An 11-limit Hexany. This creates a scale of 1 11/9 5/4 55/36 5/3 11/6 2/1, with steps of 11/9 45/44 11/9 12/11 11/10 12/11. While it has a 5-limit major and minor chord, all of the individual steps fall neatly netween the cracks of the 12edo keyboard, making for very xenharmonic melodies. Due to the highly uneven spacing, most methods of expanding it out into a bihexany will add multiple microtonal intervals.

Circle diagram.
Circle diagram. (rotated)
! 3-7-11-15_Hexany.scl
!
3 7 11 15 2-combination Hexany
6
!
347.407
386.313
733.721
884.358
1049.362
1200

Suggested keyboard mapping: C D# E G A Bb C