https://en.xen.wiki/index.php?action=history&feed=atom&title=1-5-11-15_by_40%2F33_bihexany1-5-11-15 by 40/33 bihexany - Revision history2026-07-07T14:16:31ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=1-5-11-15_by_40/33_bihexany&diff=214674&oldid=prevYourmusic Productions: Create Page.2025-10-26T11:22:46Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:1-5-11-15_by_40-33_Bihexany.png|thumb|Circle diagram.]] An [[11-limit]] [[Bihexany]]. This creates a scale of 1 33/32 11/10 25/22 40/33 5/4 4/3 11/8 3/2 5/3 20/11 15/8 2/1, with steps of 33/32 16/15 125/121 16/15 33/32 16/15 33/32 12/11 10/9 12/11 33/32 16/15. This may seem like a complex interval to offset the [[1-5-11-15_hexany|base hexany]] by, but many of the ratios cancel out, making the offset the most complex ratio and putting a pure 5/4, 4/3 & 5/3 above the root, while making none of the single steps smaller than the already existing 33/32 one. 6 of the notes have perfect fifths above them and 3 more have imperfect but usable ones of approximately 720 cents, although as is often the case with these scales, not all of them are 7 steps above their root.<br />
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<pre><br />
! 1-5-11-15_by_40/33_BiHexany.scl<br />
!<br />
1 5 11 15 by 40/33 2-combination Hexany<br />
12<br />
!<br />
53.272<br />
165.004<br />
221.309<br />
333.040<br />
386.313<br />
498.044<br />
551.317<br />
701.955<br />
884.358<br />
1034.995<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