1-3-5-9-13-15 eikosany
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A 15-odd-limit eikosany. This creates a scale of 1 65/64 13/12 9/8 39/32 5/4 13/10 45/32 117/80 3/2 13/8 27/16 9/5 117/64 15/8 39/20 2/1, with steps of 65/64 16/15 27/26 13/12 40/39 26/25 225/208 26/25 40/39 13/12 27/26 16/15 65/64 40/39 26/25 40/39. (3/2, 9/8, 13/8 and 39/32 appear twice, reducing it to a 16 note scale) With 6 of the notes crammed into one cluster near the root of the scale, this is quite lopsided, but it still has 10 notes with perfect fifths above them around the scale, including a full 5-limit diatonic scale, giving you more than enough options to compose recognisable tonal music with.
! 1-3-5-9-13-15_Eikosany.scl ! 1 3 5 9 13 15 3-combination Eikosany 16 ! 26.841 138.572 203.910 342.482 386.313 454.213 590.223 658.123 701.955 840.527 905.864 1017.596 1044.437 1088.268 1156.168 1200