Chord Type: 0 3 4 7 8

0 3 4 7 8

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This Chord Type Chord Diagrams in 4ths Tuning
This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3)

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The information on this page uses the Jordan Chromatic System

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Chord Type Fun Facts

0 3 4 7 8
• Subset of Augmented Scale (0 3 4 7 8 11)

Modal System Fun Facts

0 1 4 5 9
• Subset of Augmented Scale
• Subset of Dorian Blues Scale
• Subset of Harmonic Major Modal System

General Statistics

Cardinality:                     5
Jordan Number:                   5-49
Forte Number:                    5-21
Forte Prime Form:                [0,1,4,5,8]
Zeitler Scale Name:              Laritonic
Ian Ring's Scale Page 409

Root Reference:                  0 3 4 7 8
Tone Stacking:                   0 3 1 3 1
Interval Stacking:               3 1 3 1 4
Binary:                          1 0 0 1 1 0 0 1 1 0 0 0
Decimal Value:                   409

Interval Vector:                 2 0 2 4 2 0
Inversional Symmetry:            no
Transpositional Symmetry:        no
Melodic Adjacency (0-1):         0.333
Harmonic Adjacency (0-1):        0.333
Modal-system-invariant under multiplication by: 1 5
Modal System Balanced:           no

All Transpositions of Chord Type:
• +0= 0 3 4  7  8 |
+1= 1 4 5  8  9 |
+2= 2 5 6  9 10 |
+3= 3 6 7 10 11 |
+4= 0 4 7  8 11 |M7/b6
+5= 0 1 5  8  9 |
+6= 1 2 6  9 10 |
+7= 2 3 7 10 11 |
+8= 0 3 4  8 11 |M7#5#9
+9= 0 1 4  5  9 |
+10= 1 2 5  6 10 |
+11= 2 3 6  7 11 |
Modes of Chord Type:
• (mode 0) 0: 0 3 4 7  8 |
(mode 1) 3: 0 1 4 5  9 |
(mode 2) 4: 0 3 4 8 11 | M7#5#9
(mode 3) 7: 0 1 5 8  9 |
(mode 4) 8: 0 4 7 8 11 | M7/b6
Modes of Chord Type Sorted by Rootedness:
Inversion at 0:               0 4 5 8 9
• (mode 0) 0: 0 4 5 8  9 |
(mode 1) 4: 0 1 4 5  8 |
(mode 2) 5: 0 3 4 7 11 | M7#9
(mode 3) 8: 0 1 4 8  9 |
(mode 4) 9: 0 3 7 8 11 | mM7/b6
Times 7:                      0 1 4 8 9
• (mode 0) 0: 0 1 4 8  9 |
(mode 1) 1: 0 3 7 8 11 | mM7/b6
(mode 2) 4: 0 4 5 8  9 |
(mode 3) 8: 0 1 4 5  8 |
(mode 4) 9: 0 3 4 7 11 | M7#9
Times 5:                      0 3 4 8 11
• (mode 0) 0:  0 3 4 8 11 | M7#5#9
(mode 1) 3:  0 1 5 8  9 |
(mode 2) 4:  0 4 7 8 11 | M7/b6
(mode 3) 8:  0 3 4 7  8 |
(mode 4) 11: 0 1 4 5  9 |

Modal System:                     0 1 4 5 9 from root(s) 3 | "M7#5#9 modal system"
Modes of Modal System:
• (mode 0) 0: 0 1 4 5  9 |
(mode 1) 1: 0 3 4 8 11 | M7#5#9
(mode 2) 4: 0 1 5 8  9 |
(mode 3) 5: 0 4 7 8 11 | M7/b6
(mode 4) 9: 0 3 4 7  8 |

Complement:                    1 2 5 6 9 10 11
• (mode 0) 1:  0 1 4 5 8  9 10 | 13#5b9
(mode 1) 2:  0 3 4 7 8  9 11 |
(mode 2) 5:  0 1 4 5 6  8  9 |
(mode 3) 6:  0 3 4 5 7  8 11 | M7b13#9 = houzam = mela 33 Gangeyabhushani
(mode 4) 9:  0 1 2 4 5  8  9 |
(mode 5) 10: 0 1 3 4 7  8 11 |
(mode 6) 11: 0 2 3 6 7 10 11 | mM#13#11 = mela 60 Neetimati = 2367AB & m7b5 = 2367AB & m7
All but the root (subchroma complement of 0): 3 4 7 8
• (mode 0) 3: 0 1 4  5 | Greek chromatic tetrachord
(mode 1) 4: 0 3 4 11 | M7#9 no 5th
(mode 2) 7: 0 1 8  9 |
(mode 3) 8: 0 7 8 11 |

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 3 4 7 8 = 0: 0 3 4 7 8 = 3: 0 1 4 5 9 = 4: 0 3 4 8 11 = 7: 0 1 5 8 9 = 8: 0 4 7 8 11 1 4 4 0 3 4 8 11 = 0: 0 3 4 8 11 = 3: 0 1 5 8 9 = 4: 0 4 7 8 11 = 8: 0 3 4 7 8 = 11: 0 1 4 5 9 1 8 8 0 4 7 8 11 = 0: 0 4 7 8 11 = 4: 0 3 4 7 8 = 7: 0 1 4 5 9 = 8: 0 3 4 8 11 = 11: 0 1 5 8 9

Bright Layer Composition

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

subchroma modal system: 0
0 =  0 =  0:  0
3 =  3 =  3:  0
4 =  4 =  4:  0
7 =  7 =  7:  0
8 =  8 =  8:  0

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

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

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

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

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

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