https://en.xen.wiki/index.php?action=history&feed=atom&title=1-3-5-7_by_36%2F35_bihexany 2026-07-05T22:31:59Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=1-3-5-7_by_36/35_bihexany&diff=217031&oldid=prev 2025-11-15T11:13:50Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:1-3-5-7_by_36-35_Bihexany.png|thumb|Circle diagram.]] The simplest possible [[Hexany]], offset by the third and most complex of the intervals that produces a full 12 note bihexany with a 3/2 above the root and no duplicate notes. This creates a scale of 1 36/35 7/6 6/5 5/4 9/7 35/24 3/2 5/3 12/7 7/4 9/5 2/1, with steps of 36/35 245/216 36/35 25/24 36/35 245/216 36/35 10/9 36/35 49/48 36/35 10/9. This is a far more xenharmonic way of expanding the [[1-3-5-7 hexany|source hexany]] than the other two, containing multiple strings of quartertones. However, it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents and contains long strings of simple ratios connected by superparticular intervals. 5 of the notes have perfect fifths above them to create stable chords with, but not all of them are mapped to 7 steps above their roots.<br /> <br /> &lt;pre&gt;<br /> ! 1-3-5-7_by_9/7_Bihexany.scl<br /> !<br /> 1 3 5 7 by 9/7 2-combination bihexany<br /> 12<br /> !<br /> 48.770<br /> 266.871<br /> 315.641<br /> 386.313<br /> 435.084<br /> 653.184<br /> 701.955<br /> 884.358<br /> 933.129<br /> 968.825<br /> 1017.596<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> <br /> [[Category:Hexanies]]<br /> [[Category:12-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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