3-11-13-15 by 24/17 bihexany

A 17-limit bihexany. This creates a scale of 1 195/187 13/12 13/11 5/4 15/11 24/17 65/44 26/17 312/187 30/17 360/187 2/1, with steps of 195/187 187/180 12/11 55/52 12/11 88/85 1105/1056 88/85 12/11 55/52 12/11 187/180. While it does not have any perfect fifths, this is pretty much the optimal way to expand the base hexany outward on a melodic level, and does cancel out at least some of the factors to produce simpler intervals as well, although others remain complex. It does have one fifth above the Ab which is only flat by 936/935, which provides probably the clearest point of stability.

Circle diagram.

! 3-11-13-15_by_24_17-Bihexany.scl
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3 11 13 15 by 24/17 2-combination Hexany
12
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72.523
138.572
289.209
386.313
536.950
596.999
675.523
735.572
886.209
983.313
1133.950
1200