1-3-5-9 by 13/9 bihexany

A 17-limit Bihexany. This creates a scale of 1 13/12 9/8 65/54 5/4 65/48 13/9 3/2 13/8 5/3 65/36 15/8 2/1, with steps of 13/12 27/26 260/243 27/26 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15. Like any interval near 600 cents, this is a way to turn the near-diatonic scale of the base hexany into a 12 note scale that maps unambiguously to a standard keyboard with many simple consonant chords, although as this one is further out from a perfect tritone than 17/12 or 7/5, it does have more xenharmonic intervals in it. It has 8 perfect fifths, 2 which are flat by a syntonic comma, one which is flat by 65/64 and 1 which is sharp by 416/405.

Circle diagram.

! 1-3-5-9_by_13/9_Bihexany.scl
!
1 3 5 9 by 13/9 2-combination Bihexany
12
!
138.572
203.910
320.976
386.313
524.886
636.617
701.955
840.527
884.358
1022.931
1088.268
1200