1-3-5-11-15 dekany

Circle diagram.

Circle diagram (rotated).

A 15-odd-limit dekany. This creates a scale of 1 55/48 5/4 11/8 25/16 5/3 55/32 11/6 15/8 2/1, with steps of 55/48 12/11 11/10 25/22 16/15 33/32 16/15 45/44 16/15. (5/4 appears twice as the reduced products of 1x15 & 3x5.) Like many combination product sets in the 2.3.5.11 subgroup, this forms a shape reminiscent of porcupine scales, although in this case there are some significant irregularities in the step size and clustering at one end. Still, it has 4 perfect fifths, some with conventional 5-limit major and minor chords, so it should be possible to compose functional music using it once you get used to its quirks.

! 1-3-5-11-15_Dekany.scl
!
1 3 5 7 15 2-combination Dekany
9
!
235.676
386.313
551.317
772.627
884.358
937.631
1049.362
1088.268
1200

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