18/13: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''18/13'''
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>2014-06-08 15:52:02 UTC</tt>.<br>
: The original revision id was <tt>513256530</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">**18/13**
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|1 2 0 0 0 -1&gt;
563.3823 cents
563.3823 cents
[[media type="file" key="jid_18_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_18_13_pluck_adu_dr220.mp3|sound sample]]


In [[13-limit]] [[Just Intonation]], **18/13** is a low [[tritone]] measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the [[overtone scales|harmonic series]]. The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13_8|13/8]] and [[9_8|9/8]] are both a little sharp. The inversion of 18/13 is [[13_9|13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.
[[File:jid_18_13_pluck_adu_dr220.mp3]] [[:File:jid_18_13_pluck_adu_dr220.mp3|sound sample]]
 
In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], '''18/13''' is a low [[tritone|tritone]] measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the [[overtone_scales|harmonic series]]. The low tritone in [[17edo|17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8|13/8]] and [[9/8|9/8]] are both a little sharp. The inversion of 18/13 is [[13/9|13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.


Other just tritones include [[7_5|7/5]], [[10_7|10/7]], [[45_32|45/32]], [[64_45|64/45]], [[24_17|24/17]], [[17_12|17/12]], [[23_16|23/16]], [[32_23|32/23]], and, of course, infinitely many more intervals.
Other just tritones include [[7/5|7/5]], [[10/7|10/7]], [[45/32|45/32]], [[64/45|64/45]], [[24/17|24/17]], [[17/12|17/12]], [[23/16|23/16]], [[32/23|32/23]], and, of course, infinitely many more intervals.


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:15-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">&lt;html&gt;&lt;head&gt;&lt;title&gt;18_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;18/13&lt;/strong&gt;&lt;br /&gt;
[[Category:interval]]
|1 2 0 0 0 -1&amp;gt;&lt;br /&gt;
[[Category:just_interval]]
563.3823 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_18_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_18_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_18_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_18_13_pluck_adu_dr220.mp3/513250016/jid_18_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_18_13_pluck_adu_dr220.mp3/513250016/jid_18_13_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
[[Category:tritone]]
&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;, &lt;strong&gt;18/13&lt;/strong&gt; is a low &lt;a class="wiki_link" href="/tritone"&gt;tritone&lt;/a&gt; measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the &lt;a class="wiki_link" href="/overtone%20scales"&gt;harmonic series&lt;/a&gt;. The low tritone in &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt; approximates 18/13 quite well, while 17edo's approximations of &lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt; and &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt; are both a little sharp. The inversion of 18/13 is &lt;a class="wiki_link" href="/13_9"&gt;13/9&lt;/a&gt;, a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.&lt;br /&gt;
&lt;br /&gt;
Other just tritones include &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;, &lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;, &lt;a class="wiki_link" href="/45_32"&gt;45/32&lt;/a&gt;, &lt;a class="wiki_link" href="/64_45"&gt;64/45&lt;/a&gt;, &lt;a class="wiki_link" href="/24_17"&gt;24/17&lt;/a&gt;, &lt;a class="wiki_link" href="/17_12"&gt;17/12&lt;/a&gt;, &lt;a class="wiki_link" href="/23_16"&gt;23/16&lt;/a&gt;, &lt;a class="wiki_link" href="/32_23"&gt;32/23&lt;/a&gt;, and, of course, infinitely many more intervals.&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

18/13 |1 2 0 0 0 -1>

563.3823 cents

sound sample

In 13-limit Just Intonation, 18/13 is a low tritone measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the harmonic series. The low tritone in 17edo approximates 18/13 quite well, while 17edo's approximations of 13/8 and 9/8 are both a little sharp. The inversion of 18/13 is 13/9, a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.

Other just tritones include 7/5, 10/7, 45/32, 64/45, 24/17, 17/12, 23/16, 32/23, and, of course, infinitely many more intervals.

See: Gallery of Just Intervals

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