https://en.xen.wiki/index.php?action=history&feed=atom&title=1-5-7-9-11-13-15_enaeikosany 2026-08-28T04:16:25Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-5-7-9-11-13-15_enaeikosany&diff=232429&oldid=prev 2026-06-19T08:36:07Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-5-7-9-11-13-15_Enaeikosany.png|thumb|Circle diagram.]] [[File:1-5-7-9-11-13-15_Enaeikosany_(rotated).png|thumb|Circle diagram (rotated).]] A [[15-odd-limit]] [[enaeikosany]]. This creates a scale of 1 33/32 11/10 9/8 91/80 39/32 99/80 13/10 21/16 11/8 7/5 117/80 3/2 63/40 13/8 27/16 7/4 143/80 9/5 15/8 77/40 2/1, with steps of 33/32 16/15 45/44 91/90 15/14 66/65 104/99 105/104 22/21 56/55 117/112 40/39 21/20 65/40 27/26 28/27 143/140 144/143 25/24 77/75 80/77. Despite not having 3 as a factor, the combination of 15/5 and 9 means it still has 6 perfect fifths to build stable chords upon, plus multiple imperfect but diatonic ones as well, with the best selection of thirds being above the 3/2. Since it has a near complete otonal set of harmonics from 8-16 in multiple modes, this is quite high in consonance in general despite having several melodically awkward comma steps.<br /> <br /> &lt;pre&gt;<br /> ! 1-5-7-9-11-13-15_Enaeikosany.scl<br /> !<br /> 1 5 7 9 11 13 15 2-combination Enaeikosany<br /> 21<br /> !<br /> 53.272<br /> 165.004<br /> 203.910<br /> 223.039<br /> 342.482<br /> 368.914<br /> 454.213<br /> 470.781<br /> 551.317<br /> 582.512<br /> 658.123<br /> 701.955<br /> 786.422<br /> 840.527<br /> 905.865<br /> 968.825<br /> 1005.531<br /> 1017.596<br /> 1088.268<br /> 1133.830<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Enaeikosanies]]<br /> [[Category:21-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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