Pitch class: Difference between revisions

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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:phylingual|phylingual]] and made on <tt>2012-06-14 14:34:31 UTC</tt>.<br>
: The original revision id was <tt>345411012</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">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]]
<math>\left\lbrace \ldots, C_{-2}, C_{-1}, C_0, C_1, C_2, \ldots \right\rbrace</math>
{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}
[[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 ...}.
In terms of frequencies expressed in [[Hertz]], assuming a base frequency for middle C of 262&nbsp;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 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.


=Links=  
== See also ==
The Wikipedia article on it is:
* [[Interval class]]
* [[Octave equivalence]]
* [[Periodic scale]]


[[http://en.wikipedia.org/wiki/Pitch_class|Pitch class]]</pre></div>
[[Category:Scale]]
<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;Pitch class&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;em&gt;pitch class&lt;/em&gt; 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 &amp;quot;C&amp;quot; is the set&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextMathRule:0:
[[math]]&amp;lt;br/&amp;gt;
{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}&amp;lt;br/&amp;gt;[[math]]
--&gt;&lt;script type="math/tex"&gt;{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:0 --&gt;&lt;br /&gt;
&lt;br /&gt;
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 ...}.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Links&lt;/h1&gt;
The Wikipedia article on it is:&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pitch_class" rel="nofollow"&gt;Pitch class&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>