1-9-11-13-15 dekany
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A 15-odd-limit dekany. This creates a scale of 1 55/48 11/9 65/48 11/8 13/9 13/8 5/3 15/8 143/72 2/1, with steps of 55/48 16/15 195/176 66/65 104/99 9/8 40/39 9/8 143/135 144/143. This has many highly xenharmonic steps, and the closest thing to a perfect fifth is the interval between 13/8 and 11/9, which is sharp by 352/351. This is close enough to give you a somewhat stable point to rest upon, but the lack of any others means this works better as a melodic scale than a harmonic one.
! 1-9-11-13-15_Dekany.scl ! 1 9 11 13 15 2-combination Dekany 10 ! 235.676 347.407 524.886 551.317 636.617 840.527 884.358 1088.268 1187.935 1200
Suggested keyboard mapping: Start on C, skipping the Db and G notes.