Interval class: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:~~xenwolf~~|~~xenwolf~~]] and made on <tt>2010-10-~~01 17~~:02:10 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-02 16:54:11 UTC</tt>.<br>

: The original revision id was <tt>~~167142653~~</tt>.<br>

: The original revision id was <tt>167258809</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>

//Interval class ~~(ic)~~. ~~The~~ distance between two pitch classes, measured by the shortest distance. C to G may be the interval of 7, but its interval class is 5. ~~Thus, the~~ largest ic--in [[12edo]]--is the tritone (6).//

//Interval class// is used in two different ways. One, common in academic "set theory", defines it as the distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic"--in [[12edo]]--is the tritone (6). This may be criticized on two grounds: it's not a class in the vocabulary of mathematics, and it's less useful than the second definition.

~~from http~~:~~//solomonsmusic.net/setheory~~.~~htm#Basic%20Definition~~

That definition, used for example by Scala, defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps i apart belong.

~~read also the Wikipedia article on it~~:

==Links===

[[http://solomonsmusic.net/setheory.htm#Basic%20Definition]]

[[http://en.wikipedia.org/wiki/Interval_class|Interval class]] </pre></div>

<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"><html><head><title>Interval class</title></head><body><br />

<em>Interval class ~~(ic)~~. ~~The~~ distance between two pitch classes, measured by the shortest distance. C to G may be the interval of 7, but its interval class is 5. ~~Thus, the~~ largest ic--in <a class="wiki_link" href="/12edo">12edo</a>--is the tritone (6).</em><br />

<em>Interval class</em> is used in two different ways. One, common in academic &quot;set theory&quot;, defines it as the distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or &quot;ic&quot;--in <a class="wiki_link" href="/12edo">12edo</a>--is the tritone (6). This may be criticized on two grounds: it's not a class in the vocabulary of mathematics, and it's less useful than the second definition.<br />

~~from~~ <~~!-- ws:start:WikiTextUrlRule:9:http://solomonsmusic.net/setheory.htm#Basic%20Definition --~~>~~&lt~~;a ~~class="wiki_link_ext" href="http://solomonsmusic.net/setheory.htm#Basic%20Definition" rel="nofollow">http://solomonsmusic.net/setheory~~.~~htm#Basic%20Definition</a>~~<br />

<br />

That definition, used for example by Scala, defines the interval class as the &quot;generic interval&quot; to which the specific intervals at a certain number of scale steps i apart belong.<br />

<br />

<h2 id="toc0"><a name="x-Links="></a>Links=</h2>

<br />

~~read also the Wikipedia article on it~~:<br />

<a class="wiki_link_ext" href="http://solomonsmusic.net/setheory.htm#Basic%20Definition" rel="nofollow">http://solomonsmusic.net/setheory.htm#Basic%20Definition</a><br />

<br />

<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Interval_class" rel="nofollow">Interval class</a></body></html></pre></div>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-10-01 17:02:10 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-02 16:54:11 UTC</tt>.<br>
-: The original revision id was <tt>167142653</tt>.<br>
+: The original revision id was <tt>167258809</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">
-//Interval class (ic). The distance between two pitch classes, measured by the shortest distance. C to G may be the interval of 7, but its interval class is 5. Thus, the largest ic--in [[12edo]]--is the tritone (6).//
+//Interval class// is used in two different ways. One, common in academic "set theory", defines it as the distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic"--in [[12edo]]--is the tritone (6). This may be criticized on two grounds: it's not a class in the vocabulary of mathematics, and it's less useful than the second definition.
-from http://solomonsmusic.net/setheory.htm#Basic%20Definition
+That definition, used for example by Scala, defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps i apart belong.
-read also the Wikipedia article on it:
+==Links===
+[[http://solomonsmusic.net/setheory.htm#Basic%20Definition]]
 [[http://en.wikipedia.org/wiki/Interval_class|Interval class]] </pre></div>
 <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;Interval class&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;br /&gt;
-&lt;em&gt;Interval class (ic). The distance between two pitch classes, measured by the shortest distance. C to G may be the interval of 7, but its interval class is 5. Thus, the largest ic--in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;--is the tritone (6).&lt;/em&gt;&lt;br /&gt;
+&lt;em&gt;Interval class&lt;/em&gt; is used in two different ways. One, common in academic &amp;quot;set theory&amp;quot;, defines it as the distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or &amp;quot;ic&amp;quot;--in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;--is the tritone (6). This may be criticized on two grounds: it's not a class in the vocabulary of mathematics, and it's less useful than the second definition.&lt;br /&gt;
-from &lt;!-- ws:start:WikiTextUrlRule:9:http://solomonsmusic.net/setheory.htm#Basic%20Definition --&gt;&lt;a class="wiki_link_ext" href="http://solomonsmusic.net/setheory.htm#Basic%20Definition" rel="nofollow"&gt;http://solomonsmusic.net/setheory.htm#Basic%20Definition&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:9 --&gt;&lt;br /&gt;
+&lt;br /&gt;
+That definition, used for example by Scala, defines the interval class as the &amp;quot;generic interval&amp;quot; to which the specific intervals at a certain number of scale steps i apart belong.&lt;br /&gt;
 &lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Links="&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Links=&lt;/h2&gt;
 &lt;br /&gt;
-read also the Wikipedia article on it:&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://solomonsmusic.net/setheory.htm#Basic%20Definition" rel="nofollow"&gt;http://solomonsmusic.net/setheory.htm#Basic%20Definition&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Interval_class" rel="nofollow"&gt;Interval class&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>