1-3-7-15 by 6/5 bihexany

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Circle diagram.

The third and final 15-odd-limit bihexany derived from the 1-3-7-15_hexany that has both a full 12 notes and a 3/2 above the root note. This creates a scale of 1 21/20 35/32 9/8 7/6 6/5 5/4 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/20 25/24 36/35 28/27 36/35 25/24 21/20 16/15 15/14 7/6 15/14 16/15. This is the most lopsided of the three, with a ratio of nearly 5.5:1 between the largest and smallest steps and 7 intervals that are smaller than 100 cents, so while it does still have 6 notes with perfect fifths above them and many consonant chords, it also has the greatest potential for dissonance by using cluster chords and the greatest potential for confusion when playing on a standard keyboard due to the intervals not being on the expected keys thanks to the compression. (for example, an 8:9:10:12:14 chord is C Eb Gb A Bb.)

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1 3 7 15 by 6/5 2-combination Bihexany
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701.955
968.825
1088.268
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