1-3-5-7-13-15 pentadekany

A 15-odd-limit pentadekany. This creates a scale of 1 65/64 13/12 35/32 7/6 5/4 65/48 35/24 25/16 13/8 5/3 7/4 15/8 91/48 2/1, with steps of 65/64 16/15 105/104 16/15 15/14 13/12 14/13 15/14 26/25 40/39 21/20 15/14 91/90 96/91. (5/4 appears twice, reducing it to a 14 note scale) This is very similar harmonically to its immediate neighbour 1-3-5-7-11-15, with 6 notes with perfect fifths above them, plus an extra marvellous fifth, giving you a solid selection of places to build chords upon, but not one above the root, requiring rotating to another mode to make best use of it. However, it has a greater number of close comma steps, making it more of an 11 note scale for melodic purposes and slightly weaker overall.

Circle diagram.
Circle diagram. (rotated)
! 1-3-5-7-13-15_Pentadekany.scl
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1 3 5 7 13 15 2-combination Pentadekany
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26.841
138.572
155.139
266.871
386.313
524.886
653.184
772.627
840.527
884.358
968.825
1088.268
1107.398
1200