18/13: Difference between revisions

Revision as of 15:52, 8 June 2014

IMPORTED REVISION FROM WIKISPACES

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This revision was by author spt3125 and made on 2014-06-08 15:52:02 UTC.

The original revision id was 513256530.

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**18/13**
|1 2 0 0 0 -1>
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¢.

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]]

Original HTML content:

<html><head><title>18_13</title></head><body><strong>18/13</strong><br />
|1 2 0 0 0 -1&gt;<br />
563.3823 cents<br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_18_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_18_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_18_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_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');">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>, <strong>18/13</strong> is a low <a class="wiki_link" href="/tritone">tritone</a> measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the <a class="wiki_link" href="/overtone%20scales">harmonic series</a>. The low tritone in <a class="wiki_link" href="/17edo">17edo</a> approximates 18/13 quite well, while 17edo's approximations of <a class="wiki_link" href="/13_8">13/8</a> and <a class="wiki_link" href="/9_8">9/8</a> are both a little sharp. The inversion of 18/13 is <a class="wiki_link" href="/13_9">13/9</a>, a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.<br />
<br />
Other just tritones include <a class="wiki_link" href="/7_5">7/5</a>, <a class="wiki_link" href="/10_7">10/7</a>, <a class="wiki_link" href="/45_32">45/32</a>, <a class="wiki_link" href="/64_45">64/45</a>, <a class="wiki_link" href="/24_17">24/17</a>, <a class="wiki_link" href="/17_12">17/12</a>, <a class="wiki_link" href="/23_16">23/16</a>, <a class="wiki_link" href="/32_23">32/23</a>, and, of course, infinitely many more intervals.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:guest|guest]] and made on <tt>2012-03-21 04:29:31 UTC</tt>.<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>313095040</tt>.<br>
+: The original revision id was <tt>513256530</tt>.<br>
-: The revision comment was: <tt>lemma in bold</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">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¢.
+<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**
+|1 2 0 0 0 -1&gt;
+.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¢.
 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.
@@ Line 12: / Line 17: @@
 See: [[Gallery of Just Intervals]]</pre></div>
 <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;18_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;, &lt;strong&gt;18/13&lt;/strong&gt; is a low tritone 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;
+<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;
+|1 2 0 0 0 -1&amp;gt;&lt;br /&gt;
+.3823 cents&lt;br /&gt;
+&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;
+&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>

18/13: Difference between revisions

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