Pitch class: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 345398546 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 345399078 - Original comment: ** |
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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:genewardsmith|genewardsmith]] and made on <tt>2012-06-14 13: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-14 13:52:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>345399078</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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<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 | <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]] | |||
{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 ...}. | 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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<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 /> | <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 /> | ||
<br /> | <br /> | ||
&lt; | <!-- 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 /> | <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 /> | 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 /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- 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 /> | The Wikipedia article on it is:<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pitch_class" rel="nofollow">Pitch class</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pitch_class" rel="nofollow">Pitch class</a></body></html></pre></div> | ||
Revision as of 13:52, 14 June 2012
IMPORTED REVISION FROM WIKISPACES
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 "C" is the set<br />
<br />
<!-- ws:start:WikiTextMathRule:0:
[[math]]<br/>
{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> ...}<br/>[[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:<h1> --><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>