1-3-9-135 hexany

A 5-limit Hexany. This creates a scale of 1 135/128 9/8 45/32 3/2 405/256 2/1, with steps of 135/128 16/15 5/4 16/15 135/128 512/405. This is near identical to the 1-3-9-17 hexany, but with the septendecimal intervals replaced by more complex 5-limit ones. It still has 4 perfect fifths, albeit positioned in a way that does not give any standard chords with thirds, which means it does not approximate common practice music in itself, but is fertile ground for being expanded into a dekany or bihexany with the right offset interval.

Circle diagram.

! 1-3-9-135_Hexany.scl
!
1 3 9 135 2-combination Hexany
6
!
92.178
203.910
590.223
701.955
794.133
1200

Suggested keyboard mapping: C Db D F# G Ab C