Swetismic temperaments: Difference between revisions

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**Imported revision 268203270 - 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>2011-10-24 23:22:36 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-24 23:24:23 UTC</tt>.<br>
: The original revision id was <tt>268202896</tt>.<br>
: The original revision id was <tt>268203270</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">[[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]]


These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.
These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.
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Badness: 0.000724</pre></div>
Badness: 0.000724</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Swetismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:10:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;a href="#Hades"&gt;Hades&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#Minos"&gt;Minos&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Swetismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:10:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Hades"&gt;Hades&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Hades-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Hades-Cerberus"&gt;Cerberus&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Minos"&gt;Minos&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Minos-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;br /&gt;
These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.&lt;br /&gt;
These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.&lt;br /&gt;

Revision as of 23:24, 24 October 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2011-10-24 23:24:23 UTC.
The original revision id was 268203270.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc]]

These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.

Comma: 540/539

Map: [<1 0 0 0 2|, <0 1 0 0 3|, <0 0 0 1 -2|]
Generators: 2, 3, 5, 7
EDOs: 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578

=Hades=
Commas: 540/539, 4000/3993

Map: [<2 1 0 2 3|, <0 3 0 5 -1|, <0 0 1 0 1|]
Generators: 99/70, 9/7, 5
EDOs: 22, 50, 58, 72, 130, 152, 224, 354, 578
Badness: 0.000361

==13-limit==
Commas: 540/539, 729/728, 1575/1573

Map: [<2 1 0 2 3 -2 |, <0 3 0 5 -1 13|, <0 0 1 0 1 0|]
Generators: 99/70, 9/7, 5
EDOs: 36, 58, 72, 130, 224, 354, 578
Badness: 0.000535

==Cerberus==
Commas: 351/350, 364/363, 540/539

Map: [<2 1 0 2 3 1|, <0 3 0 5 -1 -4|, <0 0 1 0 1 2|]
Generators: 55/39.9/7.5
EDOs: 22, 50, 58, 72, 130
Badness: 0.000766

=Minos=
Commas: 540/539, 12005/11979

Map: [<1 0 2 1 2|, <0 2 4 3 4|, <0 0 -5 -1 -3|]
Generators: 2.121/70.49/33
EDOs: 9, 49, 58, 72, 130, 193, 202, 467
Badness: 0.000886

==13-limit==
Commas: 364/363, 540/539, 676/675

Map: [<1 0 2 1 2 1|, <0 2 4 3 4 7|, <0 0 -5 -1 -3 -5|]
Generators: 2.26/15.49/33
EDOs: 9, 54, 58, 72, 121, 130, 193
Badness: 0.000724

Original HTML content:

<html><head><title>Swetismic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:10:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><div style="margin-left: 1em;"><a href="#Hades">Hades</a></div>
<!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><div style="margin-left: 2em;"><a href="#Hades-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><div style="margin-left: 2em;"><a href="#Hades-Cerberus">Cerberus</a></div>
<!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><div style="margin-left: 1em;"><a href="#Minos">Minos</a></div>
<!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><div style="margin-left: 2em;"><a href="#Minos-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --></div>
<!-- ws:end:WikiTextTocRule:16 --><br />
These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.<br />
<br />
Comma: 540/539<br />
<br />
Map: [&lt;1 0 0 0 2|, &lt;0 1 0 0 3|, &lt;0 0 0 1 -2|]<br />
Generators: 2, 3, 5, 7<br />
EDOs: 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Hades"></a><!-- ws:end:WikiTextHeadingRule:0 -->Hades</h1>
Commas: 540/539, 4000/3993<br />
<br />
Map: [&lt;2 1 0 2 3|, &lt;0 3 0 5 -1|, &lt;0 0 1 0 1|]<br />
Generators: 99/70, 9/7, 5<br />
EDOs: 22, 50, 58, 72, 130, 152, 224, 354, 578<br />
Badness: 0.000361<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Hades-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2>
Commas: 540/539, 729/728, 1575/1573<br />
<br />
Map: [&lt;2 1 0 2 3 -2 |, &lt;0 3 0 5 -1 13|, &lt;0 0 1 0 1 0|]<br />
Generators: 99/70, 9/7, 5<br />
EDOs: 36, 58, 72, 130, 224, 354, 578<br />
Badness: 0.000535<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Hades-Cerberus"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cerberus</h2>
Commas: 351/350, 364/363, 540/539<br />
<br />
Map: [&lt;2 1 0 2 3 1|, &lt;0 3 0 5 -1 -4|, &lt;0 0 1 0 1 2|]<br />
Generators: 55/39.9/7.5<br />
EDOs: 22, 50, 58, 72, 130<br />
Badness: 0.000766<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Minos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Minos</h1>
Commas: 540/539, 12005/11979<br />
<br />
Map: [&lt;1 0 2 1 2|, &lt;0 2 4 3 4|, &lt;0 0 -5 -1 -3|]<br />
Generators: 2.121/70.49/33<br />
EDOs: 9, 49, 58, 72, 130, 193, 202, 467<br />
Badness: 0.000886<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Minos-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2>
Commas: 364/363, 540/539, 676/675<br />
<br />
Map: [&lt;1 0 2 1 2 1|, &lt;0 2 4 3 4 7|, &lt;0 0 -5 -1 -3 -5|]<br />
Generators: 2.26/15.49/33<br />
EDOs: 9, 54, 58, 72, 121, 130, 193<br />
Badness: 0.000724</body></html>