Modal System: 0 1 3 5 8 10

• T	Geometric x7	Spectral x7	Geometric x1	Spectral x1	Chord Types Sorted By Rootedness
  0					1.775(mode 1)1:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 4)8:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 5)10:0 2 3 5 7 10 |m11    .933(mode 2)3:0 2 5 7 9 10 |    .708(mode 3)5:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 0)0:0 1 3 5 8 10 |
  7					1.775(mode 4)8:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 1)3:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 2)5:0 2 3 5 7 10 |m11    .933(mode 5)10:0 2 5 7 9 10 |    .708(mode 0)0:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 3)7:0 1 3 5 8 10 |
  2					1.775(mode 2)3:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 5)10:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 0)0:0 2 3 5 7 10 |m11    .933(mode 3)5:0 2 5 7 9 10 |    .708(mode 4)7:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 1)2:0 1 3 5 8 10 |
  9					1.775(mode 5)10:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 2)5:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 3)7:0 2 3 5 7 10 |m11    .933(mode 0)0:0 2 5 7 9 10 |    .708(mode 1)2:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 4)9:0 1 3 5 8 10 |
  4					1.775(mode 3)5:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 0)0:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 1)2:0 2 3 5 7 10 |m11    .933(mode 4)7:0 2 5 7 9 10 |    .708(mode 5)9:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 2)4:0 1 3 5 8 10 |
  11					1.775(mode 0)0:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 3)7:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 4)9:0 2 3 5 7 10 |m11    .933(mode 1)2:0 2 5 7 9 10 |    .708(mode 2)4:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 5)11:0 1 3 5 8 10 |
  6					1.775(mode 3)7:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 0)2:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 1)4:0 2 3 5 7 10 |m11    .933(mode 4)9:0 2 5 7 9 10 |    .708(mode 5)11:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 2)6:0 1 3 5 8 10 |
  1					1.775(mode 1)2:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 4)9:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 5)11:0 2 3 5 7 10 |m11    .933(mode 2)4:0 2 5 7 9 10 |    .708(mode 3)6:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 0)1:0 1 3 5 8 10 |
  8					1.775(mode 4)9:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 1)4:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 2)6:0 2 3 5 7 10 |m11    .933(mode 5)11:0 2 5 7 9 10 |    .708(mode 0)1:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 3)8:0 1 3 5 8 10 |
  3					1.775(mode 2)4:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 5)11:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 0)1:0 2 3 5 7 10 |m11    .933(mode 3)6:0 2 5 7 9 10 |    .708(mode 4)8:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 1)3:0 1 3 5 8 10 |
  10					1.775(mode 5)11:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 2)6:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 3)8:0 2 3 5 7 10 |m11    .933(mode 0)1:0 2 5 7 9 10 |    .708(mode 1)3:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 4)10:0 1 3 5 8 10 |
  5					1.775(mode 3)6:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack   1.225(mode 0)1:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form   1.067(mode 1)3:0 2 3 5 7 10 |m11    .933(mode 4)8:0 2 5 7 9 10 |    .708(mode 5)10:0 3 5 7 8 10 |m7b13 no 9th    .158(mode 2)5:0 1 3 5 8 10 |

Modal System Fun Facts

0 1 3 5 8 10
• Subset of Diatonic Modal System
• Inversionally Symmetrical
• Subset of Dorian Blues Scale
• Harmonic adjacency = 1 (maximum).

All Transpositions
• +0= 0 1 3 5  8 10 |
  +1= 1 2 4 6  9 11 |
  +2= 0 2 3 5  7 10 |m11
  +3= 1 3 4 6  8 11 |
  +4= 0 2 4 5  7  9 |type C all-combinatorial hexachord prime form
  +5= 1 3 5 6  8 10 |
  +6= 2 4 6 7  9 11 |
  +7= 0 3 5 7  8 10 |m7b13 no 9th
  +8= 1 4 6 8  9 11 |
  +9= 0 2 5 7  9 10 |
  +10= 1 3 6 8 10 11 |
  +11= 0 2 4 7  9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack
  

Modes:
• (mode 0) 0:  0 1 3 5 8 10 |                                                                                                                                                              
  (mode 1) 1:  0 2 4 7 9 11 | M13 no 11th = Guidonian hexachord = 6-note 5ths stack
  (mode 2) 3:  0 2 5 7 9 10 |                                                      
  (mode 3) 5:  0 3 5 7 8 10 | m7b13 no 9th                                          
  (mode 4) 8:  0 2 4 5 7  9 | type C all-combinatorial hexachord prime form        
  (mode 5) 10: 0 2 3 5 7 10 | m11                                                  
  

Modes Sorted by Rootedness:
•   1.775(mode 1)1:0 2 4 7 9 11 |M13 no 11th = Guidonian hexachord = 6-note 5ths stack
    1.225(mode 4)8:0 2 4 5 7  9 |type C all-combinatorial hexachord prime form
    1.067(mode 5)10:0 2 3 5 7 10 |m11
     .933(mode 2)3:0 2 5 7 9 10 |
     .708(mode 3)5:0 3 5 7 8 10 |m7b13 no 9th
     .158(mode 0)0:0 1 3 5 8 10 |