1-3-5-7-11-15 eikosany
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A 15-odd-limit eikosany. This creates a scale of 1 33/32 35/32 11/10 7/6 77/64 5/4 77/60 21/16 11/8 7/5 3/2 77/48 55/32 7/4 11/6 15/8 77/40 2/1, with steps of 1 33/32 35/32 11/10 7/6 77/64 5/4 77/60 21/16 11/8 7/5 3/2 77/48 55/32 7/4 11/6 15/8 77/40 2/1. (7/4 and 11/8 appear twice, reducing this to an 18 note scale.) While mildly reduced in options, the ones that remain are quite decent for its size, with 8 perfect fifths and two marvellous ones, and only one 10 cent step that blurs into its neighbour. In addition, at 18 notes, this is easier to keep track of than most large scales when mapped a regular keyboard because the notes are on the same key every other octave, although your range will still be somewhat compressed.
! 1-3-5-7-11-15_Eikosany.scl ! 1 3 5 7 11 15 3-combination Eikosany 18 ! 53.272 155.139 165.004 266.871 320.143 386.313 431.875 470.781 551.317 582.512 701.955 818.188 937.631 968.825 1049.362 1088.268 1133.830 1200