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

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Circle diagram.

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.

! 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