https://en.xen.wiki/index.php?action=history&feed=atom&title=3-5-7-15_by_9%2F8_bihexany3-5-7-15 by 9/8 bihexany - Revision history2026-07-03T06:52:54ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=3-5-7-15_by_9/8_bihexany&diff=216327&oldid=prevYourmusic Productions: Create Page.2025-11-07T02:32:40Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:3-5-7-15_by_9-8_Bihexany.png|thumb|Circle diagram.]] A 7-limit [[bihexany]]. This creates a scale of 1 9/8 7/6 5/4 21/16 7/5 45/32 3/2 63/40 27/16 7/4 63/32 2/1, with steps of 9/8 28/27 15/14 21/20 16/15 225/224 16/15 21/20 15/14 28/27 9/8 64/63. Since the [[3-5-7-15_hexany|base hexany]] contains every interval in the [[7-odd-limit]] [[tonality diamond]], this may seem like the obvious choice for expanding it outwards, and it does indeed contain at least one copy of every interval in the [[9-odd-limit]] tonality diamond, including 6 perfect fifths. However, it also contains two steps that are small enough to blur into their neighbours, making it closer to a decatonic scale for melodic purposes and no longer optimal for its size. <br />
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<pre><br />
! 3-5-7-15_by_9/8_Hexany.scl<br />
!<br />
3 5 7 15 by 9/8 2-combination Hexany<br />
12<br />
!<br />
203.910<br />
266.871<br />
386.313<br />
470.781<br />
582.512<br />
590.223<br />
701.955<br />
786.422<br />
905.865<br />
968.825<br />
1172.735<br />
1200<br />
</pre><br />
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[[Category:Hexanies]]<br />
[[Category:12-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions