1-5-15-17 by 16/11 bihexany

A 17-odd-limit Hexany. This creates a scale of 1 17/16 12/11 51/44 68/55 15/11 16/11 3/2 17/11 51/32 17/10 15/8 2/1, with steps of 17/16 192/187 17/16 16/15 75/68 16/15 33/32 34/33 33/32 16/15 75/68 16/15. As the base hexany has a gap of almost exactly 600 cents on one side, this is the optimal amount of offset to maximise the melodic capability of the scale, with no steps smaller than a quartertone or larger than 5/6ths of a tone. It has 4 perfect fifths, well positioned around the scale to provide points of stability, but no simple 5-limit chords, forcing you to get to grips with more exotic inframinor, neutral and ultramajor ones to get the most out of it.

Circle diagram.

! 1-5-15-17_by_16/11_Bihexany.scl
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1 5 15 17 by 16/11 2-combination Bihexany
12
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104.955
150.637
255.592
367.323
536.951
648.682
701.955
753.637
806.910
918.641
1088.268
1200