1-3-5-7-11-15 pentadekany

A 15-odd-limit pentadekany. This creates a scale of 1 35/32 55/48 7/6 5/4 11/8 35/24 25/16 77/48 5/3 55/32 7/4 11/6 15/8 2/1, with steps of 35/32 22/21 56/55 15/14 11/10 35/33 15/14 77/75 80/77 33/32 56/55 22/21 45/44 16/15. (5/4 appears twice, reducing it to a 14 note scale) It has 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. Despite this minor limitation, this is one of the stronger pentadekanies overall so far, with every note just about melodically usable and plenty of both familiar and xenharmonic chords to choose from.

Circle diagram.
Circle diagram. (rotated)
! 1-3-5-7-11-15_Pentadekany.scl
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1 3 5 7 11 15 2-combination Pentadekany
14
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155.139
235.676
266.871
386.313
551.317
653.184
772.627
818.188
884.358
937.631
968.825
1049.362
1088.268
1200