1-3-5-7 by 64/35 bihexany

The simplest possible Hexany, offset by a neutral semitone. This creates a scale of 1 16/15 8/7 7/6 5/4 4/3 35/24 32/21 8/5 5/3 7/4 64/35 2/1, with steps of 16/15 15/14 49/48 15/14 16/15 35/32 256/245 21/20 25/24 21/20 256/245 35/32. This does not have a 3/2 above the root, but does have 5 other perfect fifths, all mapped to 7 steps above their roots and when rotated to the right mode covers a substantial part of the harmonic series, including being just 385/384 out from 11/8. Its smallest step is also larger than most 12 note bihexanies derived from this hexany, making it quite melodically effective as well.

Circle diagram.
Circle diagram. (rotated)
! 1-3-5-7_by_64/35_Bihexany.scl
!
1 3 5 7 by 64/35 2-combination bihexany
12
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111.731
231.174
266.871
386.313
498.044
653.184
729.219
813.686
884.358
968.825
1044.860
1200