422edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''422 equal division'' divides the octave into 422 equal parts of 2.844 cents each.  It is a  [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap, and is distinctly consistent through the 27 limit. In the 5-limit it tempers out the vishnuzma, |23 6 -14&gt;; and in the 7-limit 4375/4374 and 589824/588245 so that it supports [[Ragismic_microtemperaments#Gamera|gamera temperament]], and provides its [[Optimal_patent_val|optimal patent val]], and also supports the 118&amp;152 temperament. A basis for the 11-limit is 3025/3024, 4375/4374, 5632/5625 and 825000/823543.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
[[Category:gamera]]
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-15 12:55:11 UTC</tt>.<br>
[[Category:vishnuzma]]
: The original revision id was <tt>556731989</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 //422 equal division// divides the octave into 422 equal parts of 2.844 cents each.  It is a  [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap, and is distinctly consistent through the 27 limit. In the 5-limit it tempers out the vishnuzma, |23 6 -14&gt;; and in the 7-limit 4375/4374 and 589824/588245 so that it supports [[Ragismic microtemperaments#Gamera|gamera temperament]], and provides its [[optimal patent val]], and also supports the 118&amp;152 temperament. A basis for the 11-limit is 3025/3024, 4375/4374, 5632/5625 and 825000/823543.</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;422edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;422 equal division&lt;/em&gt; divides the octave into 422 equal parts of 2.844 cents each.  It is a  &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta peak edo&lt;/a&gt;, though not zeta integral nor zeta gap, and is distinctly consistent through the 27 limit. In the 5-limit it tempers out the vishnuzma, |23 6 -14&amp;gt;; and in the 7-limit 4375/4374 and 589824/588245 so that it supports &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Gamera"&gt;gamera temperament&lt;/a&gt;, and provides its &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt;, and also supports the 118&amp;amp;152 temperament. A basis for the 11-limit is 3025/3024, 4375/4374, 5632/5625 and 825000/823543.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 422 equal division divides the octave into 422 equal parts of 2.844 cents each. It is a zeta peak edo, though not zeta integral nor zeta gap, and is distinctly consistent through the 27 limit. In the 5-limit it tempers out the vishnuzma, |23 6 -14>; and in the 7-limit 4375/4374 and 589824/588245 so that it supports gamera temperament, and provides its optimal patent val, and also supports the 118&152 temperament. A basis for the 11-limit is 3025/3024, 4375/4374, 5632/5625 and 825000/823543.