1-3-5-9 by 27/20 bihexany
The second simplest possible Hexany, offset by a wolf fourth. This creates a scale of 1 81/80 9/8 5/4 81/64 27/20 3/2 243/160 5/3 27/16 15/8 2/1, with steps of 81/80 10/9 10/9 81/80 16/15 10/9 81/80 800/729 81/80 10/9 16/15. This is the most complex way of expanding the base hexany out that has any duplicated notes, reducing it to a 11 note scale. This does give it a complete diatonic scale, but now four of the notes have multiple variants a comma step apart, which means you can evade wolf notes by playing the correct ones in chords, but also have a wide range of complex and subtle dissonances available if you intentionally choose the wrong notes that make this capable of far more than simply making songs composed using the diatonic scale sound more in tune.
! 1-3-5-9_by_27/20_bihexany.scl ! 1 3 5 9 by 27/20 2-combination Bihexany 11 ! 21.506 203.910 386.313 407.820 519.551 701.955 723.461 884.358 905.865 1088.268 1200
Suggested keyboard mapping: C C# D Eb E F G G# A A# B C.