1-7-9-17 by 4/3 bihexany

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Circle diagram.

A 17-limit Bihexany. This creates a scale of 1 17/16 9/8 17/14 9/7 4/3 153/112 17/12 3/2 34/21 12/7 51/28 2/1, with steps of 17/16 18/17 68/63 18/17 28/27 459/448 28/27 18/17 68/63 18/17 17/16 56/51. As the base hexany has 9/8's, but no 3/2's, this is the obvious way to add them, giving you 8 perfect fifths around the scale and no large gaps, making it easy to construct chord sequences while still having multiple obviously xenharmonic steps and no simple 5-limit chords.

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1 7 9 17 by 4/3 2-combination Bihexany
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104.955
203.910
336.129
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701.955
834.174
933.129
1038.084
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