https://en.xen.wiki/index.php?action=history&feed=atom&title=5-9-13-15_by_5%2F4_bihexany 2026-08-20T22:38:09Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=5-9-13-15_by_5/4_bihexany&diff=217492&oldid=prev 2025-11-22T09:39:46Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:5-9-13-15_by_5-4_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[bihexany]]. This creates a scale of 1 25/24 13/12 5/4 13/10 65/48 13/9 3/2 13/8 5/3 65/36 15/8 2/1, with steps of 25/24 26/25 15/13 26/25 25/24 16/15 27/26 13/12 40/39 13/12 27/26 16/15. As the [[5-9-13-15_hexany|base hexany]] has 3/2&#039;s and 6/5&#039;s in it, but no 5/4&#039;s, this is the obvious choice to expand it out into a bihexany without repeating any notes, giving you 6 notes with perfect fifths above them, all of which have 5-limit major and/or minor thirds as well, and it proves to be a quite melodically effective one as well, with only one mildly dubious fith-tone and a large semiquartal gap on the opposite side.<br /> <br /> &lt;pre&gt;<br /> ! 5-9-13-15_by_5/4_Bihexany.scl<br /> !<br /> 5 9 13 15 by 5/4 2-combination Bihexany<br /> 12<br /> !<br /> 70.672<br /> 138.572<br /> 386.313<br /> 454.213<br /> 524.886<br /> 636.617<br /> 701.955<br /> 840.527<br /> 884.358<br /> 1022.931<br /> 1088.268<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Hexanies]]<br /> [[Category:12-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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