# Chord Type: 0 3 4 9 10

## 0 3 4 9 10 = 13#9 no 5th, 11th

### 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
Integral Arts Academy Home Page

## Chord Type Fun Facts

0 3 4 9 10
• Subset of Diminished Scale (0 1 3 4 6 7 9 10)

## Modal System Fun Facts

0 1 3 6 7
• Subset of Diminished Scale

## General Statistics

Cardinality:                     5
Jordan Number:                   5-29
Forte Number:                    5-19
Forte Prime Form:                [0,1,3,6,7]
Zeitler Scale Name:
Ian Ring's Scale Page 1561

Root Reference:                  0 3 4 9 10
Tone Stacking:                   0 3 1 5 1
Interval Stacking:               3 1 5 1 2
Binary:                          1 0 0 1 1 0 0 0 0 1 1 0
Decimal Value:                   1561

Interval Vector:                 2 1 2 1 2 2
Inversional Symmetry:            no
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.417
Harmonic Adjacency (0-1):        0.417
Modal-system-invariant under multiplication by: 1 7
Modal System Balanced:           no

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

Modal System:                     0 1 3 6 7 from root(s) 9 | ""
Modes of Modal System:
• (mode 0) 0: 0 1 3 6  7 |
(mode 1) 1: 0 2 5 6 11 |
(mode 2) 3: 0 3 4 9 10 | 13#9 no 5th, 11th
(mode 3) 6: 0 1 6 7  9 |
(mode 4) 7: 0 5 6 8 11 |

Complement:                    1 2 5 6 7 8 11
• (mode 0) 1:  0 1 4 5 6  7 10 |
(mode 1) 2:  0 3 4 5 6  9 11 | M13b5#9
(mode 2) 5:  0 1 2 3 6  8  9 |
(mode 3) 6:  0 1 2 5 7  8 11 | mela 3 Ganamurti
(mode 4) 7:  0 1 4 6 7 10 11 | M#13b9#11 = mela 54 Vishwambari
(mode 5) 8:  0 3 5 6 9 10 11 |
(mode 6) 11: 0 2 3 6 7  8  9 |
All but the root (subchroma complement of 0): 3 4 9 10
• (mode 0) 3:  0 1 6  7 |
(mode 1) 4:  0 5 6 11 |
(mode 2) 9:  0 1 6  7 |
(mode 3) 10: 0 5 6 11 |

## 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 4 9 10 = 0: 0 3 4 9 10 = 3: 0 1 6 7 9 = 4: 0 5 6 8 11 = 9: 0 1 3 6 7 = 10: 0 2 5 6 11 1 3 3 0 1 6 7 9 = 0: 0 1 6 7 9 = 1: 0 5 6 8 11 = 6: 0 1 3 6 7 = 7: 0 2 5 6 11 = 9: 0 3 4 9 10 1 9 9 0 1 3 6 7 = 0: 0 1 3 6 7 = 1: 0 2 5 6 11 = 3: 0 3 4 9 10 = 6: 0 1 6 7 9 = 7: 0 5 6 8 11

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
3 =  3 =  3:  0
4 =  4 =  4:  0
9 =  9 =  9:  0
10 = 10 = 10:  0

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

subchroma modal system: 0 2
0  4 =  0  4 =  0:  0  4     4:  0  8
3  9 =  3  9 =  3  9:  0  6
4 10 =  4 10 =  4 10:  0  6
9  0 =  0  9 =  9:  0  3     0:  0  9
10  3 =  3 10 = 10:  0  5     3:  0  7

subchroma modal system: 0 1 2
0  3  4 =  0  3  4 =  0:  0  3  4
3  4  9 =  3  4  9 =  9:  0  6  7
4  9 10 =  4  9 10 =  9:  0  1  7
9 10  0 =  0  9 10 =  9:  0  1  3    10:  0  2 11
10  0  3 =  0  3 10 =  0:  0  3 10     3:  0  7  9

subchroma modal system: 0 1 3
0  3  9 =  0  3  9 =  9:  0  3  6     0:  0  3  9
3  4 10 =  3  4 10 =  3:  0  1  7
4  9  0 =  0  4  9 =  9:  0  3  7     0:  0  4  9
9 10  3 =  3  9 10 =  3:  0  6  7
10  0  4 =  0  4 10 =  0:  0  4 10

subchroma modal system: 0 1 2 3
0  3  4  9 =  0  3  4  9 =  0:  0  3  4  9     9:  0  3  6  7
3  4  9 10 =  3  4  9 10 =  3  9:  0  1  6  7
4  9 10  0 =  0  4  9 10 =  9:  0  1  3  7     0:  0  4  9 10
9 10  0  3 =  0  3  9 10 =  9:  0  1  3  6     0:  0  3  9 10     3:  0  6  7  9
10  0  3  4 =  0  3  4 10 =  0:  0  3  4 10     3:  0  1  7  9

subchroma modal system: 0 1 2 3 4
0  3  4  9 10 =  0  3  4  9 10 =  9:  0  1  3  6  7     0:  0  3  4  9 10     3:  0  1  6  7  9
3  4  9 10  0 =  0  3  4  9 10 =  9:  0  1  3  6  7     0:  0  3  4  9 10     3:  0  1  6  7  9
4  9 10  0  3 =  0  3  4  9 10 =  9:  0  1  3  6  7     0:  0  3  4  9 10     3:  0  1  6  7  9
9 10  0  3  4 =  0  3  4  9 10 =  9:  0  1  3  6  7     0:  0  3  4  9 10     3:  0  1  6  7  9
10  0  3  4  9 =  0  3  4  9 10 =  9:  0  1  3  6  7     0:  0  3  4  9 10     3:  0  1  6  7  9