3-5-7-9-11-13-15 pentatriandekany
The most complex 15-odd-limit pentatriandekany. This creates a scale of 1 143/140 117/112 15/14 13/12 11/10 9/8 65/56 33/28 143/120 5/4 143/112 9/7 13/10 11/8 39/28 99/70 3/2 429/280 11/7 45/28 13/8 33/20 117/70 143/84 99/56 9/5 11/6 13/7 27/14 39/20 55/28 2/1, with steps of 143/140 45/44 40/39 91/90 66/65 45/44 65/63 66/65 91/90 150/143 143/140 144/143 91/90 55/52 78/77 66/65 35/33 143/140 40/39 45/44 91/90 66/65 78/77 55/54 27/26 56/55 55/54 78/77 27/26 91/90 275/273 56/55. (3 notes are duplicated, reducing this to a 32 note scale) With 14 perfect fifths and plenty more imperfect ones, there are more than enough places that you can construct recognisable chords to work with this, but there are also several gaps approximately the size of a 12edo semitone, which means they do not form a smooth continuum despite the number of notes.
! 3-5-7-9-11-13-15_Pentatriandekany.scl ! 3 5 7 9 11 13 15 3-combination Pentatriandekany 32 ! 36.705 75.611 119.442 138.572 165.004 203.910 258.015 284.447 303.576 386.313 423.019 435.084 454.213 551.317 573.656 600.088 701.955 738.660 782.492 821.397 840.527 866.959 889.298 921.064 986.402 1017.596 1049.362 1071.701 1137.039 1156.168 1168.805 1200