3-5-9-13-15 dekany

A 15-odd-limit dekany. This creates a scale of 1 13/12 9/8 5/4 13/10 3/2 13/8 9/5 39/20 2/1, with steps of 13/12 27/26 10/9 26/25 15/13 13/12 72/65 13/12 40/39. (3/2 appears twice as the reduced product of 3x15 and 5x9) While mildly reduced in compositional options compared to the average dekany, the ones it does have are excellent, combining multiple simple 5-limit chords with more spicy tridecimal intervals that are obviously distinct from 12edo ones, but none are so close as to blur into their neighbours.

Circle diagram.

! 3-5-9-13-15_Dekany.scl
!
3 5 9 13 15 2-combination Dekany
9
!
138.572
204.910
386.313
454.213
701.955
840.527
1017.596
1156.168
1200
 

Suggested keyboard mapping: Start on C, Skipping the Eb, Gb and A notes.