https://en.xen.wiki/index.php?action=history&feed=atom&title=1-3-5-9-15_dekany 2026-06-05T19:27:15Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-3-5-9-15_dekany&diff=219269&oldid=prev 2025-12-20T00:40:23Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-3-5-9-15_Dekany.png|thumb|Circle diagram.]] [[File:1-3-5-9-15_Dekany_(rotated).png|thumb|Circle diagram (rotated).]] The simplest [[5-limit]] [[dekany]]. This creates a scale of 1 9/8 5/4 45/32 3/2 25/16 5/3 15/8, with steps of 9/8 10/9 9/8 16/15 25/24 16/15 9/8 16/15. This is notable because it is the simplest dekany that winds up with only 8 notes, with 5/4 appearing twice as the reduced product of 1x15 &amp; 3x5 and 15/8 appearing twice as the reduced product of 3x15 &amp; 5x9. This is an unambiguous detemper of the lydian mode of the diatonic scale with a single extra note added on. Since this is one of the least xenharmonic dekanies and relatively limited in compositional options as well, this is easy to work with but not particularly interesting. <br /> <br /> &lt;pre&gt;<br /> ! 1-3-5-9-15_Dekany.scl<br /> !<br /> 1 3 5 9 15 2-combination Dekany<br /> 8<br /> !<br /> 203.910<br /> 386.313<br /> 590.223<br /> 701.955<br /> 772.627<br /> 884.358<br /> 1088.268<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> Suggested keyboard mapping: Start on F, Covering all the white notes, plus C#.<br /> <br /> [[Category:Dekanies]]<br /> [[Category:8-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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