11 4 :0 2 4 5 7 8 9 10 11 4 :0 2 3 4 5 6 7 8 10 11 4 :0 2 3 4 5 7 8 9 10 11 4 :0 2 4 5 6 7 8 9 10 11 6 :0 2 3 5 6 7 8 9 6 :0 1 2 3 5 6 7 8 9 6 :0 2 3 4 5 6 7 8 9 6 :0 2 3 5 6 7 8 9 10 6 :0 1 2 3 4 5 6 7 8 9 6 :0 1 2 3 4 5 6 8 9 10 6 :0 1 2 3 5 6 7 8 9 10 6 :0 2 3 4 5 6 7 8 9 10 7 :0 1 2 4 5 7 8 11 7 :0 1 2 3 4 5 7 8 11 7 :0 1 2 4 5 6 7 8 11 7 :0 1 2 4 5 7 8 9 11 7 :0 1 2 3 4 5 6 7 8 11 7 :0 1 2 3 4 5 7 8 9 11 7 :0 1 2 4 5 6 7 8 9 11 8 :0 1 3 4 6 7 10 8 :0 1 2 3 4 6 7 10 8 :0 1 3 4 5 6 7 10 8 :0 1 3 4 6 7 8 10 8 :0 1 3 4 6 7 10 11 8 :0 1 2 3 4 5 6 7 10 8 :0 1 2 3 4 6 7 8 10 8 :0 1 2 3 4 6 7 10 11 8 :0 1 3 4 5 6 7 8 10 8 :0 1 3 4 5 6 7 10 11 8 :0 1 3 4 6 7 8 10 11 8 :0 1 2 3 4 5 6 7 8 10 8 :0 1 2 3 4 5 6 7 10 11 8 :0 1 2 3 4 6 7 8 10 11 8 :0 1 3 4 5 6 7 8 10 11 9 :0 2 3 5 6 9 11 9 :0 2 3 5 6 7 9 11 9 :0 1 2 3 5 6 7 9 11 9 :0 2 3 4 5 6 7 9 11 9 :0 2 3 4 5 6 9 10 11 9 :0 2 3 5 6 7 9 10 11 9 :0 1 2 3 4 5 6 7 9 11 9 :0 1 2 3 4 5 6 9 10 11 9 :0 1 2 3 5 6 7 9 10 11 9 :0 2 3 4 5 6 7 9 10 11 10 :0 1 2 3 4 5 6 8 10 11 10 :0 1 2 3 4 5 8 9 10 11 10 :0 1 2 4 5 6 8 9 10 11 11 :0 1 3 4 7 9 10 11 :0 1 2 3 4 7 9 10 11 :0 1 3 4 5 7 9 10 11 :0 1 3 4 7 8 9 10 11 :0 1 3 4 7 9 10 11 11 :0 1 2 3 4 5 7 9 10 11 :0 1 2 3 4 7 8 9 10 11 :0 1 2 3 4 7 9 10 11 11 :0 1 3 4 5 7 8 9 10 11 :0 1 3 4 5 7 9 10 11 11 :0 1 3 4 7 8 9 10 11 11 :0 1 2 3 4 5 7 8 9 10 11 :0 1 2 3 4 5 7 9 10 11 11 :0 1 2 3 4 7 8 9 10 11 11 :0 1 3 4 5 7 8 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 2 3 6 8 9 11 = 0: 0 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 10 = 3: 0 3 5 6 8 9 11 = 6: 0 2 3 5 6 8 9 = 8: 0 1 3 4 6 7 10 = 9: 0 2 3 5 6 9 11 = 11: 0 1 3 4 7 9 10 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 0 2 = maj. 2nd, dim., maj. 9th | 0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 3 6 8 9 11 = 0: 0 3 6 8 9 11 = 3: 0 3 5 6 8 9 = 6: 0 2 3 5 6 9 = 8: 0 1 3 4 7 10 = 9: 0 2 3 6 9 11 = 11: 0 1 4 7 9 10 0 4 = maj. 3rd, maj. 10th, dim. 4th | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 0 2 3 6 8 9 = 0: 0 2 3 6 8 9 = 2: 0 1 4 6 7 10 = 3: 0 3 5 6 9 11 = 6: 0 2 3 6 8 9 = 8: 0 1 4 6 7 10 = 9: 0 3 5 6 9 11 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 2 3 6 9 11 = 0: 0 2 3 6 9 11 = 2: 0 1 4 7 9 10 = 3: 0 3 6 8 9 11 = 6: 0 3 5 6 8 9 = 9: 0 2 3 5 6 9 = 11: 0 1 3 4 7 10 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 0 11 = maj. 7th, maj. 14th | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 8 11 = 8: 0 3 = 11: 0 9 0 1 4 | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 0 2 3 = min. trichord | 0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9 0 3 4 | 8 11 = 8: 0 3 = 11: 0 9 Sus2 triads (Scale Degrees: 125) 0 1 7 | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 Root with upper and lower neighbors (Scale Degrees: 127) 0 2 11 | 0 9 = 0: 0 9 = 9: 0 3 Scale Degrees: 134 0 3 5 | 3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9 Triads (Scale Degrees: 135) 0 3 6 = dim. | 0 3 6 8 9 = 0: 0 3 6 8 9 = 3: 0 3 5 6 9 = 6: 0 2 3 6 9 = 8: 0 1 4 7 10 = 9: 0 3 6 9 11 0 3 7 = m = minor | 8 11 = 8: 0 3 = 11: 0 9 0 4 6 = Mb5 | 2 8 = 2: 0 6 = 8: 0 6 0 4 7 = M = major | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 0 3 6 9 11 = 0: 0 3 6 9 11 = 3: 0 3 6 8 9 = 6: 0 3 5 6 9 = 9: 0 2 3 6 9 = 11: 0 1 4 7 10 0 4 9 = M6 no 5th | 2 11 = 2: 0 9 = 11: 0 3 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 8 11 = 8: 0 3 = 11: 0 9 0 3 11 = mM7 no 5th | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 4 10 = 7 no 5th | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 Sus4 Triads (Scale Degrees: 145) 0 6 7 = sus#4, Viennese trichord | 2 8 = 2: 0 6 = 8: 0 6 6th chords no 3rd (Scale Degrees: 156) 0 7 9 | 2 11 = 2: 0 9 = 11: 0 3 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 chromatic tetrachord (Scale Degrees: 1223) 0 1 3 4 = 1st 4 aux dim. | 8 11 = 8: 0 3 = 11: 0 9 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 2 3 5 = min. tetrachord | 6 9 = 6: 0 3 = 9: 0 9 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 8 = 8: 0 0 1 3 7 = m add b9, all-int | 8 11 = 8: 0 3 = 11: 0 9 0 1 4 7 = M add b9 | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 0 2 3 6 = dim. add 9 | 0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9 0 3 4 6 = Mb5 add #9 | 8 = 8: 0 0 3 4 7 = add #9, maj-min chord | 8 11 = 8: 0 3 = 11: 0 9 6/9 chord no 5th (Scale Degrees: 1236) 0 1 4 9 | 2 11 = 2: 0 9 = 11: 0 3 0 3 4 9 | 11 = 11: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 8 11 = 8: 0 3 = 11: 0 9 0 1 4 10 = 7b9 no 5th | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 0 2 3 11 = mM9 no 5th | 0 9 = 0: 0 9 = 9: 0 3 0 3 4 10 = 7#9 no 5th, Hendrix, all-int | 8 11 = 8: 0 3 = 11: 0 9 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 6 7 | 2 8 = 2: 0 6 = 8: 0 6 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 9 = all-int | 2 11 = 2: 0 9 = 11: 0 3 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 2 9 11 | 0 9 = 0: 0 9 = 9: 0 3 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9 0 3 6 7 = m add #11 | 8 = 8: 0 0 4 6 7 = Madd#11, Jetsons, all-int | 2 8 = 2: 0 6 = 8: 0 6 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 11 = all-int | 3 9 = 3: 0 6 = 9: 0 6 6th Chords (Scale Degrees: 1356) 0 3 6 9 = dim. 7, m6b5 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 7 9 = m6 , Tristan chord | 11 = 11: 0 0 4 7 9 = 6 | 2 11 = 2: 0 9 = 11: 0 3 7th Chords (Scale Degrees: 1357) 0 3 6 10 = m7b5, Tristan chord, half-dim. 7th | 8 = 8: 0 0 3 6 11 = mM7b5, dim. maj. 7th chord | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 3 7 10 = m7 | 8 11 = 8: 0 3 = 11: 0 9 0 4 6 10 = 7b5, French aug. 6th chord | 2 8 = 2: 0 6 = 8: 0 6 0 4 7 10 = 7, German aug. 6th chord | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 10 = m7/6 no 5th | 11 = 11: 0 0 3 9 11 = mM7/6 no 5th | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 4 9 10 = 7/6 no 5th, all-int | 2 11 = 2: 0 9 = 11: 0 3 Scale Degrees: 1456 0 6 7 9 | 2 = 2: 0 Sus 4 7th Chords (Scale Degrees: 1457) 0 6 7 10 = 7sus#4, all-int | 2 8 = 2: 0 6 = 8: 0 6 Scale Degrees: 1567 0 7 9 10 | 2 11 = 2: 0 9 = 11: 0 3 Scale Degrees: 12234 0 1 3 4 6 = auxdim. pentachord | 8 = 8: 0 Scale Degrees: 12235 0 1 3 4 7 | 8 11 = 8: 0 3 = 11: 0 9 Scale Degrees: 12236 0 1 3 4 9 | 11 = 11: 0 Scale Degrees: 12237 0 1 3 4 10 | 8 11 = 8: 0 3 = 11: 0 9 1st 5 notes of diamorphic scale (Scale Degrees: 12345) 0 1 3 6 7 | 8 = 8: 0 0 1 4 6 7 | 2 8 = 2: 0 6 = 8: 0 6 0 2 3 5 6 | 6 9 = 6: 0 3 = 9: 0 9 0 3 4 6 7 | 8 = 8: 0 6/9 chords (Scale Degrees: 12356) 0 1 3 7 9 | 11 = 11: 0 0 1 4 7 9 = Elektra chord | 2 11 = 2: 0 9 = 11: 0 3 0 3 4 7 9 = slendro | 11 = 11: 0 9th chords (Scale Degrees: 12357) 0 1 3 6 10 = m7b5b9 | 8 = 8: 0 0 1 3 7 10 = m7b9 | 8 11 = 8: 0 3 = 11: 0 9 0 1 4 6 10 = 7b5b9 | 2 8 = 2: 0 6 = 8: 0 6 0 1 4 7 10 = 7b9 | 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 0 2 3 6 11 = mM9b5 | 0 9 = 0: 0 9 = 9: 0 3 0 3 4 6 10 = 7b5#9 | 8 = 8: 0 0 3 4 7 10 = 7#9 | 8 11 = 8: 0 3 = 11: 0 9 13th chords no 5th no 11th (Scale Degrees: 12367) 0 1 3 9 10 = m13b9 no 5th no 11th | 11 = 11: 0 0 1 4 9 10 = 13b9 no 5th no 11th | 2 11 = 2: 0 9 = 11: 0 3 0 2 3 9 11 = M13 no 5th no 11th | 0 9 = 0: 0 9 = 9: 0 3 0 3 4 9 10 = 13#9 no 5th no 11th | 11 = 11: 0 Scale Degrees: 12456 0 1 6 7 9 | 2 = 2: 0 11th chords no 3rd (Scale Degrees: 12457) 0 1 6 7 10 | 2 8 = 2: 0 6 = 8: 0 6 13th chords no 3rd no 11th (Scale Degrees: 12567) 0 1 7 9 10 | 2 11 = 2: 0 9 = 11: 0 3 Scale Degrees: 13456 0 3 5 6 8 | 3 6 = 3: 0 3 = 6: 0 9 0 4 6 7 9 | 2 = 2: 0 11th Chords no 9th (Scale Degrees: 13457) 0 3 6 7 10 = m7#11 no 9th, batti min. #4 | 8 = 8: 0 0 4 6 7 10 = 7#11 no 9th | 2 8 = 2: 0 6 = 8: 0 6 7/6 Chords (Scale Degrees: 13567) 0 3 7 9 10 = m7/6 | 11 = 11: 0 0 4 7 9 10 = 7/6, boogie woogie | 2 11 = 2: 0 9 = 11: 0 3 13th chords no 3rd no 9th (Scale Degrees: 14567) 0 6 7 9 10 | 2 = 2: 0 Scale Degrees: 122345 0 1 3 4 6 7 = Istrian | 8 = 8: 0 Scale Degrees: 122356 0 1 3 4 7 9 | 11 = 11: 0 Scale Degrees: 122357 0 1 3 4 7 10 | 8 11 = 8: 0 3 = 11: 0 9 Scale Degrees: 122367 0 1 3 4 9 10 | 11 = 11: 0 1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456) 0 1 4 6 7 9 | 2 = 2: 0 0 2 3 5 6 8 | 6 = 6: 0 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 3 6 7 10 = m#11b9 | 8 = 8: 0 0 1 4 6 7 10 = M#11b9, Tritone scale, Petrushka | 2 8 = 2: 0 6 = 8: 0 6 0 2 3 5 6 11 = mM#11 | 9 = 9: 0 0 3 4 6 7 10 = 7#9#11 | 8 = 8: 0 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 1 3 7 9 10 = m13b9 no 11th | 11 = 11: 0 0 1 4 7 9 10 = 13b9 no 11th | 2 11 = 2: 0 9 = 11: 0 3 0 3 4 7 9 10 = 13#9 no 11th | 11 = 11: 0 diamorphic scales no 3rd (Scale Degrees: 124567) 0 1 6 7 9 10 | 2 = 2: 0 diamorphic scales no 2nd (Scale Degrees: 134567) 0 4 6 7 9 10 = 13#11 no 9th | 2 = 2: 0 Scale Degrees: 1223457 0 1 3 4 6 7 10 | 8 = 8: 0 Scale Degrees: 1223567 0 1 3 4 7 9 10 | 11 = 11: 0 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 4 6 7 9 10 = 13b9#11, Ramapriya | 2 = 2: 0 0 2 3 5 6 9 11 = mM13#11 | 9 = 9: 0 0 2 3 6 8 9 11 = mM13#5#11 | 0 = 0: 0 Superset Chord Types By Family Chord Type Roots Scale Degrees: 1223457 0 1 3 4 6 7 10 | 8 = 8: 0 Scale Degrees: 1223567 0 1 3 4 7 9 10 | 11 = 11: 0 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 4 6 7 9 10 = 13b9#11, Ramapriya | 2 = 2: 0 0 2 3 5 6 9 11 = mM13#11 | 9 = 9: 0 0 2 3 6 8 9 11 = mM13#5#11 | 0 = 0: 0 Scale Degrees: 12223457 0 1 2 3 4 6 7 10 | 8 = 8: 0 Scale Degrees: 12223567 0 1 2 3 4 7 9 10 | 11 = 11: 0 Scale Degrees: 12234457 0 1 3 4 5 6 7 10 | 8 = 8: 0 diamorphic with supplementary 2nd (Scale Degrees: 12234567) 0 1 2 4 5 7 8 11 | 7 = 7: 0 0 1 2 4 6 7 9 10 | 2 = 2: 0 0 1 3 4 5 7 9 10 | 11 = 11: 0 0 1 3 4 6 7 8 10 | 8 = 8: 0 0 1 3 4 6 7 9 10 = dim. scale, Octatonic | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 6 7 10 11 | 8 = 8: 0 Scale Degrees: 12235667 0 1 3 4 7 8 9 10 = ultraphrygian | 11 = 11: 0 0 1 3 4 7 9 10 11 | 11 = 11: 0 Scale Degrees: 12245667 0 1 2 5 7 8 10 11 | 1 = 1: 0 Scale Degrees: 12344566 0 2 3 5 6 7 8 9 | 6 = 6: 0 diamorphic with supplementary 4th (Scale Degrees: 12344567) 0 1 4 5 6 7 9 10 | 2 = 2: 0 0 2 3 5 6 7 9 11 | 9 = 9: 0 0 2 3 5 6 8 9 11 = dim. scale, Octatonic | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 diamorphic with supplementary 6th (Scale Degrees: 12345667) 0 1 4 6 7 8 9 10 | 2 = 2: 0 0 1 4 6 7 9 10 11 | 2 = 2: 0 0 2 3 6 7 8 9 11 | 0 = 0: 0 0 2 4 5 7 8 10 11 = Charukesi | 4 = 4: 0 Scale Degrees: 13445667 0 3 5 6 7 8 9 11 | 3 = 3: 0 Scale Degrees: 122334457 0 1 2 3 4 5 6 7 10 | 8 = 8: 0 diamorphic with supplementary 2nd, 3rd (Scale Degrees: 122334567) 0 1 2 3 4 5 7 8 11 | 7 = 7: 0 0 1 2 3 4 5 7 9 10 | 11 = 11: 0 0 1 2 3 4 6 7 8 10 | 8 = 8: 0 0 1 2 3 4 6 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 3 4 6 7 10 11 | 8 = 8: 0 Scale Degrees: 122335667 0 1 2 3 4 7 8 9 10 | 11 = 11: 0 0 1 2 3 4 7 9 10 11 | 11 = 11: 0 Scale Degrees: 122344566 0 1 2 3 5 6 7 8 9 | 6 = 6: 0 0 2 3 4 5 6 7 8 9 | 6 = 6: 0 diamorphic with supplementary 2nd, 4th (Scale Degrees: 122344567) 0 1 2 3 5 6 7 9 11 | 9 = 9: 0 0 1 2 3 5 6 8 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 2 4 5 6 7 8 11 | 7 = 7: 0 0 1 2 4 5 6 7 9 10 = 12569A & dom. 7 | 2 = 2: 0 0 1 3 4 5 6 7 8 10 | 8 = 8: 0 0 1 3 4 5 6 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 5 6 7 10 11 | 8 = 8: 0 0 2 3 4 5 6 7 9 11 = lydian & mel. min. | 9 = 9: 0 diamorphic with supplementary 2nd, 6th (Scale Degrees: 122345667) 0 1 2 3 5 7 8 10 11 = phrygian & harm. min. | 1 = 1: 0 0 1 2 3 6 7 8 9 11 | 0 = 0: 0 0 1 2 4 5 7 8 9 11 | 7 = 7: 0 0 1 2 4 5 7 8 10 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 1 2 4 6 7 8 9 10 | 2 = 2: 0 0 1 2 4 6 7 9 10 11 | 2 = 2: 0 0 1 3 4 5 7 8 9 10 = 014589 & min. pentat. | 11 = 11: 0 0 1 3 4 5 7 9 10 11 | 11 = 11: 0 0 1 3 4 6 7 8 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 6 7 8 10 11 | 8 = 8: 0 0 1 3 4 6 7 9 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 2 3 4 5 6 9 10 11 | 9 = 9: 0 0 2 3 4 5 7 8 10 11 = aeolean & aug. scale, 03478B & bebop min. | 4 = 4: 0 0 2 3 4 6 7 8 9 11 = lydian & aug. scale | 0 = 0: 0 Scale Degrees: 122356677 0 1 3 4 7 8 9 10 11 | 11 = 11: 0 Scale Degrees: 122456677 0 1 2 5 7 8 9 10 11 = Kanakangi | 1 = 1: 0 diamorphic with supplementary 4th, 6th (Scale Degrees: 123445667) 0 1 3 5 6 7 8 9 11 | 3 = 3: 0 0 1 4 5 6 7 8 9 10 | 2 = 2: 0 0 2 3 5 6 7 8 9 10 | 6 = 6: 0 0 2 3 5 6 7 8 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 5 6 8 9 10 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 diamorphic with supplementary 4th, 7th (Scale Degrees: 123445677) 0 1 4 5 6 7 9 10 11 | 2 = 2: 0 0 2 3 5 6 7 9 10 11 = 2367AB & mel. min. | 9 = 9: 0 0 2 4 5 6 7 8 10 11 | 4 = 4: 0 0 3 4 5 6 7 8 9 11 | 3 = 3: 0 diamorphic with supplementary 6th, 7th (Scale Degrees: 123456677) 0 1 4 6 7 8 9 10 11 | 2 = 2: 0 0 2 3 6 7 8 9 10 11 | 0 = 0: 0 0 2 4 5 7 8 9 10 11 | 4 = 4: 0 Scale Degrees: 134456667 0 3 5 6 7 8 9 10 11 | 3 = 3: 0 chromatic decachord (Scale Degrees: 1223344566) 0 1 2 3 4 5 6 7 8 9 = 1st 10 chromatics | 6 = 6: 0 diamorphic with supplementary 2nd, 3rd, 4th (Scale Degrees: 1223344567) 0 1 2 3 4 5 6 7 8 10 = whole tone & phrygian | 8 = 8: 0 0 1 2 3 4 5 6 7 8 11 | 7 = 7: 0 0 1 2 3 4 5 6 7 9 10 = auxdim. scale & dorian | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 3 4 5 6 7 9 11 | 9 = 9: 0 0 1 2 3 4 5 6 7 10 11 | 8 = 8: 0 diamorphic with supplementary 2nd, 3rd, 6th (Scale Degrees: 1223345667) 0 1 2 3 4 5 6 8 9 10 | 6 = 6: 0 0 1 2 3 4 5 6 8 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 2 3 4 5 6 8 10 11 | 10 = 10: 0 0 1 2 3 4 5 6 9 10 11 | 9 = 9: 0 0 1 2 3 4 5 7 8 9 10 = mixophrygian | 11 = 11: 0 0 1 2 3 4 5 7 8 9 11 = 014589 & mel. min. | 7 = 7: 0 0 1 2 3 4 5 7 8 10 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 1 2 3 4 5 7 9 10 11 | 11 = 11: 0 0 1 2 3 4 5 8 9 10 11 | 10 = 10: 0 0 1 2 3 4 6 7 8 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 3 4 6 7 8 9 11 = 10 in 5ths | 0 = 0: 0 0 1 2 3 4 6 7 8 10 11 | 8 = 8: 0 0 1 2 3 4 6 7 9 10 11 = auxdim. scale & lydian | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 3 4 6 8 9 10 11 | 0 = 0: 0 Scale Degrees: 1223356667 0 1 2 3 4 7 8 9 10 11 | 11 = 11: 0 diamorphic with supplementary 2nd, 4th, 6th (Scale Degrees: 1223445667) 0 1 2 3 5 6 7 8 9 10 = locridorian | 6 = 6: 0 0 1 2 3 5 6 7 8 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 2 3 5 6 7 8 10 11 = locrian & harm. min. | 1 = 1: 0 0 1 2 3 5 6 7 9 10 11 = 12569A & mel. min. | 9 = 9: 0 0 1 2 3 5 6 8 9 10 11 = dim. scale & locrian | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 2 4 5 6 7 8 9 10 | 2 = 2: 0 0 1 2 4 5 6 7 8 9 11 | 7 = 7: 0 0 1 2 4 5 6 7 8 10 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 1 2 4 5 6 7 9 10 11 = 12569A & bebop maj. | 2 = 2: 0 0 1 2 4 5 6 8 9 10 11 | 10 = 10: 0 0 1 3 4 5 6 7 8 9 10 = auxdim. scale & phrygian, 014589 & auxdim. scale | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 5 6 7 8 9 11 | 3 = 3: 0 0 1 3 4 5 6 7 8 10 11 = locrian & aug. scale | 8 = 8: 0 0 1 3 4 5 6 7 9 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 2 3 4 5 6 7 8 9 10 | 6 = 6: 0 0 2 3 4 5 6 7 8 9 11 = lydian & harm. min. | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 4 5 6 7 8 10 11 | 4 = 4: 0 0 2 3 4 5 6 7 9 10 11 = dorelydian, 2367AB & bebop maj. | 9 = 9: 0 0 2 3 4 5 6 8 9 10 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 diamorphic with supplementary 2nd, 6th, 7th (Scale Degrees: 1223456677) 0 1 2 3 5 7 8 9 10 11 = phrygian & mel. min. | 1 = 1: 0 0 1 2 3 6 7 8 9 10 11 | 0 = 0: 0 0 1 2 4 5 7 8 9 10 11 = 014589 & bebop maj., Span. Gypsy & ionian | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 1 2 4 6 7 8 9 10 11 | 2 = 2: 0 0 1 3 4 5 6 8 9 10 11 = 10 in 4ths | 3 = 3: 0 0 1 3 4 5 7 8 9 10 11 | 11 = 11: 0 0 1 3 4 6 7 8 9 10 11 = 03478B & auxdim. scale | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 2 3 4 5 7 8 9 10 11 = ioaeolean, mixolydian & harm. min. | 4 = 4: 0 0 2 3 4 6 7 8 9 10 11 | 0 = 0: 0 Scale Degrees: 1224456677 0 1 2 5 6 7 8 9 10 11 | 1 = 1: 0 diamorphic with supplementary 4th, 6th, 7th (Scale Degrees: 1234456677) 0 1 3 5 6 7 8 9 10 11 | 3 = 3: 0 0 1 4 5 6 7 8 9 10 11 | 2 = 2: 0 0 2 3 5 6 7 8 9 10 11 = dim. scale & dorian | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 4 5 6 7 8 9 10 11 = whole tone & ionian | 4 = 4: 0 0 3 4 5 6 7 8 9 10 11 | 3 = 3: 0 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 | 2 5 6 8 11 = 2: 0 3 4 6 9 = 5: 0 1 3 6 9 = 6: 0 2 5 8 11 = 8: 0 3 6 9 10 = 11: 0 3 6 7 9 0 1 2 3 4 5 6 7 8 9 11 | 0 3 6 7 9 = 0: 0 3 6 7 9 = 3: 0 3 4 6 9 = 6: 0 1 3 6 9 = 7: 0 2 5 8 11 = 9: 0 3 6 9 10 0 1 2 3 4 5 6 7 8 10 11 | 1 4 7 8 10 = 1: 0 3 6 7 9 = 4: 0 3 4 6 9 = 7: 0 1 3 6 9 = 8: 0 2 5 8 11 = 10: 0 3 6 9 10 0 1 2 3 4 5 6 7 9 10 11 = auxdim. scale & ionian | 2 5 8 9 11 = 2: 0 3 6 7 9 = 5: 0 3 4 6 9 = 8: 0 1 3 6 9 = 9: 0 2 5 8 11 = 11: 0 3 6 9 10 diamorphic with supplementary 2nd, 3rd, 6th, 7th (Scale Degrees: 12233456677) 0 1 2 3 4 5 6 8 9 10 11 = 11 in 4ths | 0 3 6 9 10 = 0: 0 3 6 9 10 = 3: 0 3 6 7 9 = 6: 0 3 4 6 9 = 9: 0 1 3 6 9 = 10: 0 2 5 8 11 0 1 2 3 4 5 7 8 9 10 11 = iophrygian, Spanish Gypsy & dorian, consonant-11 | 1 4 7 10 11 = 1: 0 3 6 9 10 = 4: 0 3 6 7 9 = 7: 0 3 4 6 9 = 10: 0 1 3 6 9 = 11: 0 2 5 8 11 0 1 2 3 4 6 7 8 9 10 11 = 11 in 5ths, most stable 11 chord type | 0 2 5 8 11 = 0: 0 2 5 8 11 = 2: 0 3 6 9 10 = 5: 0 3 6 7 9 = 8: 0 3 4 6 9 = 11: 0 1 3 6 9 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 3 6 9 = 0: 0 1 3 6 9 = 1: 0 2 5 8 11 = 3: 0 3 6 9 10 = 6: 0 3 6 7 9 = 9: 0 3 4 6 9 0 1 2 4 5 6 7 8 9 10 11 = Northern lights chord | 1 2 4 7 10 = 1: 0 1 3 6 9 = 2: 0 2 5 8 11 = 4: 0 3 6 9 10 = 7: 0 3 6 7 9 = 10: 0 3 4 6 9 0 1 3 4 5 6 7 8 9 10 11 | 2 3 5 8 11 = 2: 0 1 3 6 9 = 3: 0 2 5 8 11 = 5: 0 3 6 9 10 = 8: 0 3 6 7 9 = 11: 0 3 4 6 9 0 2 3 4 5 6 7 8 9 10 11 = aeolydian, whole tone & dorian | 0 3 4 6 9 = 0: 0 3 4 6 9 = 3: 0 1 3 6 9 = 4: 0 2 5 8 11 = 6: 0 3 6 9 10 = 9: 0 3 6 7 9 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 2 = 0: 0 2 = 2: 0 10 0 2 3 = 0: 0 2 3 = 2: 0 1 10 = 3: 0 9 11 0 2 3 6 = 0: 0 2 3 6 = 2: 0 1 4 10 = 3: 0 3 9 11 = 6: 0 6 8 9 0 2 3 6 8 = 0: 0 2 3 6 8 = 2: 0 1 4 6 10 = 3: 0 3 5 9 11 = 6: 0 2 6 8 9 = 8: 0 4 6 7 10 0 2 3 6 8 9 = 0: 0 2 3 6 8 9 = 2: 0 1 4 6 7 10 = 3: 0 3 5 6 9 11 = 6: 0 2 3 6 8 9 = 8: 0 1 4 6 7 10 = 9: 0 3 5 6 9 11 0 2 3 6 8 9 11 = 0: 0 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 10 = 3: 0 3 5 6 8 9 11 = 6: 0 2 3 5 6 8 9 = 8: 0 1 3 4 6 7 10 = 9: 0 2 3 5 6 9 11 = 11: 0 1 3 4 7 9 10 0 2 3 6 8 11 = 0: 0 2 3 6 8 11 = 2: 0 1 4 6 9 10 = 3: 0 3 5 8 9 11 = 6: 0 2 5 6 8 9 = 8: 0 3 4 6 7 10 = 11: 0 1 3 4 7 9 0 2 3 6 9 = 0: 0 2 3 6 9 = 2: 0 1 4 7 10 = 3: 0 3 6 9 11 = 6: 0 3 6 8 9 = 9: 0 3 5 6 9 0 2 3 6 9 11 = 0: 0 2 3 6 9 11 = 2: 0 1 4 7 9 10 = 3: 0 3 6 8 9 11 = 6: 0 3 5 6 8 9 = 9: 0 2 3 5 6 9 = 11: 0 1 3 4 7 10 0 2 3 6 11 = 0: 0 2 3 6 11 = 2: 0 1 4 9 10 = 3: 0 3 8 9 11 = 6: 0 5 6 8 9 = 11: 0 1 3 4 7 0 2 3 8 = 0: 0 2 3 8 = 2: 0 1 6 10 = 3: 0 5 9 11 = 8: 0 4 6 7 0 2 3 8 9 = 0: 0 2 3 8 9 = 2: 0 1 6 7 10 = 3: 0 5 6 9 11 = 8: 0 1 4 6 7 = 9: 0 3 5 6 11 0 2 3 8 9 11 = 0: 0 2 3 8 9 11 = 2: 0 1 6 7 9 10 = 3: 0 5 6 8 9 11 = 8: 0 1 3 4 6 7 = 9: 0 2 3 5 6 11 = 11: 0 1 3 4 9 10 0 2 3 8 11 = 0: 0 2 3 8 11 = 2: 0 1 6 9 10 = 3: 0 5 8 9 11 = 8: 0 3 4 6 7 = 11: 0 1 3 4 9 0 2 3 9 = 0: 0 2 3 9 = 2: 0 1 7 10 = 3: 0 6 9 11 = 9: 0 3 5 6 0 2 3 9 11 = 0: 0 2 3 9 11 = 2: 0 1 7 9 10 = 3: 0 6 8 9 11 = 9: 0 2 3 5 6 = 11: 0 1 3 4 10 0 2 3 11 = 0: 0 2 3 11 = 2: 0 1 9 10 = 3: 0 8 9 11 = 11: 0 1 3 4 0 2 6 = 0: 0 2 6 = 2: 0 4 10 = 6: 0 6 8 0 2 6 8 = 0: 0 2 6 8 = 2: 0 4 6 10 = 6: 0 2 6 8 = 8: 0 4 6 10 0 2 6 8 9 = 0: 0 2 6 8 9 = 2: 0 4 6 7 10 = 6: 0 2 3 6 8 = 8: 0 1 4 6 10 = 9: 0 3 5 9 11 0 2 6 8 9 11 = 0: 0 2 6 8 9 11 = 2: 0 4 6 7 9 10 = 6: 0 2 3 5 6 8 = 8: 0 1 3 4 6 10 = 9: 0 2 3 5 9 11 = 11: 0 1 3 7 9 10 0 2 6 8 11 = 0: 0 2 6 8 11 = 2: 0 4 6 9 10 = 6: 0 2 5 6 8 = 8: 0 3 4 6 10 = 11: 0 1 3 7 9 0 2 6 9 = 0: 0 2 6 9 = 2: 0 4 7 10 = 6: 0 3 6 8 = 9: 0 3 5 9 0 2 6 9 11 = 0: 0 2 6 9 11 = 2: 0 4 7 9 10 = 6: 0 3 5 6 8 = 9: 0 2 3 5 9 = 11: 0 1 3 7 10 0 2 6 11 = 0: 0 2 6 11 = 2: 0 4 9 10 = 6: 0 5 6 8 = 11: 0 1 3 7 0 2 8 = 0: 0 2 8 = 2: 0 6 10 = 8: 0 4 6 0 2 8 9 = 0: 0 2 8 9 = 2: 0 6 7 10 = 8: 0 1 4 6 = 9: 0 3 5 11 0 2 8 9 11 = 0: 0 2 8 9 11 = 2: 0 6 7 9 10 = 8: 0 1 3 4 6 = 9: 0 2 3 5 11 = 11: 0 1 3 9 10 0 2 8 11 = 0: 0 2 8 11 = 2: 0 6 9 10 = 8: 0 3 4 6 = 11: 0 1 3 9 0 2 9 = 0: 0 2 9 = 2: 0 7 10 = 9: 0 3 5 0 2 9 11 = 0: 0 2 9 11 = 2: 0 7 9 10 = 9: 0 2 3 5 = 11: 0 1 3 10 0 2 11 = 0: 0 2 11 = 2: 0 9 10 = 11: 0 1 3 0 3 = 0: 0 3 = 3: 0 9 0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9 0 3 6 8 = 0: 0 3 6 8 = 3: 0 3 5 9 = 6: 0 2 6 9 = 8: 0 4 7 10 0 3 6 8 9 = 0: 0 3 6 8 9 = 3: 0 3 5 6 9 = 6: 0 2 3 6 9 = 8: 0 1 4 7 10 = 9: 0 3 6 9 11 0 3 6 8 9 11 = 0: 0 3 6 8 9 11 = 3: 0 3 5 6 8 9 = 6: 0 2 3 5 6 9 = 8: 0 1 3 4 7 10 = 9: 0 2 3 6 9 11 = 11: 0 1 4 7 9 10 0 3 6 8 11 = 0: 0 3 6 8 11 = 3: 0 3 5 8 9 = 6: 0 2 5 6 9 = 8: 0 3 4 7 10 = 11: 0 1 4 7 9 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 6 9 11 = 0: 0 3 6 9 11 = 3: 0 3 6 8 9 = 6: 0 3 5 6 9 = 9: 0 2 3 6 9 = 11: 0 1 4 7 10 0 3 6 11 = 0: 0 3 6 11 = 3: 0 3 8 9 = 6: 0 5 6 9 = 11: 0 1 4 7 0 3 8 = 0: 0 3 8 = 3: 0 5 9 = 8: 0 4 7 0 3 8 9 = 0: 0 3 8 9 = 3: 0 5 6 9 = 8: 0 1 4 7 = 9: 0 3 6 11 0 3 8 9 11 = 0: 0 3 8 9 11 = 3: 0 5 6 8 9 = 8: 0 1 3 4 7 = 9: 0 2 3 6 11 = 11: 0 1 4 9 10 0 3 8 11 = 0: 0 3 8 11 = 3: 0 5 8 9 = 8: 0 3 4 7 = 11: 0 1 4 9 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 0 3 9 11 = 0: 0 3 9 11 = 3: 0 6 8 9 = 9: 0 2 3 6 = 11: 0 1 4 10 0 3 11 = 0: 0 3 11 = 3: 0 8 9 = 11: 0 1 4 0 6 = 0: 0 6 = 6: 0 6 0 6 8 = 0: 0 6 8 = 6: 0 2 6 = 8: 0 4 10 0 6 8 9 = 0: 0 6 8 9 = 6: 0 2 3 6 = 8: 0 1 4 10 = 9: 0 3 9 11 0 6 8 9 11 = 0: 0 6 8 9 11 = 6: 0 2 3 5 6 = 8: 0 1 3 4 10 = 9: 0 2 3 9 11 = 11: 0 1 7 9 10 0 6 8 11 = 0: 0 6 8 11 = 6: 0 2 5 6 = 8: 0 3 4 10 = 11: 0 1 7 9 0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9 0 6 9 11 = 0: 0 6 9 11 = 6: 0 3 5 6 = 9: 0 2 3 9 = 11: 0 1 7 10 0 6 11 = 0: 0 6 11 = 6: 0 5 6 = 11: 0 1 7 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 11 = 0: 0 8 9 11 = 8: 0 1 3 4 = 9: 0 2 3 11 = 11: 0 1 9 10 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 11 = 0: 0 9 11 = 9: 0 2 3 = 11: 0 1 10 0 11 = 0: 0 11 = 11: 0 1 2 = 2: 0 2 3 = 2: 0 1 = 3: 0 11 2 3 6 = 2: 0 1 4 = 3: 0 3 11 = 6: 0 8 9 2 3 6 8 = 2: 0 1 4 6 = 3: 0 3 5 11 = 6: 0 2 8 9 = 8: 0 6 7 10 2 3 6 8 9 = 2: 0 1 4 6 7 = 3: 0 3 5 6 11 = 6: 0 2 3 8 9 = 8: 0 1 6 7 10 = 9: 0 5 6 9 11 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 = 3: 0 3 5 6 8 11 = 6: 0 2 3 5 8 9 = 8: 0 1 3 6 7 10 = 9: 0 2 5 6 9 11 = 11: 0 3 4 7 9 10 2 3 6 8 11 = 2: 0 1 4 6 9 = 3: 0 3 5 8 11 = 6: 0 2 5 8 9 = 8: 0 3 6 7 10 = 11: 0 3 4 7 9 2 3 6 9 = 2: 0 1 4 7 = 3: 0 3 6 11 = 6: 0 3 8 9 = 9: 0 5 6 9 2 3 6 9 11 = 2: 0 1 4 7 9 = 3: 0 3 6 8 11 = 6: 0 3 5 8 9 = 9: 0 2 5 6 9 = 11: 0 3 4 7 10 2 3 6 11 = 2: 0 1 4 9 = 3: 0 3 8 11 = 6: 0 5 8 9 = 11: 0 3 4 7 2 3 8 = 2: 0 1 6 = 3: 0 5 11 = 8: 0 6 7 2 3 8 9 = 2: 0 1 6 7 = 3: 0 5 6 11 = 8: 0 1 6 7 = 9: 0 5 6 11 2 3 8 9 11 = 2: 0 1 6 7 9 = 3: 0 5 6 8 11 = 8: 0 1 3 6 7 = 9: 0 2 5 6 11 = 11: 0 3 4 9 10 2 3 8 11 = 2: 0 1 6 9 = 3: 0 5 8 11 = 8: 0 3 6 7 = 11: 0 3 4 9 2 3 9 = 2: 0 1 7 = 3: 0 6 11 = 9: 0 5 6 2 3 9 11 = 2: 0 1 7 9 = 3: 0 6 8 11 = 9: 0 2 5 6 = 11: 0 3 4 10 2 3 11 = 2: 0 1 9 = 3: 0 8 11 = 11: 0 3 4 2 6 = 2: 0 4 = 6: 0 8 2 6 8 = 2: 0 4 6 = 6: 0 2 8 = 8: 0 6 10 2 6 8 9 = 2: 0 4 6 7 = 6: 0 2 3 8 = 8: 0 1 6 10 = 9: 0 5 9 11 2 6 8 9 11 = 2: 0 4 6 7 9 = 6: 0 2 3 5 8 = 8: 0 1 3 6 10 = 9: 0 2 5 9 11 = 11: 0 3 7 9 10 2 6 8 11 = 2: 0 4 6 9 = 6: 0 2 5 8 = 8: 0 3 6 10 = 11: 0 3 7 9 2 6 9 = 2: 0 4 7 = 6: 0 3 8 = 9: 0 5 9 2 6 9 11 = 2: 0 4 7 9 = 6: 0 3 5 8 = 9: 0 2 5 9 = 11: 0 3 7 10 2 6 11 = 2: 0 4 9 = 6: 0 5 8 = 11: 0 3 7 2 8 = 2: 0 6 = 8: 0 6 2 8 9 = 2: 0 6 7 = 8: 0 1 6 = 9: 0 5 11 2 8 9 11 = 2: 0 6 7 9 = 8: 0 1 3 6 = 9: 0 2 5 11 = 11: 0 3 9 10 2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9 2 9 = 2: 0 7 = 9: 0 5 2 9 11 = 2: 0 7 9 = 9: 0 2 5 = 11: 0 3 10 2 11 = 2: 0 9 = 11: 0 3 3 = 3: 0 3 6 = 3: 0 3 = 6: 0 9 3 6 8 = 3: 0 3 5 = 6: 0 2 9 = 8: 0 7 10 3 6 8 9 = 3: 0 3 5 6 = 6: 0 2 3 9 = 8: 0 1 7 10 = 9: 0 6 9 11 3 6 8 9 11 = 3: 0 3 5 6 8 = 6: 0 2 3 5 9 = 8: 0 1 3 7 10 = 9: 0 2 6 9 11 = 11: 0 4 7 9 10 3 6 8 11 = 3: 0 3 5 8 = 6: 0 2 5 9 = 8: 0 3 7 10 = 11: 0 4 7 9 3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9 3 6 9 11 = 3: 0 3 6 8 = 6: 0 3 5 9 = 9: 0 2 6 9 = 11: 0 4 7 10 3 6 11 = 3: 0 3 8 = 6: 0 5 9 = 11: 0 4 7 3 8 = 3: 0 5 = 8: 0 7 3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11 3 8 9 11 = 3: 0 5 6 8 = 8: 0 1 3 7 = 9: 0 2 6 11 = 11: 0 4 9 10 3 8 11 = 3: 0 5 8 = 8: 0 3 7 = 11: 0 4 9 3 9 = 3: 0 6 = 9: 0 6 3 9 11 = 3: 0 6 8 = 9: 0 2 6 = 11: 0 4 10 3 11 = 3: 0 8 = 11: 0 4 6 = 6: 0 6 8 = 6: 0 2 = 8: 0 10 6 8 9 = 6: 0 2 3 = 8: 0 1 10 = 9: 0 9 11 6 8 9 11 = 6: 0 2 3 5 = 8: 0 1 3 10 = 9: 0 2 9 11 = 11: 0 7 9 10 6 8 11 = 6: 0 2 5 = 8: 0 3 10 = 11: 0 7 9 6 9 = 6: 0 3 = 9: 0 9 6 9 11 = 6: 0 3 5 = 9: 0 2 9 = 11: 0 7 10 6 11 = 6: 0 5 = 11: 0 7 8 = 8: 0 8 9 = 8: 0 1 = 9: 0 11 8 9 11 = 8: 0 1 3 = 9: 0 2 11 = 11: 0 9 10 8 11 = 8: 0 3 = 11: 0 9 9 = 9: 0 9 11 = 9: 0 2 = 11: 0 10 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 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 0 1 2 3 4 5 6 8 9 10 11 = 0: 0 1 2 3 4 5 6 8 9 10 11 = 1: 0 1 2 3 4 5 7 8 9 10 11 = 2: 0 1 2 3 4 6 7 8 9 10 11 = 3: 0 1 2 3 5 6 7 8 9 10 11 = 4: 0 1 2 4 5 6 7 8 9 10 11 = 5: 0 1 3 4 5 6 7 8 9 10 11 = 6: 0 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 = 9: 0 1 2 3 4 5 6 7 8 9 11 = 10: 0 1 2 3 4 5 6 7 8 10 11 = 11: 0 1 2 3 4 5 6 7 9 10 11 0 1 2 3 4 5 6 8 9 11 = 0: 0 1 2 3 4 5 6 8 9 11 = 1: 0 1 2 3 4 5 7 8 10 11 = 2: 0 1 2 3 4 6 7 9 10 11 = 3: 0 1 2 3 5 6 8 9 10 11 = 4: 0 1 2 4 5 7 8 9 10 11 = 5: 0 1 3 4 6 7 8 9 10 11 = 6: 0 2 3 5 6 7 8 9 10 11 = 8: 0 1 3 4 5 6 7 8 9 10 = 9: 0 2 3 4 5 6 7 8 9 11 = 11: 0 1 2 3 4 5 6 7 9 10 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 6 7 8 9 11 = 0: 0 1 2 3 4 6 7 8 9 11 = 1: 0 1 2 3 5 6 7 8 10 11 = 2: 0 1 2 4 5 6 7 9 10 11 = 3: 0 1 3 4 5 6 8 9 10 11 = 4: 0 2 3 4 5 7 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 10 = 7: 0 1 2 4 5 6 7 8 9 11 = 8: 0 1 3 4 5 6 7 8 10 11 = 9: 0 2 3 4 5 6 7 9 10 11 = 11: 0 1 2 3 4 5 7 8 9 10 0 1 2 3 4 6 8 9 10 11 = 0: 0 1 2 3 4 6 8 9 10 11 = 1: 0 1 2 3 5 7 8 9 10 11 = 2: 0 1 2 4 6 7 8 9 10 11 = 3: 0 1 3 5 6 7 8 9 10 11 = 4: 0 2 4 5 6 7 8 9 10 11 = 6: 0 2 3 4 5 6 7 8 9 10 = 8: 0 1 2 3 4 5 6 7 8 10 = 9: 0 1 2 3 4 5 6 7 9 11 = 10: 0 1 2 3 4 5 6 8 10 11 = 11: 0 1 2 3 4 5 7 9 10 11 0 1 2 3 4 6 8 9 11 = 0: 0 1 2 3 4 6 8 9 11 = 1: 0 1 2 3 5 7 8 10 11 = 2: 0 1 2 4 6 7 9 10 11 = 3: 0 1 3 5 6 8 9 10 11 = 4: 0 2 4 5 7 8 9 10 11 = 6: 0 2 3 5 6 7 8 9 10 = 8: 0 1 3 4 5 6 7 8 10 = 9: 0 2 3 4 5 6 7 9 11 = 11: 0 1 2 3 4 5 7 9 10 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 6 7 8 9 11 = 0: 0 1 2 3 5 6 7 8 9 11 = 1: 0 1 2 4 5 6 7 8 10 11 = 2: 0 1 3 4 5 6 7 9 10 11 = 3: 0 2 3 4 5 6 8 9 10 11 = 5: 0 1 2 3 4 6 7 8 9 10 = 6: 0 1 2 3 5 6 7 8 9 11 = 7: 0 1 2 4 5 6 7 8 10 11 = 8: 0 1 3 4 5 6 7 9 10 11 = 9: 0 2 3 4 5 6 8 9 10 11 = 11: 0 1 2 3 4 6 7 8 9 10 0 1 2 3 5 6 8 9 10 11 = 0: 0 1 2 3 5 6 8 9 10 11 = 1: 0 1 2 4 5 7 8 9 10 11 = 2: 0 1 3 4 6 7 8 9 10 11 = 3: 0 2 3 5 6 7 8 9 10 11 = 5: 0 1 3 4 5 6 7 8 9 10 = 6: 0 2 3 4 5 6 7 8 9 11 = 8: 0 1 2 3 4 5 6 7 9 10 = 9: 0 1 2 3 4 5 6 8 9 11 = 10: 0 1 2 3 4 5 7 8 10 11 = 11: 0 1 2 3 4 6 7 9 10 11 0 1 2 3 5 6 8 9 11 = 0: 0 1 2 3 5 6 8 9 11 = 1: 0 1 2 4 5 7 8 10 11 = 2: 0 1 3 4 6 7 9 10 11 = 3: 0 2 3 5 6 8 9 10 11 = 5: 0 1 3 4 6 7 8 9 10 = 6: 0 2 3 5 6 7 8 9 11 = 8: 0 1 3 4 5 6 7 9 10 = 9: 0 2 3 4 5 6 8 9 11 = 11: 0 1 2 3 4 6 7 9 10 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 6 7 8 9 11 = 0: 0 1 2 3 6 7 8 9 11 = 1: 0 1 2 5 6 7 8 10 11 = 2: 0 1 4 5 6 7 9 10 11 = 3: 0 3 4 5 6 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 = 7: 0 1 2 4 5 6 7 8 11 = 8: 0 1 3 4 5 6 7 10 11 = 9: 0 2 3 4 5 6 9 10 11 = 11: 0 1 2 3 4 7 8 9 10 0 1 2 3 6 8 9 10 11 = 0: 0 1 2 3 6 8 9 10 11 = 1: 0 1 2 5 7 8 9 10 11 = 2: 0 1 4 6 7 8 9 10 11 = 3: 0 3 5 6 7 8 9 10 11 = 6: 0 2 3 4 5 6 7 8 9 = 8: 0 1 2 3 4 5 6 7 10 = 9: 0 1 2 3 4 5 6 9 11 = 10: 0 1 2 3 4 5 8 10 11 = 11: 0 1 2 3 4 7 9 10 11 0 1 2 3 6 8 9 11 = 0: 0 1 2 3 6 8 9 11 = 1: 0 1 2 5 7 8 10 11 = 2: 0 1 4 6 7 9 10 11 = 3: 0 3 5 6 8 9 10 11 = 6: 0 2 3 5 6 7 8 9 = 8: 0 1 3 4 5 6 7 10 = 9: 0 2 3 4 5 6 9 11 = 11: 0 1 2 3 4 7 9 10 0 2 3 4 5 6 7 8 9 10 11 = 0: 0 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 = 3: 0 1 2 3 4 5 6 7 8 9 11 = 4: 0 1 2 3 4 5 6 7 8 10 11 = 5: 0 1 2 3 4 5 6 7 9 10 11 = 6: 0 1 2 3 4 5 6 8 9 10 11 = 7: 0 1 2 3 4 5 7 8 9 10 11 = 8: 0 1 2 3 4 6 7 8 9 10 11 = 9: 0 1 2 3 5 6 7 8 9 10 11 = 10: 0 1 2 4 5 6 7 8 9 10 11 = 11: 0 1 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 11 = 0: 0 2 3 4 5 6 7 8 9 11 = 2: 0 1 2 3 4 5 6 7 9 10 = 3: 0 1 2 3 4 5 6 8 9 11 = 4: 0 1 2 3 4 5 7 8 10 11 = 5: 0 1 2 3 4 6 7 9 10 11 = 6: 0 1 2 3 5 6 8 9 10 11 = 7: 0 1 2 4 5 7 8 9 10 11 = 8: 0 1 3 4 6 7 8 9 10 11 = 9: 0 2 3 5 6 7 8 9 10 11 = 11: 0 1 3 4 5 6 7 8 9 10 0 2 3 4 5 6 8 9 10 11 = 0: 0 2 3 4 5 6 8 9 10 11 = 2: 0 1 2 3 4 6 7 8 9 10 = 3: 0 1 2 3 5 6 7 8 9 11 = 4: 0 1 2 4 5 6 7 8 10 11 = 5: 0 1 3 4 5 6 7 9 10 11 = 6: 0 2 3 4 5 6 8 9 10 11 = 8: 0 1 2 3 4 6 7 8 9 10 = 9: 0 1 2 3 5 6 7 8 9 11 = 10: 0 1 2 4 5 6 7 8 10 11 = 11: 0 1 3 4 5 6 7 9 10 11 0 2 3 4 5 6 8 9 11 = 0: 0 2 3 4 5 6 8 9 11 = 2: 0 1 2 3 4 6 7 9 10 = 3: 0 1 2 3 5 6 8 9 11 = 4: 0 1 2 4 5 7 8 10 11 = 5: 0 1 3 4 6 7 9 10 11 = 6: 0 2 3 5 6 8 9 10 11 = 8: 0 1 3 4 6 7 8 9 10 = 9: 0 2 3 5 6 7 8 9 11 = 11: 0 1 3 4 5 6 7 9 10 0 2 3 4 6 7 8 9 10 11 = 0: 0 2 3 4 6 7 8 9 10 11 = 2: 0 1 2 4 5 6 7 8 9 10 = 3: 0 1 3 4 5 6 7 8 9 11 = 4: 0 2 3 4 5 6 7 8 10 11 = 6: 0 1 2 3 4 5 6 8 9 10 = 7: 0 1 2 3 4 5 7 8 9 11 = 8: 0 1 2 3 4 6 7 8 10 11 = 9: 0 1 2 3 5 6 7 9 10 11 = 10: 0 1 2 4 5 6 8 9 10 11 = 11: 0 1 3 4 5 7 8 9 10 11 0 2 3 4 6 7 8 9 11 = 0: 0 2 3 4 6 7 8 9 11 = 2: 0 1 2 4 5 6 7 9 10 = 3: 0 1 3 4 5 6 8 9 11 = 4: 0 2 3 4 5 7 8 10 11 = 6: 0 1 2 3 5 6 8 9 10 = 7: 0 1 2 4 5 7 8 9 11 = 8: 0 1 3 4 6 7 8 10 11 = 9: 0 2 3 5 6 7 9 10 11 = 11: 0 1 3 4 5 7 8 9 10 0 2 3 4 6 8 9 10 11 = 0: 0 2 3 4 6 8 9 10 11 = 2: 0 1 2 4 6 7 8 9 10 = 3: 0 1 3 5 6 7 8 9 11 = 4: 0 2 4 5 6 7 8 10 11 = 6: 0 2 3 4 5 6 8 9 10 = 8: 0 1 2 3 4 6 7 8 10 = 9: 0 1 2 3 5 6 7 9 11 = 10: 0 1 2 4 5 6 8 10 11 = 11: 0 1 3 4 5 7 9 10 11 0 2 3 4 6 8 9 11 = 0: 0 2 3 4 6 8 9 11 = 2: 0 1 2 4 6 7 9 10 = 3: 0 1 3 5 6 8 9 11 = 4: 0 2 4 5 7 8 10 11 = 6: 0 2 3 5 6 8 9 10 = 8: 0 1 3 4 6 7 8 10 = 9: 0 2 3 5 6 7 9 11 = 11: 0 1 3 4 5 7 9 10 0 2 3 5 6 7 8 9 10 11 = 0: 0 2 3 5 6 7 8 9 10 11 = 2: 0 1 3 4 5 6 7 8 9 10 = 3: 0 2 3 4 5 6 7 8 9 11 = 5: 0 1 2 3 4 5 6 7 9 10 = 6: 0 1 2 3 4 5 6 8 9 11 = 7: 0 1 2 3 4 5 7 8 10 11 = 8: 0 1 2 3 4 6 7 9 10 11 = 9: 0 1 2 3 5 6 8 9 10 11 = 10: 0 1 2 4 5 7 8 9 10 11 = 11: 0 1 3 4 6 7 8 9 10 11 0 2 3 5 6 7 8 9 11 = 0: 0 2 3 5 6 7 8 9 11 = 2: 0 1 3 4 5 6 7 9 10 = 3: 0 2 3 4 5 6 8 9 11 = 5: 0 1 2 3 4 6 7 9 10 = 6: 0 1 2 3 5 6 8 9 11 = 7: 0 1 2 4 5 7 8 10 11 = 8: 0 1 3 4 6 7 9 10 11 = 9: 0 2 3 5 6 8 9 10 11 = 11: 0 1 3 4 6 7 8 9 10 0 2 3 5 6 8 9 10 11 = 0: 0 2 3 5 6 8 9 10 11 = 2: 0 1 3 4 6 7 8 9 10 = 3: 0 2 3 5 6 7 8 9 11 = 5: 0 1 3 4 5 6 7 9 10 = 6: 0 2 3 4 5 6 8 9 11 = 8: 0 1 2 3 4 6 7 9 10 = 9: 0 1 2 3 5 6 8 9 11 = 10: 0 1 2 4 5 7 8 10 11 = 11: 0 1 3 4 6 7 9 10 11 0 2 3 5 6 8 9 11 = 0: 0 2 3 5 6 8 9 11 = 2: 0 1 3 4 6 7 9 10 = 3: 0 2 3 5 6 8 9 11 = 5: 0 1 3 4 6 7 9 10 = 6: 0 2 3 5 6 8 9 11 = 8: 0 1 3 4 6 7 9 10 = 9: 0 2 3 5 6 8 9 11 = 11: 0 1 3 4 6 7 9 10 0 2 3 6 7 8 9 10 11 = 0: 0 2 3 6 7 8 9 10 11 = 2: 0 1 4 5 6 7 8 9 10 = 3: 0 3 4 5 6 7 8 9 11 = 6: 0 1 2 3 4 5 6 8 9 = 7: 0 1 2 3 4 5 7 8 11 = 8: 0 1 2 3 4 6 7 10 11 = 9: 0 1 2 3 5 6 9 10 11 = 10: 0 1 2 4 5 8 9 10 11 = 11: 0 1 3 4 7 8 9 10 11 0 2 3 6 7 8 9 11 = 0: 0 2 3 6 7 8 9 11 = 2: 0 1 4 5 6 7 9 10 = 3: 0 3 4 5 6 8 9 11 = 6: 0 1 2 3 5 6 8 9 = 7: 0 1 2 4 5 7 8 11 = 8: 0 1 3 4 6 7 10 11 = 9: 0 2 3 5 6 9 10 11 = 11: 0 1 3 4 7 8 9 10 0 2 3 6 8 9 10 11 = 0: 0 2 3 6 8 9 10 11 = 2: 0 1 4 6 7 8 9 10 = 3: 0 3 5 6 7 8 9 11 = 6: 0 2 3 4 5 6 8 9 = 8: 0 1 2 3 4 6 7 10 = 9: 0 1 2 3 5 6 9 11 = 10: 0 1 2 4 5 8 10 11 = 11: 0 1 3 4 7 9 10 11 0 2 3 6 8 9 11 = 0: 0 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 10 = 3: 0 3 5 6 8 9 11 = 6: 0 2 3 5 6 8 9 = 8: 0 1 3 4 6 7 10 = 9: 0 2 3 5 6 9 11 = 11: 0 1 3 4 7 9 10 Parallel Subsets Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 6 7 2 8 2:0 6 2 3 8 9 2:0 1 6 7 0 6 11 2 8 53 0 2 3 6 8 9 11 0 1 6 7 2 8 2:0 6 2 3 8 9 2:0 1 6 7 0 6 11 2 3 8 9 53 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 4 6 2 8 2:0 6 0 2 6 8 2:0 4 6 10 3 9 11 2 8 67 0 2 3 6 8 9 11 0 4 6 10 2 8 2:0 6 0 2 6 8 2:0 4 6 10 3 9 11 0 2 6 8 67 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 3 6 9 0 3 6 9 0:0 3 6 9 0 3 6 9 0:0 3 6 9 2 8 11 0 3 6 9 69 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 1 3 8 11 8:0 3 0 2 8 9 11 2:0 6 7 9 10 3 6 11 98 0 2 3 6 8 9 11 0 2 11 0 9 9:0 3 0 2 8 9 11 2:0 6 7 9 10 3 6 11 98 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 3 4 8 11 8:0 3 0 2 3 8 11 8:0 3 4 6 7 6 9 11 101 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 3 10 8 11 8:0 3 2 6 8 9 11 11:0 3 7 9 10 0 3 11 111 0 2 3 6 8 9 11 0 7 9 2 11 11:0 3 2 6 8 9 11 11:0 3 7 9 10 0 3 11 111 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 3 7 8 11 8:0 3 2 3 6 8 11 11:0 3 4 7 9 0 9 11 122 0 2 3 6 8 9 11 0 4 9 2 11 11:0 3 2 3 6 8 11 11:0 3 4 7 9 0 9 11 122 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 1 2 8 11 11:0 3 9 0 2 3 8 9 11 8:0 1 3 4 6 7 6 '' 190 0 2 3 6 8 9 11 0 11 0 3 9 0:0 3 9 0 2 3 8 9 11 8:0 1 3 4 6 7 6 '' 190 0 2 3 6 8 9 11 0 1 3 4 8 11 8:0 3 0 2 3 8 9 11 8:0 1 3 4 6 7 6 0 11 190 0 2 3 6 8 9 11 0 2 3 11 0 9 9:0 3 0 2 3 8 9 11 8:0 1 3 4 6 7 6 0 11 190 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 2 0 6 9 9:0 3 9 0 2 6 8 9 11 2:0 4 6 7 9 10 3 '' 193 0 2 3 6 8 9 11 0 10 2 8 11 11:0 3 9 0 2 6 8 9 11 2:0 4 6 7 9 10 3 '' 193 0 2 3 6 8 9 11 0 2 3 5 6 9 6:0 3 0 2 6 8 9 11 2:0 4 6 7 9 10 3 9 11 193 0 2 3 6 8 9 11 0 1 3 10 8 11 8:0 3 0 2 6 8 9 11 2:0 4 6 7 9 10 3 9 11 193 0 2 3 6 8 9 11 0 2 9 11 0 9 9:0 3 0 2 6 8 9 11 2:0 4 6 7 9 10 3 9 11 193 0 2 3 6 8 9 11 0 7 9 10 2 11 11:0 3 0 2 6 8 9 11 2:0 4 6 7 9 10 3 9 11 193 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 4 2 8 11 11:0 3 9 0 2 3 6 8 11 11:0 1 3 4 7 9 9 '' 195 0 2 3 6 8 9 11 0 8 0 3 6 3:0 3 9 0 2 3 6 8 11 11:0 1 3 4 7 9 9 '' 195 0 2 3 6 8 9 11 0 3 4 7 8 11 8:0 3 0 2 3 6 8 11 11:0 1 3 4 7 9 9 3 11 195 0 2 3 6 8 9 11 0 1 4 9 2 11 11:0 3 0 2 3 6 8 11 11:0 1 3 4 7 9 9 3 11 195 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 5 3 6 9 6:0 3 9 2 3 6 8 9 11 11:0 3 4 7 9 10 0 '' 208 0 2 3 6 8 9 11 0 7 2 8 11 11:0 3 9 2 3 6 8 9 11 11:0 3 4 7 9 10 0 '' 208 0 2 3 6 8 9 11 0 4 7 9 2 11 11:0 3 2 3 6 8 9 11 11:0 3 4 7 9 10 0 6 11 208 0 2 3 6 8 9 11 0 3 7 10 8 11 8:0 3 2 3 6 8 9 11 11:0 3 4 7 9 10 0 6 11 208 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 0 2 3 6 8 9 2:0 1 4 6 7 10 11 0 2 3 6 8 9 213 0 2 3 6 8 9 11 0 4 6 7 2 8 2:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 2 8 213 0 2 3 6 8 9 11 0 3 5 11 3 9 3:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 2 8 213 0 2 3 6 8 9 11 0 6 7 10 2 8 2:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 2 8 213 0 2 3 6 8 9 11 0 1 4 6 7 2 8 2:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 2 3 8 9 213 0 2 3 6 8 9 11 0 1 4 6 10 2 8 2:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 0 2 6 8 213 0 2 3 6 8 9 11 0 1 6 7 10 2 8 2:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 2 3 8 9 213 0 2 3 6 8 9 11 0 4 6 7 10 2 8 2:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 0 2 6 8 213 0 2 3 6 8 9 11 0 1 4 6 7 10 2 8 2:0 6 0 2 3 6 8 9 2:0 1 4 6 7 10 11 0 2 3 6 8 9 213 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 2 3 6 8 9 11 0 3 0 3 6 8 9 11 8:0 1 3 4 7 10 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 11 277 0 2 3 6 8 9 11 0 9 0 2 3 6 9 11 11:0 1 3 4 7 10 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 11 277 0 2 3 6 8 9 11 0 1 4 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 277 0 2 3 6 8 9 11 0 2 3 0 6 9 9:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 9 277 0 2 3 6 8 9 11 0 1 7 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 3 9 277 0 2 3 6 8 9 11 0 3 5 3 6 9 6:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 6 9 277 0 2 3 6 8 9 11 0 3 6 0 3 6 8 9 8:0 1 4 7 10 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 4 7 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 3 6 277 0 2 3 6 8 9 11 0 3 9 0 3 6 9 11 11:0 1 4 7 10 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 3 11 0 3 9 0:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 277 0 2 3 6 8 9 11 0 4 10 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 6 277 0 2 3 6 8 9 11 0 7 10 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 6 9 277 0 2 3 6 8 9 11 0 1 3 7 8 11 8:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 11 277 0 2 3 6 8 9 11 0 1 4 7 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 2 3 6 0 6 9 9:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 1 4 10 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 3 4 10 8 11 8:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 11 277 0 2 3 6 8 9 11 0 1 7 9 2 11 11:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 11 277 0 2 3 6 8 9 11 0 1 7 10 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 3 5 6 3 6 9 6:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 3 6 11 0 3 9 0:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 4 7 10 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 3 9 11 0 3 9 0:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 4 9 10 2 11 11:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 11 277 0 2 3 6 8 9 11 0 1 3 4 7 8 11 8:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 11 277 0 2 3 6 8 9 11 0 1 3 4 10 8 11 8:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 9 11 277 0 2 3 6 8 9 11 0 2 3 5 6 6 9 6:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 9 11 277 0 2 3 6 8 9 11 0 1 4 7 9 2 11 11:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 3 6 11 277 0 2 3 6 8 9 11 0 1 3 7 10 8 11 8:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 6 9 11 277 0 2 3 6 8 9 11 0 1 4 7 10 2 8 11 11:0 3 9 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 277 0 2 3 6 8 9 11 0 2 3 6 11 0 9 9:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 11 277 0 2 3 6 8 9 11 0 3 4 7 10 8 11 8:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 3 6 11 277 0 2 3 6 8 9 11 0 1 4 9 10 2 11 11:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 11 277 0 2 3 6 8 9 11 0 2 3 9 11 0 9 9:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 9 11 277 0 2 3 6 8 9 11 0 1 7 9 10 2 11 11:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 9 11 277 0 2 3 6 8 9 11 0 3 5 6 8 3 6 3:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 6 9 11 277 0 2 3 6 8 9 11 0 4 7 9 10 2 11 11:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 6 9 11 277 0 2 3 6 8 9 11 0 1 3 4 7 10 8 11 8:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 11 277 0 2 3 6 8 9 11 0 1 4 7 9 10 2 11 11:0 3 0 2 3 6 8 9 11 11:0 1 3 4 7 9 10 '' 0 3 6 9 11 277 Parallel Supersets Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 3 4 6 7 9 10 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 '' 0 1 3 4 6 7 9 10 324 0 1 2 3 4 6 7 9 10 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 2 0 1 3 4 6 7 9 10 324 0 1 3 4 5 6 7 9 10 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 5 0 1 3 4 6 7 9 10 324 0 1 3 4 6 7 8 9 10 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 8 0 1 3 4 6 7 9 10 324 0 1 3 4 6 7 9 10 11 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 11 0 1 3 4 6 7 9 10 324 0 1 2 3 4 5 6 7 9 10 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 2 5 0 1 3 4 6 7 9 10 324 0 1 2 3 4 6 7 8 9 10 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 2 8 0 1 3 4 6 7 9 10 324 0 1 2 3 4 6 7 9 10 11 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 2 11 0 1 3 4 6 7 9 10 324 0 1 3 4 5 6 7 8 9 10 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 5 8 0 1 3 4 6 7 9 10 324 0 1 3 4 5 6 7 9 10 11 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 5 11 0 1 3 4 6 7 9 10 324 0 1 3 4 6 7 8 9 10 11 0 2 3 6 8 9 11 1 4 7 10 1:0 3 6 9 0 1 3 4 6 7 9 10 0:0 1 3 4 6 7 9 10 8 11 0 1 3 4 6 7 9 10 324 0 2 3 5 6 8 9 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 '' 0 2 3 5 6 8 9 11 324 0 1 2 3 5 6 8 9 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 1 0 2 3 5 6 8 9 11 324 0 2 3 5 6 7 8 9 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 7 0 2 3 5 6 8 9 11 324 0 2 3 5 6 8 9 10 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 10 0 2 3 5 6 8 9 11 324 0 1 2 3 4 5 6 8 9 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 1 4 0 2 3 5 6 8 9 11 324 0 1 2 3 5 6 7 8 9 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 1 7 0 2 3 5 6 8 9 11 324 0 1 2 3 5 6 8 9 10 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 1 10 0 2 3 5 6 8 9 11 324 0 2 3 4 5 6 7 8 9 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 4 7 0 2 3 5 6 8 9 11 324 0 2 3 4 5 6 8 9 10 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 4 10 0 2 3 5 6 8 9 11 324 0 2 3 5 6 7 8 9 10 11 0 2 3 6 8 9 11 0 3 6 9 0:0 3 6 9 0 2 3 5 6 8 9 11 2:0 1 3 4 6 7 9 10 7 10 0 2 3 5 6 8 9 11 324 0 1 2 4 5 7 8 10 11 0 2 3 6 8 9 11 2 5 8 11 2:0 3 6 9 1 2 4 5 7 8 10 11 1:0 1 3 4 6 7 9 10 0 1 2 4 5 7 8 10 11 324 0 1 2 3 4 5 7 8 10 11 0 2 3 6 8 9 11 2 5 8 11 2:0 3 6 9 1 2 4 5 7 8 10 11 1:0 1 3 4 6 7 9 10 0 3 1 2 4 5 7 8 10 11 324 0 1 2 4 5 6 7 8 10 11 0 2 3 6 8 9 11 2 5 8 11 2:0 3 6 9 1 2 4 5 7 8 10 11 1:0 1 3 4 6 7 9 10 0 6 1 2 4 5 7 8 10 11 324 0 1 2 4 5 7 8 9 10 11 0 2 3 6 8 9 11 2 5 8 11 2:0 3 6 9 1 2 4 5 7 8 10 11 1:0 1 3 4 6 7 9 10 0 9 1 2 4 5 7 8 10 11 324 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 2 3 6 8 9 11 1 4 6 7 10 6:0 1 4 7 10 0 1 2 3 4 5 6 7 8 9 10 3:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 3 4 6 7 9 10 350 0 1 2 3 4 5 6 7 8 9 11 0 2 3 6 8 9 11 0 3 5 6 9 5:0 1 4 7 10 0 1 2 3 4 5 6 7 8 9 11 2:0 1 2 3 4 5 6 7 9 10 11 '' 0 2 3 5 6 8 9 11 350 0 1 2 3 4 5 6 7 8 10 11 0 2 3 6 8 9 11 2 4 5 8 11 4:0 1 4 7 10 0 1 2 3 4 5 6 7 8 10 11 1:0 1 2 3 4 5 6 7 9 10 11 '' 1 2 4 5 7 8 10 11 350 0 1 2 3 4 5 6 7 9 10 11 0 2 3 6 8 9 11 1 3 4 7 10 3:0 1 4 7 10 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 3 4 6 7 9 10 350 0 1 2 3 4 5 6 8 9 10 11 0 2 3 6 8 9 11 0 2 3 6 9 2:0 1 4 7 10 0 1 2 3 4 5 6 8 9 10 11 11:0 1 2 3 4 5 6 7 9 10 11 '' 0 2 3 5 6 8 9 11 350 0 1 2 3 4 5 7 8 9 10 11 0 2 3 6 8 9 11 1 2 5 8 11 1:0 1 4 7 10 0 1 2 3 4 5 7 8 9 10 11 10:0 1 2 3 4 5 6 7 9 10 11 '' 1 2 4 5 7 8 10 11 350 0 1 2 3 4 6 7 8 9 10 11 0 2 3 6 8 9 11 0 1 4 7 10 0:0 1 4 7 10 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 3 4 6 7 9 10 350 0 1 2 3 5 6 7 8 9 10 11 0 2 3 6 8 9 11 0 3 6 9 11 11:0 1 4 7 10 0 1 2 3 5 6 7 8 9 10 11 8:0 1 2 3 4 5 6 7 9 10 11 '' 0 2 3 5 6 8 9 11 350 0 1 2 4 5 6 7 8 9 10 11 0 2 3 6 8 9 11 2 5 8 10 11 10:0 1 4 7 10 0 1 2 4 5 6 7 8 9 10 11 7:0 1 2 3 4 5 6 7 9 10 11 '' 1 2 4 5 7 8 10 11 350 0 1 3 4 5 6 7 8 9 10 11 0 2 3 6 8 9 11 1 4 7 9 10 9:0 1 4 7 10 0 1 3 4 5 6 7 8 9 10 11 6:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 3 4 6 7 9 10 350 0 2 3 4 5 6 7 8 9 10 11 0 2 3 6 8 9 11 0 3 6 8 9 8:0 1 4 7 10 0 2 3 4 5 6 7 8 9 10 11 5:0 1 2 3 4 5 6 7 9 10 11 '' 0 2 3 5 6 8 9 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 2 3 6 8 9 11 = 0: 0 2 3 6 8 9 11 = 2: 0 1 4 6 7 9 10 = 3: 0 3 5 6 8 9 11 = 6: 0 2 3 5 6 8 9 = 8: 0 1 3 4 6 7 10 = 9: 0 2 3 5 6 9 11 = 11: 0 1 3 4 7 9 10

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

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

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

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

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

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9
0 2 = maj. 2nd, dim., maj. 9th	\|	0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9

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

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th	\|	0 2 3 6 8 9 = 0: 0 2 3 6 8 9 = 2: 0 1 4 6 7 10 = 3: 0 3 5 6 9 11 = 6: 0 2 3 6 8 9 = 8: 0 1 4 6 7 10 = 9: 0 3 5 6 9 11

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9

6ths / 13ths (Scale Degrees: 16)
0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th	\|	0 3 6 = 0: 0 3 6 = 3: 0 3 9 = 6: 0 6 9
0 9 = maj. 6th, maj. 13th, dim. 7th	\|	0 2 3 6 9 11 = 0: 0 2 3 6 9 11 = 2: 0 1 4 7 9 10 = 3: 0 3 6 8 9 11 = 6: 0 3 5 6 8 9 = 9: 0 2 3 5 6 9 = 11: 0 1 3 4 7 10

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

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	8 11 = 8: 0 3 = 11: 0 9
0 1 4	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9
0 2 3 = min. trichord	\|	0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9
0 3 4	\|	8 11 = 8: 0 3 = 11: 0 9

Sus2 triads (Scale Degrees: 125)
0 1 7	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9

Root with upper and lower neighbors (Scale Degrees: 127)
0 2 11	\|	0 9 = 0: 0 9 = 9: 0 3

Scale Degrees: 134
0 3 5	\|	3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	0 3 6 8 9 = 0: 0 3 6 8 9 = 3: 0 3 5 6 9 = 6: 0 2 3 6 9 = 8: 0 1 4 7 10 = 9: 0 3 6 9 11
0 3 7 = m = minor	\|	8 11 = 8: 0 3 = 11: 0 9
0 4 6 = Mb5	\|	2 8 = 2: 0 6 = 8: 0 6
0 4 7 = M = major	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	0 3 6 9 11 = 0: 0 3 6 9 11 = 3: 0 3 6 8 9 = 6: 0 3 5 6 9 = 9: 0 2 3 6 9 = 11: 0 1 4 7 10
0 4 9 = M6 no 5th	\|	2 11 = 2: 0 9 = 11: 0 3

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	8 11 = 8: 0 3 = 11: 0 9
0 3 11 = mM7 no 5th	\|	0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6
0 4 10 = 7 no 5th	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9

Sus4 Triads (Scale Degrees: 145)
0 6 7 = sus#4, Viennese trichord	\|	2 8 = 2: 0 6 = 8: 0 6

6th chords no 3rd (Scale Degrees: 156)
0 7 9	\|	2 11 = 2: 0 9 = 11: 0 3

7th chords no 3rd (Scale Degrees: 157)
0 7 10 = m power chord	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9

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

1st 3 notes of diamorphic scale (Scale Degrees: 1234)
0 2 3 5 = min. tetrachord	\|	6 9 = 6: 0 3 = 9: 0 9

Add 9 Chords (Scale Degrees: 1235)
0 1 3 6 = dim. add b9	\|	8 = 8: 0
0 1 3 7 = m add b9, all-int	\|	8 11 = 8: 0 3 = 11: 0 9
0 1 4 7 = M add b9	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9
0 2 3 6 = dim. add 9	\|	0 6 9 = 0: 0 6 9 = 6: 0 3 6 = 9: 0 3 9
0 3 4 6 = Mb5 add #9	\|	8 = 8: 0
0 3 4 7 = add #9, maj-min chord	\|	8 11 = 8: 0 3 = 11: 0 9

6/9 chord no 5th (Scale Degrees: 1236)
0 1 4 9	\|	2 11 = 2: 0 9 = 11: 0 3
0 3 4 9	\|	11 = 11: 0

9th chords no 5th (Scale Degrees: 1237)
0 1 3 10 = M7b9 no 5th	\|	8 11 = 8: 0 3 = 11: 0 9
0 1 4 10 = 7b9 no 5th	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9
0 2 3 11 = mM9 no 5th	\|	0 9 = 0: 0 9 = 9: 0 3
0 3 4 10 = 7#9 no 5th, Hendrix, all-int	\|	8 11 = 8: 0 3 = 11: 0 9

11th chords no 3rd no 7th (Scale Degrees: 1245)
0 1 6 7	\|	2 8 = 2: 0 6 = 8: 0 6

6/9 chords no 3rd (Scale Degrees: 1256)
0 1 7 9 = all-int	\|	2 11 = 2: 0 9 = 11: 0 3

9th chords no 3rd (Scale Degrees: 1257)
0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9

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

Add 11 Chords (Scale Degrees: 1345)
0 3 5 6 = blues tetrachord	\|	3 6 9 = 3: 0 3 6 = 6: 0 3 9 = 9: 0 6 9
0 3 6 7 = m add #11	\|	8 = 8: 0
0 4 6 7 = Madd#11, Jetsons, all-int	\|	2 8 = 2: 0 6 = 8: 0 6

11th chords no 5th no 9th (Scale Degrees: 1347)
0 3 5 11 = all-int	\|	3 9 = 3: 0 6 = 9: 0 6

6th Chords (Scale Degrees: 1356)
0 3 6 9 = dim. 7, m6b5	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9
0 3 7 9 = m6 , Tristan chord	\|	11 = 11: 0
0 4 7 9 = 6	\|	2 11 = 2: 0 9 = 11: 0 3

7th Chords (Scale Degrees: 1357)
0 3 6 10 = m7b5, Tristan chord, half-dim. 7th	\|	8 = 8: 0
0 3 6 11 = mM7b5, dim. maj. 7th chord	\|	0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6
0 3 7 10 = m7	\|	8 11 = 8: 0 3 = 11: 0 9
0 4 6 10 = 7b5, French aug. 6th chord	\|	2 8 = 2: 0 6 = 8: 0 6
0 4 7 10 = 7, German aug. 6th chord	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 10 = m7/6 no 5th	\|	11 = 11: 0
0 3 9 11 = mM7/6 no 5th	\|	0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6
0 4 9 10 = 7/6 no 5th, all-int	\|	2 11 = 2: 0 9 = 11: 0 3

Scale Degrees: 1456
0 6 7 9	\|	2 = 2: 0

Sus 4 7th Chords (Scale Degrees: 1457)
0 6 7 10 = 7sus#4, all-int	\|	2 8 = 2: 0 6 = 8: 0 6

Scale Degrees: 1567
0 7 9 10	\|	2 11 = 2: 0 9 = 11: 0 3

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

Scale Degrees: 12235
0 1 3 4 7	\|	8 11 = 8: 0 3 = 11: 0 9

Scale Degrees: 12236
0 1 3 4 9	\|	11 = 11: 0

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

1st 5 notes of diamorphic scale (Scale Degrees: 12345)
0 1 3 6 7	\|	8 = 8: 0
0 1 4 6 7	\|	2 8 = 2: 0 6 = 8: 0 6
0 2 3 5 6	\|	6 9 = 6: 0 3 = 9: 0 9
0 3 4 6 7	\|	8 = 8: 0

6/9 chords (Scale Degrees: 12356)
0 1 3 7 9	\|	11 = 11: 0
0 1 4 7 9 = Elektra chord	\|	2 11 = 2: 0 9 = 11: 0 3
0 3 4 7 9 = slendro	\|	11 = 11: 0

9th chords (Scale Degrees: 12357)
0 1 3 6 10 = m7b5b9	\|	8 = 8: 0
0 1 3 7 10 = m7b9	\|	8 11 = 8: 0 3 = 11: 0 9
0 1 4 6 10 = 7b5b9	\|	2 8 = 2: 0 6 = 8: 0 6
0 1 4 7 10 = 7b9	\|	2 8 11 = 2: 0 6 9 = 8: 0 3 6 = 11: 0 3 9
0 2 3 6 11 = mM9b5	\|	0 9 = 0: 0 9 = 9: 0 3
0 3 4 6 10 = 7b5#9	\|	8 = 8: 0
0 3 4 7 10 = 7#9	\|	8 11 = 8: 0 3 = 11: 0 9

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

Scale Degrees: 12456
0 1 6 7 9	\|	2 = 2: 0

11th chords no 3rd (Scale Degrees: 12457)
0 1 6 7 10	\|	2 8 = 2: 0 6 = 8: 0 6

13th chords no 3rd no 11th (Scale Degrees: 12567)
0 1 7 9 10	\|	2 11 = 2: 0 9 = 11: 0 3

Scale Degrees: 13456
0 3 5 6 8	\|	3 6 = 3: 0 3 = 6: 0 9
0 4 6 7 9	\|	2 = 2: 0

11th Chords no 9th (Scale Degrees: 13457)
0 3 6 7 10 = m7#11 no 9th, batti min. #4	\|	8 = 8: 0
0 4 6 7 10 = 7#11 no 9th	\|	2 8 = 2: 0 6 = 8: 0 6

7/6 Chords (Scale Degrees: 13567)
0 3 7 9 10 = m7/6	\|	11 = 11: 0
0 4 7 9 10 = 7/6, boogie woogie	\|	2 11 = 2: 0 9 = 11: 0 3

13th chords no 3rd no 9th (Scale Degrees: 14567)
0 6 7 9 10	\|	2 = 2: 0

Scale Degrees: 122345
0 1 3 4 6 7 = Istrian	\|	8 = 8: 0

Scale Degrees: 122356
0 1 3 4 7 9	\|	11 = 11: 0

Scale Degrees: 122357
0 1 3 4 7 10	\|	8 11 = 8: 0 3 = 11: 0 9

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

1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456)
0 1 4 6 7 9	\|	2 = 2: 0
0 2 3 5 6 8	\|	6 = 6: 0

11th chords = diamorphic scales no 6th (Scale Degrees: 123457)
0 1 3 6 7 10 = m#11b9	\|	8 = 8: 0
0 1 4 6 7 10 = M#11b9, Tritone scale, Petrushka	\|	2 8 = 2: 0 6 = 8: 0 6
0 2 3 5 6 11 = mM#11	\|	9 = 9: 0
0 3 4 6 7 10 = 7#9#11	\|	8 = 8: 0

13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567)
0 1 3 7 9 10 = m13b9 no 11th	\|	11 = 11: 0
0 1 4 7 9 10 = 13b9 no 11th	\|	2 11 = 2: 0 9 = 11: 0 3
0 3 4 7 9 10 = 13#9 no 11th	\|	11 = 11: 0

diamorphic scales no 3rd (Scale Degrees: 124567)
0 1 6 7 9 10	\|	2 = 2: 0

diamorphic scales no 2nd (Scale Degrees: 134567)
0 4 6 7 9 10 = 13#11 no 9th	\|	2 = 2: 0

Scale Degrees: 1223457
0 1 3 4 6 7 10	\|	8 = 8: 0

Scale Degrees: 1223567
0 1 3 4 7 9 10	\|	11 = 11: 0

13th chords, diamorphic scales (Scale Degrees: 1234567)
0 1 4 6 7 9 10 = 13b9#11, Ramapriya	\|	2 = 2: 0
0 2 3 5 6 9 11 = mM13#11	\|	9 = 9: 0
0 2 3 6 8 9 11 = mM13#5#11	\|	0 = 0: 0

Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 6 7	2 8	2:0 6	2 3 8 9	2:0 1 6 7	0 6 11	2 8	53
0 2 3 6 8 9 11	0 1 6 7	2 8	2:0 6	2 3 8 9	2:0 1 6 7	0 6 11	2 3 8 9	53
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 4 6	2 8	2:0 6	0 2 6 8	2:0 4 6 10	3 9 11	2 8	67
0 2 3 6 8 9 11	0 4 6 10	2 8	2:0 6	0 2 6 8	2:0 4 6 10	3 9 11	0 2 6 8	67
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 3 6 9	0 3 6 9	0:0 3 6 9	0 3 6 9	0:0 3 6 9	2 8 11	0 3 6 9	69
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 1 3	8 11	8:0 3	0 2 8 9 11	2:0 6 7 9 10	3 6	11	98
0 2 3 6 8 9 11	0 2 11	0 9	9:0 3	0 2 8 9 11	2:0 6 7 9 10	3 6	11	98
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 3 4	8 11	8:0 3	0 2 3 8 11	8:0 3 4 6 7	6 9	11	101
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 3 10	8 11	8:0 3	2 6 8 9 11	11:0 3 7 9 10	0 3	11	111
0 2 3 6 8 9 11	0 7 9	2 11	11:0 3	2 6 8 9 11	11:0 3 7 9 10	0 3	11	111
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 3 7	8 11	8:0 3	2 3 6 8 11	11:0 3 4 7 9	0 9	11	122
0 2 3 6 8 9 11	0 4 9	2 11	11:0 3	2 3 6 8 11	11:0 3 4 7 9	0 9	11	122
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 1	2 8 11	11:0 3 9	0 2 3 8 9 11	8:0 1 3 4 6 7	6	''	190
0 2 3 6 8 9 11	0 11	0 3 9	0:0 3 9	0 2 3 8 9 11	8:0 1 3 4 6 7	6	''	190
0 2 3 6 8 9 11	0 1 3 4	8 11	8:0 3	0 2 3 8 9 11	8:0 1 3 4 6 7	6	0 11	190
0 2 3 6 8 9 11	0 2 3 11	0 9	9:0 3	0 2 3 8 9 11	8:0 1 3 4 6 7	6	0 11	190
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 2	0 6 9	9:0 3 9	0 2 6 8 9 11	2:0 4 6 7 9 10	3	''	193
0 2 3 6 8 9 11	0 10	2 8 11	11:0 3 9	0 2 6 8 9 11	2:0 4 6 7 9 10	3	''	193
0 2 3 6 8 9 11	0 2 3 5	6 9	6:0 3	0 2 6 8 9 11	2:0 4 6 7 9 10	3	9 11	193
0 2 3 6 8 9 11	0 1 3 10	8 11	8:0 3	0 2 6 8 9 11	2:0 4 6 7 9 10	3	9 11	193
0 2 3 6 8 9 11	0 2 9 11	0 9	9:0 3	0 2 6 8 9 11	2:0 4 6 7 9 10	3	9 11	193
0 2 3 6 8 9 11	0 7 9 10	2 11	11:0 3	0 2 6 8 9 11	2:0 4 6 7 9 10	3	9 11	193
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 4	2 8 11	11:0 3 9	0 2 3 6 8 11	11:0 1 3 4 7 9	9	''	195
0 2 3 6 8 9 11	0 8	0 3 6	3:0 3 9	0 2 3 6 8 11	11:0 1 3 4 7 9	9	''	195
0 2 3 6 8 9 11	0 3 4 7	8 11	8:0 3	0 2 3 6 8 11	11:0 1 3 4 7 9	9	3 11	195
0 2 3 6 8 9 11	0 1 4 9	2 11	11:0 3	0 2 3 6 8 11	11:0 1 3 4 7 9	9	3 11	195
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 5	3 6 9	6:0 3 9	2 3 6 8 9 11	11:0 3 4 7 9 10	0	''	208
0 2 3 6 8 9 11	0 7	2 8 11	11:0 3 9	2 3 6 8 9 11	11:0 3 4 7 9 10	0	''	208
0 2 3 6 8 9 11	0 4 7 9	2 11	11:0 3	2 3 6 8 9 11	11:0 3 4 7 9 10	0	6 11	208
0 2 3 6 8 9 11	0 3 7 10	8 11	8:0 3	2 3 6 8 9 11	11:0 3 4 7 9 10	0	6 11	208
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	0 2 3 6 8 9	2:0 1 4 6 7 10	11	0 2 3 6 8 9	213
0 2 3 6 8 9 11	0 4 6 7	2 8	2:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	2 8	213
0 2 3 6 8 9 11	0 3 5 11	3 9	3:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	2 8	213
0 2 3 6 8 9 11	0 6 7 10	2 8	2:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	2 8	213
0 2 3 6 8 9 11	0 1 4 6 7	2 8	2:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	2 3 8 9	213
0 2 3 6 8 9 11	0 1 4 6 10	2 8	2:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	0 2 6 8	213
0 2 3 6 8 9 11	0 1 6 7 10	2 8	2:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	2 3 8 9	213
0 2 3 6 8 9 11	0 4 6 7 10	2 8	2:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	0 2 6 8	213
0 2 3 6 8 9 11	0 1 4 6 7 10	2 8	2:0 6	0 2 3 6 8 9	2:0 1 4 6 7 10	11	0 2 3 6 8 9	213
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 2 3 6 8 9 11	0 3	0 3 6 8 9 11	8:0 1 3 4 7 10	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9 11	277
0 2 3 6 8 9 11	0 9	0 2 3 6 9 11	11:0 1 3 4 7 10	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9 11	277
0 2 3 6 8 9 11	0 1 4	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3	277
0 2 3 6 8 9 11	0 2 3	0 6 9	9:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 9	277
0 2 3 6 8 9 11	0 1 7	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	3 9	277
0 2 3 6 8 9 11	0 3 5	3 6 9	6:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	6 9	277
0 2 3 6 8 9 11	0 3 6	0 3 6 8 9	8:0 1 4 7 10	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 4 7	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	3 6	277
0 2 3 6 8 9 11	0 3 9	0 3 6 9 11	11:0 1 4 7 10	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 3 11	0 3 9	0:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3	277
0 2 3 6 8 9 11	0 4 10	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 6	277
0 2 3 6 8 9 11	0 7 10	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	6 9	277
0 2 3 6 8 9 11	0 1 3 7	8 11	8:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	11	277
0 2 3 6 8 9 11	0 1 4 7	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 2 3 6	0 6 9	9:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 1 4 10	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 3 4 10	8 11	8:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	11	277
0 2 3 6 8 9 11	0 1 7 9	2 11	11:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	11	277
0 2 3 6 8 9 11	0 1 7 10	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 3 5 6	3 6 9	6:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 3 6 11	0 3 9	0:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 4 7 10	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 3 9 11	0 3 9	0:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 4 9 10	2 11	11:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	11	277
0 2 3 6 8 9 11	0 1 3 4 7	8 11	8:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 11	277
0 2 3 6 8 9 11	0 1 3 4 10	8 11	8:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 9 11	277
0 2 3 6 8 9 11	0 2 3 5 6	6 9	6:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 9 11	277
0 2 3 6 8 9 11	0 1 4 7 9	2 11	11:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	3 6 11	277
0 2 3 6 8 9 11	0 1 3 7 10	8 11	8:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	6 9 11	277
0 2 3 6 8 9 11	0 1 4 7 10	2 8 11	11:0 3 9	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9	277
0 2 3 6 8 9 11	0 2 3 6 11	0 9	9:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 11	277
0 2 3 6 8 9 11	0 3 4 7 10	8 11	8:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	3 6 11	277
0 2 3 6 8 9 11	0 1 4 9 10	2 11	11:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 11	277
0 2 3 6 8 9 11	0 2 3 9 11	0 9	9:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 9 11	277
0 2 3 6 8 9 11	0 1 7 9 10	2 11	11:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 9 11	277
0 2 3 6 8 9 11	0 3 5 6 8	3 6	3:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	6 9 11	277
0 2 3 6 8 9 11	0 4 7 9 10	2 11	11:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	6 9 11	277
0 2 3 6 8 9 11	0 1 3 4 7 10	8 11	8:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9 11	277
0 2 3 6 8 9 11	0 1 4 7 9 10	2 11	11:0 3	0 2 3 6 8 9 11	11:0 1 3 4 7 9 10	''	0 3 6 9 11	277