# Chord Type: 0 2 4 7

## 0 2 4 7 = add9 = Mu chord

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 2 4 7
• Subset of Ionian Mode (0 2 4 5 7 9 11)
• Subset of Lydian Mode (0 2 4 6 7 9 11)
• Subset of Mixolydian Mode (0 2 4 5 7 9 10)

## Modal System Fun Facts

0 2 4 7
• Subset of Diatonic 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:                   4-17
Forte Number:                    4-22
Forte Prime Form:                [0,2,4,7]
Zeitler Scale Name:
Ian Ring's Scale Page 149

Root Reference:                  0 2 4 7
Tone Stacking:                   0 2 2 3
Interval Stacking:               2 2 3 5
Binary:                          1 0 1 0 1 0 0 1 0 0 0 0
Decimal Value:                   149

Interval Vector:                 0 2 1 1 2 0
Inversional Symmetry:            no
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.417
Harmonic Adjacency (0-1):        0.917
Modal-system-invariant under multiplication by: 1
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 2 4  7 |add9 = Mu chord
+1= 1 3 5  8 |
+2= 2 4 6  9 |
+3= 3 5 7 10 |
+4= 4 6 8 11 |
+5= 0 5 7  9 |
+6= 1 6 8 10 |
+7= 2 7 9 11 |
+8= 0 3 8 10 |
+9= 1 4 9 11 |
+10= 0 2 5 10 |
+11= 1 3 6 11 |
Modes of Chord Type:
• (mode 0) 0: 0 2 4  7 | add9 = Mu chord
(mode 1) 2: 0 2 5 10 |
(mode 2) 4: 0 3 8 10 |
(mode 3) 7: 0 5 7  9 |
Modes of Chord Type Sorted by Rootedness:
•   1.792(mode 0)0:0 2 4  7 |add9 = Mu chord
.933(mode 3)7:0 5 7  9 |
.708(mode 2)4:0 3 8 10 |
.500(mode 1)2:0 2 5 10 |
Inversion at 0:               0 5 8 10
• (mode 0) 0:  0 5 8 10 |
(mode 1) 5:  0 3 5  7 | m add 11
(mode 2) 8:  0 2 4  9 |
(mode 3) 10: 0 2 7 10 | 9 no 3rd = m9 no 3rd
Times 7:                      0 1 2 4
• (mode 0) 0: 0 1  2  4 |
(mode 1) 1: 0 1  3 11 | Mm7b9 no 5th
(mode 2) 2: 0 2 10 11 |
(mode 3) 4: 0 8  9 10 |
Times 5:                      0 8 10 11
• (mode 0) 0:  0 8 10 11 |
(mode 1) 8:  0 2  3  4 |
(mode 2) 10: 0 1  2 10 |
(mode 3) 11: 0 1  9 11 |

Modal System:                     0 2 4 7 from root(s) 0 | "add9 modal system"
Modes of Modal System:
• (mode 0) 0: 0 2 4  7 | add9 = Mu chord
(mode 1) 2: 0 2 5 10 |
(mode 2) 4: 0 3 8 10 |
(mode 3) 7: 0 5 7  9 |

Complement:                    1 3 5 6 8 9 10 11
• (mode 0) 1:  0 2 4 5 7 8  9 10 | mela 25 Mararanjani
(mode 1) 3:  0 2 3 5 6 7  8 10 | Aeolean blues
(mode 2) 5:  0 1 3 4 5 6  8 10 |
(mode 3) 6:  0 2 3 4 5 7  9 11 | ionian & melodic minor
(mode 4) 8:  0 1 2 3 5 7  9 10 |
(mode 5) 9:  0 1 2 4 6 8  9 11 |
(mode 6) 10: 0 1 3 5 7 8 10 11 |
(mode 7) 11: 0 2 4 6 7 9 10 11 |
All but the root (subchroma complement of 0): 2 4 7
• (mode 0) 2: 0 2  5 |
(mode 1) 4: 0 3 10 | m7 no 5th
(mode 2) 7: 0 7  9 |

## 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: 0 2 4
• (mode 0) 0: 0 2  4 | major trichord
(mode 1) 2: 0 2 10 |
(mode 2) 4: 0 8 10 |
• Alt-Dechromaticised but Keep 0       0 2 4 (unchanged)
• (mode 0) 0: 0 2  4 | major trichord
(mode 1) 2: 0 2 10 |
(mode 2) 4: 0 8 10 |
• Alt-Dechromaticised but Keep 0 7     0 2 4 7
• (mode 0) 0: 0 2 4  7 | add9 = Mu chord
(mode 1) 2: 0 2 5 10 |
(mode 2) 4: 0 3 8 10 |
(mode 3) 7: 0 5 7  9 |
• Alt-Dechromaticised but Keep 0 3 4 7     0 2 4 7
• (mode 0) 0: 0 2 4  7 | add9 = Mu chord
(mode 1) 2: 0 2 5 10 |
(mode 2) 4: 0 3 8 10 |
(mode 3) 7: 0 5 7  9 |

## Bright Layer Decomposition

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

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
2 =  2 =  2:  0
4 =  4 =  4:  0
7 =  7 =  7:  0

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

subchroma modal system: 0 2
0  4 =  0  4 =  0:  0  4     4:  0  8
2  7 =  2  7 =  2:  0  5     7:  0  7
4  0 =  0  4 =  0:  0  4     4:  0  8
7  2 =  2  7 =  2:  0  5     7:  0  7

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

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