13/12: Difference between revisions
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Wikispaces>Andrew_Heathwaite **Imported revision 254920096 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 513213932 - 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:spt3125|spt3125]] and made on <tt>2014-06-07 22:41:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>513213932</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"> | <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">**13/12** | ||
|-2 -1 0 0 0 1> | |||
138.57266 cents | |||
[[media type="file" key="jid_13_12_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_13_12_pluck_adu_dr220.mp3|sound sample]] | |||
The neutral second in [[17edo]] is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\ | In [[13-limit]] [[Just Intonation]], 13/12 is a neutral second of about 138.6¢. It is a [[superparticular]] interval, as it is found in the harmonic series between the 13th and the 12th overtone (between [[13_8|13/8]] and [[3_2|3/2]] in the octave). It is flat of the [[11-limit]] lesser neutral second of [[12_11|12/11]] by [[144_143|144/143]] (about 12.1¢), and sharp of the 13-limit large semitone of [[14_13|14/13]] by [[169_168|169/168]] (about 10.3¢). | ||
The neutral second in [[17edo]] is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 13/12. | |||
See: [[Gallery of Just Intervals]]</pre></div> | See: [[Gallery of Just Intervals]]</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>13_12</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/12 is a neutral second of about 138.6¢. It is | <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>13_12</title></head><body><strong>13/12</strong><br /> | ||
|-2 -1 0 0 0 1&gt;<br /> | |||
138.57266 cents<br /> | |||
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_13_12_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_13_12_pluck_adu_dr220.mp3&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_13_12_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_13_12_pluck_adu_dr220.mp3/513213912/jid_13_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_13_12_pluck_adu_dr220.mp3/513213912/jid_13_12_pluck_adu_dr220.mp3');">sound sample</a><br /> | |||
<br /> | |||
In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/12 is a neutral second of about 138.6¢. It is a <a class="wiki_link" href="/superparticular">superparticular</a> interval, as it is found in the harmonic series between the 13th and the 12th overtone (between <a class="wiki_link" href="/13_8">13/8</a> and <a class="wiki_link" href="/3_2">3/2</a> in the octave). It is flat of the <a class="wiki_link" href="/11-limit">11-limit</a> lesser neutral second of <a class="wiki_link" href="/12_11">12/11</a> by <a class="wiki_link" href="/144_143">144/143</a> (about 12.1¢), and sharp of the 13-limit large semitone of <a class="wiki_link" href="/14_13">14/13</a> by <a class="wiki_link" href="/169_168">169/168</a> (about 10.3¢).<br /> | |||
<br /> | <br /> | ||
The neutral second in <a class="wiki_link" href="/17edo">17edo</a> is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\ | The neutral second in <a class="wiki_link" href="/17edo">17edo</a> is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 13/12.<br /> | ||
<br /> | <br /> | ||
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | ||
Revision as of 22:41, 7 June 2014
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author spt3125 and made on 2014-06-07 22:41:24 UTC.
- The original revision id was 513213932.
- 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:
**13/12** |-2 -1 0 0 0 1> 138.57266 cents [[media type="file" key="jid_13_12_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_13_12_pluck_adu_dr220.mp3|sound sample]] In [[13-limit]] [[Just Intonation]], 13/12 is a neutral second of about 138.6¢. It is a [[superparticular]] interval, as it is found in the harmonic series between the 13th and the 12th overtone (between [[13_8|13/8]] and [[3_2|3/2]] in the octave). It is flat of the [[11-limit]] lesser neutral second of [[12_11|12/11]] by [[144_143|144/143]] (about 12.1¢), and sharp of the 13-limit large semitone of [[14_13|14/13]] by [[169_168|169/168]] (about 10.3¢). The neutral second in [[17edo]] is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 13/12. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>13_12</title></head><body><strong>13/12</strong><br />
|-2 -1 0 0 0 1><br />
138.57266 cents<br />
<!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_13_12_pluck_adu_dr220.mp3?h=20&w=240" class="WikiMedia WikiMediaFile" id="wikitext@@media@@type=&quot;file&quot; key=&quot;jid_13_12_pluck_adu_dr220.mp3&quot;" title="Local Media File"height="20" width="240"/> --><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_13_12_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_13_12_pluck_adu_dr220.mp3/513213912/jid_13_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_13_12_pluck_adu_dr220.mp3/513213912/jid_13_12_pluck_adu_dr220.mp3');">sound sample</a><br />
<br />
In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/12 is a neutral second of about 138.6¢. It is a <a class="wiki_link" href="/superparticular">superparticular</a> interval, as it is found in the harmonic series between the 13th and the 12th overtone (between <a class="wiki_link" href="/13_8">13/8</a> and <a class="wiki_link" href="/3_2">3/2</a> in the octave). It is flat of the <a class="wiki_link" href="/11-limit">11-limit</a> lesser neutral second of <a class="wiki_link" href="/12_11">12/11</a> by <a class="wiki_link" href="/144_143">144/143</a> (about 12.1¢), and sharp of the 13-limit large semitone of <a class="wiki_link" href="/14_13">14/13</a> by <a class="wiki_link" href="/169_168">169/168</a> (about 10.3¢).<br />
<br />
The neutral second in <a class="wiki_link" href="/17edo">17edo</a> is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 13/12.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>