131edo: Difference between revisions

: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-04-30 03:35:24 UTC</tt>.<br>

: The original revision id was <tt>327195806</tt>.<br>

<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">=&lt;span style="color: #006285; font-family: "Times New Roman",Times,serif; font-size: 113%;"&gt;131 tone equal temperament&lt;/span&gt;=  

**131-EDO**, or **131-tET**, divides the octave into 131 equal steps of approx. 9.160305 Cents, each one. 131edo is the next [[EDO]], after [[81edo]], on the "Golden Tone System" ([[Das Goldene Tonsystem]]) of Thorvald Kornerup, using the 131b val. The patent val has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out 81/80 it tempers out the immunity comma, 1638400/1594323. In the 7-limit it tempers out 3125/3087 and 245/243, so that it supports [[Sensamagic clan#Bohpier|bophier temperament]].

|| 33 16 33 33 16 || [[3L 2s|Sub-diatonic Tuning]] (comparable with [[8edo]] and [[99edo]]) ||

|| 17 17 17 6 17 17 17 17 6 || Hornbostel 1/17-tone [17;6 superdiatonic relation] (comparable with [[23edo]]) ||

<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;131edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x131 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #006285; font-family: "Times New Roman",Times,serif; font-size: 113%;"&gt;131 tone equal temperament&lt;/span&gt;&lt;/h1&gt;

  &lt;strong&gt;131-EDO&lt;/strong&gt;, or &lt;strong&gt;131-tET&lt;/strong&gt;, divides the octave into 131 equal steps of approx. 9.160305 Cents, each one. 131edo is the next &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;, after &lt;a class="wiki_link" href="/81edo"&gt;81edo&lt;/a&gt;, on the &amp;quot;Golden Tone System&amp;quot; (&lt;a class="wiki_link" href="/Das%20Goldene%20Tonsystem"&gt;Das Goldene Tonsystem&lt;/a&gt;) of Thorvald Kornerup, using the 131b val. The patent val has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out 81/80 it tempers out the immunity comma, 1638400/1594323. In the 7-limit it tempers out 3125/3087 and 245/243, so that it supports &lt;a class="wiki_link" href="/Sensamagic%20clan#Bohpier"&gt;bophier temperament&lt;/a&gt;.&lt;br /&gt;

         &lt;td&gt;&lt;a class="wiki_link" href="/3L%202s"&gt;Sub-diatonic Tuning&lt;/a&gt; (comparable with &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt; and &lt;a class="wiki_link" href="/99edo"&gt;99edo&lt;/a&gt;)&lt;br /&gt;

         &lt;td&gt;Hornbostel 1/17-tone [17;6 superdiatonic relation] (comparable with &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt;)&lt;br /&gt;