1-3-5-7-9-11 pentadekany

The simplest possible pentadekany, comprised of two-combination sum products of the first 6 odd numbers. This creates a scale of 1 33/32 9/8 55/48 7/6 5/4 21/16 11/8 35/24 3/2 77/48 5/3 7/4 11/6 15/8 2/1, with steps of 33/32 12/11 55/54 56/55 15/14 21/20 22/21 35/33 36/35 77/72 80/77 21/20 22/21 45/44 16/15. Despite only having 15 notes and a high concentration of simple intervals, this does still contain some melodically weak sixth-tones, showing that at this density of notes, the number of scales where every interval works well together is already small and there are plenty of different dissonances it can produce.

Circle diagram.

! 1-3-5-7-9-11_Pentadekany.scl
!
1 3 5 7 9 11 2-combination Pentadekany
15
!
53.272
203.910
235.676
266.871
386.313
470.780
551.317
653.184
701.955
818.188
884.358
968.825
1049.362
1088.268
1200