Cataharry temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
[[#Swetneus|Swetneus]]
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>2015-02-15 16:02:29 UTC</tt>.<br>
: The original revision id was <tt>541032744</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>
<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]]


Cataharry temperaments temper out the cataharry comma, |-4 9 -2 -2&gt; = 19683/19600.
Cataharry temperaments temper out the cataharry comma, |-4 9 -2 -2&gt; = 19683/19600.
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Map: [|1 4 8 8&gt;, |0 -20 -47 -43&gt;]
Map: [|1 4 8 8&gt;, |0 -20 -47 -43&gt;]
Wedgie: &lt;&lt;20 47 43 28 12 -32||
Wedgie: &lt;&lt;20 47 43 28 12 -32||
EDOs: 58, 91, 149, 505d, 654bd, 803bd
EDOs: 58, 91, 149, 505d, 654bd, 803bd
Badness: 0.1332
Badness: 0.1332


Line 28: Line 24:


Map: [|1 4 8 8 13&gt;, |0 -20 -47 -43 -79&gt;]
Map: [|1 4 8 8 13&gt;, |0 -20 -47 -43 -79&gt;]
EDOs: 58, 149, 207, 356e, 563cde, 919bcde
EDOs: 58, 149, 207, 356e, 563cde, 919bcde
Badness: 0.0552
Badness: 0.0552


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Map: [|1 4 8 8 13 13&gt;, |0 -20 -47 -43 -79 -77&gt;]
Map: [|1 4 8 8 13 13&gt;, |0 -20 -47 -43 -79 -77&gt;]
EDOs: 58, 149, 207, 356e, 563cde, 919bcdef
EDOs: 58, 149, 207, 356e, 563cde, 919bcdef
Badness: 0.0289
Badness: 0.0289
</pre></div>
<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;Cataharry temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&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:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Swetneus"&gt;Swetneus&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
Cataharry temperaments temper out the cataharry comma, |-4 9 -2 -2&amp;gt; = 19683/19600.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Swetneus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Swetneus&lt;/h1&gt;
The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator.&lt;br /&gt;
&lt;br /&gt;
Commas: 19683/19600, 50421/50000&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~49/45 = 144.956&lt;br /&gt;
&lt;br /&gt;
Map: [|1 4 8 8&amp;gt;, |0 -20 -47 -43&amp;gt;]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;20 47 43 28 12 -32||&lt;br /&gt;
EDOs: 58, 91, 149, 505d, 654bd, 803bd&lt;br /&gt;
Badness: 0.1332&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Swetneus-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
Commas: 441/440, 3388/3375, 19683/19600&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~49/45 = 144.941&lt;br /&gt;
&lt;br /&gt;
Map: [|1 4 8 8 13&amp;gt;, |0 -20 -47 -43 -79&amp;gt;]&lt;br /&gt;
EDOs: 58, 149, 207, 356e, 563cde, 919bcde&lt;br /&gt;
Badness: 0.0552&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Swetneus-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
Commas: 351/350, 441/440, 676/675, 847/845&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~49/45 = 144.939&lt;br /&gt;
&lt;br /&gt;
Map: [|1 4 8 8 13 13&amp;gt;, |0 -20 -47 -43 -79 -77&amp;gt;]&lt;br /&gt;
EDOs: 58, 149, 207, 356e, 563cde, 919bcdef&lt;br /&gt;
Badness: 0.0289&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Swetneus

Cataharry temperaments temper out the cataharry comma, |-4 9 -2 -2> = 19683/19600.

Swetneus

The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator.

Commas: 19683/19600, 50421/50000

POTE generator: ~49/45 = 144.956

Map: [|1 4 8 8>, |0 -20 -47 -43>]

Wedgie: <<20 47 43 28 12 -32||

EDOs: 58, 91, 149, 505d, 654bd, 803bd

Badness: 0.1332

11-limit

Commas: 441/440, 3388/3375, 19683/19600

POTE generator: ~49/45 = 144.941

Map: [|1 4 8 8 13>, |0 -20 -47 -43 -79>]

EDOs: 58, 149, 207, 356e, 563cde, 919bcde

Badness: 0.0552

13-limit

Commas: 351/350, 441/440, 676/675, 847/845

POTE generator: ~49/45 = 144.939

Map: [|1 4 8 8 13 13>, |0 -20 -47 -43 -79 -77>]

EDOs: 58, 149, 207, 356e, 563cde, 919bcdef

Badness: 0.0289