1-5-7-9-11-13-15 enaeikosany

Circle diagram.

Circle diagram (rotated).

A 15-odd-limit enaeikosany. This creates a scale of 1 33/32 11/10 9/8 91/80 39/32 99/80 13/10 21/16 11/8 7/5 117/80 3/2 63/40 13/8 27/16 7/4 143/80 9/5 15/8 77/40 2/1, with steps of 33/32 16/15 45/44 91/90 15/14 66/65 104/99 105/104 22/21 56/55 117/112 40/39 21/20 65/40 27/26 28/27 143/140 144/143 25/24 77/75 80/77. Despite not having 3 as a factor, the combination of 15/5 and 9 means it still has 6 perfect fifths to build stable chords upon, plus multiple imperfect but diatonic ones as well, with the best selection of thirds being above the 3/2. Since it has a near complete otonal set of harmonics from 8-16 in multiple modes, this is quite high in consonance in general despite having several melodically awkward comma steps.

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1 5 7 9 11 13 15 2-combination Enaeikosany
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