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2026-07-23T15:15:48Z

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[[File:1-3-5-9_by_4-3_bihexany.png|thumb|Circle diagram.]] The second simplest possible [[Hexany]], offset by a perfect fourth or fifth. This creates a scale of 1 10/9 9/8 5/4 4/3 3/2 5/3 15/8 2/1, with steps of 10/9 81/80 10/9 16/15 9/8 10/9 9/8 16/15. The [[1-3-5-9 hexany|base hexany]] is a near complete diatonic scale, this completes it and allows you to deal with the problem of wolf fifths by having two different D notes, one corresponding to 10/9 and the other to 9/8. This means any music that uses the standard diatonic scale without any accidentals can be translated to this scale, and it will sound completely unxenharmonic as long as you use the correct one of the two D's for chords and don't play both at once. However, the large number of repeated notes reduces this from 12 notes to 8, which makes it relatively limited as bihexanies go, and there are other ones that contain all these notes and more, making them objectively superior in terms of options.

<pre>
! 1-3-5-9_Stellated_Hexany.scl
!
1 3 5 9 1-3-combination Hexany
8
!
182.403
203.901
386.313
498.044
701.955
884.358
1088.268
1200
</pre>

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

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

1-3-5-9 by 4/3 bihexany - Revision history

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