# Modal System: 0 1 5 7 10

## "Insen modal system = m6/9 modal system"

(mode 0) 0:  0 1 5 7 10 | Insenpo (Insen) = han iwato
(mode 1) 1:  0 4 6 9 11 |
(mode 2) 5:  0 2 5 7  8 | kokin joshi
(mode 3) 7:  0 3 5 6 10 | m11b5 no 9th
(mode 4) 10: 0 2 3 7  9 | m6/9 = akebono = Thai mode 1 (MSOFTW)

## Modal System Fun Facts

0 1 5 7 10
• Subset of Diatonic Modal System
• Subset of Harmonic Minor Modal System
• Subset of Melodic Minor Modal System
• Subset of Dorian Blues Scale
• Subset of Harmonic Major Modal System

## General Statistics

Cardinality:                     5
Forte Number:                    5-29
Forte Prime Form:                [0,1,3,6,8]

Interval Stacking:               1 4 2 3 2
Interval Vector:                 1 2 2 1 3 1

Inversional Symmetry:            no
Transpositional Symmetry:        no
Modal-system-invariant under multiplication by: 1

All Transpositions
• +0= 0 1 5  7 10 |Insenpo (Insen) = han iwato
+1= 1 2 6  8 11 |
+2= 0 2 3  7  9 |m6/9 = akebono = Thai mode 1 (MSOFTW)
+3= 1 3 4  8 10 |
+4= 2 4 5  9 11 |
+5= 0 3 5  6 10 |m11b5 no 9th
+6= 1 4 6  7 11 |
+7= 0 2 5  7  8 |kokin joshi
+8= 1 3 6  8  9 |
+9= 2 4 7  9 10 |
+10= 3 5 8 10 11 |
+11= 0 4 6  9 11 |
Modes:
• (mode 0) 0:  0 1 5 7 10 | Insenpo (Insen) = han iwato
(mode 1) 1:  0 4 6 9 11 |
(mode 2) 5:  0 2 5 7  8 | kokin joshi
(mode 3) 7:  0 3 5 6 10 | m11b5 no 9th
(mode 4) 10: 0 2 3 7  9 | m6/9 = akebono = Thai mode 1 (MSOFTW)
Modes Sorted by Rootedness: