3-11-13-15 hexany

A 15-odd-limit Hexany. This creates a scale of 1 13/12 13/11 5/4 15/11 65/44 2/1, with steps of 13/12 12/11 55/52 12/11 13/12 88/65. All the steps are of usable sizes melodically, but there is a gap of more than 500 cents on one side of the scale, with the only interval approximating a fifth more than 25 cents flat. This means that any dekany or bihexany derived from it that adds perfect fifths will also add microtonal intervals that are below optimal for melody.

Circle diagram.

! 3-11-13-15_Hexany.scl
!
3 11 13 15 2-combination Hexany
6
!
138.572
289.209
386.313
536.950
675.523
1200

Suggested keyboard mapping: C Db Eb E F G C