https://en.xen.wiki/index.php?action=history&feed=atom&title=1-5-7-9-11-13_eikosany 2026-07-09T07:14:38Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-5-7-9-11-13_eikosany&diff=223720&oldid=prev 2026-02-10T10:16:23Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-5-7-9-11-13_Eikosany.png|thumb|Circle diagram.]] A [[13-odd-limit]] [[eikosany]]. This creates a scale of 1 143/140 117/112 11/10 9/8 1287/1120 99/80 143/112 9/7 13/10 11/8 99/70 117/80 11/7 13/8 117/70 99/56 143/80 9/5 13/7 2/1, with steps of 143/140 45/44 616/585 45/44 143/140 14/13 65/63 144/143 91/90 55/52 36/35 91/88 880/819 91/88 36/35 55/52 91/90 144/143 65/63 14/13. This is the simplest eikosany that does not have any perfect fifths, although at this density of notes, there are several reasonable approximations: a 5 cent sharp one between 117/112 &amp; 11/7, a 0.8 cent sharp one between 99/80 &amp; 13/7 and another 5 cent sharp one between 117/80 &amp; 11/10. This means it does have more than one stable rooting point that gives it compositional possibilities beyond modal droning or unmoored chaos, and of course there are many interesting melodic options available with this many notes to choose from.<br /> <br /> &lt;pre&gt;<br /> ! 1-5-7-9-11-13_Eikosany.scl<br /> !<br /> 1 5 7 9 11 13 3-combination Eikosany<br /> 20<br /> !<br /> 36.705<br /> 75.611<br /> 165.004<br /> 203.910<br /> 240.615<br /> 368.914<br /> 423.019<br /> 435.084<br /> 454.213<br /> 551.317<br /> 600.088<br /> 658.123<br /> 782.492<br /> 840.527<br /> 889.298<br /> 986.402<br /> 1005.531<br /> 1017.596<br /> 1071.701<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Eikosanies]]<br /> [[Category:20-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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