1-3-5-9-11-13-15 pentatriandekany
A 15-odd-limit pentatriandekany. This creates a scale of 1 65/64 33/32 13/12 11/10 143/128 9/8 143/120 39/32 99/80 5/4 13/10 429/320 11/8 45/32 117/80 143/96 3/2 99/64 13/8 33/20 27/16 55/32 143/80 9/5 117/64 11/6 15/8 39/20 2/1, with steps of 65/64 66/65 104/99 66/65 65/64 144/143 143/135 45/44 66/65 100/99 26/25 33/32 40/39 45/44 26/25 55/54 144/143 33/32 104/99 66/65 45/44 55/54 26/25 144/143 65/64 352/351 45/44 26/25 40/39. (6 notes are duplicated, reducing this to a 29 note scale) It has 18 perfect fifths, plus multiple imperfect but still diatonic ones on top of that. Particularly notable is that it has a diatonic fourth which is sharp by 1287/1280 above the root note, which is rare in combination product sets, which usually have a diatonic scale in the lydian mode above the root if they have one at all and require rotating to best translate common practise music to them. That makes this scale particularly accessible for its size as long as you know how to correctly use the comma steps to evade or accentuate dissonance.
! 1-3-5-9-11-13-15_Pentatriandekany.scl ! 1 3 5 9 11 13 15 3-combination Pentatriandekany 29 ! 26.841 53.272 138.572 165.004 191.845 203.910 303.576 342.482 368.914 386.313 454.213 507.486 551.317 590.223 658.123 689.890 701.955 755.227 840.527 866.959 905.865 937.631 1005.531 1017.596 1044.437 1049.437 1088.268 1156.168 1200