26/17: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''26/17'''
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 21:14:53 UTC</tt>.<br>
: The original revision id was <tt>513277608</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">**26/17**
|1 0 0 0 0 1 -1&gt;
|1 0 0 0 0 1 -1&gt;
735.5723 cents
735.5723 cents
[[media type="file" key="jid_26_17_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_26_17_pluck_adu_dr220.mp3|sound sample]]


In [[17-limit]] [[Just Intonation]], 26/17 is the "septendecimal super-fifth," measuring about 735.6¢. It differs from a [[3_2|3/2]] perfect fifth by the [[comma]] 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of [[List of root-3rd-P5 triads in JI|root-3rd-P5]] chords -- in particular, 17:20:26, 17:21:26, 17:22:26.
[[File:jid_26_17_pluck_adu_dr220.mp3]] [[:File:jid_26_17_pluck_adu_dr220.mp3|sound sample]]
 
In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 26/17 is the "septendecimal super-fifth," measuring about 735.6¢. It differs from a [[3/2|3/2]] perfect fifth by the [[Comma|comma]] 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5]] chords -- in particular, 17:20:26, 17:21:26, 17:22:26.


26/17 is the [[mediant]] between 3/2 and 23/15. Its inversion is [[17_13|17/13]], the "septendecimal sub-fourth".
26/17 is the [[mediant|mediant]] between 3/2 and 23/15. Its inversion is [[17/13|17/13]], the "septendecimal sub-fourth".


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;26_17&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;26/17&lt;/strong&gt;&lt;br /&gt;
|1 0 0 0 0 1 -1&amp;gt;&lt;br /&gt;
735.5723 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_26_17_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_26_17_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_26_17_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_26_17_pluck_adu_dr220.mp3/513250132/jid_26_17_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_26_17_pluck_adu_dr220.mp3/513250132/jid_26_17_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;, 26/17 is the &amp;quot;septendecimal super-fifth,&amp;quot; measuring about 735.6¢. It differs from a &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; perfect fifth by the &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt; 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of &lt;a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI"&gt;root-3rd-P5&lt;/a&gt; chords -- in particular, 17:20:26, 17:21:26, 17:22:26.&lt;br /&gt;
&lt;br /&gt;
26/17 is the &lt;a class="wiki_link" href="/mediant"&gt;mediant&lt;/a&gt; between 3/2 and 23/15. Its inversion is &lt;a class="wiki_link" href="/17_13"&gt;17/13&lt;/a&gt;, the &amp;quot;septendecimal sub-fourth&amp;quot;.&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

26/17 |1 0 0 0 0 1 -1>

735.5723 cents

sound sample

In 17-limit Just Intonation, 26/17 is the "septendecimal super-fifth," measuring about 735.6¢. It differs from a 3/2 perfect fifth by the comma 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of root-3rd-P5 chords -- in particular, 17:20:26, 17:21:26, 17:22:26.

26/17 is the mediant between 3/2 and 23/15. Its inversion is 17/13, the "septendecimal sub-fourth".

See: Gallery of Just Intervals

Retrieved from "https://en.xen.wiki/index.php?title=26/17&oldid=529"