1-9-15-17 hexany

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Circle diagram.

A 17-odd-limit Hexany. This creates a scale of 1 17/16 5/3 85/48 15/8 17/9 2/1, with steps of 17/16 80/51 17/16 18/17 136/135 18/17. With a massive gap on one side covering nearly 2/3rds of the scale, this is highly xenharmonic despite 4 out of 6 steps being close in size to 12edo semitones and completely lacking in full chords. Even expanding it out to a bihexany will leave substantial gaps no matter where you place the offset interval.

! 1-9-15-17_Hexany.scl
!
1 9 15 17 2-combination Hexany
6
!
104.955
884.358
989.314
1088.268
1101.045
1200

Suggested keyboard mapping: C Db Ab A Bb B C.