Didymus rank-3 family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 205854232 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 209929942 - 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>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-12 21:39:42 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>209929942</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">These are the rank three temperaments tempering out the didymus comma, 81/80. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. | <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">These are the rank three temperaments tempering out the didymus comma, 81/80. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. | ||
[[toc|flat]] | |||
=Euterpe= | |||
Commas: 81/80, 99/98 | Commas: 81/80, 99/98 | ||
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Badness: 0.000536 | Badness: 0.000536 | ||
=Calliope= | |||
Commas: 81/80, 45/44 | Commas: 81/80, 45/44 | ||
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Badness: 0.000530 | Badness: 0.000530 | ||
=Erato= | |||
Commas: 81/80, 126/125 | Commas: 81/80, 126/125 | ||
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Badness: 0.000558 | Badness: 0.000558 | ||
=Clio= | |||
Commas: 81/80, 176/175 | Commas: 81/80, 176/175 | ||
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Badness: 0.000738 | Badness: 0.000738 | ||
=Polyhymnia= | |||
Commas: 81/80, 385/384 | Commas: 81/80, 385/384 | ||
=Thalia= | |||
Commas: 81/80, 55/54 | Commas: 81/80, 55/54 | ||
=Melpomene= | |||
Commas: 81/80, 56/55 | Commas: 81/80, 56/55 | ||
=Urania= | |||
Commas: 81/80, 121/120 | Commas: 81/80, 121/120 | ||
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[[Spectrum of a temperament|Spectrum]]: 11/9, 4/3, 12/11, 11/10, 10/9, 9/8, 11/8, 6/5, 5/4, 8/7, 7/6, 9/7, 14/11, 7/5 | [[Spectrum of a temperament|Spectrum]]: 11/9, 4/3, 12/11, 11/10, 10/9, 9/8, 11/8, 6/5, 5/4, 8/7, 7/6, 9/7, 14/11, 7/5 | ||
=Terpsichore= | |||
Commas: 81/80, 540/539</pre></div> | Commas: 81/80, 540/539</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>Didymus rank three family</title></head><body>These are the rank three temperaments tempering out the didymus comma, 81/80. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.<br /> | <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>Didymus rank three family</title></head><body>These are the rank three temperaments tempering out the didymus comma, 81/80. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextTocRule:18:&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:18 --><!-- ws:start:WikiTextTocRule:19: --><a href="#Euterpe">Euterpe</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Calliope">Calliope</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Erato">Erato</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Clio">Clio</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Polyhymnia">Polyhymnia</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Thalia">Thalia</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Melpomene">Melpomene</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Urania">Urania</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Terpsichore">Terpsichore</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | ||
<!-- ws:end:WikiTextTocRule:28 --><br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Euterpe"></a><!-- ws:end:WikiTextHeadingRule:0 -->Euterpe</h1> | |||
Commas: 81/80, 99/98<br /> | Commas: 81/80, 99/98<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000536<br /> | Badness: 0.000536<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Calliope"></a><!-- ws:end:WikiTextHeadingRule:2 -->Calliope</h1> | ||
Commas: 81/80, 45/44<br /> | Commas: 81/80, 45/44<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000530<br /> | Badness: 0.000530<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Erato"></a><!-- ws:end:WikiTextHeadingRule:4 -->Erato</h1> | ||
Commas: 81/80, 126/125<br /> | Commas: 81/80, 126/125<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000558<br /> | Badness: 0.000558<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Clio"></a><!-- ws:end:WikiTextHeadingRule:6 -->Clio</h1> | ||
Commas: 81/80, 176/175<br /> | Commas: 81/80, 176/175<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000738<br /> | Badness: 0.000738<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt; | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Polyhymnia"></a><!-- ws:end:WikiTextHeadingRule:8 -->Polyhymnia</h1> | ||
Commas: 81/80, 385/384<br /> | Commas: 81/80, 385/384<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt; | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Thalia"></a><!-- ws:end:WikiTextHeadingRule:10 -->Thalia</h1> | ||
Commas: 81/80, 55/54<br /> | Commas: 81/80, 55/54<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt; | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Melpomene"></a><!-- ws:end:WikiTextHeadingRule:12 -->Melpomene</h1> | ||
Commas: 81/80, 56/55<br /> | Commas: 81/80, 56/55<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt; | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Urania"></a><!-- ws:end:WikiTextHeadingRule:14 -->Urania</h1> | ||
Commas: 81/80, 121/120<br /> | Commas: 81/80, 121/120<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 11/9, 4/3, 12/11, 11/10, 10/9, 9/8, 11/8, 6/5, 5/4, 8/7, 7/6, 9/7, 14/11, 7/5<br /> | <a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 11/9, 4/3, 12/11, 11/10, 10/9, 9/8, 11/8, 6/5, 5/4, 8/7, 7/6, 9/7, 14/11, 7/5<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt; | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Terpsichore"></a><!-- ws:end:WikiTextHeadingRule:16 -->Terpsichore</h1> | ||
Commas: 81/80, 540/539</body></html></pre></div> | Commas: 81/80, 540/539</body></html></pre></div> |