5-7-9-13 hexany

A 13-odd-limit Hexany. This creates a scale of 1 9/7 13/10 117/70 9/5 13/7 2/1, with steps of 9/7 91/90 9/7 14/13 65/63 14/13. This has two clusters at opposite ends of the scale, separated by massive gaps. All intervals fall well between the cracks of the 12edo keyboard, making for an extremely xenharmonic hexany, although at least their size makes it easy to expand into a dekany or bihexany without having further overlapping notes.

Circle diagram.

! 5-7-9-13_Hexany.scl
!
5 7 9 13 2-combination Hexany
6
!
435.084
454.213
889.298
1017.596
1071.701
1200

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