1-3-5-9-11-13-15 enaeikosany
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A 15-odd-limit enaeikosany. This creates a scale of 1 65/64 33/32 13/12 9/8 55/48 39/32 5/4 65/48 11/8 45/32 143/96 3/2 25/16 13/8 5/3 55/32 11/6 15/8 2/1, with steps of 65/64 66/65 104/99 27/26 55/54 117/110 40/39 13/12 66/65 45/44 143/140 144/143 25/24 26/25 40/39 33/32 16/15 45/44 16/15. (5/4 and 15/8 appear twice, reducing this to a 19 note scale.) With 11 perfect fifths and several different approximations to the diatonic scale in various modes, this has plenty of consonant chords available and makes moving between them relatively intuitive for a scale this size, at the cost of some comma steps that blur into their neighbours.
! 1-3-5-9-11-13-15_Enaeikosany.scl ! 1 3 5 9 11 13 15 2-combination Enaeikosany 19 ! 26.841 53.272 138.572 203.910 235.676 342.482 386.313 524.886 551.317 590.223 689.890 701.955 772.627 840.527 884.358 937.631 1049.362 1088.268 1200