1-3-5-9-13 dekany
A 13-odd-limit dekany. This creates a scale of 1 13/12 9/8 39/32 5/4 65/48 3/2 13/8 5/3 15/8 2/1, with steps of 13/12 27/26 13/12 40/39 13/12 72/65 13/12 40/39 9/8 16/15. This combines a full diatonic scale, albeit with a wolf fourth, with three more obviously xenharmonic notes that can be used to spice things up and so has strong compositional potential. It is represented excellently in 53edo, where it maps to a scale of 6 3 6 2 6 8 6 2 9 5 steps.
! 1-3-5-9-13_Dekany.scl ! 1 3 5 9 13 2-combination Dekany 10 ! 138.572 203.910 342.482 386.313 524.886 701.955 840.527 884.358 1088.268 1200
Suggested keyboard mapping: Start on C, skipping the F# and Bb notes.