17/12: Difference between revisions

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**Imported revision 590081974 - Original comment: fix mistake**
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''17/12'''
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-24 15:09:49 UTC</tt>.<br>
: The original revision id was <tt>590081974</tt>.<br>
: The revision comment was: <tt>fix mistake</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">**17/12**
|-2 -1 0 0 0 0 1&gt;
|-2 -1 0 0 0 0 1&gt;
603.0004 cents
603.0004 cents
[[media type="file" key="jid_17_12_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_17_12_pluck_adu_dr220.mp3|sound sample]]


In [[17-limit]] [[Just Intonation]], 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," [[24_17|24/17]], and the interval that separates them is the small [[comma]] [[289_288|289/288]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.
[[File:jid_17_12_pluck_adu_dr220.mp3]] [[:File:jid_17_12_pluck_adu_dr220.mp3|sound sample]]
 
In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," [[24/17|24/17]], and the interval that separates them is the small [[Comma|comma]] [[289/288|289/288]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO|EDO]] system contains a close approximation to these intervals.


17/12 is the [[mediant]] between the two septimal tritones [[7_5|7/5]] and [[10_7|10/7]].
17/12 is the [[mediant|mediant]] between the two septimal tritones [[7/5|7/5]] and [[10/7|10/7]].


See: [[Gallery of Just Intervals]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
<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;17_12&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;17/12&lt;/strong&gt;&lt;br /&gt;
|-2 -1 0 0 0 0 1&amp;gt;&lt;br /&gt;
603.0004 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_12_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_17_12_pluck_adu_dr220.mp3&amp;amp;quot; width=&amp;amp;quot;240&amp;amp;quot; height=&amp;amp;quot;20&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_17_12_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_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
In &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 17/12 is the &amp;quot;second septendecimal tritone,&amp;quot; measuring very nearly 603¢. Its inversion is the &amp;quot;first septendecimal tritone,&amp;quot; &lt;a class="wiki_link" href="/24_17"&gt;24/17&lt;/a&gt;, and the interval that separates them is the small &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt; &lt;a class="wiki_link" href="/289_288"&gt;289/288&lt;/a&gt;, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; system contains a close approximation to these intervals.&lt;br /&gt;
&lt;br /&gt;
17/12 is the &lt;a class="wiki_link" href="/mediant"&gt;mediant&lt;/a&gt; between the two septimal tritones &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; and &lt;a class="wiki_link" href="/10_7"&gt;10/7&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

17/12 |-2 -1 0 0 0 0 1>

603.0004 cents

sound sample

In 17-limit Just Intonation, 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," 24/17, and the interval that separates them is the small comma 289/288, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered EDO system contains a close approximation to these intervals.

17/12 is the mediant between the two septimal tritones 7/5 and 10/7.

See: Gallery of Just Intervals

Retrieved from "https://en.xen.wiki/index.php?title=17/12&oldid=302"