https://en.xen.wiki/index.php?action=history&feed=atom&title=3-5-9-11-13-15_eikosany 2026-08-04T21:10:41Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=3-5-9-11-13-15_eikosany&diff=226720&oldid=prev 2026-03-23T09:21:02Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:3-5-9-11-13-15_Eikosany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[eikosany]]. This creates a scale of 1 13/12 11/10 143/120 11/9 5/4 13/10 143/108 11/8 13/9 3/2 55/36 143/90 13/8 5/3 65/36 11/6 143/72 2/1, with steps of 13/12 66/65 13/12 40/39 45/44 26/25 55/54 27/26 104/99 27/26 55/54 26/25 45/44 40/39 13/12 66/65 13/12 144/143. (11/6 and 13/12 appear twice, reducing it to an 18 note scale) This is an extremely lopsided eikosany contaning tiny comma steps and large gaps on one side of the scale and a more even fan of notes on the other. It has 8 perfect fifths, plus plenty of additional imperfect ones due to all the comma steps and it is not impossible to construct consonant chords in it, but melodically it is very xenharmonic, with the two sides of the scale obviously distinct to even untrained ears.<br /> <br /> &lt;pre&gt;<br /> ! 3-5-9-11-13-15_Eikosany.scl<br /> !<br /> 3 5 9 11 13 15 3-combination Eikosany<br /> 18<br /> !<br /> 138.572<br /> 165.004<br /> 303.576<br /> 347.407<br /> 386.313<br /> 454.213<br /> 485.980<br /> 551.317<br /> 636.617<br /> 701.955<br /> 733.721<br /> 801.621<br /> 840.527<br /> 884.358<br /> 1022.931<br /> 1049.362<br /> 1187.935<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Eikosanies]]<br /> [[Category:18-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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