1-5-11-15 by 40/33 bihexany

An 11-limit Bihexany. This creates a scale of 1 33/32 11/10 25/22 40/33 5/4 4/3 11/8 3/2 5/3 20/11 15/8 2/1, with steps of 33/32 16/15 125/121 16/15 33/32 16/15 33/32 12/11 10/9 12/11 33/32 16/15. This may seem like a complex interval to offset the base hexany by, but many of the ratios cancel out, making the offset the most complex ratio and putting a pure 5/4, 4/3 & 5/3 above the root, while making none of the single steps smaller than the already existing 33/32 one. 6 of the notes have perfect fifths above them and 3 more have imperfect but usable ones of approximately 720 cents, although as is often the case with these scales, not all of them are 7 steps above their root.

Circle diagram.

! 1-5-11-15_by_40/33_BiHexany.scl
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1 5 11 15 by 40/33 2-combination Hexany
12
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53.272
165.004
221.309
333.040
386.313
498.044
551.317
701.955
884.358
1034.995
1088.268
1200