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.

Circle diagram.

! 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