https://en.xen.wiki/index.php?action=history&feed=atom&title=1-7-13-15_hexany1-7-13-15 hexany - Revision history2026-06-12T18:00:32ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=1-7-13-15_hexany&diff=215948&oldid=prevYourmusic Productions: Create Page.2025-11-03T10:29:50Z<p>Create Page.</p>
<p><b>New page</b></p><div>[[File:1-7-13-15_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/8 195/112 13/7 15/8, with steps of 15/14 91/60 15/14 16/15 105/104 16/15. This is an extremely lopsided hexany with a gap of more than 700 cents on one side. It is of interest though, as it very precisely approximates half of [[10edo]] with one of the notes detempered into two notes a small comma apart. This is explained by the fact that 10edo tempers out [[43904/43875]], turning the fragment of the harmonic series 13:14:15:16 into equidistant steps quite accurately. This means that offsetting by any interval near 600 cents will create a bihexany that approximates all intervals in 10edo within less than 10 cents while allowing for beating effects by exploiting the microtones that an equal temperament does not.<br />
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<pre><br />
! 1-7-13-15_Hexany.scl<br />
!<br />
1 7 13 15 2-combination Hexany<br />
6<br />
!<br />
119.442<br />
840.527<br />
959.970<br />
1071.701<br />
1088.268<br />
1200<br />
</pre><br />
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Suggested keyboard mapping: C Db G# A Bb B C<br />
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[[Category:Hexanies]]<br />
[[Category:6-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions