1-3-7-11-13-15 pentadekany
A 15-odd-limit pentadekany. This creates a scale of 1 65/64 13/12 35/32 7/6 5/4 11/8 143/96 77/48 13/8 55/32 7/4 11/6 15/8 91/48 2/1, with steps of 65/64 16/15 105/104 16/15 15/14 11/10 13/12 14/13 78/77 55/52 56/55 22/21 45/44 91/90 96/91. This is another one that like its neighbours, has a string of steps slightly larger than 12edo semitones on one side and a mix of medium sized steps and comma ones on the other. It has 4 notes with perfect fifths above them, plus an additional one flat by 144/143 over the root, but they are all on one side of the scale, limiting your modulation options. Since it does cover a substantial part of the harmonic sequence it doesn't look impossible to compose recognisable songs in this, particularly if you are used to temperaments that cluster all the fifths on one side of the scale like porcupine and negri.
! 1-3-7-11-13-15_Pentadekany.scl ! 1 3 7 11 13 15 2-combination Pentadekany 15 ! 26.841 138.572 155.139 266.871 386.313 551.317 689.890 818.188 840.527 937.631 968.825 1049.362 1088.268 1107.398 1200