# Chord Type: 0 3 7 8 10

## 0 3 7 8 10 = m7/b6

### 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 3 7 8 10
• Subset of Phrygian Mode (0 1 3 5 7 8 10)
• Subset of Aeolean Mode (0 2 3 5 7 8 10)

## Modal System Fun Facts

0 1 3 5 8
• Subset of Diatonic Modal System
• Subset of Dorian Blues Scale
• Subset of Harmonic Major Modal System

## General Statistics

Cardinality:                     5
Jordan Number:                   5-60
Forte Number:                    5-27
Forte Prime Form:                [0,1,3,5,8]
Zeitler Scale Name:              Zoptitonic
Ian Ring's Scale Page 1417

Root Reference:                  0 3 7 8 10
Tone Stacking:                   0 3 4 1 2
Interval Stacking:               3 4 1 2 2
Binary:                          1 0 0 1 0 0 0 1 1 0 1 0
Decimal Value:                   1417

Interval Vector:                 1 2 2 2 3 0
Inversional Symmetry:            no
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.417
Harmonic Adjacency (0-1):        0.833
Modal-system-invariant under multiplication by: 1
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 3 7  8 10 |m7/b6
+1= 1 4 8  9 11 |
+2= 0 2 5  9 10 |
+3= 1 3 6 10 11 |
+4= 0 2 4  7 11 |M9
+5= 0 1 3  5  8 |
+6= 1 2 4  6  9 |
+7= 2 3 5  7 10 |
+8= 3 4 6  8 11 |
+9= 0 4 5  7  9 |
+10= 1 5 6  8 10 |
+11= 2 6 7  9 11 |
Modes of Chord Type:
• (mode 0) 0:  0 3 7 8 10 | m7/b6
(mode 1) 3:  0 4 5 7  9 |
(mode 2) 7:  0 1 3 5  8 |
(mode 3) 8:  0 2 4 7 11 | M9
(mode 4) 10: 0 2 5 9 10 |
Modes of Chord Type Sorted by Rootedness:
Inversion at 0:               0 2 4 5 9
• (mode 0) 0: 0 2 4 5  9 |
(mode 1) 2: 0 2 3 7 10 | m9
(mode 2) 4: 0 1 5 8 10 |
(mode 3) 5: 0 4 7 9 11 | M7/6
(mode 4) 9: 0 3 5 7  8 |
Times 7:                      0 1 8 9 10
• (mode 0) 0:  0 1 8  9 10 |
(mode 1) 1:  0 7 8  9 11 |
(mode 2) 8:  0 1 2  4  5 |
(mode 3) 9:  0 1 3  4 11 |
(mode 4) 10: 0 2 3 10 11 | m#13 no 5th, 11th
Times 5:                      0 2 3 4 11
• (mode 0) 0:  0 2 3  4 11 |
(mode 1) 2:  0 1 2  9 10 |
(mode 2) 3:  0 1 8  9 11 |
(mode 3) 4:  0 7 8 10 11 |
(mode 4) 11: 0 1 3  4  5 |

Modal System:                     0 1 3 5 8 from root(s) 7 | "M9 chord modal system"
Modes of Modal System:
• (mode 0) 0: 0 1 3 5  8 |
(mode 1) 1: 0 2 4 7 11 | M9
(mode 2) 3: 0 2 5 9 10 |
(mode 3) 5: 0 3 7 8 10 | m7/b6
(mode 4) 8: 0 4 5 7  9 |

Complement:                    1 2 4 5 6 9 11
• (mode 0) 1:  0 1 3 4 5  8 10 |
(mode 1) 2:  0 2 3 4 7  9 11 |
(mode 2) 4:  0 1 2 5 7  9 10 | mela 4 Vanaspati
(mode 3) 5:  0 1 4 6 8  9 11 | M13#5b9#11
(mode 4) 6:  0 3 5 7 8 10 11 |
(mode 5) 9:  0 2 4 5 7  8  9 |
(mode 6) 11: 0 2 3 5 6  7 10 |
All but the root (subchroma complement of 0): 3 7 8 10
• (mode 0) 3:  0 4 5  7 | M add 11
(mode 1) 7:  0 1 3  8 |
(mode 2) 8:  0 2 7 11 | M9 no 3rd = mM9 no 3rd
(mode 3) 10: 0 5 9 10 |

## 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 7 8 10
• (mode 0) 0:  0 7 8 10 |
(mode 1) 7:  0 1 3  5 | Greek diatonic tetrachord
(mode 2) 8:  0 2 4 11 | M9 no 5th
(mode 3) 10: 0 2 9 10 |
• Alt-Dechromaticised but Keep 0       0 7 8 10 (unchanged)
• (mode 0) 0:  0 7 8 10 |
(mode 1) 7:  0 1 3  5 | Greek diatonic tetrachord
(mode 2) 8:  0 2 4 11 | M9 no 5th
(mode 3) 10: 0 2 9 10 |
• Alt-Dechromaticised but Keep 0 7     0 7 8 10 (unchanged)
• (mode 0) 0:  0 7 8 10 |
(mode 1) 7:  0 1 3  5 | Greek diatonic tetrachord
(mode 2) 8:  0 2 4 11 | M9 no 5th
(mode 3) 10: 0 2 9 10 |
• Alt-Dechromaticised but Keep 0 3 4 7     0 3 7 8 10
• (mode 0) 0:  0 3 7 8 10 | m7/b6
(mode 1) 3:  0 4 5 7  9 |
(mode 2) 7:  0 1 3 5  8 |
(mode 3) 8:  0 2 4 7 11 | M9
(mode 4) 10: 0 2 5 9 10 |

## Bright Layer Decomposition

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

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
3 =  3 =  3:  0
7 =  7 =  7:  0
8 =  8 =  8:  0
10 = 10 = 10:  0

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

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

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

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

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