https://en.xen.wiki/index.php?action=history&feed=atom&title=3-7-11-15_by_7%2F5_bihexany 2026-10-10T06:23:42Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=3-7-11-15_by_7/5_bihexany&diff=216849&oldid=prev 2025-11-12T10:42:49Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:3-7-11-15_by_7-5_Biexany.png|thumb|Circle diagram.]] An [[11-limit]] [[bihexany]] with equidistant factors. This creates a scale of 1 15/14 11/10 5/4 77/60 11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 15/14 77/75 25/22 77/75 15/14 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As the [[3-7-11-15_hexany|base hexany]] has factors of 5 on top of half its notes and factors of 7 on the bottom (but not always at the same time), this offset interval is ideal for cancelling them out and producing the greatest number of simple ratios, including a 3/2 above the root for stability, while not introducing any steps smaller than the already existing sixth tone.<br /> <br /> &lt;pre&gt;<br /> ! 3-7-11-15_by_7/5_Bihexany.scl<br /> !<br /> 3 7 11 15 by 7/5 2-combination Bihexany<br /> 12<br /> !<br /> 119.442<br /> 165.004<br /> 386.313<br /> 431.875<br /> 551.317<br /> 582.512<br /> 701.955<br /> 782.492<br /> 968.825<br /> 1049.362<br /> 1168.805<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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