1-5-9-11-13-15 pentadekany

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Circle diagram.

A 15-odd-limit pentadekany. This creates a scale of 1 33/32 11/10 9/8 39/32 99/80 13/10 11/8 117/80 3/2 13/8 27/16 143/80 9/5 15/8 2/1, with steps of 33/32 16/15 45/44 13/12 66/65 104/99 55/52 117/110 40/39 13/12 27/26 143/135 144/143 25/24 16/15. This does have 5 perfect fifths, including three in a I IV V arrangement with a 5-limit major and minor chord in the centre, like all combination product sets containing the 1-5-9-15 hexany, but it does also have quite a few small intervals that blur into their neighbours, making it usable but not optimal for its size.

! 1-5-9-11-13-15_Pentadekany.scl
!
1 5 9 11 13 15 2-combination Pentadekany
15
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53.272
165.004
203.910
342.482
368.914
454.213
551.317
658.123
701.955
840.527
905.865
1005.531
1017.596
1088.268
1200