https://en.xen.wiki/index.php?action=history&feed=atom&title=1-5-9-15_by_64%2F45_bihexany1-5-9-15 by 64/45 bihexany - Revision history2026-08-20T22:37:45ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=1-5-9-15_by_64/45_bihexany&diff=214390&oldid=prevYourmusic Productions: Create Page.2025-10-24T19:00:08Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:1-5-9-15_by_64-45_Bihexany.png|thumb|Circle diagram.]] A [[5-limit]] [[bihexany]]. This creates a scale of 1 16/15 9/8 6/5 32/25 4/3 64/45 3/2 8/5 27/16 9/5 15/8 2/1, with steps of 16/15 135/128 16/15 16/15 25/24 16/15 135/128 16/15 135/128 16/15 25/24 16/15. This may seem like a complex interval to offset the [[1-5-9-15 hexany|base hexany]] by, but many of the factors cancel out, leaving a quite even (1.58:1) 12 note scale with only three different step sizes that maps unambiguously to a standard keyboard, with the main oddity being the 32/25 above the root note instead of a 5/4. 8 of the notes have perfect fifths above them, 2 are sharp by [[2048/2025]], 1 is flat by [[81/80]] and 1 is flat by [[128/125]].<br />
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<pre><br />
! 1-5-9-15_by_64/45_Bihexany.scl<br />
!<br />
1 5 9 15 by 64/45 2-combination Bihexany<br />
12<br />
!<br />
111.731<br />
203.910<br />
315.641<br />
427.372<br />
498.044<br />
609.776<br />
701.955<br />
813.686<br />
905.865<br />
1017.596<br />
1088.268<br />
1200<br />
</pre><br />
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[[Category:Hexanies]]<br />
[[Category:12-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions