16/13: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Wikispaces>spt3125
**Imported revision 513215274 - Original comment: **
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''16/13'''
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<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>513215274</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">**16/13**
|4 0 0 0 0 -1&gt;
|4 0 0 0 0 -1&gt;
359.47234 cents
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]].
[[File:jid_16_13_pluck_adu_dr220.mp3]] [[:File:jid_16_13_pluck_adu_dr220.mp3|sound sample]]
 
In [[13-limit|13-limit]] [[Just_intonation|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|Gallery of Just Intervals]]     [[Category:13-limit]]
<h4>Original HTML content:</h4>
[[Category:interval]]
<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;
[[Category:just_interval]]
|4 0 0 0 0 -1&amp;gt;&lt;br /&gt;
[[Category:neutral_3rd]]
359.47234 cents&lt;br /&gt;
[[Category:ratio]]
&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;
[[Category:third]]
&lt;br /&gt;
[[Category:tridecimal]]
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;
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 00:00, 17 July 2018

16/13 |4 0 0 0 0 -1>

359.47234 cents

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, the 13th harmonic. It differs from 5/4 by 65/64, about 26.8¢. It differs from the undecimal neutral third 11/9 by 144/143, about 12¢. A root-3rd-P5 triad featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, 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 harmonic series.

See: Gallery of Just Intervals

Retrieved from "https://en.xen.wiki/index.php?title=16/13&oldid=270"