# Chord Type: 0 2 3 4 6

## 0 2 3 4 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 4 10
• Inversionally Symmetrical
• Subset of Dorian Blues Scale
• Harmonic adjacency = 0 (minimum).

## General Statistics

Cardinality:                     5
Jordan Number:                   5-8
Forte Number:                    5-8
Forte Prime Form:                [0,2,3,4,6]
Zeitler Scale Name:
Ian Ring's Scale Page 93

Root Reference:                  0 2 3 4 6
Tone Stacking:                   0 2 1 1 2
Interval Stacking:               2 1 1 2 6
Binary:                          1 0 1 1 1 0 1 0 0 0 0 0
Decimal Value:                   93

Interval Vector:                 2 3 2 2 0 1
Inversional Symmetry:            yes (axes of symmetry: 3 9)
Transpositional Symmetry:        no
Modal-system-invariant under multiplication by: 1 11
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 2 3  4  6 |
+1= 1 3 4  5  7 |
+2= 2 4 5  6  8 |
+3= 3 5 6  7  9 |
+4= 4 6 7  8 10 |
+5= 5 7 8  9 11 |
+6= 0 6 8  9 10 |
+7= 1 7 9 10 11 |
+8= 0 2 8 10 11 |
+9= 0 1 3  9 11 |mM13b9 no 5th, 11th
+10= 0 1 2  4 10 |
+11= 1 2 3  5 11 |
Modes of Chord Type:
• (mode 0) 0: 0 2 3  4  6 |
(mode 1) 2: 0 1 2  4 10 |
(mode 2) 3: 0 1 3  9 11 | mM13b9 no 5th, 11th
(mode 3) 4: 0 2 8 10 11 |
(mode 4) 6: 0 6 8  9 10 |
Inversion at 0:               0 6 8 9 10
• (mode 0) 0:  0 6 8  9 10 |
(mode 1) 6:  0 2 3  4  6 |
(mode 2) 8:  0 1 2  4 10 |
(mode 3) 9:  0 1 3  9 11 | mM13b9 no 5th, 11th
(mode 4) 10: 0 2 8 10 11 |
Times 7:                      0 2 4 6 9
• (mode 0) 0: 0 2 4 6  9 |
(mode 1) 2: 0 2 4 7 10 | 9
(mode 2) 4: 0 2 5 8 10 |
(mode 3) 6: 0 3 6 8 10 |
(mode 4) 9: 0 3 5 7  9 |
Times 5:                      0 3 6 8 10
• (mode 0) 0:  0 3 6 8 10 |
(mode 1) 3:  0 3 5 7  9 |
(mode 2) 6:  0 2 4 6  9 |
(mode 3) 8:  0 2 4 7 10 | 9
(mode 4) 10: 0 2 5 8 10 |

Modal System:                     0 1 2 4 10 from root(s) 2 | ""
Modes of Modal System:
• (mode 0) 0:  0 1 2  4 10 |
(mode 1) 1:  0 1 3  9 11 | mM13b9 no 5th, 11th
(mode 2) 2:  0 2 8 10 11 |
(mode 3) 4:  0 6 8  9 10 |
(mode 4) 10: 0 2 3  4  6 |

Complement:                    1 5 7 8 9 10 11
• (mode 0) 1:  0 4 6 7 8  9 10 |
(mode 1) 5:  0 2 3 4 5  6  8 |
(mode 2) 7:  0 1 2 3 4  6 10 |
(mode 3) 8:  0 1 2 3 5  9 11 |
(mode 4) 9:  0 1 2 4 8 10 11 |
(mode 5) 10: 0 1 3 7 9 10 11 |
(mode 6) 11: 0 2 6 8 9 10 11 |
All but the root (subchroma complement of 0): 2 3 4 6
• (mode 0) 2: 0 1  2  4 |
(mode 1) 3: 0 1  3 11 | Mm7b9 no 5th
(mode 2) 4: 0 2 10 11 |
(mode 3) 6: 0 8  9 10 |

## De-Chromaticizations

• Dechromaticised: 0 2 4 6
• (mode 0) 0: 0 2 4  6 | whole tone tetrachord
(mode 1) 2: 0 2 4 10 | 9 no 5th
(mode 2) 4: 0 2 8 10 |
(mode 3) 6: 0 6 8 10 |
• Dechromaticised but Keep 0       0 2 4 6 (unchanged)
• (mode 0) 0: 0 2 4  6 | whole tone tetrachord
(mode 1) 2: 0 2 4 10 | 9 no 5th
(mode 2) 4: 0 2 8 10 |
(mode 3) 6: 0 6 8 10 |
• Dechromaticised but Keep 0 7     N/A
• Dechromaticised but Keep 0 3 4 7     0 2 3 4 6
• (mode 0) 0: 0 2 3  4  6 |
(mode 1) 2: 0 1 2  4 10 |
(mode 2) 3: 0 1 3  9 11 | mM13b9 no 5th, 11th
(mode 3) 4: 0 2 8 10 11 |
(mode 4) 6: 0 6 8  9 10 |

• 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 2 3 4 6 = 0: 0 2 3 4 6 = 2: 0 1 2 4 10 = 3: 0 1 3 9 11 = 4: 0 2 8 10 11 = 6: 0 6 8 9 10 1 2 2 0 1 2 4 10 = 0: 0 1 2 4 10 = 1: 0 1 3 9 11 = 2: 0 2 8 10 11 = 4: 0 6 8 9 10 = 10: 0 2 3 4 6 1 3 3 0 1 3 9 11 = 0: 0 1 3 9 11 = 1: 0 2 8 10 11 = 3: 0 6 8 9 10 = 9: 0 2 3 4 6 = 11: 0 1 2 4 10

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
2 =  2 =  2:  0
3 =  3 =  3:  0
4 =  4 =  4:  0
6 =  6 =  6:  0

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

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

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

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

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

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