Semaphoresmic family: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 203159576 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 206143526 - Original comment: **
Line 1: Line 1:
<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>2011-02-18 13:32:35 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-01 13:16:28 UTC</tt>.<br>
: The original revision id was <tt>203159576</tt>.<br>
: The original revision id was <tt>206143526</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>
Line 16: Line 16:
Generators: 2, 7/4, 5
Generators: 2, 7/4, 5
EDOs: 4, 5, 9, 10, 15, 19
EDOs: 4, 5, 9, 10, 15, 19
Badness: 0.000116</pre></div>
Badness: 0.000116
 
==Selenium==
Commas: 49/48, 56/55
 
Map: [&lt;1 0 2 2 5|, &lt;0 2 0 1 1|, &lt;0 0 1 0 -1|]
EDOs: 4, 5, 9, 10, 15, 19, 24, 34
Badness: 0.000665
 
===13-limit===
Commas: 49/48, 56/55, 91/90
 
Map: [&lt;1 0 2 2 5 -1|, &lt;0 2 0 1 1 3|, &lt;0 0 1 0 -1 1|]
EDOs: 5, 9, 10, 15, 19, 24, 34
Badness: 0.000787</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;Semiphore family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &amp;quot;semi-fourth&amp;quot;. The name &lt;a class="wiki_link" href="/meantone%20family"&gt;&amp;quot;godzilla&amp;quot;&lt;/a&gt; identifies a rank two temperament formerly sometimes called &amp;quot;semaphore&amp;quot;, for the same reason.&lt;br /&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;Semiphore family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &amp;quot;semi-fourth&amp;quot;. The name &lt;a class="wiki_link" href="/meantone%20family"&gt;&amp;quot;godzilla&amp;quot;&lt;/a&gt; identifies a rank two temperament formerly sometimes called &amp;quot;semaphore&amp;quot;, for the same reason.&lt;br /&gt;
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Generators: 2, 7/4, 5&lt;br /&gt;
Generators: 2, 7/4, 5&lt;br /&gt;
EDOs: 4, 5, 9, 10, 15, 19&lt;br /&gt;
EDOs: 4, 5, 9, 10, 15, 19&lt;br /&gt;
Badness: 0.000116&lt;/body&gt;&lt;/html&gt;</pre></div>
Badness: 0.000116&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Selenium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Selenium&lt;/h2&gt;
Commas: 49/48, 56/55&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 2 5|, &amp;lt;0 2 0 1 1|, &amp;lt;0 0 1 0 -1|]&lt;br /&gt;
EDOs: 4, 5, 9, 10, 15, 19, 24, 34&lt;br /&gt;
Badness: 0.000665&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Selenium-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;13-limit&lt;/h3&gt;
Commas: 49/48, 56/55, 91/90&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 2 5 -1|, &amp;lt;0 2 0 1 1 3|, &amp;lt;0 0 1 0 -1 1|]&lt;br /&gt;
EDOs: 5, 9, 10, 15, 19, 24, 34&lt;br /&gt;
Badness: 0.000787&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 13:16, 1 March 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 2011-03-01 13:16:28 UTC.
The original revision id was 206143526.
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:

Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". The name [[meantone family|"godzilla"]] identifies a rank two temperament formerly sometimes called "semaphore", for the same reason.

Comma: 49/48

Lattice basis: 7/6 0.7627 5/4 2.322
Angle(7/6, 5/4) = 90 degrees

Map: [<1 0 2 2|, <0 2 0 1|, <0 0 1 0|]
Generators: 2, 7/4, 5
EDOs: 4, 5, 9, 10, 15, 19
Badness: 0.000116

==Selenium==
Commas: 49/48, 56/55

Map: [<1 0 2 2 5|, <0 2 0 1 1|, <0 0 1 0 -1|]
EDOs: 4, 5, 9, 10, 15, 19, 24, 34
Badness: 0.000665

===13-limit===
Commas: 49/48, 56/55, 91/90

Map: [<1 0 2 2 5 -1|, <0 2 0 1 1 3|, <0 0 1 0 -1 1|]
EDOs: 5, 9, 10, 15, 19, 24, 34
Badness: 0.000787

Original HTML content:

<html><head><title>Semiphore family</title></head><body>Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &quot;semi-fourth&quot;. The name <a class="wiki_link" href="/meantone%20family">&quot;godzilla&quot;</a> identifies a rank two temperament formerly sometimes called &quot;semaphore&quot;, for the same reason.<br />
<br />
Comma: 49/48<br />
<br />
Lattice basis: 7/6 0.7627 5/4 2.322<br />
Angle(7/6, 5/4) = 90 degrees<br />
<br />
Map: [&lt;1 0 2 2|, &lt;0 2 0 1|, &lt;0 0 1 0|]<br />
Generators: 2, 7/4, 5<br />
EDOs: 4, 5, 9, 10, 15, 19<br />
Badness: 0.000116<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Selenium"></a><!-- ws:end:WikiTextHeadingRule:0 -->Selenium</h2>
Commas: 49/48, 56/55<br />
<br />
Map: [&lt;1 0 2 2 5|, &lt;0 2 0 1 1|, &lt;0 0 1 0 -1|]<br />
EDOs: 4, 5, 9, 10, 15, 19, 24, 34<br />
Badness: 0.000665<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Selenium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h3>
Commas: 49/48, 56/55, 91/90<br />
<br />
Map: [&lt;1 0 2 2 5 -1|, &lt;0 2 0 1 1 3|, &lt;0 0 1 0 -1 1|]<br />
EDOs: 5, 9, 10, 15, 19, 24, 34<br />
Badness: 0.000787</body></html>