A 13-limit Hexany. This creates a scale of 1 13/12 5/4 13/9 5/3 65/36 2/1, with steps of 13/12 15/13 52/45 15/13 13/12 72/65. While it has a 5-limit major and minor chord, all of the individual steps fall neatly between the cracks of the 12edo keyboard, making for very xenharmonic melodies, although as every step is larger than a 12edo semitone, they are all easy to distinguish once you get used to them.

Circle diagram.
Circle diagram. (rotated)
! 3-9-13-15_Hexany.scl
!
3 9 13 15 2-combination Hexany
6
!
138.572
386.313
636.617
884.358
1022.931
1200

Suggested keyboard mapping: C Db E Gb A Bb C