https://en.xen.wiki/index.php?action=history&feed=atom&title=1-5-7-9-11-15_pentadekany 2026-07-06T18:07:26Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-5-7-9-11-15_pentadekany&diff=225190&oldid=prev 2026-03-05T11:56:02Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-5-7-9-11-15_Pentadekany.png|thumb|Circle diagram.]] [[File:1-5-7-9-11-15_Pentadekany_(rotated).png|thumb|Circle diagram (rotated).]] A [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 33/32 11/10 9/8 99/80 21/16 11/8 7/5 3/2 63/40 27/16 7/4 9/5 15/8 77/40 2/1, with steps of 33/32 16/15 45/44 11/10 35/33 22/21 56/55 15/14 21/20 15/14 28/27 36/35 25/24 77/75 80/77 2/1. With 5 perfect fifths, plus several more imperfect ones that still fall into the diatonic range, such as the [[225/224]] flat one above 15/8 and and the [[100/99]] sharp one above 99/80, this is quite strong both melodically and harmonically, with the only melodically dubious step between 11/7 &amp; 7/5. While it does have a perfect fifth above the root, the most stable mode is probably the one above the 3/2, as that has both 5-limit major &amp; minor chords above it. <br /> <br /> &lt;pre&gt;<br /> ! 1-5-7-9-11-15_Pentadekany.scl<br /> !<br /> 1 5 7 9 11 15 2-combination Pentadekany<br /> 15<br /> !<br /> 53.272<br /> 165.004<br /> 203.910<br /> 368.914<br /> 470.781<br /> 551.317<br /> 582.512<br /> 701.955<br /> 786.422<br /> 905.865<br /> 968.825<br /> 1017.596<br /> 1088.268<br /> 1033.830<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Pentadekanies]]<br /> [[Category:15-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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