1-5-7-9-11-13 pentadekany

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Circle diagram.

A 13-odd-limit pentadekany. This creates a scale of 1 11/10 9/8 91/80 99/80 13/10 11/8 7/5 117/80 63/40 13/8 7/4 143/80 9/5 77/40 2/1, with steps of 11/10 45/44 91/90 99/91 104/99 55/52 56/55 117/112 14/13 65/63 14/13 143/140 144/143 77/72 80/77. This is the simplest pentadekany that does not have any perfect fifths, with the closest approximation being the 5 cent sharp one between 117/80 and 11/10. It does not have any extremely large gaps, which means it is still melodically functional, but it does have several very small comma steps and is generally quite xenharmonic in sound, which means it needs careful consideration to find usable chords in it.

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1 5 7 9 11 13 2-combination Pentadekany
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