1-3-5-7 by 48/35 bihexany

Two copies of the simplest possible Hexany, offset by a wide tritone. This creates a scale of 1 8/7 7/6 6/5 5/4 48/35 35/24 8/5 5/3 12/7 7/4 2/1, with steps of 8/7 49/48 36/35 25/24 192/175 1225/1152 192/175 25/24 36/35 49/48 8/7. This is the most complex of the three bihexanies derived from this hexany that has a single repeated note, resulting in an 11 note scale with a clear line of symmetry through the centre. While it does not have a fifth above the root, it does have 4 other perfect ones that can be used to provide points of stability, although they are clustered close together on opposite sides of the scale, which means there are no functional chord sequences. Due to the close clusters of notes on the side and wide gaps around the root, this is actually very xenharmonic sounding despite the number of simple ratios, so you should not expect to be able to approximate common practice music using this scale.

Circle diagram.

! 1-3-5-7_by_48/35_Bihexany.scl
!
1 3 5 7 by 48/35 2-combination Bihexany
11
!
231.174
266.871
315.641
386.313
546.815
653.184
813.686
884.358
933.129
968.825
1200

Suggested keyboard mapping: Start on D, skipping the G# note