26/25: Difference between revisions

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**Imported revision 515316730 - Original comment: **
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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 = large tridecimal third tone
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 20:49:14 UTC</tt>.<br>
| Color name = 3ogg2, thogugu 2nd
: The original revision id was <tt>515316730</tt>.<br>
| Sound = jid_26_25_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
| Comma = yes
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>
In [[13-limit]] [[just intonation]], '''26/25''', the '''large tridecimal third tone''' appears as the difference between the 26th and 25th [[harmonic]]s. Thus it makes the difference between [[13/8]] and [[25/16]] (a stack of two [[5/4]]'s). If it is treated as a comma, then [[5/4]] and [[13/10]] both collapse to a Neogothic-flavored major third in between them representing half of 13/8. It measures about 67.9¢.
<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">**26/25**
|1 0 -2 0 0 1&gt;
67.9002 cents
[[media type="file" key="jid_26_25_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_26_25_pluck_adu_dr220.mp3|sound sample]]


In [[13-limit]] [[Just Intonation]], 26/25 appears as the difference between the 26th harmonic and the 25th. Thus it makes the difference between [[13_8|13/8]] and [[25_16|25/16]] (a stack of two [[5_4|5/4]]'s). It measures about 67.9¢.
== Approximation ==
26/25 is very well approximated in [[53edo]] as 3\53 (+0.024{{cent}}), and in [[28edt]] as 1\28edt (+0.027{{cent}}). Its equal multiplication - 1ed26/25 - is effectively the same thing as 28edt.


See: [[Gallery of Just Intervals]], [[List of Superparticular Intervals]]</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[25/13]] - its [[octave complement]]
<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_25&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;26/25&lt;/strong&gt;&lt;br /&gt;
* [[27/26]] - the small tridecimal third tone
|1 0 -2 0 0 1&amp;gt;&lt;br /&gt;
* [[Gallery of just intervals]]
67.9002 cents&lt;br /&gt;
* [[List of superparticular intervals]]
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&lt;br /&gt;
[[Category:Third tone]]
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;, 26/25 appears as the difference between the 26th harmonic and the 25th. Thus it makes the difference between &lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt; and &lt;a class="wiki_link" href="/25_16"&gt;25/16&lt;/a&gt; (a stack of two &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;'s). It measures about 67.9¢.&lt;br /&gt;
[[Category:Commas named after their interval size]]
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;, &lt;a class="wiki_link" href="/List%20of%20Superparticular%20Intervals"&gt;List of Superparticular Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>