1-3-7-9-11-13-15 pentatriandekany

A 15-odd-limit pentatriandekany. This creates a scale of 1 65/64 33/32 117/112 15/14 13/12 495/448 9/8 65/56 33/28 135/112 39/32 5/4 143/112 9/7 585/448 11/8 39/28 45/32 165/112 143/96 3/2 11/7 715/448 45/28 13/8 143/84 55/32 195/112 99/56 11/6 13/7 15/8 429/224 55/28 2/1, with steps of 65/64 66/65 78/77 40/39 91/90 1485/1456 56/55 65/63 66/65 45/44 91/90 40/39 143/140 144/143 65/64 616/585 78/77 105/104 22/21 91/90 144/143 22/21 65/64 144/143 91/90 22/21 105/104 78/77 66/65 28/27 78/77 91/90 143/140 40/39 56/55. With a relatively even fan of notes on one side, and noticable clusters of notes with gaps between on the other, this is somewhat lopsided, but even the largest steps are smaller than a 12edo semitone so it should not be difficult to find one close to any intended pitch. 20 notes have perfect fifths above them, giving you plenty of places to build chords both simple and with all kinds of shadings of dissonance.

Circle diagram.

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1 3 7 9 11 13 15 3-combination Pentatriandekany
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26.841
53.272
75.611
119.442
138.572
172.715
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258.015
284.447
323.352
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551.317
573.656
590.223
670.760
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782.492
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840.527
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937.631
959.970
986.402
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1071.701
1088.268
1124.974
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1200