1-5-7-11-13-15 pentadekany
A 15-odd-limit pentadekany. This creates a scale of 1 9/8 91/80 39/32 13/10 21/16 7/5 117/80 3/2 63/40 13/8 27/16 7/4 9/5 15/8 2/1, with steps of 33/32 16/15 91/88 15/14 16/15 105/104 22/21 56/55 15/14 13/12 14/13 143/140 150/143 77/75 80/77. With four perfect fifths plus one flat by 225/224, one flat by 105/104, one flat by 78/77, one sharp by 64/63 and one sharp by 91/90, this has a decent number of consonances, but also a unusually high number of near-misses that are much more complex and dissonant sounding than their pure versions, giving you a lot of opportunities to create recognisable but warped harmony compared to most just intonation scales.

! 1-5-7-9-13-15_Pentadekany.scl ! 1 5 7 9 13 15 2-combination Pentadekany 15 ! 53.272 165.004 223.039 342.482 454.213 470.781 551.317 582.512 701.955 840.527 968.825 1005.531 1088.268 1133.830 1200