https://en.xen.wiki/index.php?action=history&feed=atom&title=3-5-7-9-13-15_pentadekany 2026-08-22T05:04:14Z 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_pentadekany&diff=226325&oldid=prev 2026-03-18T08:39:00Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:3-5-7-9-13-15_Pentadekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 21/20 13/12 9/8 7/6 5/4 13/10 7/5 3/2 91/60 13/8 7/4 9/5 39/20 2/1, with steps of 21/20 65/63 27/26 28/27 15/14 26/25 14/13 15/14 91/90 15/14 14/13 36/35 13/12 40/39. (3/2 appears twice as the reduced product of 3x15 and 5x9) This does have 6 notes with perfect fifths above them, but they are all on one side, with a large gap between 3/2 and 2/1, which somewhat limits your modulation capability. It also has 6 steps larger than 100 cents, which is somewhat surprising in a scale this size, but at least only one is so small as to blur into its neighbour, leaving more than enough good intervals to make tonal composition possible.<br /> <br /> &lt;pre&gt;<br /> ! 3-5-7-9-13-15_Pentadekany.scl<br /> !<br /> 3 5 7 9 13 15 2-combination Pentadekany<br /> 14<br /> !<br /> 84.467<br /> 138.572<br /> 203.910<br /> 266.871<br /> 386.313<br /> 454.213<br /> 582.512<br /> 701.955<br /> 721.084<br /> 840.527<br /> 968.825<br /> 1017.596<br /> 1156.168<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Pentadekanies]]<br /> [[Category:14-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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