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2026-01-12T08:55:35Z

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[[File:3-5-9-15_by_6-5_Bihexany.png|thumb|Circle diagram.]] A [[5-limit]] [[bihexany]]. This creates a scale of 1 27/25 9/8 6/5 5/4 27/20 3/2 9/5 2/1, with steps of 27/25 25/24 16/15 25/24 27/25 10/9 6/5 10/9. This is mainly notable for the sheer number of repeated notes, as the [[3-5-9-15_hexany|base hexany]] already has one repeated one reducing it to a pentatonic scale, this duplicates another two, which when combined results in a mere 8 notes rather than 12. As such it is one of the most limited bihexanies possible in terms of combinations and varieties of intervals. While it uses simple 5-limit intervals, they do not approximate a full diatonic scale and only 4 of the notes have perfect fifths above them. At least all the intervals are still melodically useful, which is more than can be said for the even more limited [[3-5-9-15_by_10/9_bihexany]].

<pre>
! 3-5-9-15_by_6/5_Bihexany.scl
!
3 5 9 15 by 6/5 2-combination Bihexany
8
!
133.237
203.910
315.641
386.313
519.551
701.955
1017.596
1200
</pre>

Suggested keyboard mapping: G G# A Bb B C D F G

[[Category:Hexanies]]
[[Category:8-tone scales]]
[[Category:Pages with Scala files]]

3-5-9-15 by 6/5 bihexany - Revision history

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