Interval class: Difference between revisions
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 /> | ||
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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 /> | |||
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