3-5-7-11 by 3/2 bihexany

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Circle diagram.

The simplest Hexany comprised entirely out of prime numbers, offset by the simplest possible interval which produces no repeated notes. This creates a scale of 1 21/20 11/10 7/6 77/60 11/8 7/5 3/2 33/20 7/4 11/6 77/40 2/1, with steps of 21/20 22/21 35/33 11/10 15/14 56/55 15/14 11/10 35/33 22/21 21/20 80/77. As the base hexany has a large gap on one side, offsetting by any interval near 600 cents fills that with a minimum of overlapping notes. Doing so by 3/2 obviously means there are 6 notes with perfect fifths above them, including 2 each of 5-limit major and minor chords, giving you plenty of stable places to root your music even if there are no conventional circle of fifth based chord progressions.

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3 5 7 11 by 3/2 2-combination bihexany
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84.467
165.004
266.871
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551.317
582.512
701.955
866.959
968.825
1049.362
1133.830
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