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[[File:1-3-5-9_by_25-18_bihexany.png|thumb|Circle diagram.]] A [[5-limit]] [[bihexany]]. This creates a scale of 1 25/24 9/8 125/108 5/4 125/96 25/18 3/2 25/16 5/3 125/72 15/8 2/1, with steps of 25/24 27/25 250/243 27/25 25/24 16/15 27/25 25/24 16/15 25/24 27/25 16/15. This extends the near complete diatonic scale of the [[1-3-5-9 hexany|base hexany]] into a 12 note scale that is an unambiguous detemper of the chromatic scale of [[1/3-comma meantone]]. It has 8 perfect fifths, 3 which are flat by a [[syntonic comma]] and one extremely sharp wolf fifth which is out by [[128/125]] to close the circle. This does not result in as simple a set of ratios as the [[1-3-5-9 by 64/45 bihexany]] or the [[1-3-5-9 by 7/5 bihexany]], which reflects the fact that 1/3 comma meantone is not quite as optimal a tuning as [[quarter-comma meantone]] or [[septimal meantone]], but still has many highly consonant chords and can be mapped easily to a standard keyboard, although the relatively high frequency of wolf notes means many familiar chord sequences will not work as expected.

<pre>
! 1-3-5-9_by_25/18_Bihexany.scl
!
1 3 5 9 by 25/18 2-combination Bihexany
12
!
70.672
203.910
253.076
386.313
456.986
568.717
701.955
772.627
884.358
955.031
1088.268
1200
</pre>

[[Category:Hexanies]]
[[Category:12-tone scales]]
[[Category:Pages with Scala files]]

1-3-5-9 by 25/18 bihexany - Revision history

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