Pitch class: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-14 13:50:30 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-14 13:51:20 UTC</tt>.

: The original revision id was <tt>~~345398242~~</tt>.

: The original revision id was <tt>345398546</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Line 8:

<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

:{C''n'' : ''n'' is an [[integer]]} = {..., C-2, C-1, C0, C1, C2, C3 ...};

<math>{C''n'' : ''n'' is an [[integer]]} = {..., C-2, C-1, C0, C1, C2, C3 ...}</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 ...}.

Line 20:

<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 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 &quot;C&quot; is the set

:{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;{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;

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 ...}.

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 13:50:30 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-14 13:51:20 UTC</tt>.<br>
-: The original revision id was <tt>345398242</tt>.<br>
+: The original revision id was <tt>345398546</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>
@@ Line 8: / Line 8: @@
 <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
-:{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;math&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;/math&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 ...}.
@@ Line 20: / Line 20: @@
 <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;
-:{C&amp;lt;sub&amp;gt;''n''&amp;lt;/sub&amp;gt; : ''n'' is an &lt;a class="wiki_link" href="/integer"&gt;integer&lt;/a&gt;} = {..., C&amp;lt;sub&amp;gt;-2&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;-1&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ...};&lt;br /&gt;
+&amp;lt;math&amp;gt;{C&amp;lt;sub&amp;gt;''n''&amp;lt;/sub&amp;gt; : ''n'' is an &lt;a class="wiki_link" href="/integer"&gt;integer&lt;/a&gt;} = {..., C&amp;lt;sub&amp;gt;-2&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;-1&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;, C&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ...}&amp;lt;/math&amp;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;