1-3-5-13 by 18/13 bihexany

A 13-odd-limit Hexany. This creates a scale of 1 13/12 9/8 15/13 5/4 65/48 18/13 3/2 13/8 5/3 45/26 15/8 2/1, with steps of 13/12 27/26 40/39 13/12 13/12 864/845 13/12 13/12 40/39 27/26 13/12 16/15. As the base hexany has factors of 13 in half its notes, this degree of offset works well to cancel them out and produce other simple ratios, including a full diatonic scale, albeit with a slightly sharpened fourth. 6 notes have perfect fifths above them, 2 have wolf fifths that are flat by 65/64 and one has a slightly milder wolf flat by 81/80 and all are mapped to 7 steps above their roots, making it intuitive to play despite the quite xenharmonic semiquartal intervals it contains.

Circle diagram.

! 1-3-5-13_by_18/13_Bihexany.scl
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1 3 5 13 by 18/13 2-combination Bihexany
12
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138.572
203.910
247.741
386.313
524.886
563.382
701.955
840.527
884.358
949.696
1088.268
1200