# Chord Type: 0 1 5 7 10

## 0 1 5 7 10 = Insenpo (Insen) = han iwato

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

## Chord Type Fun Facts

0 1 5 7 10
• Subset of Phrygian Mode (0 1 3 5 7 8 10)

## Modal System Fun Facts

0 1 5 7 10
• 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:                     5
Jordan Number:                   5-45
Forte Number:                    5-29
Forte Prime Form:                [0,1,3,6,8]
Zeitler Scale Name:              Thalitonic
Ian Ring's Scale Page 1187

Root Reference:                  0 1 5 7 10
Tone Stacking:                   0 1 4 2 3
Interval Stacking:               1 4 2 3 2
Binary:                          1 1 0 0 0 1 0 1 0 0 1 0
Decimal Value:                   1187

Interval Vector:                 1 2 2 1 3 1
Inversional Symmetry:            no
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.333
Harmonic Adjacency (0-1):        0.833
Modal-system-invariant under multiplication by: 1
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 1 5  7 10 |Insenpo (Insen) = han iwato
+1= 1 2 6  8 11 |
+2= 0 2 3  7  9 |m6/9 = akebono = Thai mode 1 (MSOFTW)
+3= 1 3 4  8 10 |
+4= 2 4 5  9 11 |
+5= 0 3 5  6 10 |m11b5 no 9th
+6= 1 4 6  7 11 |
+7= 0 2 5  7  8 |kokin joshi
+8= 1 3 6  8  9 |
+9= 2 4 7  9 10 |
+10= 3 5 8 10 11 |
+11= 0 4 6  9 11 |
Modes of Chord Type:
• (mode 0) 0:  0 1 5 7 10 | Insenpo (Insen) = han iwato
(mode 1) 1:  0 4 6 9 11 |
(mode 2) 5:  0 2 5 7  8 | kokin joshi
(mode 3) 7:  0 3 5 6 10 | m11b5 no 9th
(mode 4) 10: 0 2 3 7  9 | m6/9 = akebono = Thai mode 1 (MSOFTW)
Modes of Chord Type Sorted by Rootedness:
Inversion at 0:               0 2 5 7 11
• (mode 0) 0:  0 2 5 7 11 | M11 no 3rd = batti major
(mode 1) 2:  0 3 5 9 10 |
(mode 2) 5:  0 2 6 7  9 | Javanese pelog pathet barang
(mode 3) 7:  0 4 5 7 10 | 11 no 9th
(mode 4) 11: 0 1 3 6  8 |
Times 7:                      0 1 7 10 11
• (mode 0) 0:  0 1 7 10 11 |
(mode 1) 1:  0 6 9 10 11 |
(mode 2) 7:  0 3 4  5  6 |
(mode 3) 10: 0 1 2  3  9 |
(mode 4) 11: 0 1 2  8 11 |
Times 5:                      0 1 2 5 11
• (mode 0) 0:  0 1 2  5 11 |
(mode 1) 1:  0 1 4 10 11 | 7#13b9 no 5th, 11th
(mode 2) 2:  0 3 9 10 11 |
(mode 3) 5:  0 6 7  8  9 |
(mode 4) 11: 0 1 2  3  6 |

Modal System:                     0 1 5 7 10 from root(s) 0 | "Insen modal system = m6/9 modal system"
Modes of Modal System:
• (mode 0) 0:  0 1 5 7 10 | Insenpo (Insen) = han iwato
(mode 1) 1:  0 4 6 9 11 |
(mode 2) 5:  0 2 5 7  8 | kokin joshi
(mode 3) 7:  0 3 5 6 10 | m11b5 no 9th
(mode 4) 10: 0 2 3 7  9 | m6/9 = akebono = Thai mode 1 (MSOFTW)

Complement:                    2 3 4 6 8 9 11
• (mode 0) 2:  0 1 2 4 6  7  9 |
(mode 1) 3:  0 1 3 5 6  8 11 | mMb13b5b9
(mode 2) 4:  0 2 4 5 7 10 11 | M#13 = mela 30 Naganandini
(mode 3) 6:  0 2 3 5 8  9 10 | m13#5
(mode 4) 8:  0 1 3 6 7  8 10 | mb13b9#11 = Javanese full pelog = mela 44 Bhavapriya
(mode 5) 9:  0 2 5 6 7  9 11 |
(mode 6) 11: 0 3 4 5 7  9 10 | 13#9 = mela 34 Vagadheeswari = mixolydian #2
All but the root (subchroma complement of 0): 1 5 7 10
• (mode 0) 1:  0 4 6  9 |
(mode 1) 5:  0 2 5  8 |
(mode 2) 7:  0 3 6 10 | m7b5 = Tristan chord = half-diminished 7th chord
(mode 3) 10: 0 3 7  9 | m6 = Tristan chord

## 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: 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
• Alt-Dechromaticised but Keep 0       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 |
• Alt-Dechromaticised but Keep 0 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 |
• Alt-Dechromaticised but Keep 0 3 4 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 |

## Bright Layer Decomposition

•  order origin root set chord type (as pcset) 1 0 0 0 1 5 7 10 = 0: 0 1 5 7 10 = 1: 0 4 6 9 11 = 5: 0 2 5 7 8 = 7: 0 3 5 6 10 = 10: 0 2 3 7 9 1 5 5 0 2 5 7 8 = 0: 0 2 5 7 8 = 2: 0 3 5 6 10 = 5: 0 2 3 7 9 = 7: 0 1 5 7 10 = 8: 0 4 6 9 11 1 7 7 0 3 5 6 10 = 0: 0 3 5 6 10 = 3: 0 2 3 7 9 = 5: 0 1 5 7 10 = 6: 0 4 6 9 11 = 10: 0 2 5 7 8 1 10 10 0 2 3 7 9 = 0: 0 2 3 7 9 = 2: 0 1 5 7 10 = 3: 0 4 6 9 11 = 7: 0 2 5 7 8 = 9: 0 3 5 6 10

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
1 =  1 =  1:  0
5 =  5 =  5:  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  5 =  1  5 =  1:  0  4     5:  0  8
5  7 =  5  7 =  5:  0  2     7:  0 10
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  5 =  0  5 =  0:  0  5     5:  0  7
1  7 =  1  7 =  1  7:  0  6
5 10 =  5 10 =  5:  0  5    10:  0  7
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  5 =  0  1  5 =  1:  0  4 11     5:  0  7  8
1  5  7 =  1  5  7 =  1:  0  4  6
5  7 10 =  5  7 10 =  7:  0  3 10    10:  0  7  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 3
0  1  7 =  0  1  7 =  0:  0  1  7
1  5 10 =  1  5 10 = 10:  0  3  7     1:  0  4  9
5  7  0 =  0  5  7 =  5:  0  2  7     0:  0  5  7     7:  0  5 10
7 10  1 =  1  7 10 =  7:  0  3  6    10:  0  3  9
10  0  5 =  0  5 10 = 10:  0  2  7     5:  0  5  7     0:  0  5 10

subchroma modal system: 0 1 2 3
0  1  5  7 =  0  1  5  7 =  0:  0  1  5  7     5:  0  2  7  8     1:  0  4  6 11
1  5  7 10 =  1  5  7 10 = 10:  0  3  7  9     7:  0  3  6 10
5  7 10  0 =  0  5  7 10 =  5:  0  2  5  7    10:  0  2  7  9     7:  0  3  5 10     0:  0  5  7 10
7 10  0  1 =  0  1  7 10 =  0:  0  1  7 10     7:  0  3  5  6
10  0  1  5 =  0  1  5 10 = 10:  0  2  3  7     1:  0  4  9 11     5:  0  5  7  8

subchroma modal system: 0 1 2 3 4
0  1  5  7 10 =  0  1  5  7 10 = 10:  0  2  3  7  9     5:  0  2  5  7  8     0:  0  1  5  7 10     7:  0  3  5  6 10
1  5  7 10  0 =  0  1  5  7 10 = 10:  0  2  3  7  9     5:  0  2  5  7  8     0:  0  1  5  7 10     7:  0  3  5  6 10
5  7 10  0  1 =  0  1  5  7 10 = 10:  0  2  3  7  9     5:  0  2  5  7  8     0:  0  1  5  7 10     7:  0  3  5  6 10
7 10  0  1  5 =  0  1  5  7 10 = 10:  0  2  3  7  9     5:  0  2  5  7  8     0:  0  1  5  7 10     7:  0  3  5  6 10
10  0  1  5  7 =  0  1  5  7 10 = 10:  0  2  3  7  9     5:  0  2  5  7  8     0:  0  1  5  7 10     7:  0  3  5  6 10