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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Wikipedia|Pitch class}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | A '''pitch class''' is a set (equivalence class) of all pitches that are a whole number of [[octave]]s (2/1) apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-14 13:51:20 UTC</tt>.<br>
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| : The original revision id was <tt>345398546</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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">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
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| <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>
| | <math>\left\lbrace \ldots, C_{-2}, C_{-1}, C_0, C_1, C_2, \ldots \right\rbrace</math> |
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| 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 ...}. | | 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, …}. |
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| | In a [[nonoctave]] xenharmonic system, an interval other than the octave might be used to define [[equivalence]]. For example, in [[Bohlen–Pierce]] tuning and other [[edt|equal divisions per tritave]], all pitches separated by a whole number of tritaves (3/1) may be considered equivalent. |
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| =Links= | | == See also == |
| The Wikipedia article on it is:
| | * [[Interval class]] |
| | * [[Octave equivalence]] |
| | * [[Periodic scale]] |
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| [[http://en.wikipedia.org/wiki/Pitch_class|Pitch class]] </pre></div> | | [[Category:Scale]] |
| <h4>Original HTML content:</h4>
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| <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>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 />
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| &lt;math&gt;{C&lt;sub&gt;''n''&lt;/sub&gt; : ''n'' is an <a class="wiki_link" href="/integer">integer</a>} = {..., 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;/math&gt;<br />
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| <br />
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| 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 />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:0 -->Links</h1>
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| The Wikipedia article on it is:<br />
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| <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pitch_class" rel="nofollow">Pitch class</a></body></html></pre></div>
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