1-3-5-7-11 dekany
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The second simplest possible dekany, comprised of the combination sum products of 4 notes 2 steps apart and 1 which breaks the pattern.. This creates a scale of 1 35/32 7/6 77/64 5/4 11/8 5/3 55/32 7/4 11/6 2/1, with steps of 35/32 16/15 33/32 80/77 11/10 40/33 33/32 56/55 22/21 12/11. It does have three perfect fifths, but not one above the root, and the steps are quite lopsided, making this a fairly xenharmonic dekany that is obviously very distinct from 12edo to even untrained ears.
! 1-3-5-7-11_Dekany.scl ! 1 3 5 7 11 2-combination Dekany 10 ! 155.139 266.870 320.143 386.313 551.317 884.358 937.631 968.825 1049.362 1200
Suggested keyboard mapping: Start on C, skipping the F & G notes.