Mediant (operation): Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
In the context of JI ratios, the mediant M of two ratios a/c and b/d is M=(a+b)/(c+d). It will always be between the two ratios (a/c &lt; M &lt; b/d, assuming a/c &lt; b/d).
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>2013-12-24 18:26:59 UTC</tt>.<br>
: The original revision id was <tt>479296026</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 the context of JI ratios, the mediant M of two ratios a/c and b/d is M=(a+b)/(c+d). It will always be between the two ratios (a/c &lt; M &lt; b/d, assuming a/c &lt; b/d).


[[http://en.wikipedia.org/wiki/Mediant_(mathematics)|Wikipedia article on the mediant]]
[http://en.wikipedia.org/wiki/Mediant_(mathematics) Wikipedia article on the mediant]


also see:
also see:
[[@http://dkeenan.com/Music/NobleMediant.txt|The Noble Mediant: Complex ratios and metastable musical intervals]], by [[Margo Schulter]] and [[David Keenan]]</pre></div>
 
<h4>Original HTML content:</h4>
[http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant: Complex ratios and metastable musical intervals], by [[Margo_Schulter|Margo Schulter]] and [[David_Keenan|David Keenan]]
<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;mediant&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In the context of JI ratios, the mediant M of two ratios a/c and b/d is M=(a+b)/(c+d). It will always be between the two ratios (a/c &amp;lt; M &amp;lt; b/d, assuming a/c &amp;lt; b/d).&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Mediant_(mathematics)" rel="nofollow"&gt;Wikipedia article on the mediant&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
also see:&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://dkeenan.com/Music/NobleMediant.txt" rel="nofollow" target="_blank"&gt;The Noble Mediant: Complex ratios and metastable musical intervals&lt;/a&gt;, by &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt; and &lt;a class="wiki_link" href="/David%20Keenan"&gt;David Keenan&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>