53edo: Difference between revisions
Wikispaces>tonysalinas **Imported revision 8063347 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 146337113 - 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: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-06-01 17:52:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>146337113</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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<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">==Theory== | <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">==Theory== | ||
[[http://en.wikipedia.org/wiki/53_equal_temperament|Wikipeda article about 53edo]] | [[http://en.wikipedia.org/wiki/53_equal_temperament|Wikipeda article about 53edo]] | ||
==Just Approximation== | |||
53edo provides the best approximation of the classic major and minor scales in [[JustIntonation]], compared to its compactness: | |||
||~ interval ||~ size ||~ diff || | |||
|| perfect fifth ||= 31 || −0.07 cents || | |||
|| major third ||= 17 || −1.40 cents || | |||
|| minor third ||= 14 || +1.34 cents || | |||
|| major tone ||= 9 || −0.14 cents || | |||
|| major tone ||= 8 || −1.27 cents || | |||
|| diat. semitone ||= 5 || +1.48 cents || | |||
==Compositions== | ==Compositions== | ||
Novaro [[http://www.geocities.com/Bernalorg/Excerpts/n53.wav|53edo guitar study]] | Novaro [[http://www.geocities.com/Bernalorg/Excerpts/n53.wav|53edo guitar study]] | ||
Rodgers, Prent[[http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html|. Whisper Song]]</pre></div> | Rodgers, Prent[[http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html|. Whisper Song]] | ||
</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>53edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Theory"></a><!-- ws:end:WikiTextHeadingRule:0 -->Theory</h2> | <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>53edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Theory"></a><!-- ws:end:WikiTextHeadingRule:0 -->Theory</h2> | ||
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/53_equal_temperament" rel="nofollow">Wikipeda article about 53edo</a><br /> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/53_equal_temperament" rel="nofollow">Wikipeda article about 53edo</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Compositions"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Just Approximation"></a><!-- ws:end:WikiTextHeadingRule:2 -->Just Approximation</h2> | ||
53edo provides the best approximation of the classic major and minor scales in <a class="wiki_link" href="/JustIntonation">JustIntonation</a>, compared to its compactness:<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>interval<br /> | |||
</th> | |||
<th>size<br /> | |||
</th> | |||
<th>diff<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>perfect fifth<br /> | |||
</td> | |||
<td style="text-align: center;">31<br /> | |||
</td> | |||
<td>−0.07 cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>major third<br /> | |||
</td> | |||
<td style="text-align: center;">17<br /> | |||
</td> | |||
<td>−1.40 cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>minor third<br /> | |||
</td> | |||
<td style="text-align: center;">14<br /> | |||
</td> | |||
<td>+1.34 cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>major tone<br /> | |||
</td> | |||
<td style="text-align: center;">9<br /> | |||
</td> | |||
<td>−0.14 cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>major tone<br /> | |||
</td> | |||
<td style="text-align: center;">8<br /> | |||
</td> | |||
<td>−1.27 cents<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>diat. semitone<br /> | |||
</td> | |||
<td style="text-align: center;">5<br /> | |||
</td> | |||
<td>+1.48 cents<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Compositions"></a><!-- ws:end:WikiTextHeadingRule:4 -->Compositions</h2> | |||
Novaro <a class="wiki_link_ext" href="http://www.geocities.com/Bernalorg/Excerpts/n53.wav" rel="nofollow">53edo guitar study</a><br /> | Novaro <a class="wiki_link_ext" href="http://www.geocities.com/Bernalorg/Excerpts/n53.wav" rel="nofollow">53edo guitar study</a><br /> | ||
Rodgers, Prent<a class="wiki_link_ext" href="http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html" rel="nofollow">. Whisper Song</a></body></html></pre></div> | Rodgers, Prent<a class="wiki_link_ext" href="http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html" rel="nofollow">. Whisper Song</a></body></html></pre></div> | ||