# Chord Type: 0 1 3 5 6 8 10

## 0 1 3 5 6 8 10 = locrian = mb13b5b9 = 7-note 4ths stack

### 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
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## Chord Type Fun Facts

0 1 3 5 6 8 10
• Subset of Locrian Mode (0 1 3 5 6 8 10)
• Diamorphic

## Modal System Fun Facts

0 1 3 5 6 8 10
• Subset of Diatonic Modal System
• Inversionally Symmetrical
• Subset of Dorian Blues Scale
• Harmonic adjacency = 1 (maximum).
• Melodic adjacency = 0 (minimum).

## General Statistics

Cardinality:                     7
Jordan Number:                   7-62
Forte Number:                    7-35
Forte Prime Form:                [0,1,3,5,6,8,10]
Zeitler Scale Name:              Locrian
Ian Ring's Scale Page 1387

Root Reference:                  0 1 3 5 6 8 10
Tone Stacking:                   0 1 2 2 1 2 2
Interval Stacking:               1 2 2 1 2 2 2
Binary:                          1 1 0 1 0 1 1 0 1 0 1 0
Decimal Value:                   1387

Interval Vector:                 2 5 4 3 6 1
Inversional Symmetry:            yes (axes of symmetry: 3 9)
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.000
Harmonic Adjacency (0-1):        1.000
Modal-system-invariant under multiplication by: 1 11
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 1 3 5 6  8 10 |locrian = mb13b5b9 = 7-note 4ths stack
+1= 1 2 4 6 7  9 11 |
+2= 0 2 3 5 7  8 10 |aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that
+3= 1 3 4 6 8  9 11 |
+4= 0 2 4 5 7  9 10 |mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that
+5= 1 3 5 6 8 10 11 |
+6= 0 2 4 6 7  9 11 |lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that
+7= 0 1 3 5 7  8 10 |phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that
+8= 1 2 4 6 8  9 11 |
+9= 0 2 3 5 7  9 10 |dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation)
+10= 1 3 4 6 8 10 11 |
+11= 0 2 4 5 7  9 11 |major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that
Modes of Chord Type:
• (mode 0) 0:  0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack
(mode 1) 1:  0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that
(mode 2) 3:  0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation)
(mode 3) 5:  0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that
(mode 4) 6:  0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that
(mode 5) 8:  0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that
(mode 6) 10: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that
Modes of Chord Type Sorted by Rootedness:
•   1.525(mode 4)6:0 2 4 6 7 9 11 |lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that
1.275(mode 1)1:0 2 4 5 7 9 11 |major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that
1.267(mode 5)8:0 2 4 5 7 9 10 |mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that
1.000(mode 2)3:0 2 3 5 7 9 10 |dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation)
.667(mode 6)10:0 2 3 5 7 8 10 |aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that
.658(mode 3)5:0 1 3 5 7 8 10 |phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that
-.092(mode 0)0:0 1 3 5 6 8 10 |locrian = mb13b5b9 = 7-note 4ths stack
Inversion at 0:               0 2 4 6 7 9 11
• (mode 0) 0:  0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that
(mode 1) 2:  0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that
(mode 2) 4:  0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that
(mode 3) 6:  0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack
(mode 4) 7:  0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that
(mode 5) 9:  0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation)
(mode 6) 11: 0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that
Times 7:                      0 6 7 8 9 10 11
• (mode 0) 0:  0 6 7 8 9 10 11 |
(mode 1) 6:  0 1 2 3 4  5  6 | 1st 7 notes of chromatic scale
(mode 2) 7:  0 1 2 3 4  5 11 |
(mode 3) 8:  0 1 2 3 4 10 11 |
(mode 4) 9:  0 1 2 3 9 10 11 |
(mode 5) 10: 0 1 2 8 9 10 11 |
(mode 6) 11: 0 1 7 8 9 10 11 |
Times 5:                      0 1 2 3 4 5 6
• (mode 0) 0: 0 1 2 3 4  5  6 | 1st 7 notes of chromatic scale
(mode 1) 1: 0 1 2 3 4  5 11 |
(mode 2) 2: 0 1 2 3 4 10 11 |
(mode 3) 3: 0 1 2 3 9 10 11 |
(mode 4) 4: 0 1 2 8 9 10 11 |
(mode 5) 5: 0 1 7 8 9 10 11 |
(mode 6) 6: 0 6 7 8 9 10 11 |

Modal System:                     0 1 3 5 6 8 10 from root(s) 0 | "open septachord modal system"
Modes of Modal System:
• (mode 0) 0:  0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack
(mode 1) 1:  0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that
(mode 2) 3:  0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation)
(mode 3) 5:  0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that
(mode 4) 6:  0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that
(mode 5) 8:  0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that
(mode 6) 10: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that

Complement:                    2 4 7 9 11
• (mode 0) 2:  0 2 5 7  9 | yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major
(mode 1) 4:  0 3 5 7 10 | minor pentatonic = m11 no 9th = minyo = batti minor = Thai mode 4 (MSOTW)
(mode 2) 7:  0 2 4 7  9 | major pentatonic = 5-note 5ths stack = ryo pentatonic = tizita major
(mode 3) 9:  0 2 5 7 10 | 11 no 3rd = yosenpo (yo) ascending = yematebela wofe = Thai mode 3 (MSOTW) = slendro (MSOFW)
(mode 4) 11: 0 3 5 8 10 |
All but the root (subchroma complement of 0): 1 3 5 6 8 10
• (mode 0) 1:  0 2 4 5 7  9 | type C all-combinatorial hexachord prime form
(mode 1) 3:  0 2 3 5 7 10 | m11
(mode 2) 5:  0 1 3 5 8 10 |
(mode 3) 6:  0 2 4 7 9 11 | M13 no 11th = Guidonian hexachord = 6-note 5ths stack
(mode 4) 8:  0 2 5 7 9 10 |
(mode 5) 10: 0 3 5 7 8 10 | m7b13 no 9th

## 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: 0 6
• (mode 0) 0: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th
(mode 1) 6: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th
• Alt-Dechromaticised but Keep 0       0 6 (unchanged)
• (mode 0) 0: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th
(mode 1) 6: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th
• Alt-Dechromaticised but Keep 0 7     N/A
• Alt-Dechromaticised but Keep 0 3 4 7     0 3 6
• (mode 0) 0: 0 3 6 | dim. = diminished triad = diminished chord
(mode 1) 3: 0 3 9 | m6 no 5th
(mode 2) 6: 0 6 9 |

## Bright Layer Decomposition

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

## Bright Layer Composition

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

## Subset Chord Types by Subchroma Modal System

• Subchroma Modal Systems of 0 1 3 5 6 8 10

subchroma modal system: 0
0 =  0 =  0:  0
1 =  1 =  1:  0
3 =  3 =  3:  0
5 =  5 =  5:  0
6 =  6 =  6:  0
8 =  8 =  8:  0
10 = 10 = 10:  0

subchroma modal system: 0 1
0  1 =  0  1 =  0:  0  1     1:  0 11
1  3 =  1  3 =  1:  0  2     3:  0 10
3  5 =  3  5 =  3:  0  2     5:  0 10
5  6 =  5  6 =  5:  0  1     6:  0 11
6  8 =  6  8 =  6:  0  2     8:  0 10
8 10 =  8 10 =  8:  0  2    10:  0 10
10  0 =  0 10 = 10:  0  2     0:  0 10

subchroma modal system: 0 2
0  3 =  0  3 =  0:  0  3     3:  0  9
1  5 =  1  5 =  1:  0  4     5:  0  8
3  6 =  3  6 =  3:  0  3     6:  0  9
5  8 =  5  8 =  5:  0  3     8:  0  9
6 10 =  6 10 =  6:  0  4    10:  0  8
8  0 =  0  8 =  8:  0  4     0:  0  8
10  1 =  1 10 = 10:  0  3     1:  0  9

subchroma modal system: 0 3
0  5 =  0  5 =  0:  0  5     5:  0  7
1  6 =  1  6 =  1:  0  5     6:  0  7
3  8 =  3  8 =  3:  0  5     8:  0  7
5 10 =  5 10 =  5:  0  5    10:  0  7
6  0 =  0  6 =  0  6:  0  6
8  1 =  1  8 =  8:  0  5     1:  0  7
10  3 =  3 10 = 10:  0  5     3:  0  7

subchroma modal system: 0 1 2
0  1  3 =  0  1  3 =  0:  0  1  3     1:  0  2 11
1  3  5 =  1  3  5 =  1:  0  2  4
3  5  6 =  3  5  6 =  3:  0  2  3
5  6  8 =  5  6  8 =  5:  0  1  3     6:  0  2 11
6  8 10 =  6  8 10 =  6:  0  2  4
8 10  0 =  0  8 10 =  8:  0  2  4
10  0  1 =  0  1 10 = 10:  0  2  3

subchroma modal system: 0 1 3
0  1  5 =  0  1  5 =  1:  0  4 11     5:  0  7  8
1  3  6 =  1  3  6 =  3:  0  3 10     6:  0  7  9
3  5  8 =  3  5  8 =  5:  0  3 10     8:  0  7  9
5  6 10 =  5  6 10 =  6:  0  4 11    10:  0  7  8
6  8  0 =  0  6  8 =  8:  0  4 10
8 10  1 =  1  8 10 = 10:  0  3 10     1:  0  7  9
10  0  3 =  0  3 10 =  0:  0  3 10     3:  0  7  9

subchroma modal system: 0 1 4
0  1  6 =  0  1  6 =  6:  0  6  7
1  3  8 =  1  3  8 =  1:  0  2  7     8:  0  5  7     3:  0  5 10
3  5 10 =  3  5 10 =  3:  0  2  7    10:  0  5  7     5:  0  5 10
5  6  0 =  0  5  6 =  5:  0  1  7
6  8  1 =  1  6  8 =  6:  0  2  7     1:  0  5  7     8:  0  5 10
8 10  3 =  3  8 10 =  8:  0  2  7     3:  0  5  7    10:  0  5 10
10  0  5 =  0  5 10 = 10:  0  2  7     5:  0  5  7     0:  0  5 10

subchroma modal system: 0 1 5
0  1  8 =  0  1  8 =  8:  0  4  5     1:  0  7 11
1  3 10 =  1  3 10 = 10:  0  3  5     3:  0  7 10
3  5  0 =  0  3  5 =  0:  0  3  5     5:  0  7 10
5  6  1 =  1  5  6 =  1:  0  4  5     6:  0  7 11
6  8  3 =  3  6  8 =  3:  0  3  5     8:  0  7 10
8 10  5 =  5  8 10 =  5:  0  3  5    10:  0  7 10
10  0  6 =  0  6 10 =  6:  0  4  6

subchroma modal system: 0 2 4
0  3  6 =  0  3  6 =  0:  0  3  6     3:  0  3  9
1  5  8 =  1  5  8 =  1:  0  4  7
3  6 10 =  3  6 10 =  3:  0  3  7     6:  0  4  9
5  8  0 =  0  5  8 =  5:  0  3  7     8:  0  4  9
6 10  1 =  1  6 10 =  6:  0  4  7
8  0  3 =  0  3  8 =  8:  0  4  7
10  1  5 =  1  5 10 = 10:  0  3  7     1:  0  4  9

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

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

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

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

subchroma modal system: 0 1 3 5
0  1  5  8 =  0  1  5  8 =  5:  0  3  7  8     1:  0  4  7 11
1  3  6 10 =  1  3  6 10 =  6:  0  4  7  9     3:  0  3  7 10
3  5  8  0 =  0  3  5  8 =  8:  0  4  7  9     5:  0  3  7 10
5  6 10  1 =  1  5  6 10 = 10:  0  3  7  8     6:  0  4  7 11
6  8  0  3 =  0  3  6  8 =  8:  0  4  7 10
8 10  1  5 =  1  5  8 10 =  1:  0  4  7  9    10:  0  3  7 10
10  0  3  6 =  0  3  6 10 =  3:  0  3  7  9     0:  0  3  6 10

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

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

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

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

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

## Subset Chord Types By Family

•  Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 3 5 6 8 10 = 0: 0 1 3 5 6 8 10 = 1: 0 2 4 5 7 9 11 = 3: 0 2 3 5 7 9 10 = 5: 0 1 3 5 7 8 10 = 6: 0 2 4 6 7 9 11 = 8: 0 2 4 5 7 9 10 = 10: 0 2 3 5 7 8 10 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 0 5 = 0: 0 5 = 5: 0 7 0 2 = maj. 2nd, dim., maj. 9th | 1 3 6 8 10 = 1: 0 2 5 7 9 = 3: 0 3 5 7 10 = 6: 0 2 4 7 9 = 8: 0 2 5 7 10 = 10: 0 3 5 8 10 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 0 4 = maj. 3rd, maj. 10th, dim. 4th | 1 6 8 = 1: 0 5 7 = 6: 0 2 7 = 8: 0 5 10 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 0 1 3 5 8 10 = 0: 0 1 3 5 8 10 = 1: 0 2 4 7 9 11 = 3: 0 2 5 7 9 10 = 5: 0 3 5 7 8 10 = 8: 0 2 4 5 7 9 = 10: 0 2 3 5 7 10 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 0 6 = 0: 0 6 = 6: 0 6 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 1 3 5 6 8 10 = 1: 0 2 4 5 7 9 = 3: 0 2 3 5 7 10 = 5: 0 1 3 5 8 10 = 6: 0 2 4 7 9 11 = 8: 0 2 5 7 9 10 = 10: 0 3 5 7 8 10 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 0 5 10 = 0: 0 5 10 = 5: 0 5 7 = 10: 0 2 7 0 9 = maj. 6th, maj. 13th, dim. 7th | 1 3 6 8 = 1: 0 2 5 7 = 3: 0 3 5 10 = 6: 0 2 7 9 = 8: 0 5 7 10 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 3 5 8 10 = 0: 0 3 5 8 10 = 3: 0 2 5 7 9 = 5: 0 3 5 7 10 = 8: 0 2 4 7 9 = 10: 0 2 5 7 10 0 11 = maj. 7th, maj. 14th | 1 6 = 1: 0 5 = 6: 0 7 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 0 5 = 0: 0 5 = 5: 0 7 0 2 3 = min. trichord | 3 10 = 3: 0 7 = 10: 0 5 0 2 4 = maj. trichord | 1 6 8 = 1: 0 5 7 = 6: 0 2 7 = 8: 0 5 10 Sus2 triads (Scale Degrees: 125) 0 1 7 | 5 = 5: 0 0 2 7 = sus2, 3 in 5ths | 1 3 6 8 10 = 1: 0 2 5 7 9 = 3: 0 3 5 7 10 = 6: 0 2 4 7 9 = 8: 0 2 5 7 10 = 10: 0 3 5 8 10 Root with upper and lower neighbors (Scale Degrees: 127) 0 2 11 | 1 6 = 1: 0 5 = 6: 0 7 Scale Degrees: 134 0 3 5 | 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 0 4 5 | 1 8 = 1: 0 7 = 8: 0 5 Triads (Scale Degrees: 135) 0 3 6 = dim. | 0 = 0: 0 0 3 7 = m = minor | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 0 4 6 = Mb5 | 6 = 6: 0 0 4 7 = M = major | 1 6 8 = 1: 0 5 7 = 6: 0 2 7 = 8: 0 5 10 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 3 = 3: 0 0 4 9 = M6 no 5th | 1 6 8 = 1: 0 5 7 = 6: 0 2 7 = 8: 0 5 10 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 0 4 10 = 7 no 5th | 8 = 8: 0 0 4 11 = M7 no 5th | 1 6 = 1: 0 5 = 6: 0 7 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 1 3 5 8 10 = 1: 0 2 4 7 9 = 3: 0 2 5 7 10 = 5: 0 3 5 8 10 = 8: 0 2 5 7 9 = 10: 0 3 5 7 10 0 6 7 = sus#4, Viennese trichord | 6 = 6: 0 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 0 3 5 8 10 = 0: 0 3 5 8 10 = 3: 0 2 5 7 9 = 5: 0 3 5 7 10 = 8: 0 2 4 7 9 = 10: 0 2 5 7 10 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 5 10 = 5: 0 5 = 10: 0 7 0 7 9 | 1 3 6 8 = 1: 0 2 5 7 = 3: 0 3 5 10 = 6: 0 2 7 9 = 8: 0 5 7 10 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 3 5 8 10 = 3: 0 2 5 7 = 5: 0 3 5 10 = 8: 0 2 7 9 = 10: 0 5 7 10 0 7 11 = M power chord | 1 6 = 1: 0 5 = 6: 0 7 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 0 5 = 0: 0 5 = 5: 0 7 0 2 3 5 = min. tetrachord | 3 10 = 3: 0 7 = 10: 0 5 0 2 4 5 = maj. tetrachord | 1 8 = 1: 0 7 = 8: 0 5 0 2 4 6 = whole tone tetrachord | 6 = 6: 0 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 0 = 0: 0 0 1 3 7 = m add b9, all-int | 5 = 5: 0 0 2 3 7 = m add9 | 3 10 = 3: 0 7 = 10: 0 5 0 2 4 7 = add9 , Mu chord | 1 6 8 = 1: 0 5 7 = 6: 0 2 7 = 8: 0 5 10 6/9 chord no 5th (Scale Degrees: 1236) 0 2 4 9 | 1 6 8 = 1: 0 5 7 = 6: 0 2 7 = 8: 0 5 10 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 0 5 = 0: 0 5 = 5: 0 7 0 2 3 10 = m9 no 5th | 3 10 = 3: 0 7 = 10: 0 5 0 2 4 10 = 9 no 5th | 8 = 8: 0 0 2 4 11 = M9 no 5th | 1 6 = 1: 0 5 = 6: 0 7 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 5 7 | 5 = 5: 0 0 2 5 7 | 1 3 8 10 = 1: 0 2 7 9 = 3: 0 5 7 10 = 8: 0 2 5 7 = 10: 0 3 5 10 0 2 6 7 | 6 = 6: 0 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 8 | 5 = 5: 0 0 2 7 8 | 10 = 10: 0 0 2 7 9 = 4 in 5ths | 1 3 6 8 = 1: 0 2 5 7 = 3: 0 3 5 10 = 6: 0 2 7 9 = 8: 0 5 7 10 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 5 = 5: 0 0 2 7 10 = 9 no 3rd, m9 no 3rd | 3 8 10 = 3: 0 5 7 = 8: 0 2 7 = 10: 0 5 10 0 2 7 11 = M9 no 3rd, mM9 no 3rd | 1 6 = 1: 0 5 = 6: 0 7 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 2 9 10 | 3 8 = 3: 0 5 = 8: 0 7 0 2 9 11 | 1 6 = 1: 0 5 = 6: 0 7 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 0 = 0: 0 0 3 5 7 = m add 11 | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 0 4 5 7 = M add 11 | 1 8 = 1: 0 7 = 8: 0 5 0 4 6 7 = Madd#11, Jetsons, all-int | 6 = 6: 0 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 10 = m11 no 5th 7th 9th, 4 in 4ths | 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 0 4 5 10 | 8 = 8: 0 0 4 5 11 | 1 = 1: 0 6th Chords (Scale Degrees: 1356) 0 3 7 8 = mb6 | 5 10 = 5: 0 5 = 10: 0 7 0 3 7 9 = m6 , Tristan chord | 3 = 3: 0 0 4 7 9 = 6 | 1 6 8 = 1: 0 5 7 = 6: 0 2 7 = 8: 0 5 10 7th Chords (Scale Degrees: 1357) 0 3 6 10 = m7b5, Tristan chord, half-dim. 7th | 0 = 0: 0 0 3 7 10 = m7 | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 0 4 6 11 = M7b5 | 6 = 6: 0 0 4 7 10 = 7, German aug. 6th chord | 8 = 8: 0 0 4 7 11 = M7 |