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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''12/11''' |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 16:01:40 UTC</tt>.<br>
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| : The original revision id was <tt>513195536</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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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">**12/11**
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| |2 1 0 0 -1> | | |2 1 0 0 -1> |
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| 150.63706 cents | | 150.63706 cents |
| [[media type="file" key="jid_12_11_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_12_11_pluck_adu_dr220.mp3|sound sample]]
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| The (lesser) neutral second is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent|cents]] large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)^8/2 = |15 8 0 0 -8>. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well. | | [[File:jid_12_11_pluck_adu_dr220.mp3]] [[:File:jid_12_11_pluck_adu_dr220.mp3|sound sample]] |
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| | The (lesser) neutral second is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the [[superparticular|superparticular]] ratio 12/11, and is about 150.6 [[cent|cents]] large. One step of [[8edo|8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)^8/2 = |15 8 0 0 -8>. It follows that EDOs which are multiples of 8, such as [[16edo|16edo]] and [[24edo|24edo]], will also represent this interval well. |
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| 12/11 differs from the larger undecimal neutral second 11/10 (~165 cents) by 121/120 (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include [[15edo]], [[22edo]], [[31edo]], [[orwell]], [[porcupine]], [[mohajira]] and [[valentine]].</pre></div> | | 12/11 differs from the larger undecimal neutral second 11/10 (~165 cents) by 121/120 (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include [[15edo|15edo]], [[22edo|22edo]], [[31edo|31edo]], [[Orwell|orwell]], [[Porcupine|porcupine]], [[Mohajira|mohajira]] and [[Valentine|valentine]]. |
| <h4>Original HTML content:</h4>
| | [[Category:11-limit]] |
| <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>12_11</title></head><body><strong>12/11</strong><br />
| | [[Category:interval]] |
| |2 1 0 0 -1&gt;<br />
| | [[Category:just_interval]] |
| 150.63706 cents<br />
| | [[Category:neutral_2nd]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_12_11_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_12_11_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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%252Fjid_12_11_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_12_11_pluck_adu_dr220.mp3/513195200/jid_12_11_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_12_11_pluck_adu_dr220.mp3/513195200/jid_12_11_pluck_adu_dr220.mp3');">sound sample</a><br />
| | [[Category:ratio]] |
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| | [[Category:second]] |
| The (lesser) neutral second is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the <a class="wiki_link" href="/superparticular">superparticular</a> ratio 12/11, and is about 150.6 <a class="wiki_link" href="/cent">cents</a> large. One step of <a class="wiki_link" href="/8edo">8edo</a> is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma (12/11)^8/2 = |15 8 0 0 -8&gt;. It follows that EDOs which are multiples of 8, such as <a class="wiki_link" href="/16edo">16edo</a> and <a class="wiki_link" href="/24edo">24edo</a>, will also represent this interval well.<br />
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| 12/11 differs from the larger undecimal neutral second 11/10 (~165 cents) by 121/120 (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/orwell">orwell</a>, <a class="wiki_link" href="/porcupine">porcupine</a>, <a class="wiki_link" href="/mohajira">mohajira</a> and <a class="wiki_link" href="/valentine">valentine</a>.</body></html></pre></div>
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