1-3-7-11-13-15 eikosany
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A 15-odd-limit eikosany. This creates a scale of 1 65/64 15/14 13/12 65/56 5/4 143/112 11/8 165/112 143/96 11/7 715/448 13/8 143/84 55/32 195/112 11/6 13/7 15/8 55/28 2/1, with steps of 65/64 96/91 91/90 15/14 14/13 143/140 14/13 15/14 91/90 96/91 65/64 56/55 22/21 105/104 78/77 616/585 78/77 105/104 22/21 56/55. This is clearly a nonatonic scale where most of the degrees have multiple close comma steps that you can use to evade or emphasise dissonance. It has 6 notes with perfect fifths above them and many more with various flavours of imperfect ones, which means at least one of the notes in most degrees can be used to construct stable chords.
! 1-3-7-11-13-15_Eikosany.scl ! 1 3 7 11 13 15 3-combination Eikosany 20 ! 26.841 119.442 138.572 258.015 386.313 423.019 551.317 670.760 689.890 782.492 809.333 840.527 921.064 937.631 959.970 1049.362 1071.701 1088.268 1168.805 1200