1-5-9-17 hexany

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Circle diagram.

A 17-odd-limit Hexany. This creates a scale of 1 17/16 9/8 17/10 9/5 153/80 2/1, with steps of 17/16 18/17 68/45 18/17 17/16 160/153. With no perfect fifths, only one that falls within the diatonic range and a massive gap on one side, this is basically 6 semitone steps in a row, none of which are particularly xenharmonic sounding individually, but as there is nothing on the other side to create familiar chords with, the overall result is still quite hard to work with. Turning it into a bihexany using an interval near 600 cents is the easiest way to solve this problem.

! 1-5-9-17_Hexany.scl
!
1 5 9 17 2-combination Hexany
6
!
104.955
203.910
918.641
1017.596
1122.551
1200

Suggested keyboard mapping: C Db D A Bb B C