3-5-7-9-11-15 eikosany
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A 15-odd-limit eikosany. This creates a scale of 1 15/14 11/10 9/8 33/28 5/4 9/7 11/8 99/70 3/2 11/7 45/28 33/20 99/56 9/5 11/6 27/14 55/28 2/1, with steps of 15/14 77/75 45/44 22/21 35/33 36/35 77/72 36/35 35/33 22/21 45/44 77/75 15/14 56/55 55/54 81/77 55/54 56/55. (3/2 and 33/28 appear twice, reducing this to an 18 note scale) This has a greater number of steps than its corresponding pentadekany, but the size of the smallest step remains the same, keeping all the steps melodically usable while giving you many harmonic options, with 8 perfect fifths distributed fairly evenly around the scale to build stable chords upon.
! 3-5-7-9-11-15_Eikosany.scl ! 3 5 7 9 11 15 3-combination Eikosany 18 ! 119.442 165.004 203.910 284.447 386.313 435.084 551.317 600.088 701.955 782.492 821.397 866.959 986.402 1017.596 1049.362 1137.039 1168.805 1200