Semaphoresmic family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 206143526 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 277906738 - 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>2011-11-21 19:11:17 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>277906738</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">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. | <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]] | ||
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 | Comma: 49/48 | ||
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Badness: 0.000116 | Badness: 0.000116 | ||
=Selenium= | |||
Commas: 49/48, 56/55 | Commas: 49/48, 56/55 | ||
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Badness: 0.000665 | Badness: 0.000665 | ||
==13-limit== | |||
Commas: 49/48, 56/55, 91/90 | 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|] | 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 | EDOs: 5, 9, 10, 15, 19, 24, 34 | ||
Badness: 0.000787</pre></div> | Badness: 0.000787 | ||
=Negric= | |||
Commas: 49/48, 225/224 | |||
Map: [<1 2 2 3 0|, <0 -4 3 -2 0|, <0 0 0 0 1|] | |||
EDOs: 9, 10, 19, 29, 38d, 67cde | |||
Badness: 0.001087 | |||
==13-limit== | |||
Commas: 49/48, 65/64, 91/90 | |||
Map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|, <0 0 0 0 1 0|] | |||
EDOs: 9, 10, 19, 29, 38df, 67cdef | |||
Badness: 80.756</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>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 /> | <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>Semiphore 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="#Selenium">Selenium</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#Negric">Negric</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | ||
<!-- ws:end:WikiTextTocRule:13 --><br /> | |||
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 /> | <br /> | ||
Comma: 49/48<br /> | Comma: 49/48<br /> | ||
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Badness: 0.000116<br /> | Badness: 0.000116<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Selenium"></a><!-- ws:end:WikiTextHeadingRule:0 -->Selenium</h1> | ||
Commas: 49/48, 56/55<br /> | Commas: 49/48, 56/55<br /> | ||
<br /> | <br /> | ||
| Line 51: | Line 69: | ||
Badness: 0.000665<br /> | Badness: 0.000665<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Selenium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2> | ||
Commas: 49/48, 56/55, 91/90<br /> | Commas: 49/48, 56/55, 91/90<br /> | ||
<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 /> | 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 /> | EDOs: 5, 9, 10, 15, 19, 24, 34<br /> | ||
Badness: 0.000787</body></html></pre></div> | Badness: 0.000787<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Negric"></a><!-- ws:end:WikiTextHeadingRule:4 -->Negric</h1> | |||
Commas: 49/48, 225/224<br /> | |||
<br /> | |||
Map: [&lt;1 2 2 3 0|, &lt;0 -4 3 -2 0|, &lt;0 0 0 0 1|]<br /> | |||
EDOs: 9, 10, 19, 29, 38d, 67cde<br /> | |||
Badness: 0.001087<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Negric-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | |||
Commas: 49/48, 65/64, 91/90<br /> | |||
<br /> | |||
Map: [&lt;1 2 2 3 0 4|, &lt;0 -4 3 -2 0 -3|, &lt;0 0 0 0 1 0|]<br /> | |||
EDOs: 9, 10, 19, 29, 38df, 67cdef<br /> | |||
Badness: 80.756</body></html></pre></div> | |||
Revision as of 19:11, 21 November 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 2011-11-21 19:11:17 UTC.
- The original revision id was 277906738.
- 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|flat]] 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 =Negric= Commas: 49/48, 225/224 Map: [<1 2 2 3 0|, <0 -4 3 -2 0|, <0 0 0 0 1|] EDOs: 9, 10, 19, 29, 38d, 67cde Badness: 0.001087 ==13-limit== Commas: 49/48, 65/64, 91/90 Map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|, <0 0 0 0 1 0|] EDOs: 9, 10, 19, 29, 38df, 67cdef Badness: 80.756
Original HTML content:
<html><head><title>Semiphore family</title></head><body><!-- ws:start:WikiTextTocRule:8:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Selenium">Selenium</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#Negric">Negric</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> <!-- ws:end:WikiTextTocRule:13 --><br /> 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 <a class="wiki_link" href="/meantone%20family">"godzilla"</a> identifies a rank two temperament formerly sometimes called "semaphore", 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: [<1 0 2 2|, <0 2 0 1|, <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:<h1> --><h1 id="toc0"><a name="Selenium"></a><!-- ws:end:WikiTextHeadingRule:0 -->Selenium</h1> Commas: 49/48, 56/55<br /> <br /> Map: [<1 0 2 2 5|, <0 2 0 1 1|, <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:<h2> --><h2 id="toc1"><a name="Selenium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2> Commas: 49/48, 56/55, 91/90<br /> <br /> Map: [<1 0 2 2 5 -1|, <0 2 0 1 1 3|, <0 0 1 0 -1 1|]<br /> EDOs: 5, 9, 10, 15, 19, 24, 34<br /> Badness: 0.000787<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Negric"></a><!-- ws:end:WikiTextHeadingRule:4 -->Negric</h1> Commas: 49/48, 225/224<br /> <br /> Map: [<1 2 2 3 0|, <0 -4 3 -2 0|, <0 0 0 0 1|]<br /> EDOs: 9, 10, 19, 29, 38d, 67cde<br /> Badness: 0.001087<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Negric-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> Commas: 49/48, 65/64, 91/90<br /> <br /> Map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|, <0 0 0 0 1 0|]<br /> EDOs: 9, 10, 19, 29, 38df, 67cdef<br /> Badness: 80.756</body></html>