https://en.xen.wiki/index.php?action=history&feed=atom&title=3-5-11-15_stellated_hexany 2026-07-03T18:08:57Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=3-5-11-15_stellated_hexany&diff=230646&oldid=prev 2026-05-20T06:13:09Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:3-5-11-15_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:3-5-11-15_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] An [[11-limit]] Stellated [[Hexany]]. This creates a scale of 1 275/256 55/48 75/64 5/4 165/128 11/8 25/16 5/3 55/32 11/6 15/8 2/1, with steps of 275/256 16/15 45/44 16/15 33/32 16/15 25/22 16/15 33/32 16/15 45/44 16/15. (5/4 and 55/48 each appear twice, reducing this to a 12 note scale). Due to the repeated notes, this can be mapped onto a standard keyboard. Unlike the [[3-5-11-15_hexany|base hexany]], this does not put a 3/2 above the root and so is best used in a rotated mode that has the greatest number of simple ratios. It does have 6 perfect fifths and a decent number of highly consonant chords, but it also has two comma sized steps that are on the borderline of useful size for melody, making it highly usable but not completely optimal as a 12-note scale. <br /> <br /> &lt;pre&gt;<br /> ! 3-5-11-15_Stellated_Hexany.scl<br /> !<br /> 3 5 11 15 1-3 combination Hexany<br /> 12<br /> !<br /> 123.945<br /> 235.676<br /> 274.582<br /> 386.313<br /> 439.586<br /> 551.317<br /> 772.627<br /> 884.358<br /> 937.631<br /> 1049.362<br /> 1088.268<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Hexanies]]<br /> [[Category:12-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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