1-5-9-13-15 dekany

A 15-odd-limit dekany. This creates a scale of 1 9/8 39/32 13/10 117/80 3/2 13/8 27/16 9/5 15/8 2/1, with steps of 9/8 13/12 16/15 9/8 40/39 13/12 27/26 16/15 25/24 16/15. This expands the basic 5-limit harmony of the 1-5-9-15 hexany out in quite an effective way, giving you four perfect fifths, all of which can be mapped to 7 steps above their roots, and numerous interesting tridecimal chords to explore, with no steps too small to be melodically useful.

Circle diagram.

! 1-5-9-13-15_Dekany.scl
!
1 5 9 13 15 2-combination Dekany
10
!
203.910
342.482
454.213
658.123
701.955
840.527
905.865
1017.596
1088.268
1200

Suggested keyboard mapping: Start on F, skipping the F# and Bb notes.