Porwell temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 246764749 - Original comment: ** |
Wikispaces>Natebedell **Imported revision 251315022 - 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: | : This revision was by author [[User:Natebedell|Natebedell]] and made on <tt>2011-09-06 16:48:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>251315022</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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<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">[[toc|flat]] | <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">[[toc|flat]] | ||
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This family of temperaments tempers out the //porwell comma//, 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof. | This family of temperaments tempers out the //porwell comma//, |11 1 -3 -2> = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof. | ||
=Hendecatonic= | =Hendecatonic= | ||
Commas: 6144/6125, 10976/10935 | Commas: 6144/6125, 10976/10935 | ||
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Badness: 0.0411 | Badness: 0.0411 | ||
==Icosidillic== | ==Icosidillic== | ||
Commas: 3388/3375, 6144/6125, 9801/9800 | Commas: 3388/3375, 6144/6125, 9801/9800 | ||
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Badness: 0.0577 | Badness: 0.0577 | ||
=Hemischis= | =Hemischis= | ||
Commas: 6144/6125, 19683/19600 | Commas: 6144/6125, 19683/19600 | ||
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Badness: 0.0458 | Badness: 0.0458 | ||
==11-limit== | ==11-limit== | ||
Commas: 540/539, 8019/8000, 5632/5625 | Commas: 540/539, 8019/8000, 5632/5625 | ||
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Badness: 0.0363 | Badness: 0.0363 | ||
==13-limit== | ==13-limit== | ||
Commas: 351/350, 540/539, 676/675, 4096/4095 | Commas: 351/350, 540/539, 676/675, 4096/4095 | ||
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Badness: 0.0208 | Badness: 0.0208 | ||
==17-limit== | ==17-limit== | ||
Commas: 351/350, 442/441, 561/560, 676/675, 4096/4095 | Commas: 351/350, 442/441, 561/560, 676/675, 4096/4095 | ||
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Badness: 0.0211 | Badness: 0.0211 | ||
=Twothirdtonic= | =Twothirdtonic= | ||
Commas: 686/675, 6144/6125 | Commas: 686/675, 6144/6125 | ||
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Badness: 0.0996 | Badness: 0.0996 | ||
==11-limit== | ==11-limit== | ||
Commas: 121/120, 176/175, 686/675 | Commas: 121/120, 176/175, 686/675 | ||
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Badness: 0.0408 | Badness: 0.0408 | ||
==13-limit== | ==13-limit== | ||
Commas: 91/90, 121/120, 169/168, 176/175 | Commas: 91/90, 121/120, 169/168, 176/175 | ||
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Badness: 0.0259 | Badness: 0.0259 | ||
=Nessafof= | =Nessafof= | ||
Commas: 6144/6125, 250047/250000 | Commas: 6144/6125, 250047/250000 | ||
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<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:20:&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:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Hendecatonic">Hendecatonic</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Hemischis">Hemischis</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Twothirdtonic">Twothirdtonic</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --> | <a href="#Nessafof">Nessafof</a><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> | <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:20:&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:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Hendecatonic">Hendecatonic</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Hemischis">Hemischis</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Twothirdtonic">Twothirdtonic</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --> | <a href="#Nessafof">Nessafof</a><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> | ||
<!-- ws:end:WikiTextTocRule:31 --><hr /> | <!-- ws:end:WikiTextTocRule:31 --><hr /> | ||
This family of temperaments tempers out the <em>porwell comma</em>, 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 /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Hendecatonic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Hendecatonic</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Hendecatonic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Hendecatonic</h1> | ||
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>: 703.054<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Hendecatonic-Icosidillic"></a><!-- ws:end:WikiTextHeadingRule:2 -->Icosidillic</h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Hendecatonic-Icosidillic"></a><!-- ws:end:WikiTextHeadingRule:2 -->Icosidillic</h2> | ||
Commas: 3388/3375, 6144/6125, 9801/9800<br /> | Commas: 3388/3375, 6144/6125, 9801/9800<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 702.914<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 702.914<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Hemischis"></a><!-- ws:end:WikiTextHeadingRule:4 -->Hemischis</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Hemischis"></a><!-- ws:end:WikiTextHeadingRule:4 -->Hemischis</h1> | ||
Commas: 6144/6125, 19683/19600<br /> | Commas: 6144/6125, 19683/19600<br /> | ||
<br /> | <br /> | ||
POTE generator: ~81/70 = 249.203<br /> | POTE generator: ~81/70 = 249.203<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Hemischis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Hemischis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit</h2> | ||
Commas: 540/539, 8019/8000, 5632/5625<br /> | Commas: 540/539, 8019/8000, 5632/5625<br /> | ||
<br /> | <br /> | ||
POTE generator: ~81/70 = 249.199<br /> | POTE generator: ~81/70 = 249.199<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Hemischis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Hemischis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->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 /> | ||
POTE generator: ~15/13 = 249.199<br /> | POTE generator: ~15/13 = 249.199<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Hemischis-17-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->17-limit</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Hemischis-17-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->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 /> | ||
POTE generator: ~15/13 = 249.190<br /> | POTE generator: ~15/13 = 249.190<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Twothirdtonic"></a><!-- ws:end:WikiTextHeadingRule:12 -->Twothirdtonic</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Twothirdtonic"></a><!-- ws:end:WikiTextHeadingRule:12 -->Twothirdtonic</h1> | ||
Commas: 686/675, 6144/6125<br /> | Commas: 686/675, 6144/6125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 130.401<br /> | POTE generator: ~15/14 = 130.401<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Twothirdtonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Twothirdtonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->11-limit</h2> | ||
Commas: 121/120, 176/175, 686/675<br /> | Commas: 121/120, 176/175, 686/675<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 130.430<br /> | POTE generator: ~15/14 = 130.430<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Twothirdtonic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Twothirdtonic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->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 /> | ||
POTE generator: ~15/14 = 130.409<br /> | POTE generator: ~15/14 = 130.409<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Nessafof"></a><!-- ws:end:WikiTextHeadingRule:18 -->Nessafof</h1> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Nessafof"></a><!-- ws:end:WikiTextHeadingRule:18 -->Nessafof</h1> | ||
Commas: 6144/6125, 250047/250000<br /> | Commas: 6144/6125, 250047/250000<br /> | ||
<br /> | <br /> | ||
POTE generator: ~35/32 = 157.420<br /> | POTE generator: ~35/32 = 157.420<br /> | ||