3-5-7-13-15 dekany

A 15-odd-limit dekany. This creates a scale of 1 13/12 7/6 5/4 13/10 7/5 3/2 91/60 13/8 7/4 2/1, with steps of 13/12 14/13 15/14 26/25 14/13 15/14 91/90 15/14 14/13 8/7. Like any dekany derived from the 3-5-7-15 hexany, this has a rich selection of simple intervals available, including a full harmonic seventh chord over the root. The addition of ratios of 13 gives you several other good chords, but also one awkward small step of 91/90. It has three perfect fifths, plus an additional one that is flat by 105/104, but they are all one one side of the scale, which somewhat limits your modulation options. Still, overall, this is pretty good when taken as a nonatonic scale, only introducing major clashes when that comma step is used.

Circle diagram.

! 3-5-7-13-15_Dekany.scl
!
3 5 7 13 15 2-combination Dekany
10
!
138.572
266.871
386.313
454.213
582.512
701.955
721.084
840.527
968.825
1200
 

Suggested keyboard mapping: Start on C, Skipping the D and B notes.