Chord Type: 0 2 3 5 7 8 11

0 2 3 5 7 8 11 = harmonic minor = mMb13 = mela 21 Keeravani

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Chord Type: 0 2 3 5 7 8 11

Chord Type Fun Facts 0 2 3 5 7 8 11 Subset of Harmonic Minor (0 2 3 5 7 8 11) Diamorphic Modal System Fun Facts 0 1 3 4 6 8 9 Subset of Harmonic Minor Modal System Subset of Dorian Blues Scale General Statistics Cardinality: 7 Jordan Number: 7-63 Forte Number: 7-32 Forte Prime Form: [0,1,3,4,6,8,9] Zeitler Scale Name: Mydian Ian Ring's Scale Page 2477 Root Reference: 0 2 3 5 7 8 11 Tone Stacking: 0 2 1 2 2 1 3 Interval Stacking: 2 1 2 2 1 3 1 Binary: 1 0 1 1 0 1 0 1 1 0 0 1 Decimal Value: 2477 Interval Vector: 3 3 5 4 4 2 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.167 Harmonic Adjacency (0-1): 0.583 Modal-system-invariant under multiplication by: 1 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 5 7 8 11 |harmonic minor = mMb13 = mela 21 Keeravani +1= 0 1 3 4 6 8 9 | +2= 1 2 4 5 7 9 10 | +3= 2 3 5 6 8 10 11 | +4= 0 3 4 6 7 9 11 |M13#9#11 = Hungarian major II = mustar = periaiotikos = mela 71 Kosalamu +5= 0 1 4 5 7 8 10 |7b13b9 = 7-tone Spanish phrygian = Spanish Gypsy = phrygian major = phrygian dominant = Freygish scale = Mixolydian b9 b13 chord scale = Hijaz-Nahawand or Hijaz = Ahava Rabbah = Dastgah-e Homayoun (Iran) = raga Hijaz Bhairav (Basant Mukhari) = raga Vakulabharanam +6= 1 2 5 6 8 9 11 | +7= 0 2 3 6 7 9 10 |m13#11 = Misheberak scale = Ukrainian Dorian scale = souzinak = Romanian Minor scale = mela 58 Hemavati +8= 1 3 4 7 8 10 11 | +9= 0 2 4 5 8 9 11 |M13#5 +10= 0 1 3 5 6 9 10 |m13b5b9 = oriental +11= 1 2 4 6 7 10 11 | Modes of Chord Type: (mode 0) 0: 0 2 3 5 7 8 11 | harmonic minor = mMb13 = mela 21 Keeravani (mode 1) 2: 0 1 3 5 6 9 10 | m13b5b9 = oriental (mode 2) 3: 0 2 4 5 8 9 11 | M13#5 (mode 3) 5: 0 2 3 6 7 9 10 | m13#11 = Misheberak scale = Ukrainian Dorian scale = souzinak = Romanian Minor scale = mela 58 Hemavati (mode 4) 7: 0 1 4 5 7 8 10 | 7b13b9 = 7-tone Spanish phrygian = Spanish Gypsy = phrygian major = phrygian dominant = Freygish scale = Mixolydian b9 b13 chord scale = Hijaz-Nahawand or Hijaz = Ahava Rabbah = Dastgah-e Homayoun (Iran) = raga Hijaz Bhairav (Basant Mukhari) = raga Vakulabharanam (mode 5) 8: 0 3 4 6 7 9 11 | M13#9#11 = Hungarian major II = mustar = periaiotikos = mela 71 Kosalamu (mode 6) 11: 0 1 3 4 6 8 9 | Modes of Chord Type Sorted by Rootedness: 1.633(mode 5)8:0 3 4 6 7 9 11 |M13#9#11 = Hungarian major II = mustar = periaiotikos = mela 71 Kosalamu 1.250(mode 3)5:0 2 3 6 7 9 10 |m13#11 = Misheberak scale = Ukrainian Dorian scale = souzinak = Romanian Minor scale = mela 58 Hemavati .925(mode 4)7:0 1 4 5 7 8 10 |7b13b9 = 7-tone Spanish phrygian = Spanish Gypsy = phrygian major = phrygian dominant = Freygish scale = Mixolydian b9 b13 chord scale = Hijaz-Nahawand or Hijaz = Ahava Rabbah = Dastgah-e Homayoun (Iran) = raga Hijaz Bhairav (Basant Mukhari) = raga Vakulabharanam .675(mode 0)0:0 2 3 5 7 8 11 |harmonic minor = mMb13 = mela 21 Keeravani .633(mode 6)11:0 1 3 4 6 8 9 | .375(mode 2)3:0 2 4 5 8 9 11 |M13#5 .242(mode 1)2:0 1 3 5 6 9 10 |m13b5b9 = oriental Inversion at 0: 0 1 4 5 7 9 10 (mode 0) 0: 0 1 4 5 7 9 10 | 13b9 = neapolitan mixolydian = mela 16 Chakravakam (mode 1) 1: 0 3 4 6 8 9 11 | mM13#5#9 (mode 2) 4: 0 1 3 5 6 8 9 | (mode 3) 5: 0 2 4 5 7 8 11 | Harmonic major = Mb13 = mela 27 Sarasangi = suzinak (mode 4) 7: 0 2 3 5 6 9 10 | m13b5 = doric locrian = kiordi ascending (mode 5) 9: 0 1 3 4 7 8 10 | Shostakovitch = altered scale (mode 6) 10: 0 2 3 6 7 9 11 | mM13#11 = lydian diminished = mela 59 Dharmavati Times 7: 0 1 2 5 8 9 11 (mode 0) 0: 0 1 2 5 8 9 11 | (mode 1) 1: 0 1 4 7 8 10 11 | (mode 2) 2: 0 3 6 7 9 10 11 | (mode 3) 5: 0 3 4 6 7 8 9 | mela 67 Sucharitra (mode 4) 8: 0 1 3 4 5 6 9 | (mode 5) 9: 0 2 3 4 5 8 11 | (mode 6) 11: 0 1 2 3 6 9 10 | Times 5: 0 1 3 4 7 10 11 (mode 0) 0: 0 1 3 4 7 10 11 | (mode 1) 1: 0 2 3 6 9 10 11 | (mode 2) 3: 0 1 4 7 8 9 10 | (mode 3) 4: 0 3 6 7 8 9 11 | (mode 4) 7: 0 3 4 5 6 8 9 | (mode 5) 10: 0 1 2 3 5 6 9 | (mode 6) 11: 0 1 2 4 5 8 11 | Modal System: 0 1 3 4 6 8 9 from root(s) 11 | "harmonic minor modal system" Modes of Modal System: (mode 0) 0: 0 1 3 4 6 8 9 | (mode 1) 1: 0 2 3 5 7 8 11 | harmonic minor = mMb13 = mela 21 Keeravani (mode 2) 3: 0 1 3 5 6 9 10 | m13b5b9 = oriental (mode 3) 4: 0 2 4 5 8 9 11 | M13#5 (mode 4) 6: 0 2 3 6 7 9 10 | m13#11 = Misheberak scale = Ukrainian Dorian scale = souzinak = Romanian Minor scale = mela 58 Hemavati (mode 5) 8: 0 1 4 5 7 8 10 | 7b13b9 = 7-tone Spanish phrygian = Spanish Gypsy = phrygian major = phrygian dominant = Freygish scale = Mixolydian b9 b13 chord scale = Hijaz-Nahawand or Hijaz = Ahava Rabbah = Dastgah-e Homayoun (Iran) = raga Hijaz Bhairav (Basant Mukhari) = raga Vakulabharanam (mode 6) 9: 0 3 4 6 7 9 11 | M13#9#11 = Hungarian major II = mustar = periaiotikos = mela 71 Kosalamu Complement: 1 4 6 9 10 (mode 0) 1: 0 3 5 8 9 | (mode 1) 4: 0 2 5 6 9 | (mode 2) 6: 0 3 4 7 10 | 7#9 (mode 3) 9: 0 1 4 7 9 | Elektra chord (mode 4) 10: 0 3 6 8 11 | All but the root (subchroma complement of 0): 2 3 5 7 8 11 (mode 0) 2: 0 1 3 5 6 9 | (mode 1) 3: 0 2 4 5 8 11 | (mode 2) 5: 0 2 3 6 9 10 | (mode 3) 7: 0 1 4 7 8 10 | 7b13b9 no 11th (mode 4) 8: 0 3 6 7 9 11 | mM13#11 no 9th (mode 5) 11: 0 3 4 6 8 9 | 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) Harmonic minor scale - Wikipedia Keeravani - 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: 2 3 5 8 11 (mode 0) 2: 0 1 3 6 9 | (mode 1) 3: 0 2 5 8 11 | (mode 2) 5: 0 3 6 9 10 | (mode 3) 8: 0 3 6 7 9 | (mode 4) 11: 0 3 4 6 9 | Alt-Dechromaticised but Keep 0 0 2 3 5 8 11 (mode 0) 0: 0 2 3 5 8 11 | (mode 1) 2: 0 1 3 6 9 10 | (mode 2) 3: 0 2 5 8 9 11 | (mode 3) 5: 0 3 6 7 9 10 | m13#11 no 9th (mode 4) 8: 0 3 4 6 7 9 | (mode 5) 11: 0 1 3 4 6 9 | Alt-Dechromaticised but Keep 0 7 0 2 3 5 7 8 11 (mode 0) 0: 0 2 3 5 7 8 11 | harmonic minor = mMb13 = mela 21 Keeravani (mode 1) 2: 0 1 3 5 6 9 10 | m13b5b9 = oriental (mode 2) 3: 0 2 4 5 8 9 11 | M13#5 (mode 3) 5: 0 2 3 6 7 9 10 | m13#11 = Misheberak scale = Ukrainian Dorian scale = souzinak = Romanian Minor scale = mela 58 Hemavati (mode 4) 7: 0 1 4 5 7 8 10 | 7b13b9 = 7-tone Spanish phrygian = Spanish Gypsy = phrygian major = phrygian dominant = Freygish scale = Mixolydian b9 b13 chord scale = Hijaz-Nahawand or Hijaz = Ahava Rabbah = Dastgah-e Homayoun (Iran) = raga Hijaz Bhairav (Basant Mukhari) = raga Vakulabharanam (mode 5) 8: 0 3 4 6 7 9 11 | M13#9#11 = Hungarian major II = mustar = periaiotikos = mela 71 Kosalamu (mode 6) 11: 0 1 3 4 6 8 9 | Alt-Dechromaticised but Keep 0 3 4 7 0 2 3 5 7 8 11 (mode 0) 0: 0 2 3 5 7 8 11 | harmonic minor = mMb13 = mela 21 Keeravani (mode 1) 2: 0 1 3 5 6 9 10 | m13b5b9 = oriental (mode 2) 3: 0 2 4 5 8 9 11 | M13#5 (mode 3) 5: 0 2 3 6 7 9 10 | m13#11 = Misheberak scale = Ukrainian Dorian scale = souzinak = Romanian Minor scale = mela 58 Hemavati (mode 4) 7: 0 1 4 5 7 8 10 | 7b13b9 = 7-tone Spanish phrygian = Spanish Gypsy = phrygian major = phrygian dominant = Freygish scale = Mixolydian b9 b13 chord scale = Hijaz-Nahawand or Hijaz = Ahava Rabbah = Dastgah-e Homayoun (Iran) = raga Hijaz Bhairav (Basant Mukhari) = raga Vakulabharanam (mode 5) 8: 0 3 4 6 7 9 11 | M13#9#11 = Hungarian major II = mustar = periaiotikos = mela 71 Kosalamu (mode 6) 11: 0 1 3 4 6 8 9 | Chromaticizations chromaticized: N/A chromaticized keep 0: (mode 0) 0: 0 2 3 5 6 7 8 11 | Algerian scale (both octaves) (mode 1) 2: 0 1 3 4 5 6 9 10 | (mode 2) 3: 0 2 3 4 5 8 9 11 | (mode 3) 5: 0 1 2 3 6 7 9 10 | (mode 4) 6: 0 1 2 5 6 8 9 11 | (mode 5) 7: 0 1 4 5 7 8 10 11 | mela 14 Vakulabharanam (mode 6) 8: 0 3 4 6 7 9 10 11 | (mode 7) 11: 0 1 3 4 6 7 8 9 | chromaticized keep 0 7: (mode 0) 0: 0 2 3 5 6 7 8 11 | Algerian scale (both octaves) (mode 1) 2: 0 1 3 4 5 6 9 10 | (mode 2) 3: 0 2 3 4 5 8 9 11 | (mode 3) 5: 0 1 2 3 6 7 9 10 | (mode 4) 6: 0 1 2 5 6 8 9 11 | (mode 5) 7: 0 1 4 5 7 8 10 11 | mela 14 Vakulabharanam (mode 6) 8: 0 3 4 6 7 9 10 11 | (mode 7) 11: 0 1 3 4 6 7 8 9 | (mode 0) 0: 0 2 3 4 5 7 8 11 | (mode 1) 2: 0 1 2 3 5 6 9 10 | (mode 2) 3: 0 1 2 4 5 8 9 11 | (mode 3) 4: 0 1 3 4 7 8 10 11 | (mode 4) 5: 0 2 3 6 7 9 10 11 | Romanian Minor scale = Ukranian Dorian scale (mode 5) 7: 0 1 4 5 7 8 9 10 | mela 13 Gayakapriya = 014589 & dom.7 (mode 6) 8: 0 3 4 6 7 8 9 11 | (mode 7) 11: 0 1 3 4 5 6 8 9 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 5 6 7 8 11 | Algerian scale (both octaves) (mode 1) 2: 0 1 3 4 5 6 9 10 | (mode 2) 3: 0 2 3 4 5 8 9 11 | (mode 3) 5: 0 1 2 3 6 7 9 10 | (mode 4) 6: 0 1 2 5 6 8 9 11 | (mode 5) 7: 0 1 4 5 7 8 10 11 | mela 14 Vakulabharanam (mode 6) 8: 0 3 4 6 7 9 10 11 | (mode 7) 11: 0 1 3 4 6 7 8 9 | (mode 0) 0: 0 2 3 4 5 7 8 11 | (mode 1) 2: 0 1 2 3 5 6 9 10 | (mode 2) 3: 0 1 2 4 5 8 9 11 | (mode 3) 4: 0 1 3 4 7 8 10 11 | (mode 4) 5: 0 2 3 6 7 9 10 11 | Romanian Minor scale = Ukranian Dorian scale (mode 5) 7: 0 1 4 5 7 8 9 10 | mela 13 Gayakapriya = 014589 & dom.7 (mode 6) 8: 0 3 4 6 7 8 9 11 | (mode 7) 11: 0 1 3 4 5 6 8 9 | (mode 0) 0: 0 2 3 5 7 8 9 10 11 | dorian & harmonic minor = aeolean & melodic minor (mode 1) 2: 0 1 3 5 6 7 8 9 10 | (mode 2) 3: 0 2 4 5 6 7 8 9 11 | (mode 3) 5: 0 2 3 4 5 6 7 9 10 | (mode 4) 7: 0 1 2 3 4 5 7 8 10 | (mode 5) 8: 0 1 2 3 4 6 7 9 11 | (mode 6) 9: 0 1 2 3 5 6 8 10 11 | (mode 7) 10: 0 1 2 4 5 7 9 10 11 | (mode 8) 11: 0 1 3 4 6 8 9 10 11 | (mode 0) 0: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 1) 2: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 2) 3: 0 1 2 4 5 6 7 8 9 11 | (mode 3) 4: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 4) 5: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 5) 7: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 6) 8: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 7) 9: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 8) 10: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 9) 11: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: N/A alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 2 3 5 7 8 11 = 0: 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 = 3: 0 2 4 5 8 9 11 = 5: 0 2 3 6 7 9 10 = 7: 0 1 4 5 7 8 10 = 8: 0 3 4 6 7 9 11 = 11: 0 1 3 4 6 8 9 1 2 2 0 1 3 5 6 9 10 = 0: 0 1 3 5 6 9 10 = 1: 0 2 4 5 8 9 11 = 3: 0 2 3 6 7 9 10 = 5: 0 1 4 5 7 8 10 = 6: 0 3 4 6 7 9 11 = 9: 0 1 3 4 6 8 9 = 10: 0 2 3 5 7 8 11 1 3 3 0 2 4 5 8 9 11 = 0: 0 2 4 5 8 9 11 = 2: 0 2 3 6 7 9 10 = 4: 0 1 4 5 7 8 10 = 5: 0 3 4 6 7 9 11 = 8: 0 1 3 4 6 8 9 = 9: 0 2 3 5 7 8 11 = 11: 0 1 3 5 6 9 10 1 5 5 0 2 3 6 7 9 10 = 0: 0 2 3 6 7 9 10 = 2: 0 1 4 5 7 8 10 = 3: 0 3 4 6 7 9 11 = 6: 0 1 3 4 6 8 9 = 7: 0 2 3 5 7 8 11 = 9: 0 1 3 5 6 9 10 = 10: 0 2 4 5 8 9 11 1 7 7 0 1 4 5 7 8 10 = 0: 0 1 4 5 7 8 10 = 1: 0 3 4 6 7 9 11 = 4: 0 1 3 4 6 8 9 = 5: 0 2 3 5 7 8 11 = 7: 0 1 3 5 6 9 10 = 8: 0 2 4 5 8 9 11 = 10: 0 2 3 6 7 9 10 1 8 8 0 3 4 6 7 9 11 = 0: 0 3 4 6 7 9 11 = 3: 0 1 3 4 6 8 9 = 4: 0 2 3 5 7 8 11 = 6: 0 1 3 5 6 9 10 = 7: 0 2 4 5 8 9 11 = 9: 0 2 3 6 7 9 10 = 11: 0 1 4 5 7 8 10 Bright Layer Composition order pcset 1 0 2 3 5 7 8 11 = 0: 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 = 3: 0 2 4 5 8 9 11 = 5: 0 2 3 6 7 9 10 = 7: 0 1 4 5 7 8 10 = 8: 0 3 4 6 7 9 11 = 11: 0 1 3 4 6 8 9 2 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 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 5 7 8 11 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 3 = 3 = 3: 0 5 = 5 = 5: 0 7 = 7 = 7: 0 8 = 8 = 8: 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 5 = 3 5 = 3: 0 2 5: 0 10 5 7 = 5 7 = 5: 0 2 7: 0 10 7 8 = 7 8 = 7: 0 1 8: 0 11 8 11 = 8 11 = 8: 0 3 11: 0 9 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 5 = 2 5 = 2: 0 3 5: 0 9 3 7 = 3 7 = 3: 0 4 7: 0 8 5 8 = 5 8 = 5: 0 3 8: 0 9 7 11 = 7 11 = 7: 0 4 11: 0 8 8 0 = 0 8 = 8: 0 4 0: 0 8 11 2 = 2 11 = 11: 0 3 2: 0 9 subchroma modal system: 0 3 0 5 = 0 5 = 0: 0 5 5: 0 7 2 7 = 2 7 = 2: 0 5 7: 0 7 3 8 = 3 8 = 3: 0 5 8: 0 7 5 11 = 5 11 = 5 11: 0 6 7 0 = 0 7 = 7: 0 5 0: 0 7 8 2 = 2 8 = 2 8: 0 6 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 5 = 2 3 5 = 2: 0 1 3 3: 0 2 11 3 5 7 = 3 5 7 = 3: 0 2 4 5 7 8 = 5 7 8 = 5: 0 2 3 7 8 11 = 7 8 11 = 7: 0 1 4 8: 0 3 11 8 11 0 = 0 8 11 = 8: 0 3 4 11 0 2 = 0 2 11 = 11: 0 1 3 0: 0 2 11 subchroma modal system: 0 1 3 0 2 5 = 0 2 5 = 2: 0 3 10 5: 0 7 9 2 3 7 = 2 3 7 = 3: 0 4 11 7: 0 7 8 3 5 8 = 3 5 8 = 5: 0 3 10 8: 0 7 9 5 7 11 = 5 7 11 = 7: 0 4 10 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 11 2 = 2 8 11 = 8: 0 3 6 11: 0 3 9 11 0 3 = 0 3 11 = 11: 0 1 4 0: 0 3 11 subchroma modal system: 0 1 4 0 2 7 = 0 2 7 = 0: 0 2 7 7: 0 5 7 2: 0 5 10 2 3 8 = 2 3 8 = 8: 0 6 7 3 5 11 = 3 5 11 = 11: 0 4 6 5 7 0 = 0 5 7 = 5: 0 2 7 0: 0 5 7 7: 0 5 10 7 8 2 = 2 7 8 = 7: 0 1 7 8 11 3 = 3 8 11 = 8: 0 3 7 11: 0 4 9 11 0 5 = 0 5 11 = 5: 0 6 7 subchroma modal system: 0 1 5 0 2 8 = 0 2 8 = 8: 0 4 6 2 3 11 = 2 3 11 = 11: 0 3 4 3 5 0 = 0 3 5 = 0: 0 3 5 5: 0 7 10 5 7 2 = 2 5 7 = 2: 0 3 5 7: 0 7 10 7 8 3 = 3 7 8 = 3: 0 4 5 8: 0 7 11 8 11 5 = 5 8 11 = 5: 0 3 6 8: 0 3 9 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 2 4 0 3 7 = 0 3 7 = 0: 0 3 7 3: 0 4 9 2 5 8 = 2 5 8 = 2: 0 3 6 5: 0 3 9 3 7 11 = 3 7 11 = 3 7 11: 0 4 8 5 8 0 = 0 5 8 = 5: 0 3 7 8: 0 4 9 7 11 2 = 2 7 11 = 7: 0 4 7 8 0 3 = 0 3 8 = 8: 0 4 7 11 2 5 = 2 5 11 = 11: 0 3 6 2: 0 3 9 subchroma modal system: 0 1 2 3 0 2 3 5 = 0 2 3 5 = 0: 0 2 3 5 2: 0 1 3 10 3: 0 2 9 11 5: 0 7 9 10 2 3 5 7 = 2 3 5 7 = 2: 0 1 3 5 3: 0 2 4 11 5: 0 2 9 10 7: 0 7 8 10 3 5 7 8 = 3 5 7 8 = 3: 0 2 4 5 5: 0 2 3 10 8: 0 7 9 11 5 7 8 11 = 5 7 8 11 = 5: 0 2 3 6 7: 0 1 4 10 8: 0 3 9 11 7 8 11 0 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 8 11 0 2 = 0 2 8 11 = 8: 0 3 4 6 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 7 = 0 2 3 7 = 0: 0 2 3 7 3: 0 4 9 11 7: 0 5 7 8 2 3 5 8 = 2 3 5 8 = 2: 0 1 3 6 5: 0 3 9 10 8: 0 6 7 9 3 5 7 11 = 3 5 7 11 = 7: 0 4 8 10 5 7 8 0 = 0 5 7 8 = 5: 0 2 3 7 8: 0 4 9 11 0: 0 5 7 8 7 8 11 2 = 2 7 8 11 = 7: 0 1 4 7 8: 0 3 6 11 8 11 0 3 = 0 3 8 11 = 8: 0 3 4 7 11: 0 1 4 9 11 0 2 5 = 0 2 5 11 = 11: 0 1 3 6 2: 0 3 9 10 5: 0 6 7 9 subchroma modal system: 0 1 2 5 0 2 3 8 = 0 2 3 8 = 8: 0 4 6 7 2 3 5 11 = 2 3 5 11 = 11: 0 3 4 6 3 5 7 0 = 0 3 5 7 = 3: 0 2 4 9 5: 0 2 7 10 0: 0 3 5 7 5 7 8 2 = 2 5 7 8 = 7: 0 1 7 10 2: 0 3 5 6 7 8 11 3 = 3 7 8 11 = 8: 0 3 7 11 8 11 0 5 = 0 5 8 11 = 8: 0 3 4 9 5: 0 3 6 7 11 0 2 7 = 0 2 7 11 = 0: 0 2 7 11 7: 0 4 5 7 subchroma modal system: 0 1 3 4 0 2 5 7 = 0 2 5 7 = 0: 0 2 5 7 5: 0 2 7 9 2: 0 3 5 10 7: 0 5 7 10 2 3 7 8 = 2 3 7 8 = 7: 0 1 7 8 3: 0 4 5 11 8: 0 6 7 11 3 5 8 11 = 3 5 8 11 = 8: 0 3 7 9 5: 0 3 6 10 5 7 11 0 = 0 5 7 11 = 5: 0 2 6 7 7: 0 4 5 10 0: 0 5 7 11 7 8 0 2 = 0 2 7 8 = 7: 0 1 5 7 0: 0 2 7 8 8: 0 4 6 11 8 11 2 3 = 2 3 8 11 = 11: 0 3 4 9 8: 0 3 6 7 11 0 3 5 = 0 3 5 11 = 0: 0 3 5 11 5: 0 6 7 10 subchroma modal system: 0 1 3 5 0 2 5 8 = 0 2 5 8 = 5: 0 3 7 9 2: 0 3 6 10 2 3 7 11 = 2 3 7 11 = 11: 0 3 4 8 7: 0 4 7 8 3: 0 4 8 11 3 5 8 0 = 0 3 5 8 = 8: 0 4 7 9 5: 0 3 7 10 5 7 11 2 = 2 5 7 11 = 7: 0 4 7 10 7 8 0 3 = 0 3 7 8 = 0: 0 3 7 8 8: 0 4 7 11 8 11 2 5 = 2 5 8 11 = 2 5 8 11: 0 3 6 9 11 0 3 7 = 0 3 7 11 = 0: 0 3 7 11 subchroma modal system: 0 1 2 3 4 0 2 3 5 7 = 0 2 3 5 7 = 0: 0 2 3 5 7 3: 0 2 4 9 11 5: 0 2 7 9 10 7: 0 5 7 8 10 2 3 5 7 8 = 2 3 5 7 8 = 2: 0 1 3 5 6 5: 0 2 3 9 10 7: 0 1 7 8 10 8: 0 6 7 9 11 3 5 7 8 11 = 3 5 7 8 11 = 7: 0 1 4 8 10 5: 0 2 3 6 10 8: 0 3 7 9 11 5 7 8 11 0 = 0 5 7 8 11 = 5: 0 2 3 6 7 7: 0 1 4 5 10 8: 0 3 4 9 11 0: 0 5 7 8 11 7 8 11 0 2 = 0 2 7 8 11 = 7: 0 1 4 5 7 8: 0 3 4 6 11 0: 0 2 7 8 11 8 11 0 2 3 = 0 2 3 8 11 = 11: 0 1 3 4 9 8: 0 3 4 6 7 11 0 2 3 5 = 0 2 3 5 11 = 11: 0 1 3 4 6 2: 0 1 3 9 10 5: 0 6 7 9 10 subchroma modal system: 0 1 2 3 5 0 2 3 5 8 = 0 2 3 5 8 = 2: 0 1 3 6 10 8: 0 4 6 7 9 5: 0 3 7 9 10 2 3 5 7 11 = 2 3 5 7 11 = 3: 0 2 4 8 11 7: 0 4 7 8 10 3 5 7 8 0 = 0 3 5 7 8 = 5: 0 2 3 7 10 0: 0 3 5 7 8 8: 0 4 7 9 11 5 7 8 11 2 = 2 5 7 8 11 = 7: 0 1 4 7 10 7 8 11 0 3 = 0 3 7 8 11 = 8: 0 3 4 7 11 0: 0 3 7 8 11 8 11 0 2 5 = 0 2 5 8 11 = 11: 0 1 3 6 9 8: 0 3 4 6 9 5: 0 3 6 7 9 11 0 2 3 7 = 0 2 3 7 11 = 11: 0 1 3 4 8 0: 0 2 3 7 11 7: 0 4 5 7 8 subchroma modal system: 0 1 2 4 5 0 2 3 7 8 = 0 2 3 7 8 = 0: 0 2 3 7 8 7: 0 1 5 7 8 8: 0 4 6 7 11 2 3 5 8 11 = 2 3 5 8 11 = 2: 0 1 3 6 9 11: 0 3 4 6 9 8: 0 3 6 7 9 3 5 7 11 0 = 0 3 5 7 11 = 5: 0 2 6 7 10 0: 0 3 5 7 11 5 7 8 0 2 = 0 2 5 7 8 = 5: 0 2 3 7 9 0: 0 2 5 7 8 7: 0 1 5 7 10 2: 0 3 5 6 10 7 8 11 2 3 = 2 3 7 8 11 = 7: 0 1 4 7 8 8: 0 3 6 7 11 8 11 0 3 5 = 0 3 5 8 11 = 8: 0 3 4 7 9 5: 0 3 6 7 10 11 0 2 5 7 = 0 2 5 7 11 = 5: 0 2 6 7 9 0: 0 2 5 7 11 7: 0 4 5 7 10 subchroma modal system: 0 1 2 3 4 5 0 2 3 5 7 8 = 0 2 3 5 7 8 = 0: 0 2 3 5 7 8 5: 0 2 3 7 9 10 7: 0 1 5 7 8 10 8: 0 4 6 7 9 11 2 3 5 7 8 11 = 2 3 5 7 8 11 = 7: 0 1 4 7 8 10 8: 0 3 6 7 9 11 3 5 7 8 11 0 = 0 3 5 7 8 11 = 5: 0 2 3 6 7 10 8: 0 3 4 7 9 11 0: 0 3 5 7 8 11 5 7 8 11 0 2 = 0 2 5 7 8 11 = 5: 0 2 3 6 7 9 7: 0 1 4 5 7 10 0: 0 2 5 7 8 11 7 8 11 0 2 3 = 0 2 3 7 8 11 = 7: 0 1 4 5 7 8 8: 0 3 4 6 7 11 0: 0 2 3 7 8 11 8 11 0 2 3 5 = 0 2 3 5 8 11 = 8: 0 3 4 6 7 9 5: 0 3 6 7 9 10 11 0 2 3 5 7 = 0 2 3 5 7 11 = 0: 0 2 3 5 7 11 3: 0 2 4 8 9 11 5: 0 2 6 7 9 10 7: 0 4 5 7 8 10 subchroma modal system: 0 1 2 3 4 5 6 0 2 3 5 7 8 11 = 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 7: 0 1 4 5 7 8 10 0: 0 2 3 5 7 8 11 5: 0 2 3 6 7 9 10 3: 0 2 4 5 8 9 11 8: 0 3 4 6 7 9 11 2 3 5 7 8 11 0 = 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 7: 0 1 4 5 7 8 10 0: 0 2 3 5 7 8 11 5: 0 2 3 6 7 9 10 3: 0 2 4 5 8 9 11 8: 0 3 4 6 7 9 11 3 5 7 8 11 0 2 = 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 7: 0 1 4 5 7 8 10 0: 0 2 3 5 7 8 11 5: 0 2 3 6 7 9 10 3: 0 2 4 5 8 9 11 8: 0 3 4 6 7 9 11 5 7 8 11 0 2 3 = 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 7: 0 1 4 5 7 8 10 0: 0 2 3 5 7 8 11 5: 0 2 3 6 7 9 10 3: 0 2 4 5 8 9 11 8: 0 3 4 6 7 9 11 7 8 11 0 2 3 5 = 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 7: 0 1 4 5 7 8 10 0: 0 2 3 5 7 8 11 5: 0 2 3 6 7 9 10 3: 0 2 4 5 8 9 11 8: 0 3 4 6 7 9 11 8 11 0 2 3 5 7 = 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 7: 0 1 4 5 7 8 10 0: 0 2 3 5 7 8 11 5: 0 2 3 6 7 9 10 3: 0 2 4 5 8 9 11 8: 0 3 4 6 7 9 11 11 0 2 3 5 7 8 = 0 2 3 5 7 8 11 = 2: 0 1 3 5 6 9 10 7: 0 1 4 5 7 8 10 0: 0 2 3 5 7 8 11 5: 0 2 3 6 7 9 10 3: 0 2 4 5 8 9 11 8: 0 3 4 6 7 9 11 Subset Chord Types by Root Set 0 :0 2 3 5 0 :0 2 3 11 0 :0 2 5 7 0 :0 2 7 8 0 :0 2 7 11 0 :0 3 5 7 0 :0 3 5 11 0 :0 3 7 8 0 :0 5 7 11 0 :0 7 8 11 0 :0 2 3 5 7 0 :0 2 3 7 8 0 :0 2 3 7 11 0 :0 2 5 7 8 0 :0 2 5 7 11 0 :0 2 7 8 11 0 :0 3 5 7 8 0 :0 3 5 7 11 0 :0 3 7 8 11 0 :0 5 7 8 11 0 :0 2 3 5 7 8 0 :0 2 3 5 7 11 0 :0 2 3 7 8 11 0 :0 2 5 7 8 11 0 :0 3 5 7 8 11 0 :0 2 3 5 7 8 11 0 2 :0 3 5 0 2 3 5 7 8 11:0 0 2 3 7 :0 5 0 2 5 8 11 :0 3 0 3 :0 2 11 0 3 5 :0 2 0 3 7 11 :0 8 0 3 8 :0 11 0 5 :0 2 3 0 5 :0 2 7 0 5 :0 2 3 7 0 5 7 8 :0 7 0 5 8 :0 3 7 0 7 :0 5 7 0 7 :0 7 8 0 7 :0 5 7 8 0 8 :0 3 11 0 8 :0 7 11 0 8 :0 3 7 11 2 :0 1 3 5 2 :0 1 3 10 2 :0 3 5 6 2 :0 3 5 10 2 :0 1 3 5 6 2 :0 1 3 6 10 2 :0 1 3 9 10 2 :0 3 5 6 10 2 :0 1 3 5 6 9 10 2 3 5 8 11 :0 9 2 5 :0 3 10 2 5 :0 3 6 10 2 5 :0 3 9 10 2 5 7 :0 10 2 5 8 11 :0 6 2 5 8 11 :0 3 6 2 5 8 11 :0 3 9 2 5 8 11 :0 3 6 9 2 7 :0 5 10 2 7 11 :0 1 2 11 :0 1 3 2 11 :0 1 3 6 2 11 :0 1 3 6 9 3 :0 2 4 3 :0 2 4 5 3 :0 2 4 9 3 :0 2 4 11 3 :0 2 9 11 3 :0 4 5 11 3 :0 4 8 11 3 :0 2 4 8 11 3 :0 2 4 9 11 3 :0 2 4 8 9 11 3 :0 2 4 5 8 9 11 3 7 :0 4 5 3 7 8 11 :0 4 3 7 11 :0 4 8 3 8 :0 4 11 3 8 :0 4 9 11 3 8 11 :0 4 9 5 :0 2 3 6 5 :0 2 3 10 5 :0 2 6 7 5 :0 2 7 9 5 :0 2 7 10 5 :0 2 9 10 5 :0 3 7 10 5 :0 6 7 10 5 :0 7 9 10 5 :0 2 3 6 7 5 :0 2 3 7 9 5 :0 2 3 6 10 5 :0 2 3 7 10 5 :0 2 3 9 10 5 :0 2 6 7 9 5 :0 2 6 7 10 5 :0 2 7 9 10 5 :0 3 6 7 10 5 :0 3 7 9 10 5 :0 6 7 9 10 5 :0 2 3 6 7 9 5 :0 2 3 6 7 10 5 :0 2 3 7 9 10 5 :0 2 6 7 9 10 5 :0 3 6 7 9 10 5 :0 2 3 6 7 9 10 5 7 :0 7 10 5 8 :0 6 7 5 8 :0 7 9 5 8 :0 3 6 7 5 8 :0 3 7 9 5 8 :0 6 7 9 5 8 :0 3 6 7 9 7 :0 1 7 7 :0 4 10 7 :0 1 4 5 7 :0 1 4 7 7 :0 1 4 10 7 :0 1 5 7 7 :0 1 7 8 7 :0 1 7 10 7 :0 4 5 7 7 :0 4 5 10 7 :0 4 7 8 7 :0 4 7 10 7 :0 4 8 10 7 :0 5 7 10 7 :0 7 8 10 7 :0 1 4 5 7 7 :0 1 4 5 10 7 :0 1 4 7 8 7 :0 1 4 7 10 7 :0 1 4 8 10 7 :0 1 5 7 8 7 :0 1 5 7 10 7 :0 1 7 8 10 7 :0 4 5 7 8 7 :0 4 5 7 10 7 :0 4 7 8 10 7 :0 5 7 8 10 7 :0 1 4 5 7 8 7 :0 1 4 5 7 10 7 :0 1 4 7 8 10 7 :0 1 5 7 8 10 7 :0 4 5 7 8 10 7 :0 1 4 5 7 8 10 7 8 :0 4 7 7 11 :0 1 4 8 :0 3 4 7 8 :0 3 4 11 8 :0 4 6 7 8 :0 4 7 9 8 :0 3 6 11 8 :0 4 6 11 8 :0 4 7 11 8 :0 3 9 11 8 :0 6 7 11 8 :0 7 9 11 8 :0 3 4 6 7 8 :0 3 4 7 9 8 :0 3 4 6 11 8 :0 3 4 7 11 8 :0 3 4 9 11 8 :0 4 6 7 9 8 :0 3 6 7 11 8 :0 4 6 7 11 8 :0 3 7 9 11 8 :0 4 7 9 11 8 :0 6 7 9 11 8 :0 3 4 6 7 9 8 :0 3 4 6 7 11 8 :0 3 4 7 9 11 8 :0 3 6 7 9 11 8 :0 4 6 7 9 11 8 :0 3 4 6 7 9 11 8 11 :0 3 4 8 11 :0 4 6 8 11 :0 3 4 6 8 11 :0 3 4 9 8 11 :0 3 4 6 9 11 :0 1 3 4 11 :0 3 4 8 11 :0 1 4 9 11 :0 1 3 4 6 11 :0 1 3 4 8 11 :0 1 3 4 9 Superset Chord Types by Root Set 0 :0 2 3 5 7 8 11 0 :0 1 2 3 5 7 8 11 0 :0 2 3 4 5 7 8 11 0 :0 2 3 5 6 7 8 11 0 :0 2 3 5 7 8 9 11 0 :0 2 3 5 7 8 10 11 0 :0 1 2 3 4 5 7 8 11 0 :0 1 2 3 5 6 7 8 11 0 :0 2 3 4 5 6 7 8 11 0 :0 1 2 3 5 7 8 9 11 0 :0 1 2 3 5 7 8 10 11 0 :0 2 3 4 5 7 8 10 11 0 :0 2 3 5 6 7 8 9 11 0 :0 2 3 5 7 8 9 10 11 0 :0 1 2 3 4 5 6 7 8 11 0 :0 1 2 3 5 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 4 7 9 :0 1 2 3 4 5 6 7 8 10 11 0 2 5 6 9 :0 1 2 3 5 6 7 8 9 10 11 0 3 :0 2 3 4 5 7 8 9 11 0 3 :0 1 2 3 4 5 7 8 9 11 0 3 :0 2 3 4 5 7 8 9 10 11 0 3 4 7 10 :0 1 2 3 4 5 7 8 9 10 11 0 3 5 8 9 :0 2 3 4 5 6 7 8 9 10 11 0 3 6 8 11 :0 1 2 3 4 5 6 7 8 9 11 0 3 8 :0 2 3 4 5 6 7 8 9 11 0 4 7 :0 1 2 3 4 5 7 8 10 11 0 5 9 :0 2 3 5 6 7 8 9 10 11 0 6 :0 1 2 3 5 6 7 8 9 11 0 9 :0 2 3 5 6 7 8 10 11 0 9 :0 1 2 3 5 6 7 8 10 11 0 9 :0 2 3 4 5 6 7 8 10 11 1 :0 1 2 4 6 7 10 11 1 :0 1 2 3 4 6 7 10 11 1 :0 1 2 4 5 6 7 10 11 1 :0 1 2 4 6 7 8 10 11 1 :0 1 2 4 6 7 9 10 11 1 :0 1 2 3 4 5 6 7 10 11 1 :0 1 2 4 6 7 8 9 10 11 1 2 5 8 10 :0 1 2 3 4 5 6 7 9 10 11 1 3 6 7 10 :0 1 2 4 5 6 7 8 9 10 11 1 4 :0 1 2 3 4 6 7 8 10 11 1 4 5 8 11 :0 1 2 3 4 6 7 8 9 10 11 1 5 8 :0 1 2 3 4 6 7 9 10 11 1 7 :0 1 2 4 5 6 7 8 10 11 1 10 :0 1 2 4 5 6 7 9 10 11 2 :0 1 3 5 6 9 10 2 :0 1 3 4 5 6 9 10 2 :0 1 3 5 6 7 9 10 2 :0 1 3 5 6 9 10 11 2 :0 1 2 3 4 5 6 9 10 2 :0 1 3 4 5 6 7 9 10 2 :0 1 3 5 6 7 8 9 10 2 :0 1 3 5 6 7 9 10 11 2 :0 1 2 3 4 5 6 9 10 11 2 :0 1 3 5 6 7 8 9 10 11 2 3 6 9 11 :0 1 2 3 4 5 6 8 9 10 11 2 4 7 8 11 :0 1 3 4 5 6 7 8 9 10 11 2 5 :0 1 2 3 5 6 7 9 10 2 5 :0 1 2 3 5 6 7 8 9 10 2 5 :0 1 2 3 5 6 7 9 10 11 2 5 7 10 11 :0 1 2 3 4 5 6 7 8 9 10 2 5 10 :0 1 2 3 4 5 6 7 9 10 2 6 9 :0 1 2 3 5 6 8 9 10 11 2 7 11 :0 1 3 4 5 6 7 8 9 10 2 8 :0 1 3 4 5 6 7 9 10 11 2 11 :0 1 2 3 4 5 6 8 9 10 2 11 :0 1 3 4 5 6 8 9 10 11 3 :0 2 4 5 8 9 11 3 :0 2 4 5 7 8 9 11 3 :0 1 2 4 5 7 8 9 11 3 :0 2 4 5 6 7 8 9 11 3 :0 2 4 5 7 8 9 10 11 3 :0 1 2 3 4 5 8 9 10 11 3 :0 2 4 5 6 7 8 9 10 11 3 6 :0 1 2 4 5 6 7 8 9 11 3 6 :0 1 2 4 5 6 8 9 10 11 3 6 11 :0 1 2 3 4 5 6 8 9 11 3 7 10 :0 1 2 4 5 7 8 9 10 11 3 9 :0 2 3 4 5 6 8 9 10 11 4 :0 1 3 4 7 8 10 11 4 :0 1 2 3 4 7 8 10 11 4 :0 1 3 4 6 7 8 10 11 4 :0 1 3 4 7 8 9 10 11 4 :0 1 2 3 4 7 8 9 10 11 4 7 :0 1 3 4 5 7 8 10 11 4 7 :0 1 3 4 5 6 7 8 10 11 4 7 :0 1 3 4 5 7 8 9 10 11 4 8 11

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

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

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

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

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

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

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