131edo: Difference between revisions

Revision as of 02:11, 31 December 2011

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This revision was by author Andrew_Heathwaite and made on 2011-12-31 02:11:41 UTC.

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=<span style="color: #006985; font-family: 'Times New Roman',Times,serif; font-size: 113%;">131 tone equal temperament</span>= 

**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]].

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

__**Some MOS Scales 'enjoyable' in 131-EDO:**__

|| 33 16 33 33 16 || [[Sub-diatonic Tuning]] (comparable with [[8edo]] and [[99edo]]) ||
|| 23 23 8 23 23 23 8 || [[Pytagorean tuning]] (comparable with [[17edo]]) ||
|| 21 21 13 21 21 21 13 || [[Meantone tuning]] (comparable with [[50edo]]) ||
|| 19 12 19 19 12 19 19 12 || [[Father Tuning]] ([Octal Triatonic mold] comparable with [[55edo]]) ||
|| 18 18 18 18 18 18 18 5 || [[Porcupine Tuning]] (comparable with [[29edo]] and [[80edo]]) ||
|| 17 17 17 6 17 17 17 17 6 || [[Armodue-Hornbostel Tuning]] (comparable with [[23edo]]) ||
|| 13 13 9 13 13 13 9 13 13 13 9 || Improper [[Sensi-11 Tuning]] [Undecimal Triatonic mold] ||
|| 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|[WITNOTS Tuning]]] [Tetradecimal Triatonic mold] ||
|| 21 17 21 17 17 21 17 || [[mohaha7]] ||
|| 4 17 17 17 4 17 17 4 17 17 || [[mohaha10]] ||

==!!!'!!!!'==

Original HTML content:

<html><head><title>131edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x131 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #006985; font-family: 'Times New Roman',Times,serif; font-size: 113%;">131 tone equal temperament</span></h1>
 <br />
<strong>131-EDO</strong>, or <strong>131-tET</strong>, divides the octave into 131 equal steps of approx. 9.160305 Cents, each one. 131edo is the next <a class="wiki_link" href="/EDO">EDO</a>, after <a class="wiki_link" href="/81edo">81edo</a>, on the &quot;Golden Tone System&quot; (<a class="wiki_link" href="/Das%20Goldene%20Tonsystem">Das Goldene Tonsystem</a>) 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 <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bophier temperament</a>.<br />
<br />
131 edo is the 32nd <a class="wiki_link" href="/prime%20numbers">prime</a> edo.<br />
<br />
<u><strong>Some MOS Scales 'enjoyable' in 131-EDO:</strong></u><br />
<br />


<table class="wiki_table">
    <tr>
        <td>33 16 33 33 16<br />
</td>
        <td><a class="wiki_link" href="/Sub-diatonic%20Tuning">Sub-diatonic Tuning</a> (comparable with <a class="wiki_link" href="/8edo">8edo</a> and <a class="wiki_link" href="/99edo">99edo</a>)<br />
</td>
    </tr>
    <tr>
        <td>23 23 8 23 23 23 8<br />
</td>
        <td><a class="wiki_link" href="/Pytagorean%20tuning">Pytagorean tuning</a> (comparable with <a class="wiki_link" href="/17edo">17edo</a>)<br />
</td>
    </tr>
    <tr>
        <td>21 21 13 21 21 21 13<br />
</td>
        <td><a class="wiki_link" href="/Meantone%20tuning">Meantone tuning</a> (comparable with <a class="wiki_link" href="/50edo">50edo</a>)<br />
</td>
    </tr>
    <tr>
        <td>19 12 19 19 12 19 19 12<br />
</td>
        <td><a class="wiki_link" href="/Father%20Tuning">Father Tuning</a> ([Octal Triatonic mold] comparable with <a class="wiki_link" href="/55edo">55edo</a>)<br />
</td>
    </tr>
    <tr>
        <td>18 18 18 18 18 18 18 5<br />
</td>
        <td><a class="wiki_link" href="/Porcupine%20Tuning">Porcupine Tuning</a> (comparable with <a class="wiki_link" href="/29edo">29edo</a> and <a class="wiki_link" href="/80edo">80edo</a>)<br />
</td>
    </tr>
    <tr>
        <td>17 17 17 6 17 17 17 17 6<br />
</td>
        <td><a class="wiki_link" href="/Armodue-Hornbostel%20Tuning">Armodue-Hornbostel Tuning</a> (comparable with <a class="wiki_link" href="/23edo">23edo</a>)<br />
</td>
    </tr>
    <tr>
        <td>13 13 9 13 13 13 9 13 13 13 9<br />
</td>
        <td>Improper <a class="wiki_link" href="/Sensi-11%20Tuning">Sensi-11 Tuning</a> [Undecimal Triatonic mold]<br />
</td>
    </tr>
    <tr>
        <td>11 11 11 11 11 5 11 11 11 11 11 11 5<br />
</td>
        <td>De Vries 13-tone Tuning<br />
</td>
    </tr>
    <tr>
        <td>10 10 10 7 10 10 10 10 7 10 10 10 10 7<br />
</td>
        <td><a class="wiki_link" href="/11L%203s">[WITNOTS Tuning</a>] [Tetradecimal Triatonic mold]<br />
</td>
    </tr>
    <tr>
        <td>21 17 21 17 17 21 17<br />
</td>
        <td><a class="wiki_link" href="/mohaha7">mohaha7</a><br />
</td>
    </tr>
    <tr>
        <td>4 17 17 17 4 17 17 4 17 17<br />
</td>
        <td><a class="wiki_link" href="/mohaha10">mohaha10</a><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x131 tone equal temperament-!!!'!!!!'"></a><!-- ws:end:WikiTextHeadingRule:2 -->!!!'!!!!'</h2>
</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-07-12 01:39:47 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-31 02:11:41 UTC</tt>.<br>
-: The original revision id was <tt>240944173</tt>.<br>
+: The original revision id was <tt>288887321</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: #006985; 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]].
+edo is the 32nd [[prime numbers|prime]] edo.
 __**Some MOS Scales 'enjoyable' in 131-EDO:**__
@@ Line 27: / Line 28: @@
 ==!!!'!!!!'== </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;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: #006985; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;131 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
   &lt;br /&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;br /&gt;
+edo is the 32nd &lt;a class="wiki_link" href="/prime%20numbers"&gt;prime&lt;/a&gt; edo.&lt;br /&gt;
 &lt;br /&gt;
 &lt;u&gt;&lt;strong&gt;Some MOS Scales 'enjoyable' in 131-EDO:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x131 tone equal temperament-!!!'!!!!'"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;!!!'!!!!'&lt;/h2&gt;
 &lt;/body&gt;&lt;/html&gt;</pre></div>

131edo: Difference between revisions

Revision as of 02:11, 31 December 2011

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