# Modal System: 0 2 5 7

## "open tetrachord modal system"

(mode 0) 0: 0 2 5  7 |
(mode 1) 2: 0 3 5 10 | m11 no 5th,7th,9th = 4-note 4ths stack = minor pentatonic no 5th
(mode 2) 5: 0 2 7  9 | 4-note 5ths stack
(mode 3) 7: 0 5 7 10 | 7sus4

## Modal System Fun Facts

0 2 5 7
• Subset of Diatonic Modal System
• Subset of Harmonic Minor Modal System
• Subset of Melodic Minor Modal System
• Inversionally Symmetrical
• Subset of Dorian Blues Scale
• Harmonic adjacency = 1 (maximum).
• Subset of Harmonic Major Modal System

## General Statistics

Cardinality:                     4
Forte Number:                    4-23
Forte Prime Form:                [0,2,5,7]

Interval Stacking:               2 3 2 5
Interval Vector:                 0 2 1 0 3 0

Inversional Symmetry:            yes (axes of symmetry: 3.5 9.5)
Transpositional Symmetry:        no
Modal-system-invariant under multiplication by: 1 11

All Transpositions
• +0= 0 2 5  7 |
+1= 1 3 6  8 |
+2= 2 4 7  9 |
+3= 3 5 8 10 |
+4= 4 6 9 11 |
+5= 0 5 7 10 |7sus4
+6= 1 6 8 11 |
+7= 0 2 7  9 |4-note 5ths stack
+8= 1 3 8 10 |
+9= 2 4 9 11 |
+10= 0 3 5 10 |m11 no 5th,7th,9th = 4-note 4ths stack = minor pentatonic no 5th
+11= 1 4 6 11 |
Modes:
• (mode 0) 0: 0 2 5  7 |
(mode 1) 2: 0 3 5 10 | m11 no 5th,7th,9th = 4-note 4ths stack = minor pentatonic no 5th
(mode 2) 5: 0 2 7  9 | 4-note 5ths stack
(mode 3) 7: 0 5 7 10 | 7sus4
Modes Sorted by Rootedness: