7033edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 7033 equal division divides the octave into 7033 equal parts of 0.17062 cents each. It is a  [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak and integral edo]]; it is not known at this time (2015) if it is a gap edo, but it seems unlikely. This excellence is explained by the fact that it is very strong in the 17-limit, with a lower [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller division, and a lower [[Tenney-Euclidean_metrics#Logflat TE badness| TE loglfat badness]] than any lower edo excepting [[72edo|72]]. A basis for its 17-limit commas is {28561/28560, 31213/31212, 37180/37179, 918750/918731, 1257795/1257728, 3070625/3070548}.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-21 13:09:10 UTC</tt>.<br>
: The original revision id was <tt>557121779</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The 7033 equal division divides the octave into 7033 equal parts of 0.17062 cents each. It is a  [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak and integral edo]]; it is not known at this time (2015) if it is a gap edo, but it seems unlikely. This excellence is explained by the fact that it is very strong in the 17-limit, with a lower [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any smaller division, and a lower [[Tenney-Euclidean metrics#Logflat TE badness| TE loglfat badness]] than any lower edo excepting [[72edo|72]]. A basis for its 17-limit commas is {28561/28560, 31213/31212, 37180/37179, 918750/918731, 1257795/1257728, 3070625/3070548}.</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;7033edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 7033 equal division divides the octave into 7033 equal parts of 0.17062 cents each. It is a  &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta peak and integral edo&lt;/a&gt;; it is not known at this time (2015) if it is a gap edo, but it seems unlikely. This excellence is explained by the fact that it is very strong in the 17-limit, with a lower &lt;a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness"&gt;relative error&lt;/a&gt; than any smaller division, and a lower &lt;a class="wiki_link" href="/Tenney-Euclidean%20metrics#Logflat TE badness"&gt; TE loglfat badness&lt;/a&gt; than any lower edo excepting &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;. A basis for its 17-limit commas is {28561/28560, 31213/31212, 37180/37179, 918750/918731, 1257795/1257728, 3070625/3070548}.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 7033 equal division divides the octave into 7033 equal parts of 0.17062 cents each. It is a zeta peak and integral edo; it is not known at this time (2015) if it is a gap edo, but it seems unlikely. This excellence is explained by the fact that it is very strong in the 17-limit, with a lower relative error than any smaller division, and a lower TE loglfat badness than any lower edo excepting 72. A basis for its 17-limit commas is {28561/28560, 31213/31212, 37180/37179, 918750/918731, 1257795/1257728, 3070625/3070548}.