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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
=<span style="color: #006285; font-family: 'Times New Roman',Times,serif; font-size: 113%;">131 tone equal temperament</span>=
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>2014-02-08 10:52:32 UTC</tt>.<br>
: The original revision id was <tt>488136750</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">=&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. 9.1603 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]].
'''131-EDO''', or '''131-tET''', divides the octave into 131 equal steps of approx. 9.1603 Cents, each one. 131edo is the next [[EDO|EDO]], after [[81edo|81edo]], on the "Golden Tone System" ([[Das_Goldene_Tonsystem|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]].


131edo is the 32nd [[prime numbers|prime]] EDO.
131edo is the 32nd [[prime_numbers|prime]] EDO.


__**Some MOS Scales in 131-EDO:**__
<u>'''Some MOS Scales in 131-EDO:'''</u>


|| 33 16 33 33 16 || [[3L 2s|Pentatonic]] (comparable with [[8edo]] and [[99edo]]) ||
{| class="wikitable"
|| 23 23 8 23 23 23 8 || [[5L 2s|Pytagorean tuning]] (comparable with [[17edo]]) ||
|-
|| 21 21 13 21 21 21 13 || [[5L 2s|Meantone tuning]] (comparable with [[50edo]]) ||
| | 33 16 33 33 16
|| 19 12 19 19 12 19 19 12 || [[5L 3s|Father Tuning]] (comparable with [[55edo]]) ||
| | [[3L_2s|Pentatonic]] (comparable with [[8edo|8edo]] and [[99edo|99edo]])
|| 18 18 18 18 18 18 18 5 || [[7L 1s|Porcupine Tuning]] (comparable with [[29edo]] and [[80edo]]) ||
|-
|| 17 17 17 6 17 17 17 17 6 || [[7L 2s|Superdiatonic tuning]] (comparable with [[23edo]]) ||
| | 23 23 8 23 23 23 8
|| 13 13 9 13 13 13 9 13 13 13 9 || Improper [[Sensi-11 Tuning]] ||
| | [[5L_2s|Pytagorean tuning]] (comparable with [[17edo|17edo]])
|| 11 11 11 11 11 5 11 11 11 11 11 11 5 || De Vries 13-tone Tuning ||
|-
|| 10 10 10 7 10 10 10 10 7 10 10 10 10 7 || [[11L 3s|Ketradektriatoh Tuning]] ||
| | 21 21 13 21 21 21 13
|| 21 17 21 17 17 21 17 || [[mohaha7]] ||
| | [[5L_2s|Meantone tuning]] (comparable with [[50edo|50edo]])
|| 4 17 17 17 4 17 17 4 17 17 || [[mohaha10]] ||
|-
 
| | 19 12 19 19 12 19 19 12
</pre></div>
| | [[5L_3s|Father Tuning]] (comparable with [[55edo|55edo]])
<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;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;
| | 18 18 18 18 18 18 18 5
&lt;br /&gt;
| | [[7L_1s|Porcupine Tuning]] (comparable with [[29edo|29edo]] and [[80edo|80edo]])
&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. 9.1603 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;br /&gt;
| | 17 17 17 6 17 17 17 17 6
131edo is the 32nd &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime&lt;/a&gt; EDO.&lt;br /&gt;
| | [[7L_2s|Superdiatonic tuning]] (comparable with [[23edo|23edo]])
&lt;br /&gt;
|-
&lt;u&gt;&lt;strong&gt;Some MOS Scales in 131-EDO:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
| | 13 13 9 13 13 13 9 13 13 13 9
&lt;br /&gt;
| | Improper [[Sensi-11_Tuning|Sensi-11 Tuning]]
 
|-
 
| | 11 11 11 11 11 5 11 11 11 11 11 11 5
&lt;table class="wiki_table"&gt;
| | De Vries 13-tone Tuning
    &lt;tr&gt;
|-
        &lt;td&gt;33 16 33 33 16&lt;br /&gt;
| | 10 10 10 7 10 10 10 10 7 10 10 10 10 7
&lt;/td&gt;
| | [[11L_3s|Ketradektriatoh Tuning]]
        &lt;td&gt;&lt;a class="wiki_link" href="/3L%202s"&gt;Pentatonic&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;
| | 21 17 21 17 17 21 17
    &lt;/tr&gt;
| | [[mohaha7|mohaha7]]
    &lt;tr&gt;
|-
        &lt;td&gt;23 23 8 23 23 23 8&lt;br /&gt;
| | 4 17 17 17 4 17 17 4 17 17
&lt;/td&gt;
| | [[mohaha10|mohaha10]]
        &lt;td&gt;&lt;a class="wiki_link" href="/5L%202s"&gt;Pytagorean tuning&lt;/a&gt; (comparable with &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;)&lt;br /&gt;
|}
&lt;/td&gt;
[[Category:131-tone]]
    &lt;/tr&gt;
[[Category:131edo]]
    &lt;tr&gt;
[[Category:armodue]]
        &lt;td&gt;21 21 13 21 21 21 13&lt;br /&gt;
[[Category:bohpier]]
&lt;/td&gt;
[[Category:equal]]
        &lt;td&gt;&lt;a class="wiki_link" href="/5L%202s"&gt;Meantone tuning&lt;/a&gt; (comparable with &lt;a class="wiki_link" href="/50edo"&gt;50edo&lt;/a&gt;)&lt;br /&gt;
[[Category:golden]]
&lt;/td&gt;
[[Category:golden_meantone]]
    &lt;/tr&gt;
[[Category:immunity]]
    &lt;tr&gt;
[[Category:meantone]]
        &lt;td&gt;19 12 19 19 12 19 19 12&lt;br /&gt;
[[Category:prime_edo]]
&lt;/td&gt;
[[Category:theory]]
        &lt;td&gt;&lt;a class="wiki_link" href="/5L%203s"&gt;Father Tuning&lt;/a&gt; (comparable with &lt;a class="wiki_link" href="/55edo"&gt;55edo&lt;/a&gt;)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18 18 18 18 18 18 18 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/7L%201s"&gt;Porcupine Tuning&lt;/a&gt; (comparable with &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt; and &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt;)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17 17 17 6 17 17 17 17 6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/7L%202s"&gt;Superdiatonic tuning&lt;/a&gt; (comparable with &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt;)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13 13 9 13 13 13 9 13 13 13 9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Improper &lt;a class="wiki_link" href="/Sensi-11%20Tuning"&gt;Sensi-11 Tuning&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11 11 11 11 11 5 11 11 11 11 11 11 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;De Vries 13-tone Tuning&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10 10 10 7 10 10 10 10 7 10 10 10 10 7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/11L%203s"&gt;Ketradektriatoh Tuning&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21 17 21 17 17 21 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/mohaha7"&gt;mohaha7&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4 17 17 17 4 17 17 4 17 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/mohaha10"&gt;mohaha10&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/131edo"