# Chord Type: 0 1 7 10

## 0 1 7 10 = 7b9 no 3rd = -7b9 no 3rd

### 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
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## Chord Type Fun Facts

0 1 7 10
• Subset of Diminished Scale (0 1 3 4 6 7 9 10)
• Subset of Phrygian Mode (0 1 3 5 7 8 10)

## Modal System Fun Facts

0 1 7 10
• Subset of Diminished Scale
• Subset of Diatonic Modal System
• Subset of Harmonic Minor Modal System
• Subset of Melodic Minor Modal System
• Subset of Dorian Blues Scale
• Subset of Harmonic Major Modal System

## General Statistics

Cardinality:                     4
Jordan Number:                   4-30
Forte Number:                    4-13
Forte Prime Form:                [0,1,3,6]
Zeitler Scale Name:
Ian Ring's Scale Page 1155

Root Reference:                  0 1 7 10
Tone Stacking:                   0 1 6 3
Interval Stacking:               1 6 3 2
Binary:                          1 1 0 0 0 0 0 1 0 0 1 0
Decimal Value:                   1155

Interval Vector:                 1 1 2 0 1 1
Inversional Symmetry:            no
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.667
Harmonic Adjacency (0-1):        0.667
Modal-system-invariant under multiplication by: 1 7
Modal System Balanced:           no

Diachromatic Family:             9th chords no 3rd (Scale Degrees: 1257)
All Transpositions of Chord Type:
• +0= 0 1  7 10 |7b9 no 3rd = -7b9 no 3rd
+1= 1 2  8 11 |
+2= 0 2  3  9 |
+3= 1 3  4 10 |
+4= 2 4  5 11 |
+5= 0 3  5  6 |blues tetrachord
+6= 1 4  6  7 |
+7= 2 5  7  8 |
+8= 3 6  8  9 |
+9= 4 7  9 10 |
+10= 5 8 10 11 |
+11= 0 6  9 11 |
Modes of Chord Type:
• (mode 0) 0:  0 1 7 10 | 7b9 no 3rd = -7b9 no 3rd
(mode 1) 1:  0 6 9 11 |
(mode 2) 7:  0 3 5  6 | blues tetrachord
(mode 3) 10: 0 2 3  9 |
Modes of Chord Type Sorted by Rootedness:
•   1.492(mode 0)0:0 1 7 10 |7b9 no 3rd = -7b9 no 3rd
.958(mode 3)10:0 2 3  9 |
.733(mode 1)1:0 6 9 11 |
.317(mode 2)7:0 3 5  6 |blues tetrachord
Inversion at 0:               0 2 5 11
• (mode 0) 0:  0 2 5 11 |
(mode 1) 2:  0 3 9 10 | m7/6 no 5th
(mode 2) 5:  0 6 7  9 |
(mode 3) 11: 0 1 3  6 | dim. add b9
Times 7:                      0 1 7 10
• (mode 0) 0:  0 1 7 10 | 7b9 no 3rd = -7b9 no 3rd
(mode 1) 1:  0 6 9 11 |
(mode 2) 7:  0 3 5  6 | blues tetrachord
(mode 3) 10: 0 2 3  9 |
Times 5:                      0 2 5 11
• (mode 0) 0:  0 2 5 11 |
(mode 1) 2:  0 3 9 10 | m7/6 no 5th
(mode 2) 5:  0 6 7  9 |
(mode 3) 11: 0 1 3  6 | dim. add b9

Modal System:                     0 1 7 10 from root(s) 0 | "blues tetrachord modal system"
Modes of Modal System:
• (mode 0) 0:  0 1 7 10 | 7b9 no 3rd = -7b9 no 3rd
(mode 1) 1:  0 6 9 11 |
(mode 2) 7:  0 3 5  6 | blues tetrachord
(mode 3) 10: 0 2 3  9 |

Complement:                    2 3 4 5 6 8 9 11
• (mode 0) 2:  0 1 2 3 4 6  7  9 |
(mode 1) 3:  0 1 2 3 5 6  8 11 |
(mode 2) 4:  0 1 2 4 5 7 10 11 |
(mode 3) 5:  0 1 3 4 6 9 10 11 |
(mode 4) 6:  0 2 3 5 8 9 10 11 |
(mode 5) 8:  0 1 3 6 7 8  9 10 |
(mode 6) 9:  0 2 5 6 7 8  9 11 |
(mode 7) 11: 0 3 4 5 6 7  9 10 |
All but the root (subchroma complement of 0): 1 7 10
• (mode 0) 1:  0 6 9 |
(mode 1) 7:  0 3 6 | dim. = diminished triad = diminished chord
(mode 2) 10: 0 3 9 | m6 no 5th

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

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
1 =  1 =  1:  0
7 =  7 =  7:  0
10 = 10 = 10:  0

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

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

subchroma modal system: 0 1 2
0  1  7 =  0  1  7 =  0:  0  1  7
1  7 10 =  1  7 10 =  7:  0  3  6    10:  0  3  9
7 10  0 =  0  7 10 =  7:  0  3  5     0:  0  7 10
10  0  1 =  0  1 10 = 10:  0  2  3

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