5-7-9-15 hexany

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Circle diagram.

A 15-odd-limit Hexany. This creates a scale of 1 15/14 9/7 3/2 9/5 27/14 2/1, with steps of 15/14 6/5 7/6 6/5 15/14 28/27. This is a detemper of starling temperament, a near equal chain of minor thirds with a cluster of smaller intervals at one end. It has two perfect fifths and both of those have a consonant septimal third between them, giving it decent compositional possibility, but because of the way it clusters, expanding it out to a bihexany without introducing microtonal intervals is challenging.

! 5-7-9-15_Hexany.scl
!
5 7 9 15 2-combination Hexany
6
!
119.442
435.084
701.955
1017.596
1137.039
1200

Suggested keyboard mapping: C Db E G Bb B C