# Chord Type: 0 4 6 10 11

## 0 4 6 10 11 = M7b5/#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 6 8
• Inversionally Symmetrical

## General Statistics

Cardinality:                     5
Jordan Number:                   5-63
Forte Number:                    5-15
Forte Prime Form:                [0,1,2,6,8]
Zeitler Scale Name:              Zathitonic
Ian Ring's Scale Page 3153

Root Reference:                  0 4 6 10 11
Tone Stacking:                   0 4 2 4 1
Interval Stacking:               4 2 4 1 1
Binary:                          1 0 0 0 1 0 1 0 0 0 1 1
Decimal Value:                   3153

Interval Vector:                 2 2 0 2 2 2
Inversional Symmetry:            yes (axes of symmetry: 5 11)
Transpositional Symmetry:        no
Modal-system-invariant under multiplication by: 1 5 7 11
Modal System Balanced:           no

Modes of Chord Type:
• (mode 0) 0:  0 4 6 10 11 | M7b5/#6
(mode 1) 4:  0 2 6  7  8 |
(mode 2) 6:  0 4 5  6 10 | 11b5 no 9th
(mode 3) 10: 0 1 2  6  8 |
(mode 4) 11: 0 1 5  7 11 |
Inversion at 0:               0 1 2 6 8
• (mode 0) 0: 0 1 2  6  8 |
(mode 1) 1: 0 1 5  7 11 |
(mode 2) 2: 0 4 6 10 11 | M7b5/#6
(mode 3) 6: 0 2 6  7  8 |
(mode 4) 8: 0 4 5  6 10 | 11b5 no 9th
Times 7:                      0 4 5 6 10
• (mode 0) 0:  0 4 5  6 10 | 11b5 no 9th
(mode 1) 4:  0 1 2  6  8 |
(mode 2) 5:  0 1 5  7 11 |
(mode 3) 6:  0 4 6 10 11 | M7b5/#6
(mode 4) 10: 0 2 6  7  8 |
Times 5:                      0 2 6 7 8
• (mode 0) 0: 0 2 6  7  8 |
(mode 1) 2: 0 4 5  6 10 | 11b5 no 9th
(mode 2) 6: 0 1 2  6  8 |
(mode 3) 7: 0 1 5  7 11 |
(mode 4) 8: 0 4 6 10 11 | M7b5/#6

Modal System:                     0 1 2 6 8 from root(s) 10 | ""
Modes of Modal System:
• (mode 0) 0: 0 1 2  6  8 |
(mode 1) 1: 0 1 5  7 11 |
(mode 2) 2: 0 4 6 10 11 | M7b5/#6
(mode 3) 6: 0 2 6  7  8 |
(mode 4) 8: 0 4 5  6 10 | 11b5 no 9th

Complement:                    1 2 3 5 7 8 9
• (mode 0) 1: 0 1 2 4 6  7  8 |
(mode 1) 2: 0 1 3 5 6  7 11 |
(mode 2) 3: 0 2 4 5 6 10 11 | M#13b5
(mode 3) 5: 0 2 3 4 8  9 10 |
(mode 4) 7: 0 1 2 6 7  8 10 | mela 38 Jalarnavam
(mode 5) 8: 0 1 5 6 7  9 11 |
(mode 6) 9: 0 4 5 6 8 10 11 |
All but the root (subchroma complement of 0): 4 6 10 11
• (mode 0) 4:  0 2 6  7 |
(mode 1) 6:  0 4 5 10 |
(mode 2) 10: 0 1 6  8 |
(mode 3) 11: 0 5 7 11 | M7sus4

## De-Chromaticizations

• Dechromaticised: 0 4 6 10
• (mode 0) 0:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 1) 4:  0 2 6  8 |
(mode 2) 6:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 3) 10: 0 2 6  8 |
• Dechromaticised but Keep 0       0 4 6 10 (unchanged)
• (mode 0) 0:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 1) 4:  0 2 6  8 |
(mode 2) 6:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 3) 10: 0 2 6  8 |
• Dechromaticised but Keep 0 7     N/A
• Dechromaticised but Keep 0 3 4 7     0 4 6 10 (unchanged)
• (mode 0) 0:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 1) 4:  0 2 6  8 |
(mode 2) 6:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 3) 10: 0 2 6  8 |

• Alt-Dechromaticised: 0 4 6 10
• (mode 0) 0:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 1) 4:  0 2 6  8 |
(mode 2) 6:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 3) 10: 0 2 6  8 |
• Alt-Dechromaticised but Keep 0       0 4 6 10 (unchanged)
• (mode 0) 0:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 1) 4:  0 2 6  8 |
(mode 2) 6:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 3) 10: 0 2 6  8 |
• Alt-Dechromaticised but Keep 0 7     N/A
• Alt-Dechromaticised but Keep 0 3 4 7     0 4 6 10 (unchanged)
• (mode 0) 0:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 1) 4:  0 2 6  8 |
(mode 2) 6:  0 4 6 10 | 7b5 = French aug. 6th chord
(mode 3) 10: 0 2 6  8 |

## Bright Layer Decomposition

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

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
4 =  4 =  4:  0
6 =  6 =  6:  0
10 = 10 = 10:  0
11 = 11 = 11:  0

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

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

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

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

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