Kleismic rank three family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 190776398 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 267786952 - 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>2011-10-24 00:35:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>267786952</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> | ||
<h4>Original Wikitext content:</h4> | <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">These are the rank three temperaments tempering out the kleisma, 15625/15552. 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">[[toc|flat]] | ||
These are the rank three temperaments tempering out the kleisma, 15625/15552. 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. | |||
7 and 9 limit minimax | 7 and 9 limit minimax | ||
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[[edo|Edos]]: [[15edo|15]], [[19edo|19]], [[23edo|23]], [[34edo|34]], [[53edo|53]], [[68edo|68]], [[72edo|72]], [[87edo|87]], [[121edo|121]], [[125edo|125]], [[140edo|140]], [[212edo|212]], 333, 405 | [[edo|Edos]]: [[15edo|15]], [[19edo|19]], [[23edo|23]], [[34edo|34]], [[53edo|53]], [[68edo|68]], [[72edo|72]], [[87edo|87]], [[121edo|121]], [[125edo|125]], [[140edo|140]], [[212edo|212]], 333, 405 | ||
=Enlil= | |||
[[Comma|Commas]]: | [[Comma|Commas]]: 385/384, 6250/6237 | ||
[[Minimax tuning]] | [[Minimax tuning]] | ||
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Badness: 0.000798 | Badness: 0.000798 | ||
==13-limit== | |||
[[Comma|Commas]]: 325/324, 385/384, 625/624 | [[Comma|Commas]]: 325/324, 385/384, 625/624 | ||
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Scales: [[enlil19_13]] | Scales: [[enlil19_13]] | ||
=Enki= | |||
[[Comma|Commas]]: 3025/3024, 4375/4356 | [[Comma|Commas]]: 3025/3024, 4375/4356 | ||
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Badness: 0.00109 | Badness: 0.00109 | ||
==13-limit== | |||
[[Comma|Commas]]: 325/324, 364/363, 625/624 | [[Comma|Commas]]: 325/324, 364/363, 625/624 | ||
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Badness: 0.000874</pre></div> | Badness: 0.000874</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>Kleismic rank three family</title></head><body>These are the rank three temperaments tempering out the kleisma, 15625/15552. 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>Kleismic rank three family</title></head><body><!-- ws:start:WikiTextTocRule:8:&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:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Enlil">Enlil</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#Enki">Enki</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | ||
<!-- ws:end:WikiTextTocRule:13 --><br /> | |||
<br /> | |||
These are the rank three temperaments tempering out the kleisma, 15625/15552. 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 /> | ||
7 and 9 limit minimax<br /> | 7 and 9 limit minimax<br /> | ||
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<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/23edo">23</a>, <a class="wiki_link" href="/34edo">34</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/68edo">68</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/121edo">121</a>, <a class="wiki_link" href="/125edo">125</a>, <a class="wiki_link" href="/140edo">140</a>, <a class="wiki_link" href="/212edo">212</a>, 333, 405<br /> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/23edo">23</a>, <a class="wiki_link" href="/34edo">34</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/68edo">68</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/121edo">121</a>, <a class="wiki_link" href="/125edo">125</a>, <a class="wiki_link" href="/140edo">140</a>, <a class="wiki_link" href="/212edo">212</a>, 333, 405<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Enlil"></a><!-- ws:end:WikiTextHeadingRule:0 -->Enlil</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: | <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 6250/6237<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> | ||
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Badness: 0.000798<br /> | Badness: 0.000798<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Enlil-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 325/324, 385/384, 625/624<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 325/324, 385/384, 625/624<br /> | ||
<br /> | <br /> | ||
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Scales: <a class="wiki_link" href="/enlil19_13">enlil19_13</a><br /> | Scales: <a class="wiki_link" href="/enlil19_13">enlil19_13</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Enki"></a><!-- ws:end:WikiTextHeadingRule:4 -->Enki</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 3025/3024, 4375/4356<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 3025/3024, 4375/4356<br /> | ||
<br /> | <br /> | ||
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Badness: 0.00109<br /> | Badness: 0.00109<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Enki-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 325/324, 364/363, 625/624<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 325/324, 364/363, 625/624<br /> | ||
<br /> | <br /> | ||