https://en.xen.wiki/index.php?action=history&feed=atom&title=3-5-7-9-13-15_eikosany 2026-06-05T06:18:56Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=3-5-7-9-13-15_eikosany&diff=226414&oldid=prev 2026-03-19T10:06:26Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:3-5-7-9-13-15_Eikosany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[eikosany]]. This creates a scale of 1 117/112 15/14 13/12 9/8 65/56 5/4 9/7 13/10 39/28 3/2 45/28 13/8 117/70 9/5 13/7 27/14 39/20 2/1, with steps of 117/112 40/39 91/90 27/26 65/63 14/13 36/35 91/90 15/14 14/13 15/14 91/90 36/35 14/13 65/63 27/26 91/90 40/39. (3/2 and 39/28 appear twice, reducing this to an 18 note scale) On top of the 2 directly repeated notes, it also has 4 comma steps of 91/90 that blur into their neighbours when played together, making it not particularly optimal for its size melodically. It does still have 8 perfect fifths though, plus a couple of imperfect but still usable ones flat by [[105/104]] and one sharp by [[351/350]], which means there are plenty of consonant chords available as long as you don&#039;t hit the wrong adjacent notes.<br /> <br /> &lt;pre&gt;<br /> ! 3-5-7-9-13-15_Eikosany.scl<br /> !<br /> 3 5 7 9 13 15 3-combination Eikosany<br /> 18<br /> !<br /> 75.611<br /> 119.442<br /> 138.572<br /> 203.910<br /> 258.015<br /> 386.313<br /> 435.084<br /> 454.213<br /> 573.656<br /> 701.955<br /> 821.397<br /> 840.527<br /> 889.298<br /> 1017.596<br /> 1071.701<br /> 1137.039<br /> 1156.168<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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