Interval class: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 167258917 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 167386757 - Original comment: somewhat clearer (?)** |
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<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: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-10-03 16:23:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>167386757</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>somewhat clearer (?)</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> | ||
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//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. | //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. | ||
The second 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. | |||
==Links== | ==Links== | ||
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<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 /> | <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 /> | ||
<br /> | <br /> | ||
The second 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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:0 -->Links</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:0 -->Links</h2> | ||
Revision as of 16:23, 3 October 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2010-10-03 16:23:57 UTC.
- The original revision id was 167386757.
- The revision comment was: somewhat clearer (?)
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
//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. The second 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. ==Links== [[http://solomonsmusic.net/setheory.htm#Basic%20Definition]] [[http://en.wikipedia.org/wiki/Interval_class|Interval class]]
Original HTML content:
<html><head><title>Interval class</title></head><body><br /> <em>Interval class</em> 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 <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 /> <br /> The second 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.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:0 -->Links</h2> <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>