131edo
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 2011-06-29 14:49:32 UTC.
- The original revision id was 239367377.
- 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: #006880; font-size: 103%;">131 tone equal temperament</span>= **131-EDO**, or **131-tET**, divides the octave into 131 steps of approx. 9.160305 cents each. 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 nmeantone 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]]. __**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] || || 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:<h1> --><h1 id="toc0"><a name="x131 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #006880; font-size: 103%;">131 tone equal temperament</span></h1>
<br />
<strong>131-EDO</strong>, or <strong>131-tET</strong>, divides the octave into 131 steps of approx. 9.160305 cents each. 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 nmeantone 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 />
<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>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:<h2> --><h2 id="toc1"><a name="x131 tone equal temperament-!!!'!!!!'"></a><!-- ws:end:WikiTextHeadingRule:2 -->!!!'!!!!'</h2>
</body></html>