1-3-13-15 by 18/13 bihexany

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Circle diagram.

A 15-odd-limit Hexany. This creates a scale of 1 65/64 13/12 9/8 5/4 135/104 18/13 45/32 3/2 13/8 45/26 15/8 2/1, with steps of 65/64 16/15 27/26 10/9 27/26 16/15 65/64 16/15 13/12 180/169 13/12 16/15. This is probably the best way of filling in the large gap in the base hexany, keeping the smallest step the same size while reducing the largest step to a 6.8:1 ratio. It has 6 notes with perfect fifths above them, and these have a rich selection of 5-limit major & minor chords and barbados ultramajor & inframinor chords to choose from, letting you shift easily between familiar and xenharmonic sounds.

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1 3 13 15 by 18/13 2-combination Hexany
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840.527
949.696
1088.268
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