1-3-5-9 by 6/5 bihexany

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Circle diagram.

The second simplest possible Hexany, offset by a minor third. This creates a scale of 1 9/8 6/5 5/4 27/20 3/2 5/3 9/5 15/8 2/1, with steps of 9/8 16/15 25/24 27/25 10/9 10/9 27/25 25/24 16/15. This is the second most repetitive way of expanding the base hexany out, with three duplicated notes reducing it to a 9 note scale. It does have 6 perfect fifths and a complete diatonic scale, but it also has two wolf fifths that are out by a syntonic comma, which means standard chord progressions that work with no problems in 12edo can run into issues here. If you want a scale that has the same pattern of notes, but lacks the duplicated ones, extending it to a full 12 note scale, use the 1-3-5-9 by 25/18 bihexany.

! 1-3-5-9_by_6/5_bihexany.scl
!
1 3 5 9 by 6/5 2-combination Bihexany
9
!
203.910
315.641
386.313
519.551
701.955
884.358
1017.596
1088.268
1200

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