Kleismic rank-3 family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 267788536 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 303529768 - 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>2012-02-20 22:44:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>303529768</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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[[Generator|Generators]]: 2, 6/5, 66/25 | [[Generator|Generators]]: 2, 6/5, 66/25 | ||
[[edo|Edos]]: [[15edo|15]], [[72edo|72]], [[87edo|87]], [[159edo|159]], [[193edo|193]], 280, 439 | [[edo|Edos]]: [[15edo|15]], [[72edo|72]], [[87edo|87]], [[159edo|159]], [[193edo|193]], 280, 439 | ||
Badness: 0.000874</pre></div> | Badness: 0.000874 | ||
=Isimud= | |||
Commas: 4125/4096, 8019/8000 | |||
Map: [<1 0 1 0 9|, <0 6 5 0 -21|, <0 0 0 1 0|] | |||
EDOs: 19, 53, 72, 197e, 269ce, 341ce, 375cde, 447cde, 519bcde | |||
Badness: 0.003690 | |||
==13-limit== | |||
Commas: 325/324, 625/624, 1287/1280 | |||
Map: [<1 0 1 0 9 0|, <0 6 5 0 -21 14|, <0 0 0 1 0 0|] | |||
EDOs: 19, 53, 72, 178def, 197ef, 231ef, 250def, 303cdef | |||
Badness: 0.002273 | |||
</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><!-- 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>Kleismic rank three family</title></head><body><!-- ws:start:WikiTextTocRule:12:&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:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Enlil">Enlil</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Enki">Enki</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Isimud">Isimud</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:19 --><br /> | ||
<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 /> | 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 /> | ||
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<a class="wiki_link" href="/Generator">Generators</a>: 2, 6/5, 66/25<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 6/5, 66/25<br /> | ||
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/159edo">159</a>, <a class="wiki_link" href="/193edo">193</a>, 280, 439<br /> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/159edo">159</a>, <a class="wiki_link" href="/193edo">193</a>, 280, 439<br /> | ||
Badness: 0.000874</body></html></pre></div> | Badness: 0.000874<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Isimud"></a><!-- ws:end:WikiTextHeadingRule:8 -->Isimud</h1> | |||
Commas: 4125/4096, 8019/8000<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 0 9|, &lt;0 6 5 0 -21|, &lt;0 0 0 1 0|]<br /> | |||
EDOs: 19, 53, 72, 197e, 269ce, 341ce, 375cde, 447cde, 519bcde<br /> | |||
Badness: 0.003690<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Isimud-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> | |||
Commas: 325/324, 625/624, 1287/1280<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 0 9 0|, &lt;0 6 5 0 -21 14|, &lt;0 0 0 1 0 0|]<br /> | |||
EDOs: 19, 53, 72, 178def, 197ef, 231ef, 250def, 303cdef<br /> | |||
Badness: 0.002273</body></html></pre></div> | |||