1-3-5-9-11-15 eikosany

A 15-odd-limit eikosany. This creates a scale of 1 33/32 11/10 9/8 99/80 5/4 11/8 45/32 3/2 99/64 33/20 27/16 55/32 9/5 11/6 15/8 2/1, with steps of 33/32 16/15 45/44 11/10 100/99 11/10 45/44 16/15 33/32 16/15 45/44 55/54 288/275 55/54 45/44 16/15. (3/2, 9/8, 11/8 and 33/32 appear twice, reducing it to a 16 note scale) Like many scales in this prime subgroup, this is a porcupine detemper, clustering around a heptatonic scale with multiple close notes on each degree. Only the 100/99 step is so small as to be melodically troublesome and there are many strong chord combinations, with at least one perfect fifth in every cluster to root chords upon, giving you plenty of freedom to modulate.

Circle diagram.

! 1-3-5-9-11-15_Eikosany.scl
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1 3 5 9 11 15 3-combination Eikosany
16
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53.272
165.004
203.910
368.914
386.313
551.317
590.223
701.955
755.227
866.959
905.865
937.631
1017.596
1049.362
1088.268
1200