|
|
| Line 1: |
Line 1: |
| <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">=<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]].
| | '''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"><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>
| | | | 18 18 18 18 18 18 18 5 |
| <br />
| | | | [[7L_1s|Porcupine Tuning]] (comparable with [[29edo|29edo]] and [[80edo|80edo]]) |
| <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 />
| | | | 17 17 17 6 17 17 17 17 6 |
| 131edo is the 32nd <a class="wiki_link" href="/prime%20numbers">prime</a> EDO.<br />
| | | | [[7L_2s|Superdiatonic tuning]] (comparable with [[23edo|23edo]]) |
| <br />
| | |- |
| <u><strong>Some MOS Scales in 131-EDO:</strong></u><br />
| | | | 13 13 9 13 13 13 9 13 13 13 9 |
| <br />
| | | | Improper [[Sensi-11_Tuning|Sensi-11 Tuning]] |
| | | |- |
| | | | | 11 11 11 11 11 5 11 11 11 11 11 11 5 |
| <table class="wiki_table">
| | | | De Vries 13-tone Tuning |
| <tr>
| | |- |
| <td>33 16 33 33 16<br />
| | | | 10 10 10 7 10 10 10 10 7 10 10 10 10 7 |
| </td>
| | | | [[11L_3s|Ketradektriatoh Tuning]] |
| <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>
| | | | 21 17 21 17 17 21 17 |
| </tr>
| | | | [[mohaha7|mohaha7]] |
| <tr>
| | |- |
| <td>23 23 8 23 23 23 8<br />
| | | | 4 17 17 17 4 17 17 4 17 17 |
| </td>
| | | | [[mohaha10|mohaha10]] |
| <td><a class="wiki_link" href="/5L%202s">Pytagorean tuning</a> (comparable with <a class="wiki_link" href="/17edo">17edo</a>)<br />
| | |} |
| </td>
| | [[Category:131-tone]] |
| </tr>
| | [[Category:131edo]] |
| <tr>
| | [[Category:armodue]] |
| <td>21 21 13 21 21 21 13<br />
| | [[Category:bohpier]] |
| </td>
| | [[Category:equal]] |
| <td><a class="wiki_link" href="/5L%202s">Meantone tuning</a> (comparable with <a class="wiki_link" href="/50edo">50edo</a>)<br />
| | [[Category:golden]] |
| </td>
| | [[Category:golden_meantone]] |
| </tr>
| | [[Category:immunity]] |
| <tr>
| | [[Category:meantone]] |
| <td>19 12 19 19 12 19 19 12<br />
| | [[Category:prime_edo]] |
| </td>
| | [[Category:theory]] |
| <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></pre></div>
| |
131 tone equal 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, 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 bophier temperament.
131edo is the 32nd prime EDO.
Some MOS Scales in 131-EDO: