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2026-07-29T08:47:46Z

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[[File:1-3-5-9_by_27-20_bihexany.png|thumb|Circle diagram.]] The second simplest possible [[Hexany]], offset by a wolf fourth. This creates a scale of 1 81/80 9/8 5/4 81/64 27/20 3/2 243/160 5/3 27/16 15/8 2/1, with steps of 81/80 10/9 10/9 81/80 16/15 10/9 81/80 800/729 81/80 10/9 16/15. This is the most complex way of expanding the [[1-3-5-9 hexany|base hexany]] out that has any duplicated notes, reducing it to a 11 note scale. This does give it a complete diatonic scale, but now four of the notes have multiple variants a comma step apart, which means you can evade wolf notes by playing the correct ones in chords, but also have a wide range of complex and subtle dissonances available if you intentionally choose the wrong notes that make this capable of far more than simply making songs composed using the diatonic scale sound more in tune.

<pre>
! 1-3-5-9_by_27/20_bihexany.scl
!
1 3 5 9 by 27/20 2-combination Bihexany
11
!
21.506
203.910
386.313
407.820
519.551
701.955
723.461
884.358
905.865
1088.268
1200
</pre>

Suggested keyboard mapping: C C# D Eb E F G G# A A# B C.

[[Category:Hexanies]]
[[Category:11-tone scales]]
[[Category:Pages with Scala files]]

1-3-5-9 by 27/20 bihexany - Revision history

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