1-3-5-7-9-13-15 enaeikosany

A 15-odd-limit enaeikosany. This creates a scale of 1 65/64 13/12 35/32 9/8 7/6 39/32 5/4 21/16 65/48 45/32 35/24 3/2 25/16 13/8 5/3 7/4 15/8 91/48 2/1, with steps of 65/64 16/15 105/104 36/35 28/27 117/112 40/39 21/20 65/63 27/26 28/27 36/35 25/24 26/25 40/39 21/20 15/14 91/90 96/91. (5/4 and 15/8 appear twice, reducing this to a 19 note scale.) This is an incomplete detemper of negri that passes the 9 and 10 note mos scales, but does not quite reach the full 19 note one, as three of the steps have multiple notes a comma apart, while another three of the steps are still missing, giving relatively even steps between a quarter and third tone over approximately 2/3rds of the scale while alternating between much more dramatic small and large steps on the remaining third. It has 11 perfect fifths, plus additional imperfect but still diatonic ones out by 225/224, 105/104 and 91/90. As it contains a full 5-limit diatonic scale within it plus plenty of more xenharmonic additional notes, this is quite accessible for a scale this size and relatively easy to compose in despite its lopsidedness.

Circle diagram.

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1 3 5 7 9 13 15 2-combination Enaeikosany
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26.841
138.572
155.139
203.910
266.871
342.482
386.313
470.781
524.886
590.223
653.184
701.955
772.627
840.527
884.358
968.825
1088.268
1107.398
1200