Mediant (operation): Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 250426286 - Original comment: **
 
Wikispaces>spt3125
**Imported revision 479287564 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-02 20:39:47 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2013-12-24 16:07:50 UTC</tt>.<br>
: The original revision id was <tt>250426286</tt>.<br>
: The original revision id was <tt>479287564</tt>.<br>
: The revision comment was: <tt></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>
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>
<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">
<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]]</pre></div>
 
[[http://en.wikipedia.org/wiki/Mediant_(mathematics)|Wikipedia article on the mediant]]
 
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>
<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;mediant&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;br /&gt;
<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;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;/body&gt;&lt;/html&gt;</pre></div>
&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>

Revision as of 16:07, 24 December 2013

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author spt3125 and made on 2013-12-24 16:07:50 UTC.
The original revision id was 479287564.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

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 < M < b/d, assuming a/c < b/d).

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

also see:
[[@http://dkeenan.com/Music/NobleMediant.txt|The Noble Mediant: Complex ratios and metastable musical intervals, ]]by [[Margo Schulter]] and [[David Keenan]]

Original HTML content:

<html><head><title>mediant</title></head><body>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).<br />
<br />
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Mediant_(mathematics)" rel="nofollow">Wikipedia article on the mediant</a><br />
<br />
also see:<br />
<a class="wiki_link_ext" href="http://dkeenan.com/Music/NobleMediant.txt" rel="nofollow" target="_blank">The Noble Mediant: Complex ratios and metastable musical intervals, </a>by <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a> and <a class="wiki_link" href="/David%20Keenan">David Keenan</a></body></html>