https://en.xen.wiki/index.php?action=history&feed=atom&title=1-3-5-7-9-11-15_enaeikosany 2026-07-06T07:36:35Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-3-5-7-9-11-15_enaeikosany&diff=232083&oldid=prev 2026-06-09T08:41:50Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-3-5-7-9-11-15_Enaeikosany.png|thumb|Circle diagram.]] The second simplest possible [[enaeikosany]]. This creates a scale of 1 33/32 35/32 9/8 55/48 7/6 5/4 21/16 11/8 45/32 35/24 3/2 25/16 77/48 5/3 55/32 7/4 11/6 15/8 2/1, with steps of 33/32 35/33 36/35 55/54 56/55 15/14 21/20 22/21 45/44 28/27 36/35 25/24 77/75 80/77 33/32 56/55 22/21 45/44 16/15. As usual, the introduction of factors of 15 results in some duplicated notes, reducing this to a 19 note scale. However, as all the notes that remain are now easily distinct, the resulting scale is actually more melodically effective and easier to work with than the [[1-3-5-7-9-11-13_enaeikosany|simplest enaeikosany]]. 11 of the notes have perfect fifths above them and all of them have multiple usable thirds, making composition relatively convenient for a larger just intonation scale.<br /> <br /> &lt;pre&gt;<br /> ! 1-3-5-7-9-11-15_Enaeikosany.scl<br /> !<br /> 1 3 5 7 9 11 15 2-combination Enaeikosany<br /> 19<br /> !<br /> 53.272<br /> 138.572<br /> 203.910<br /> 235.676<br /> 266.871<br /> 342.482<br /> 386.313<br /> 470.781<br /> 524.886<br /> 551.317<br /> 653.184<br /> 689.890<br /> 701.955<br /> 818.188<br /> 840.527<br /> 884.358<br /> 968.825<br /> 1049.362<br /> 1088.268<br /> 1107.398<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Enaeikosanies]]<br /> [[Category:19-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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