3-5-7-9-11-13 eikosany
The most complex 13-odd-limit eikosany. This creates a scale of 1 143/140 13/12 11/10 33/28 143/120 9/7 13/10 39/28 99/70 3/2 429/280 11/7 33/20 117/70 143/84 9/5 11/6 13/7 39/20 2/1, with steps of 143/140 35/33 66/65 15/14 91/90 1080/1001 91/90 15/14 66/65 35/33 143/140 40/39 21/20 78/77 55/54 756/715 55/54 78/77 21/20 40/39. Like its corresponding pentadekany, this is essentially an octotonic scale with many close comma steps concentrated around the cardinal points of the scale. This means it has a pretty even mix of familiar and xenharmonic intervals, including 6 perfect fifths, but no chains of multiple fifths in a row, making it quite usable, but only if you work within its framework rather than trying to fore it into a diatonic one.
! 3-5-7-9-11-13_Eikosany.scl ! 3 5 7 9 11 13 3-combination Eikosany 20 ! 36.705 138.572 165.004 284.447 303.576 435.084 454.213 573.656 600.088 701.955 738.660 782.492 866.959 889.298 921.064 1017.596 1049.362 1071.701 1156.168 1200