16/13: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>Andrew_Heathwaite
**Imported revision 262758836 - Original comment: **
 
Wikispaces>spt3125
**Imported revision 513215274 - Original comment: **
Line 1: Line 1:
<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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-07 22:11:23 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 23:21:20 UTC</tt>.<br>
: The original revision id was <tt>262758836</tt>.<br>
: The original revision id was <tt>513215274</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">In [[13-limit]] [[Just Intonation]], 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It's the inversion of [[13_8|13/8]], the 13th harmonic. It differs from [[5_4|5/4]] by [[65_64|65/64]], about 26.8¢. It differs from the undecimal neutral third [[11_9|11/9]] by [[144_143|144/143]], about 12¢. A [[List of root-3rd-P5 triads in JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39_32|39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[OverToneSeries|harmonic series]].
<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">**16/13**
|4 0 0 0 0 -1&gt;
359.47234 cents
[[media type="file" key="jid_16_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_16_13_pluck_adu_dr220.mp3|sound sample]]
 
In [[13-limit]] [[Just Intonation]], 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13_8|13/8]], the 13th harmonic. It differs from [[5_4|5/4]] by [[65_64|65/64]], about 26.8¢. It differs from the undecimal neutral third [[11_9|11/9]] by [[144_143|144/143]], about 12¢. A [[List of root-3rd-P5 triads in JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39_32|39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[OverToneSeries|harmonic series]].


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">&lt;html&gt;&lt;head&gt;&lt;title&gt;16_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It's the inversion of &lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt;, the 13th harmonic. It differs from &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; by &lt;a class="wiki_link" href="/65_64"&gt;65/64&lt;/a&gt;, about 26.8¢. It differs from the undecimal neutral third &lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt; by &lt;a class="wiki_link" href="/144_143"&gt;144/143&lt;/a&gt;, about 12¢. A &lt;a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI"&gt;root-3rd-P5 triad&lt;/a&gt; featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, &lt;a class="wiki_link" href="/39_32"&gt;39/32&lt;/a&gt;, which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt;.&lt;br /&gt;
<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;16_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;16/13&lt;/strong&gt;&lt;br /&gt;
|4 0 0 0 0 -1&amp;gt;&lt;br /&gt;
359.47234 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_16_13_pluck_adu_dr220.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;jid_16_13_pluck_adu_dr220.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%252Fjid_16_13_pluck_adu_dr220.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;a href="http://xenharmonic.wikispaces.com/file/view/jid_16_13_pluck_adu_dr220.mp3/513215244/jid_16_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_16_13_pluck_adu_dr220.mp3/513215244/jid_16_13_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
In &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of &lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt;, the 13th harmonic. It differs from &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; by &lt;a class="wiki_link" href="/65_64"&gt;65/64&lt;/a&gt;, about 26.8¢. It differs from the undecimal neutral third &lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt; by &lt;a class="wiki_link" href="/144_143"&gt;144/143&lt;/a&gt;, about 12¢. A &lt;a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI"&gt;root-3rd-P5 triad&lt;/a&gt; featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, &lt;a class="wiki_link" href="/39_32"&gt;39/32&lt;/a&gt;, which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 23:21, 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 23:21:20 UTC.
The original revision id was 513215274.
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:

**16/13**
|4 0 0 0 0 -1>
359.47234 cents
[[media type="file" key="jid_16_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_16_13_pluck_adu_dr220.mp3|sound sample]]

In [[13-limit]] [[Just Intonation]], 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13_8|13/8]], the 13th harmonic. It differs from [[5_4|5/4]] by [[65_64|65/64]], about 26.8¢. It differs from the undecimal neutral third [[11_9|11/9]] by [[144_143|144/143]], about 12¢. A [[List of root-3rd-P5 triads in JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39_32|39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[OverToneSeries|harmonic series]].

See: [[Gallery of Just Intervals]]

Original HTML content:

<html><head><title>16_13</title></head><body><strong>16/13</strong><br />
|4 0 0 0 0 -1&gt;<br />
359.47234 cents<br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_16_13_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_16_13_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_16_13_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_16_13_pluck_adu_dr220.mp3/513215244/jid_16_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_16_13_pluck_adu_dr220.mp3/513215244/jid_16_13_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>, 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of <a class="wiki_link" href="/13_8">13/8</a>, the 13th harmonic. It differs from <a class="wiki_link" href="/5_4">5/4</a> by <a class="wiki_link" href="/65_64">65/64</a>, about 26.8¢. It differs from the undecimal neutral third <a class="wiki_link" href="/11_9">11/9</a> by <a class="wiki_link" href="/144_143">144/143</a>, about 12¢. A <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5 triad</a> featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, <a class="wiki_link" href="/39_32">39/32</a>, which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>