1-7-13-15 by 7/5 bihexany

A 13-limit Bihexany. This creates a scale of 1 15/14 91/80 39/32 13/10 21/16 7/5 3/2 13/8 195/112 13/7 15/8, with steps of 15/14 637/600 15/14 16/15 105/104 16/15 15/14 13/12 15/14 16/15 105/104 16/15. This is a simpler way of expanding the base hexany out than the 1-7-13-15 by 140/99 bihexany. While it produces a less even scale, it does have the advantage of several perfect and marvelous fifths, including one above the root note, which gives the scale a clearer tonal centre.

Circle diagram.

! 1-7-13-15_by_7/5_Bihexany.scl
!
1 7 13 15 by 7/5 2-combination Bihexany
12
!
119.442
223.039
342.482
454.213
470.781
582.512
701.955
840.527
959.970
1071.701
1088.268
1200