1-3-5-7-9-13 pentadekany

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Circle diagram.

The second simplest possible pentadekany. This creates a scale of 1 13/12 9/8 7/6 39/32 5/4 21/16 65/48 35/24 3/2 13/8 5/3 7/4 15/8 91/48 2/1, with steps of 13/12 27/26 18/27 117/112 40/39 21/20 65/63 14/13 36/35 13/12 40/39 21/20 15/14 91/90 96/91. With only one melodically weak interval and plenty of strong simple chords, including 8 notes with perfect fifths above them, this shows plenty of compositional potential without being too much more complex than 12edo if you have a way to play it ergonomically.

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1 3 5 7 9 13 2-combination Pentadekany
15
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138.572
203.910
266.871
342.482
386.313
470.781
524.886
653.184
701.955
840.527
884.358
968.825
1088.268
1107.398
1200