1-3-5-9 by 16/15 bihexany

The second simplest possible Hexany, offset by a minor second. This creates a scale of 1 16/15 9/8 6/5 5/4 4/3 3/2 8/5 5/3 16/9 15/8 2/1, with steps of 16/15 135/128 16/15 25/24 16/15 9/8 16/15 25/24 16/15 135/128 16/15. This is the simpler of two different ways of expanding the base hexany out that has one duplicated note, reducing it to a 11 note scale. It turns it from a near complete diatonic scale to a near complete chromatic scale with 8 perfect fifths and two wolf ones. This means most common practice music can be translated to it, but due to the longer chain of perfect fifths in the centre, some of the thirds are pythagorean, while others are 5-limit, which means the character of a song will change dramatically if you transpose it to a different key.

Circle diagram.

! 1-3-5-9_by_16/15_bihexany.scl
!
1 3 5 9 by 16/15 2-combination Bihexany
11
!
111.731
203.910
315.641
386.313
498.044
701.955
813.686
884.358
996.089
1088.268
1200

Suggested keyboard mapping: C Db D Eb F G Ab A Bb B C.