# Chord Type: 0 3 7 8 11

## 0 3 7 8 11 = mM7/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)
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### The information on this page uses the Jordan Chromatic System

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## Chord Type Fun Facts

0 3 7 8 11
• Subset of Augmented Scale (0 3 4 7 8 11)
• Subset of Harmonic Minor (0 2 3 5 7 8 11)

## Modal System Fun Facts

0 1 4 5 8
• Subset of Augmented Scale
• Subset of Harmonic Minor Modal System
• Subset of Dorian Blues Scale

## General Statistics

Cardinality:                     5
Jordan Number:                   5-62
Forte Number:                    5-21
Forte Prime Form:                [0,1,4,5,8]
Zeitler Scale Name:              Kyritonic
Ian Ring's Scale Page 2441

Root Reference:                  0 3 7 8 11
Tone Stacking:                   0 3 4 1 3
Interval Stacking:               3 4 1 3 1
Binary:                          1 0 0 1 0 0 0 1 1 0 0 1
Decimal Value:                   2441

Interval Vector:                 2 0 2 4 2 0
Inversional Symmetry:            no
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.333
Harmonic Adjacency (0-1):        0.333
Modal-system-invariant under multiplication by: 1 5
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 3 7  8 11 |mM7/b6
+1= 0 1 4  8  9 |
+2= 1 2 5  9 10 |
+3= 2 3 6 10 11 |
+4= 0 3 4  7 11 |M7#9
+5= 0 1 4  5  8 |
+6= 1 2 5  6  9 |
+7= 2 3 6  7 10 |
+8= 3 4 7  8 11 |
+9= 0 4 5  8  9 |
+10= 1 5 6  9 10 |
+11= 2 6 7 10 11 |
Modes of Chord Type:
• (mode 0) 0:  0 3 7 8 11 | mM7/b6
(mode 1) 3:  0 4 5 8  9 |
(mode 2) 7:  0 1 4 5  8 |
(mode 3) 8:  0 3 4 7 11 | M7#9
(mode 4) 11: 0 1 4 8  9 |
Modes of Chord Type Sorted by Rootedness:
•   1.950(mode 3)8:0 3 4 7 11 |M7#9
1.217(mode 0)0:0 3 7 8 11 |mM7/b6
.817(mode 4)11:0 1 4 8  9 |
.383(mode 2)7:0 1 4 5  8 |
.367(mode 1)3:0 4 5 8  9 |
Inversion at 0:               0 1 4 5 9
• (mode 0) 0: 0 1 4 5  9 |
(mode 1) 1: 0 3 4 8 11 | M7#5#9
(mode 2) 4: 0 1 5 8  9 |
(mode 3) 5: 0 4 7 8 11 | M7/b6
(mode 4) 9: 0 3 4 7  8 |
Times 7:                      0 1 5 8 9
• (mode 0) 0: 0 1 5 8  9 |
(mode 1) 1: 0 4 7 8 11 | M7/b6
(mode 2) 5: 0 3 4 7  8 |
(mode 3) 8: 0 1 4 5  9 |
(mode 4) 9: 0 3 4 8 11 | M7#5#9
Times 5:                      0 3 4 7 11
• (mode 0) 0:  0 3 4 7 11 | M7#9
(mode 1) 3:  0 1 4 8  9 |
(mode 2) 4:  0 3 7 8 11 | mM7/b6
(mode 3) 7:  0 4 5 8  9 |
(mode 4) 11: 0 1 4 5  8 |

Modal System:                     0 1 4 5 8 from root(s) 7 | "M7#9 modal system"
Modes of Modal System:
• (mode 0) 0: 0 1 4 5  8 |
(mode 1) 1: 0 3 4 7 11 | M7#9
(mode 2) 4: 0 1 4 8  9 |
(mode 3) 5: 0 3 7 8 11 | mM7/b6
(mode 4) 8: 0 4 5 8  9 |

Complement:                    1 2 4 5 6 9 10
• (mode 0) 1:  0 1 3 4 5  8  9 |
(mode 1) 2:  0 2 3 4 7  8 11 |
(mode 2) 4:  0 1 2 5 6  9 10 |
(mode 3) 5:  0 1 4 5 8  9 11 | M13#5b9
(mode 4) 6:  0 3 4 7 8 10 11 | 03478B & m7 = 03478B & dom.7
(mode 5) 9:  0 1 4 5 7  8  9 |
(mode 6) 10: 0 3 4 6 7  8 11 | Mb13b5#9 = mela 69 Dhatuvardani
All but the root (subchroma complement of 0): 3 7 8 11
• (mode 0) 3:  0 4 5  8 |
(mode 1) 7:  0 1 4  8 |
(mode 2) 8:  0 3 7 11 | mM7
(mode 3) 11: 0 4 8  9 |

## 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

## Bright Layer Decomposition

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

## Bright Layer Composition

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

## Subset Chord Types by Subchroma Modal System

• Subchroma Modal Systems of 0 3 7 8 11

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

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 11 =  7  8 11 =  7:  0  1  4     8:  0  3 11
8 11  0 =  0  8 11 =  8:  0  3  4
11  0  3 =  0  3 11 = 11:  0  1  4     0:  0  3 11

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

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

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