https://en.xen.wiki/index.php?action=history&feed=atom&title=1-3-5-9_by_16%2F15_bihexany1-3-5-9 by 16/15 bihexany - Revision history2026-10-11T22:27:20ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=1-3-5-9_by_16/15_bihexany&diff=234835&oldid=prevYourmusic Productions: Create Page.2026-07-28T18:41:12Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:1-3-5-9_by_16-15_bihexany.png|thumb|Circle diagram.]] The second simplest possible [[Hexany]], offset by a minor second. This creates a scale of 1 16/15 9/8 6/5 5/4 4/3 3/2 8/5 5/3 16/9 15/8 2/1, with steps of 16/15 135/128 16/15 25/24 16/15 9/8 16/15 25/24 16/15 135/128 16/15. This is the simpler of two different ways of expanding the [[1-3-5-9 hexany|base hexany]] out that has one duplicated note, reducing it to a 11 note scale. It turns it from a near complete diatonic scale to a near complete chromatic scale with 8 perfect fifths and two wolf ones. This means most common practice music can be translated to it, but due to the longer chain of perfect fifths in the centre, some of the thirds are pythagorean, while others are 5-limit, which means the character of a song will change dramatically if you transpose it to a different key.<br />
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<pre><br />
! 1-3-5-9_by_16/15_bihexany.scl<br />
!<br />
1 3 5 9 by 16/15 2-combination Bihexany<br />
11<br />
!<br />
111.731<br />
203.910<br />
315.641<br />
386.313<br />
498.044<br />
701.955<br />
813.686<br />
884.358<br />
996.089<br />
1088.268<br />
1200<br />
</pre><br />
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Suggested keyboard mapping: C Db D Eb F G Ab A Bb B C. <br />
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[[Category:Hexanies]]<br />
[[Category:11-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions