1-3-7-9-13-15 eikosany
A 15-odd-limit eikosany. This creates a scale of 1 65/64 117/112 15/14 13/12 9/8 65/56 135/112 39/32 5/4 9/7 585/448 39/28 45/32 3/2 45/28 13/8 195/112 13/7 15/8 2/1, with steps of 65/64 36/35 40/39 91/90 27/26 65/63 27/26 91/90 40/39 36/35 65/64 16/15 105/104 16/15 15/14 91/90 15/14 16/15 105/104 16/15. With many comma sized steps on one side and steps larger than 12edo ones on the other, this is a quite lopsided eikosany that can just about approximate diatonic music, with 12 notes with perfect fifths above them, but also has many highly xenharmonic combinations of notes as well if you're willing to experiment.

! 1-3-7-9-11-15_Eikosany.scl ! 1 3 7 9 11 15 3-combination Eikosany 20 ! 26.841 75.611 119.442 138.572 203.910 258.015 323.352 342.482 386.313 435.084 461.925 573.656 590.223 701.955 821.397 840.527 959.970 1071.701 1088.268 1200