Modal System: 0 1 4 6 7 10

• T	Geometric x7	Spectral x7	Geometric x1	Spectral x1	Chord Types Sorted By Rootedness
  0					1.575(mode 0)0:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 3)6:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 2)4:0 2 3 6 8  9 |    .308(mode 5)10:0 2 3 6 8  9 |    .300(mode 1)1:0 3 5 6 9 11 |    .300(mode 4)7:0 3 5 6 9 11 |
  7					1.575(mode 0)1:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 3)7:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 2)5:0 2 3 6 8  9 |    .308(mode 5)11:0 2 3 6 8  9 |    .300(mode 1)2:0 3 5 6 9 11 |    .300(mode 4)8:0 3 5 6 9 11 |
  2					1.575(mode 1)2:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 4)8:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 0)0:0 2 3 6 8  9 |    .308(mode 3)6:0 2 3 6 8  9 |    .300(mode 2)3:0 3 5 6 9 11 |    .300(mode 5)9:0 3 5 6 9 11 |
  9					1.575(mode 1)3:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 4)9:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 0)1:0 2 3 6 8  9 |    .308(mode 3)7:0 2 3 6 8  9 |    .300(mode 2)4:0 3 5 6 9 11 |    .300(mode 5)10:0 3 5 6 9 11 |
  4					1.575(mode 1)4:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 4)10:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 0)2:0 2 3 6 8  9 |    .308(mode 3)8:0 2 3 6 8  9 |    .300(mode 2)5:0 3 5 6 9 11 |    .300(mode 5)11:0 3 5 6 9 11 |
  11					1.575(mode 2)5:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 5)11:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 1)3:0 2 3 6 8  9 |    .308(mode 4)9:0 2 3 6 8  9 |    .300(mode 0)0:0 3 5 6 9 11 |    .300(mode 3)6:0 3 5 6 9 11 |
  6					1.575(mode 0)0:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 3)6:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 2)4:0 2 3 6 8  9 |    .308(mode 5)10:0 2 3 6 8  9 |    .300(mode 1)1:0 3 5 6 9 11 |    .300(mode 4)7:0 3 5 6 9 11 |
  1					1.575(mode 0)1:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 3)7:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 2)5:0 2 3 6 8  9 |    .308(mode 5)11:0 2 3 6 8  9 |    .300(mode 1)2:0 3 5 6 9 11 |    .300(mode 4)8:0 3 5 6 9 11 |
  8					1.575(mode 1)2:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 4)8:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 0)0:0 2 3 6 8  9 |    .308(mode 3)6:0 2 3 6 8  9 |    .300(mode 2)3:0 3 5 6 9 11 |    .300(mode 5)9:0 3 5 6 9 11 |
  3					1.575(mode 1)3:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 4)9:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 0)1:0 2 3 6 8  9 |    .308(mode 3)7:0 2 3 6 8  9 |    .300(mode 2)4:0 3 5 6 9 11 |    .300(mode 5)10:0 3 5 6 9 11 |
  10					1.575(mode 1)4:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 4)10:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 0)2:0 2 3 6 8  9 |    .308(mode 3)8:0 2 3 6 8  9 |    .300(mode 2)5:0 3 5 6 9 11 |    .300(mode 5)11:0 3 5 6 9 11 |
  5					1.575(mode 2)5:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord   1.575(mode 5)11:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord    .308(mode 1)3:0 2 3 6 8  9 |    .308(mode 4)9:0 2 3 6 8  9 |    .300(mode 0)0:0 3 5 6 9 11 |    .300(mode 3)6:0 3 5 6 9 11 |

Modal System Fun Facts

0 1 4 6 7 10
• Subset of Diminished Scale
• Transpositionally Symmetrical

All Transpositions
• +0= 0 1 4 6  7 10 |M#11b9 = Tritone scale = Petrushka chord
  +1= 1 2 5 7  8 11 |
  +2= 0 2 3 6  8  9 |
  +3= 1 3 4 7  9 10 |
  +4= 2 4 5 8 10 11 |
  +5= 0 3 5 6  9 11 |
  +6= 0 1 4 6  7 10 |M#11b9 = Tritone scale = Petrushka chord
  +7= 1 2 5 7  8 11 |
  +8= 0 2 3 6  8  9 |
  +9= 1 3 4 7  9 10 |
  +10= 2 4 5 8 10 11 |
  +11= 0 3 5 6  9 11 |
  

Modes:
• (mode 0) 0:  0 1 4 6 7 10 | M#11b9 = Tritone scale = Petrushka chord
  (mode 1) 1:  0 3 5 6 9 11 |                                                                                                                                                
  (mode 2) 4:  0 2 3 6 8  9 |                                                                                                                                                
  (mode 3) 6:  0 1 4 6 7 10 | M#11b9 = Tritone scale = Petrushka chord
  (mode 4) 7:  0 3 5 6 9 11 |                                                                                                                                                
  (mode 5) 10: 0 2 3 6 8  9 |                                                                                                                                                
  

Modes Sorted by Rootedness:
•   1.575(mode 0)0:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord
    1.575(mode 3)6:0 1 4 6 7 10 |M#11b9 = Tritone scale = Petrushka chord
     .308(mode 2)4:0 2 3 6 8  9 |
     .308(mode 5)10:0 2 3 6 8  9 |
     .300(mode 1)1:0 3 5 6 9 11 |
     .300(mode 4)7:0 3 5 6 9 11 |