1-5-7-15 hexany

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Circle diagram.

A 7-limit Hexany. This creates a scale of 1 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/16 16/15 15/14 7/6 14/15 16/15. This is two clusters with a moderate gap on one side and a large gap on the other, but a quite concordant one, containing two perfect fifths, one that is flat by a marvel comma and one that is sharp by a septimal comma. This means there is no bihexany that can create a truly even scale out of this hexany, but there are still several that let you construct complex chords and have multiple successive chains of 3/2's.

! 1-5-7-15_Hexany.scl
!
1 5 7 15 2-combination Hexany
6
!
21/16
7/5
3/2
7/4
15/8
2/1

Suggested keyboard mapping: C F F# G A# B C