1-7-9-15 by 4/3 bihexany

Circle diagram.

A 7-limit Hexany. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 4/3 10/7 3/2 45/28 12/7 15/8 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 28/27 15/14 21/20 15/14 16/15 35/32 16/15. This expands the base hexany out in a way that provides the greatest number of simple intervals, including 8 perfect fifths and a rich choice of thirds above the root note, at the cost of still having some degree of clustering in the second quadrant of the scale.

! 1-7-9-15_by 4/3_Bihexany.scl
!
1 7 9 15 by 4/3 2-combination Bihexany
12
!
119.442
203.910
323.352
386.313
435.084
498.044
617.487
701.955
821.397
933.129
1088.268
1200