131edo
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- This revision was by author Osmiorisbendi and made on 2012-04-30 03:35:24 UTC.
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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. 9.160305 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]]. 131edo is the 32nd [[prime numbers|prime]] EDO. __**Some MOS Scales in 131-EDO:**__ || 33 16 33 33 16 || [[3L 2s|Sub-diatonic Tuning]] (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 || Hornbostel 1/17-tone [17;6 superdiatonic relation] (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:<h1> --><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>
<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 "Golden Tone System" (<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 />
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<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">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="/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>Hornbostel 1/17-tone [17;6 superdiatonic relation] (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>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x131 tone equal temperament-!!!'!!!!'"></a><!-- ws:end:WikiTextHeadingRule:2 -->!!!'!!!!'</h2>
</body></html>