1-3-5-7 by 9/5 bihexany

The simplest possible Hexany, offset by the simplest interval that produces a full 12 note bihexany with no duplicates. This creates a scale of 1 21/20 9/8 7/6 5/4 21/16 35/24 3/2 63/40 5/3 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 21/20 10/9 36/35 21/20 200/189 21/20 36/35 10/9. Like its source hexany, this is actually less evenly distributed and contains more obviously xenharmonic intervals than the 1-3-5-9 by 7/5 bihexany. However, it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents. 6 of the notes have perfect fifths above them to create stable chords with. Particularly interesting from a compositional standpoint is that the root note has both harmonic and dominant 7ths above it, and those notes are distinct, unlike in 12edo, where they are tempered together, making it a useful system for teaching the basics of just intonation and why it can sound more in tune than equal temperament if used correctly.

Circle diagram.

! 1-3-5-7_by_9/5_Bihexany.scl
!
1 3 5 7 by 9/5 2-combination bihexany
12
!
21/20
9/8
7/6
5/4
21/16
35/24
3/2
63/40
5/3
7/4
9/5
2/1