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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Name = tridecimal augmented fourth, low tritone |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 15:52:02 UTC</tt>.<br>
| | | Color name = 3u4, thu 4th |
| : The original revision id was <tt>513256530</tt>.<br>
| | | Sound = jid_18_13_pluck_adu_dr220.mp3 |
| : 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>
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| <h4>Original Wikitext content:</h4>
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| <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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| 563.3823 cents
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| [[media type="file" key="jid_18_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_18_13_pluck_adu_dr220.mp3|sound sample]]
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| 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¢. | | In [[13-limit]] [[just intonation]], '''18/13''', the '''tridecimal augmented fourth''' is a '''low [[tritone]]''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales|harmonic series]]. |
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| 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.
| | 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¢. |
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| See: [[Gallery of Just Intervals]]</pre></div>
| | == See also == |
| <h4>Original HTML content:</h4>
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| <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>18_13</title></head><body><strong>18/13</strong><br />
| | * [[13/9]] – its [[octave complement]] |
| |1 2 0 0 0 -1&gt;<br />
| | * [[13/12]] – its [[fifth complement]] |
| 563.3823 cents<br />
| | * [[Gallery of just intervals]] |
| <!-- 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 />
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| | [[Category:Tritone]] |
| 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 />
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| 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 />
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
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