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2026-07-26T05:55:29Z

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[[File:1-3-5-9_by_10-9_bihexany.png|thumb|Circle diagram.]] The second simplest possible [[Hexany]], offset by a small major second. This creates a scale of 1 25/24 10/9 9/8 5/4 25/18 3/2 5/3 50/27 15/8 2/1, with steps of 25/24 16/15 81/80 10/9 10/9 27/25 10/9 10/9 81/80 16/15. This is the second of three different ways of expanding the [[1-3-5-9 hexany|base hexany]] out that has two duplicated notes, reducing it to a 10 note scale. This is an 8 note chain of fifths where two of the notes have variants a [[syntonic comma]] apart that let you evade or accentuate dissonance. This means any music that uses the diatonic scale plus a single accidental at one end of the chain can be translated to this, and it will sound more in tune as long as you use the correct comma steps for the chords and don't play both notes 20 cents apart at once.

<pre>
! 1-3-5-9_by_10/9_bihexany.scl
!
1 3 5 9 by 10/9 2-combination Bihexany
10
!
70.672
182.403
203.910
386.313
568.717
701.955
884.358
1066.762
1088.268
1200
</pre>

Suggested keyboard mapping: F F# G G# A B C D Eb E F. Note that due to the many small steps around the root, 9/8 is mapped to G#, which may be unintuitive to play initially.

[[Category:Hexanies]]
[[Category:10-tone scales]]
[[Category:Pages with Scala files]]

1-3-5-9 by 10/9 bihexany - Revision history

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