Porwell temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 289357615 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 402284124 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | 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> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-01-29 06:10:37 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>402284124</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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Commas: 6144/6125, 10976/10935 | Commas: 6144/6125, 10976/10935 | ||
[[POTE tuning|POTE generator]]: 703.054 | [[POTE tuning|POTE generator]]: ~3/2 = 703.054 | ||
Map: [<11 0 43 -4], <0 1 -1 2|] | Map: [<11 0 43 -4], <0 1 -1 2|] | ||
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EDOs: 22, 55, 77, [[99edo|99]] | EDOs: 22, 55, 77, [[99edo|99]] | ||
Badness: 0.0411 | Badness: 0.0411 | ||
==11-limit== | |||
Commas: 121/120, 176/175, 10976/10935 | |||
[[POTE tuning|POTE generator]]: ~3/2 = 702.636 | |||
Map: [<11 0 43 -4 38], <0 1 -1 2 0|] | |||
EDOs: 22, 55, 77, 99, 176e, 275e | |||
Badness: 0.0461 | |||
==Icosidillic== | ==Icosidillic== | ||
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Badness: 0.0437</pre></div> | Badness: 0.0437</pre></div> | ||
<h4>Original HTML content:</h4> | <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>Porwell temperaments</title></head><body><!-- ws:start:WikiTextTocRule: | <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>Porwell temperaments</title></head><body><!-- ws:start:WikiTextTocRule:30:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><a href="#Hendecatonic">Hendecatonic</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Hemischis">Hemischis</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#Twothirdtonic">Twothirdtonic</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#Nessafof">Nessafof</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --> | <a href="#Septisuperfourth">Septisuperfourth</a><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --> | <a href="#Whoops">Whoops</a><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:46 --><hr /> | ||
This family of temperaments tempers out the <em>porwell comma</em>, |11 1 -3 -2&gt; = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof.<br /> | This family of temperaments tempers out the <em>porwell comma</em>, |11 1 -3 -2&gt; = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof.<br /> | ||
<br /> | <br /> | ||
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Commas: 6144/6125, 10976/10935<br /> | Commas: 6144/6125, 10976/10935<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.054<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 703.054<br /> | ||
<br /> | <br /> | ||
Map: [&lt;11 0 43 -4], &lt;0 1 -1 2|]<br /> | Map: [&lt;11 0 43 -4], &lt;0 1 -1 2|]<br /> | ||
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Badness: 0.0411<br /> | Badness: 0.0411<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Hendecatonic-Icosidillic"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Hendecatonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> | ||
Commas: 121/120, 176/175, 10976/10935<br /> | |||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 702.636<br /> | |||
<br /> | |||
Map: [&lt;11 0 43 -4 38], &lt;0 1 -1 2 0|]<br /> | |||
EDOs: 22, 55, 77, 99, 176e, 275e<br /> | |||
Badness: 0.0461<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Hendecatonic-Icosidillic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Icosidillic</h2> | |||
Commas: 3388/3375, 6144/6125, 9801/9800<br /> | Commas: 3388/3375, 6144/6125, 9801/9800<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0577<br /> | Badness: 0.0577<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Hemischis"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hemischis</h1> | ||
Commas: 6144/6125, 19683/19600<br /> | Commas: 6144/6125, 19683/19600<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0458<br /> | Badness: 0.0458<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Hemischis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2> | ||
Commas: 540/539, 8019/8000, 5632/5625<br /> | Commas: 540/539, 8019/8000, 5632/5625<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0363<br /> | Badness: 0.0363<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Hemischis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> | ||
Commas: 351/350, 540/539, 676/675, 4096/4095<br /> | Commas: 351/350, 540/539, 676/675, 4096/4095<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0208<br /> | Badness: 0.0208<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Hemischis-17-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->17-limit</h2> | ||
Commas: 351/350, 442/441, 561/560, 676/675, 4096/4095<br /> | Commas: 351/350, 442/441, 561/560, 676/675, 4096/4095<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0211<br /> | Badness: 0.0211<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Twothirdtonic"></a><!-- ws:end:WikiTextHeadingRule:14 -->Twothirdtonic</h1> | ||
Commas: 686/675, 6144/6125<br /> | Commas: 686/675, 6144/6125<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0996<br /> | Badness: 0.0996<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Twothirdtonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> | ||
Commas: 121/120, 176/175, 686/675<br /> | Commas: 121/120, 176/175, 686/675<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0408<br /> | Badness: 0.0408<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Twothirdtonic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2> | ||
Commas: 91/90, 121/120, 169/168, 176/175<br /> | Commas: 91/90, 121/120, 169/168, 176/175<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0259<br /> | Badness: 0.0259<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Nessafof"></a><!-- ws:end:WikiTextHeadingRule:20 -->Nessafof</h1> | ||
Commas: 6144/6125, 250047/250000<br /> | Commas: 6144/6125, 250047/250000<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0450<br /> | Badness: 0.0450<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Septisuperfourth"></a><!-- ws:end:WikiTextHeadingRule:22 -->Septisuperfourth</h1> | ||
Commas: 6144/6125, 118098/117649<br /> | Commas: 6144/6125, 118098/117649<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0592<br /> | Badness: 0.0592<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Septisuperfourth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2> | ||
Commas: 540/539, 4000/3993, 5632/5625<br /> | Commas: 540/539, 4000/3993, 5632/5625<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0246<br /> | Badness: 0.0246<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Whoops"></a><!-- ws:end:WikiTextHeadingRule:26 -->Whoops</h1> | ||
Commas: 6144/6125, 244140625/243045684<br /> | Commas: 6144/6125, 244140625/243045684<br /> | ||
<br /> | <br /> | ||
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Badness: 0.1758<br /> | Badness: 0.1758<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Whoops-11-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->11-limit</h2> | ||
Commas: 6144/6125, 3025/3024, 4000/3993<br /> | Commas: 6144/6125, 3025/3024, 4000/3993<br /> | ||
<br /> | <br /> | ||