# Chord Type: 0 4 7 11

## 0 4 7 11 = M7

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

## Chord Type Fun Facts

0 4 7 11
• Subset of Augmented Scale (0 3 4 7 8 11)
• Subset of Ionian Mode (0 2 4 5 7 9 11)
• Subset of Lydian Mode (0 2 4 6 7 9 11)

## Modal System Fun Facts

0 1 5 8
• Subset of Augmented Scale
• Subset of Diatonic Modal System
• Subset of Harmonic Minor Modal System
• Inversionally Symmetrical
• Subset of Dorian Blues Scale
• Subset of Harmonic Major Modal System

## General Statistics

Cardinality:                     4
Jordan Number:                   4-36
Forte Number:                    4-20
Forte Prime Form:                [0,1,5,8]
Zeitler Scale Name:              Thaptic
Ian Ring's Scale Page 2193

Root Reference:                  0 4 7 11
Tone Stacking:                   0 4 3 4
Interval Stacking:               4 3 4 1
Binary:                          1 0 0 0 1 0 0 1 0 0 0 1
Decimal Value:                   2193

Interval Vector:                 1 0 1 2 2 0
Inversional Symmetry:            yes (axes of symmetry: 5.5 11.5)
Transpositional Symmetry:        no
Modal-system-invariant under multiplication by: 1 11
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 4  7 11 |M7
+1= 0 1  5  8 |
+2= 1 2  6  9 |
+3= 2 3  7 10 |
+4= 3 4  8 11 |
+5= 0 4  5  9 |
+6= 1 5  6 10 |
+7= 2 6  7 11 |
+8= 0 3  7  8 |mb6
+9= 1 4  8  9 |
+10= 2 5  9 10 |
+11= 3 6 10 11 |
Modes of Chord Type:
• (mode 0) 0:  0 4 7 11 | M7
(mode 1) 4:  0 3 7  8 | mb6
(mode 2) 7:  0 4 5  9 |
(mode 3) 11: 0 1 5  8 |
Modes of Chord Type Sorted by Rootedness:
•   1.883(mode 0)0:0 4 7 11 |M7
1.167(mode 1)4:0 3 7  8 |mb6
.767(mode 2)7:0 4 5  9 |
.050(mode 3)11:0 1 5  8 |
Inversion at 0:               0 1 5 8
• (mode 0) 0: 0 1 5  8 |
(mode 1) 1: 0 4 7 11 | M7
(mode 2) 5: 0 3 7  8 | mb6
(mode 3) 8: 0 4 5  9 |
Times 7:                      0 1 4 5
• (mode 0) 0: 0 1 4  5 | Greek chromatic tetrachord
(mode 1) 1: 0 3 4 11 | M7#9 no 5th
(mode 2) 4: 0 1 8  9 |
(mode 3) 5: 0 7 8 11 |
Times 5:                      0 7 8 11
• (mode 0) 0:  0 7 8 11 |
(mode 1) 7:  0 1 4  5 | Greek chromatic tetrachord
(mode 2) 8:  0 3 4 11 | M7#9 no 5th
(mode 3) 11: 0 1 8  9 |

Modal System:                     0 1 5 8 from root(s) 11 | "M7 chord modal system"
Modes of Modal System:
• (mode 0) 0: 0 1 5  8 |
(mode 1) 1: 0 4 7 11 | M7
(mode 2) 5: 0 3 7  8 | mb6
(mode 3) 8: 0 4 5  9 |

Complement:                    1 2 3 5 6 8 9 10
• (mode 0) 1:  0 1 2 4 5 7  8  9 |
(mode 1) 2:  0 1 3 4 6 7  8 11 |
(mode 2) 3:  0 2 3 5 6 7 10 11 | 2367AB & minor pentatonic
(mode 3) 5:  0 1 3 4 5 8  9 10 |
(mode 4) 6:  0 2 3 4 7 8  9 11 |
(mode 5) 8:  0 1 2 5 6 7  9 10 |
(mode 6) 9:  0 1 4 5 6 8  9 11 |
(mode 7) 10: 0 3 4 5 7 8 10 11 |
All but the root (subchroma complement of 0): 4 7 11
• (mode 0) 4:  0 3 7 | m = minor triad = minor chord
(mode 1) 7:  0 4 9 | M6 no 5th
(mode 2) 11: 0 5 8 |

## 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) 2 0 0 7 0 4 = 0: 0 4 = 4: 0 8 1 0 0 0 4 7 11 = 0: 0 4 7 11 = 4: 0 3 7 8 = 7: 0 4 5 9 = 11: 0 1 5 8 2 4 4 11 0 8 = 0: 0 8 = 8: 0 4 1 4 4 0 3 7 8 = 0: 0 3 7 8 = 3: 0 4 5 9 = 7: 0 1 5 8 = 8: 0 4 7 11

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
4 =  4 =  4:  0
7 =  7 =  7:  0
11 = 11 = 11:  0

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

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

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