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51/40: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = diatismic major third
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-22 16:48:10 UTC</tt>.<br>
| Color name = 17og4, sogu 4th
: The original revision id was <tt>575538399</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">**51/40**
|-8 1 -1 0 0 0 1&gt;
420.597 [[cent|cents]]


[[media type="file" key="ji-51-40-csound-foscil-220hz.mp3"]]
In [[17-limit]] [[just intonation]], '''51/40''' is the '''diatismic major third'''. It exceeds the [[81/64|Pythagorean major third (81/64)]] by a [[136/135|diatisma (136/135)]], hence the name.
[[file:ji-51-40-csound-foscil-220hz.mp3]]


Approximated by
It is approximated by:
* [[20edo|7\20]] (420 cents)
* [[20edo|7\20]] (420 cents)
* [[3edo|1\3]] ([[12edo|4\12]]) (400 cents)
* [[3edo|1\3]] ([[12edo|4\12]]) (400 cents)
* [[17edo|6\17]] ([[34edo|12\34]]) (423.529 cents)
* [[17edo|6\17]] ([[34edo|12\34]]) (423.529 cents)
* [[Gallery of Just Intervals]]
* [[37edo|13\37]] (421.622 cents)
</pre></div>
 
<h4>Original HTML content:</h4>
== See also ==
<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;51_40&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;51/40&lt;/strong&gt;&lt;br /&gt;
* [[80/51]] – its [[octave complement]]
|-8 1 -1 0 0 0 1&amp;gt;&lt;br /&gt;
* [[20/17]] – its [[fifth complement]]
420.597 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt;&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/ji-51-40-csound-foscil-220hz.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;ji-51-40-csound-foscil-220hz.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fji-51-40-csound-foscil-220hz.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
[[Category:Third]]
&lt;!-- ws:start:WikiTextFileRule:11:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/ji-51-40-csound-foscil-220hz.mp3?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@ji-51-40-csound-foscil-220hz.mp3&amp;quot; title=&amp;quot;File: ji-51-40-csound-foscil-220hz.mp3&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/ji-51-40-csound-foscil-220hz.mp3/575532731/ji-51-40-csound-foscil-220hz.mp3" onclick="ws.common.trackFileLink('/file/view/ji-51-40-csound-foscil-220hz.mp3/575532731/ji-51-40-csound-foscil-220hz.mp3');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="ji-51-40-csound-foscil-220hz.mp3" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/ji-51-40-csound-foscil-220hz.mp3/575532731/ji-51-40-csound-foscil-220hz.mp3" onclick="ws.common.trackFileLink('/file/view/ji-51-40-csound-foscil-220hz.mp3/575532731/ji-51-40-csound-foscil-220hz.mp3');" class="filename" title="ji-51-40-csound-foscil-220hz.mp3"&gt;ji-51-40-csound-foscil-220hz.mp3&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/ji-51-40-csound-foscil-220hz.mp3"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/ji-51-40-csound-foscil-220hz.mp3/575532731/ji-51-40-csound-foscil-220hz.mp3"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;127 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:11 --&gt;&lt;br /&gt;
[[Category:Major third]]
&lt;br /&gt;
[[Category:Supermajor third]]
Approximated by&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/20edo"&gt;7\20&lt;/a&gt; (420 cents)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/3edo"&gt;1\3&lt;/a&gt; (&lt;a class="wiki_link" href="/12edo"&gt;4\12&lt;/a&gt;) (400 cents)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/17edo"&gt;6\17&lt;/a&gt; (&lt;a class="wiki_link" href="/34edo"&gt;12\34&lt;/a&gt;) (423.529 cents)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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