1-3-5-7 by 16/15 bihexany

Circle diagram.

Circle diagram. (rotated)

The simplest possible Hexany, offset by a 5-limit semitone. This creates a scale of 1 16/15 7/6 56/45 5/4 4/3 35/24 14/9 5/3 7/4 16/9 28/15 2/1, with steps of 16/15 35/32 16/15 225/224 16/15 35/32 16/15 15/14 21/20 64/63 21/20 15/14. This does not have a 3/2 above the root, but does have 6 other perfect fifths, plus several imperfect ones of various flavours on top of that thanks to the comma steps of 64/63 and 225/224, making it harmonically excellent, but not melodically optimal for its size. It is identical to the 3-5-7-15 stellated hexany, but using a different mode.

! 1-3-5-7_by_16/15_Bihexany.scl
!
1 3 5 7 by 16/15 2-combination bihexany
12
!
111.731
266.871
386.313
470.781
498.044
653.184
764.915
884.358
968.825
996.089
1080.557
1200