1-5-9-15 by 17/12 bihexany

A 17-limit bihexany. This creates a scale of 1 17/16 9/8 153/128 51/40 85/64 17/12 3/2 51/32 27/16 9/5 15/8 2/1, with steps of 17/16 18/17 17/16 16/15 25/24 16/15 18/17 17/16 18/17 16/15 25/24 16/15. As all the notes apart from the root in the base hexany have at least one power of three in the top, this is a good way to cancel some of them while also keeping intervals evenly spaced, resulting in a scale entirely composed of superparticular intervals with only 4 different step sizes that maps unambiguously to a 12edo keyboard. 6 of the notes have perfect fifths above them, 2 are sharp by 136/135, 2 are sharp by 256/255, 1 is flat by 51/50 and 1 is flat by 432/425. As it is comprised of chains of 5 semitone steps that average slightly larger than 12edo semitones, then a third tone, this is an unambiguous detemper of the 12 note mos scale of the 2.3.5.17 subgroup srutal_archagall temperament and music composed in that temperament can be converted to this scale and remain recognisable.

! 1-5-9-15_by_17/12_Bihexany.scl
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1 5 9 15 by 17/12 2-combination Bihexany
12
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104.955
203.910
308.865
420.596
491.269
603.000
701.955
806.910
905.865
1017.596
1088.268
1200