1-5-7-15 hexany

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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 15/14 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.

Circle diagram.
! 1-5-7-15_Hexany.scl
!
1 5 7 15 2-combination Hexany
6
!
470.781
582.512
701.955
968.825
1088.268
1200

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