131edo

From Xenharmonic Wiki
Revision as of 10:52, 8 February 2014 by Wikispaces>genewardsmith (**Imported revision 488136750 - Original comment: **)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2014-02-08 10:52:32 UTC.
The original revision id was 488136750.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

=<span style="color: #006285; 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. 9.1603 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]].

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

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

|| 33 16 33 33 16 || [[3L 2s|Pentatonic]] (comparable with [[8edo]] and [[99edo]]) ||
|| 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]]) ||
|| 19 12 19 19 12 19 19 12 || [[5L 3s|Father Tuning]] (comparable with [[55edo]]) ||
|| 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]]) ||
|| 13 13 9 13 13 13 9 13 13 13 9 || Improper [[Sensi-11 Tuning]] ||
|| 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 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: #006285; 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. 9.1603 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 />
131edo is the 32nd <a class="wiki_link" href="/prime%20numbers">prime</a> EDO.<br />
<br />
<u><strong>Some MOS Scales 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="/3L%202s">Pentatonic</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="/5L%202s">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="/5L%202s">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="/5L%203s">Father Tuning</a> (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="/7L%201s">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="/7L%202s">Superdiatonic 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><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">Ketradektriatoh Tuning</a><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>

</body></html>
Retrieved from "https://en.xen.wiki/index.php?title=131edo&oldid=4723"