1-3-9-13-15 dekany

A 15-odd-limit dekany. This creates a scale of 1 65/64 13/12 9/8 39/32 5/4 45/32 3/2 13/8 15/8 2/1, with steps of 65/64 16/15 27/26 13/12 40/39 9/8 16/15 13/12 15/13 16/15. While it does contain 6 out of 7 notes of the diatonic scale, the extra tridecimal intervals are quite awkwardly positioned and mostly clustered on one side, forcing you to map some intervals more than 100 cents away from 12edo on a standard keyboard, making it not the easiest of dekanies to work with despite the abundance of perfect fifths.

Circle diagram.

! 1-3-9-13-15_Dekany.scl
!
1 3 9 13 15 2-combination Dekany
10
!
26.841
138.572
203.910
342.482
386.482
590.223
701.955
840.527
1088.268
1200

Suggested keyboard mapping: Start on C skipping the A and Bb notes.