3-5-7-9 by 5/4 bihexany

The simplest no-2’s Hexany, offset by the simplest interval that expands it out to a bihexany with no repeated notes. This creates a scale of 1 21/20 9/8 7/6 5/4 21/16 7/5 35/24 3/2 7/4 9/5 15/8 2/1, with steps of 21/20 15/14 28/27 15/14 21/20 16/15 25/24 36/35 7/6 36/35 25/24 16/15. The largest step is only slightly reduced in size, leaving a substantial gap in one side of the scale, but the rest of it is filled with simple ratios due to the cancelling out of factors, including 6 perfect fifths to build stable chords upon, giving it plenty of compositional possibilities.

Circle diagram.

! 3-5-7-9_by_5/4_Bihexany.scl
!
3 5 7 9 by 5/4 2-combination Bihexany
12
!
84.467
203.910
266.871
386.313
470.781
582.512
653.184
701.955
968.825
1017.596
1088.268
1200