1-5-7-9-11-13-15 pentatriandekany

A 15-odd-limit pentatriandekany. This creates a scale of 1 143/140 33/32 117/112 15/14 11/10 9/8 91/80 1287/1120 33/28 135/112 39/32 143/112 9/7 13/10 297/224 11/8 39/28 99/70 117/80 165/112 3/2 351/224 11/7 13/8 117/70 27/16 195/112 99/56 143/80 9/5 13/7 15/8 429/224 27/14 2/1, with steps of 143/140 105/104 78/77 40/39 77/75 45/44 91/90 99/98 40/39 45/44 91/90 22/21 144/143 91/90 1485/1456 28/27 78/77 66/65 91/88 275/273 56/55 117/112 352/351 91/88 36/35 105/104 65/63 66/65 91/90 144/143 65/63 105/104 143/140 144/43 28/27. With 13 perfect fifths distributed around the scale, this is definitely usable, but the number and complexity of utonal factors continues to increase compared to simpler combination product sets, which makes it increasingly difficult to figure out how chords will sound before actually playing them, as there are instances where a complex ratio will be only a few cents away from a much simpler one.

Circle diagram.

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1 5 7 9 11 13 15 3-combination Pentatriandekany
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