1-3-5-7-15 dekany

Circle diagram.

Circle diagram (rotated).

The simplest 15-odd-limit dekany. This creates a scale of 1 35/32 7/6 5/4 35/24 25/16 5/3 7/4 15/8, with steps of 35/32 16/15 15/14 7/6 15/14 16/15 21/20 15/14 16/15. This is notable because it is the simplest dekany that winds up with fewer than 10 notes, with 5/4 appearing twice as the reduced product of 1x15 and 3x5. This does not have a perfect fifth above the root, but does have four other ones, plus two additional fifths that are flat by a marvel comma and still entirely usable as a regular fifth. Although it does not contain a diatonic scale, it still has many other simple consonances, making it a highly accessible introduction to xenharmony that contains several notes almost exactly 50 cents out from 12edo, but does not provide so many options as to be overwhelming.

! 1-3-5-7-15_Dekany.scl
!
1 3 5 7 15 2-combination Dekany
9
!
155.139
266.871
386.313
653.184
772.627
884.358
968.825
1088.268
1200

Suggested keyboard mapping: Start on C, skipping the C#, E & G notes.