Pitch class

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Revision as of 13:52, 14 June 2012 by Wikispaces>genewardsmith (**Imported revision 345399078 - Original comment: **)
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-06-14 13:52:29 UTC.
The original revision id was 345399078.
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:

A //pitch class// is a set (equivalence class) of all pitches that are a whole number of octaves apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set

[[math]]
{C<sub>''n''</sub> : ''n'' is an [[integer]]} = {..., C<sub>-2</sub>, C<sub>-1</sub>, C<sub>0</sub>, C<sub>1</sub>, C<sub>2</sub>, C<sub>3</sub> ...}
[[math]]

In terms of frequencies expressed in hertz, assuming a base frequency for middle C of 262 Hz, this would be {... 65.5, 131, 262, 524, 1028 ...}. In terms of midi note numbers, we can write it as {... 36, 48, 60, 72, 84 ...}.


=Links=
The Wikipedia article on it is:

[[http://en.wikipedia.org/wiki/Pitch_class|Pitch class]] 

Original HTML content:

<html><head><title>Pitch class</title></head><body>A <em>pitch class</em> is a set (equivalence class) of all pitches that are a whole number of octaves apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class &quot;C&quot; is the set<br />
<br />
<!-- ws:start:WikiTextMathRule:0:
[[math]]&lt;br/&gt;
{C&lt;sub&gt;''n''&lt;/sub&gt; : ''n'' is an [[integer]]} = {..., C&lt;sub&gt;-2&lt;/sub&gt;, C&lt;sub&gt;-1&lt;/sub&gt;, C&lt;sub&gt;0&lt;/sub&gt;, C&lt;sub&gt;1&lt;/sub&gt;, C&lt;sub&gt;2&lt;/sub&gt;, C&lt;sub&gt;3&lt;/sub&gt; ...}&lt;br/&gt;[[math]]
 --><script type="math/tex">{C<sub>''n''</sub> : ''n'' is an [[integer]]} = {..., C<sub>-2</sub>, C<sub>-1</sub>, C<sub>0</sub>, C<sub>1</sub>, C<sub>2</sub>, C<sub>3</sub> ...}</script><!-- ws:end:WikiTextMathRule:0 --><br />
<br />
In terms of frequencies expressed in hertz, assuming a base frequency for middle C of 262 Hz, this would be {... 65.5, 131, 262, 524, 1028 ...}. In terms of midi note numbers, we can write it as {... 36, 48, 60, 72, 84 ...}.<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:1 -->Links</h1>
The Wikipedia article on it is:<br />
<br />
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pitch_class" rel="nofollow">Pitch class</a></body></html>