1-3-9-17 hexany

A 17-odd-limit Hexany. This creates a scale of 1 17/16 9/8 17/12 3/2 51/32 2/1, with steps of 17/16 18/17 34/27 18/17 17/16 64/51. This is essentially a subset of 12edo, reminding us how well that encapsulates the 2.3.17.19 subgroup, but a curious one that sounds nothing like the diatonic scale most music is created in. This means it has value in a similar way to using the whole tone scale, demonstrating how you can create fresh sounding music by selective subtraction rather than adding new elements.

Circle diagram (rotated).

! 1-3-9-17_Hexany.scl
!
1 3 9 17 2-combination Hexany
6
!
104.955
203.910
603.000
701.955
806.910
1200

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