# Chord Type: 0 1 4 5 7

## 0 1 4 5 7 = phrygian major pentachord

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 3 8 9
• Subset of Harmonic Minor Modal System
• Subset of Dorian Blues Scale
• Subset of Harmonic Major Modal System

## General Statistics

Cardinality:                     5
Jordan Number:                   5-30
Forte Number:                    5-z18
Forte Prime Form:                [0,1,4,5,7]
Zeitler Scale Name:
Ian Ring's Scale Page 179

Root Reference:                  0 1 4 5 7
Tone Stacking:                   0 1 3 1 2
Interval Stacking:               1 3 1 2 5
Binary:                          1 1 0 0 1 1 0 1 0 0 0 0
Decimal Value:                   179

Interval Vector:                 2 1 2 2 2 1
Inversional Symmetry:            no
Transpositional Symmetry:        no
Modal-system-invariant under multiplication by: 1
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 1 4  5  7 |phrygian major pentachord
+1= 1 2 5  6  8 |
+2= 2 3 6  7  9 |
+3= 3 4 7  8 10 |
+4= 4 5 8  9 11 |
+5= 0 5 6  9 10 |
+6= 1 6 7 10 11 |
+7= 0 2 7  8 11 |
+8= 0 1 3  8  9 |
+9= 1 2 4  9 10 |
+10= 2 3 5 10 11 |
+11= 0 3 4  6 11 |M7b5#9
Modes of Chord Type:
• (mode 0) 0: 0 1 4 5  7 | phrygian major pentachord
(mode 1) 1: 0 3 4 6 11 | M7b5#9
(mode 2) 4: 0 1 3 8  9 |
(mode 3) 5: 0 2 7 8 11 |
(mode 4) 7: 0 5 6 9 10 |
Modes of Chord Type Sorted by Rootedness:
•   1.283(mode 0)0:0 1 4 5  7 |phrygian major pentachord
1.200(mode 1)1:0 3 4 6 11 |M7b5#9
1.108(mode 3)5:0 2 7 8 11 |
.550(mode 2)4:0 1 3 8  9 |
.225(mode 4)7:0 5 6 9 10 |
Inversion at 0:               0 5 7 8 11
• (mode 0) 0:  0 5 7 8 11 |
(mode 1) 5:  0 2 3 6  7 | lydian minor pentachord
(mode 2) 7:  0 1 4 5 10 |
(mode 3) 8:  0 3 4 9 11 | M13#9 no 5th, 11th
(mode 4) 11: 0 1 6 8  9 |
Times 7:                      0 1 4 7 11
• (mode 0) 0:  0 1 4  7 11 | M7b9
(mode 1) 1:  0 3 6 10 11 | mM7b5#6
(mode 2) 4:  0 3 7  8  9 |
(mode 3) 7:  0 4 5  6  9 |
(mode 4) 11: 0 1 2  5  8 |
Times 5:                      0 1 5 8 11
• (mode 0) 0:  0 1 5  8 11 |
(mode 1) 1:  0 4 7 10 11 | M7#6
(mode 2) 5:  0 3 6  7  8 |
(mode 3) 8:  0 3 4  5  9 |
(mode 4) 11: 0 1 2  6  9 |

Modal System:                     0 1 3 8 9 from root(s) 4 | "phrygian major pentachord modal system"
Modes of Modal System:
• (mode 0) 0: 0 1 3 8  9 |
(mode 1) 1: 0 2 7 8 11 |
(mode 2) 3: 0 5 6 9 10 |
(mode 3) 8: 0 1 4 5  7 | phrygian major pentachord
(mode 4) 9: 0 3 4 6 11 | M7b5#9

Complement:                    2 3 6 8 9 10 11
• (mode 0) 2:  0 1 4 6 7  8  9 | mela 49 Dhavalambari
(mode 1) 3:  0 3 5 6 7  8 11 |
(mode 2) 6:  0 2 3 4 5  8  9 |
(mode 3) 8:  0 1 2 3 6  7 10 |
(mode 4) 9:  0 1 2 5 6  9 11 |
(mode 5) 10: 0 1 4 5 8 10 11 | M#13#5b5 = enigmatic ascending
(mode 6) 11: 0 3 4 7 9 10 11 |
All but the root (subchroma complement of 0): 1 4 5 7
• (mode 0) 1: 0 3 4  6 | Mb5 add #9
(mode 1) 4: 0 1 3  9 |
(mode 2) 5: 0 2 8 11 |
(mode 3) 7: 0 6 9 10 |

## 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 4 5 7
• (mode 0) 1: 0 3 4  6 | Mb5 add #9
(mode 1) 4: 0 1 3  9 |
(mode 2) 5: 0 2 8 11 |
(mode 3) 7: 0 6 9 10 |
• Alt-Dechromaticised but Keep 0       0 1 4 5 7
• (mode 0) 0: 0 1 4 5  7 | phrygian major pentachord
(mode 1) 1: 0 3 4 6 11 | M7b5#9
(mode 2) 4: 0 1 3 8  9 |
(mode 3) 5: 0 2 7 8 11 |
(mode 4) 7: 0 5 6 9 10 |
• Alt-Dechromaticised but Keep 0 7     0 1 4 5 7
• (mode 0) 0: 0 1 4 5  7 | phrygian major pentachord
(mode 1) 1: 0 3 4 6 11 | M7b5#9
(mode 2) 4: 0 1 3 8  9 |
(mode 3) 5: 0 2 7 8 11 |
(mode 4) 7: 0 5 6 9 10 |
• Alt-Dechromaticised but Keep 0 3 4 7     0 1 4 5 7
• (mode 0) 0: 0 1 4 5  7 | phrygian major pentachord
(mode 1) 1: 0 3 4 6 11 | M7b5#9
(mode 2) 4: 0 1 3 8  9 |
(mode 3) 5: 0 2 7 8 11 |
(mode 4) 7: 0 5 6 9 10 |

## Bright Layer Decomposition

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

## Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
1 =  1 =  1:  0
4 =  4 =  4:  0
5 =  5 =  5:  0
7 =  7 =  7:  0

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

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

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

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

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