1-7-9-17 hexany

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Circle diagram.

A 17-odd-limit Hexany. This creates a scale of 1 17/16 9/8 17/14 9/7 153/112 2/1, with steps of 17/16 18/17 68/63 18/17 17/16 224/153. With no perfect fifths and a massive gap on one side, this is a highly xenharmonic and lopsided scale that does not approximate common practice music at all. Turning it into a bihexany using an interval near 600 cents will fill the gap, but still contain multiple obviously xenharmonic steps.

! 1-7-9-17_Hexany.scl
!
1 7 9 17 2-combination Hexany
6
!
104.955
203.910
336.129
435.084
540.039
1200

Suggested keyboard mapping: C Db D Eb E F C