# Chord Type: 0 3 7 10 11

## 0 3 7 10 11 = mM7/#6

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

## Modal System Fun Facts

0 1 2 5 9
• Inversionally Symmetrical
• Subset of Dorian Blues Scale

## General Statistics

Cardinality:                     5
Jordan Number:                   5-57
Forte Number:                    5-z37
Forte Prime Form:                [0,3,4,5,8]
Zeitler Scale Name:              Aeraphitonic
Ian Ring's Scale Page 3209

Root Reference:                  0 3 7 10 11
Tone Stacking:                   0 3 4 3 1
Interval Stacking:               3 4 3 1 1
Binary:                          1 0 0 1 0 0 0 1 0 0 1 1
Decimal Value:                   3209

Interval Vector:                 2 1 2 3 2 0
Inversional Symmetry:            yes (axes of symmetry: 5 11)
Transpositional Symmetry:        no
Modal-system-invariant under multiplication by: 1 11
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 3 7 10 11 |mM7/#6
+1= 0 1 4  8 11 |M7#5b9
+2= 0 1 2  5  9 |
+3= 1 2 3  6 10 |
+4= 2 3 4  7 11 |
+5= 0 3 4  5  8 |
+6= 1 4 5  6  9 |
+7= 2 5 6  7 10 |
+8= 3 6 7  8 11 |
+9= 0 4 7  8  9 |
+10= 1 5 8  9 10 |
+11= 2 6 9 10 11 |
Modes of Chord Type:
• (mode 0) 0:  0 3 7 10 11 | mM7/#6
(mode 1) 3:  0 4 7  8  9 |
(mode 2) 7:  0 3 4  5  8 |
(mode 3) 10: 0 1 2  5  9 |
(mode 4) 11: 0 1 4  8 11 | M7#5b9
Modes of Chord Type Sorted by Rootedness:
Inversion at 0:               0 1 2 5 9
• (mode 0) 0: 0 1 2  5  9 |
(mode 1) 1: 0 1 4  8 11 | M7#5b9
(mode 2) 2: 0 3 7 10 11 | mM7/#6
(mode 3) 5: 0 4 7  8  9 |
(mode 4) 9: 0 3 4  5  8 |
Times 7:                      0 1 5 9 10
• (mode 0) 0:  0 1 5 9 10 |
(mode 1) 1:  0 4 8 9 11 |
(mode 2) 5:  0 4 5 7  8 |
(mode 3) 9:  0 1 3 4  8 | Farben chord
(mode 4) 10: 0 2 3 7 11 | mM9 = Farben chord
Times 5:                      0 2 3 7 11
• (mode 0) 0:  0 2 3 7 11 | mM9 = Farben chord
(mode 1) 2:  0 1 5 9 10 |
(mode 2) 3:  0 4 8 9 11 |
(mode 3) 7:  0 4 5 7  8 |
(mode 4) 11: 0 1 3 4  8 | Farben chord

Modal System:                     0 1 2 5 9 from root(s) 10 | "M7#5b9 modal system"
Modes of Modal System:
• (mode 0) 0: 0 1 2  5  9 |
(mode 1) 1: 0 1 4  8 11 | M7#5b9
(mode 2) 2: 0 3 7 10 11 | mM7/#6
(mode 3) 5: 0 4 7  8  9 |
(mode 4) 9: 0 3 4  5  8 |

Complement:                    1 2 4 5 6 8 9
• (mode 0) 1: 0 1 3 4 5  7  8 |
(mode 1) 2: 0 2 3 4 6  7 11 |
(mode 2) 4: 0 1 2 4 5  9 10 |
(mode 3) 5: 0 1 3 4 8  9 11 |
(mode 4) 6: 0 2 3 7 8 10 11 |
(mode 5) 8: 0 1 5 6 8  9 10 |
(mode 6) 9: 0 4 5 7 8  9 11 |
All but the root (subchroma complement of 0): 3 7 10 11
• (mode 0) 3:  0 4 7  8 | Mb6
(mode 1) 7:  0 3 4  8 | aug. add #9
(mode 2) 10: 0 1 5  9 |
(mode 3) 11: 0 4 8 11 | M7#5

## De-Chromaticizations

• Dechromaticised: 0 3 7 10
• (mode 0) 0:  0 3 7 10 | m7
(mode 1) 3:  0 4 7  9 | 6
(mode 2) 7:  0 3 5  8 |
(mode 3) 10: 0 2 5  9 |
• Dechromaticised but Keep 0       0 3 7 10 (unchanged)
• (mode 0) 0:  0 3 7 10 | m7
(mode 1) 3:  0 4 7  9 | 6
(mode 2) 7:  0 3 5  8 |
(mode 3) 10: 0 2 5  9 |
• Dechromaticised but Keep 0 7     0 3 7 10 (unchanged)
• (mode 0) 0:  0 3 7 10 | m7
(mode 1) 3:  0 4 7  9 | 6
(mode 2) 7:  0 3 5  8 |
(mode 3) 10: 0 2 5  9 |
• Dechromaticised but Keep 0 3 4 7     0 3 7 10 (unchanged)
• (mode 0) 0:  0 3 7 10 | m7
(mode 1) 3:  0 4 7  9 | 6
(mode 2) 7:  0 3 5  8 |
(mode 3) 10: 0 2 5  9 |

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

## Bright Layer Composition

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

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

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

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