Pitch class - Revision history

FloraC: + link

2025-07-21T09:47:36Z

+ link

← Older revision		Revision as of 09:47, 21 July 2025
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	== See also ==		== See also ==
			* [[Interval class]]
	* [[Octave equivalence]]		* [[Octave equivalence]]
	* [[Periodic scale]]		* [[Periodic scale]]

	[[Category:Scale]]		[[Category:Scale]]

FloraC: Cleanup

2025-07-21T09:45:27Z

Cleanup

← Older revision		Revision as of 09:45, 21 July 2025
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	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		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

	<math>~~{...~~, C_{-2}, C_{-1}, C_0, C_1, C_2 ~~...}~~</math>		<math>\left\lbrace \ldots, C_{-2}, C_{-1}, C_0, C_1, C_2, \ldots \right\rbrace</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, …}.

	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.		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.

Sintel: /* See also */ octave equivalence

2025-04-24T21:03:37Z

ArrowHead294 at 18:37, 13 March 2025

2025-03-13T18:37:16Z

← Older revision		Revision as of 18:37, 13 March 2025
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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 ...}.

	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.		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.

	== See also ==		== See also ==

Fredg999 category edits: Moving from Category:Theory to Category:Scale using Cat-a-lot

2023-02-20T02:40:24Z

Moving from Category:Theory to Category:Scale using Cat-a-lot

← Older revision		Revision as of 02:40, 20 February 2023
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	* [[Periodic scale]]		* [[Periodic scale]]

	[[Category:~~Theory~~]]		[[Category:Scale]]

Fredg999: Added 1 See also link, misc. edits

2022-07-26T15:31:33Z

Added 1 See also link, misc. edits

← Older revision		Revision as of 15:31, 26 July 2022
Line 6:		Line 6:
	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 ...}.

	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.		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.

			== See also ==
			* [[Periodic scale]]

	[[Category:Theory]]		[[Category:Theory]]

Fredg999: Used Wikipedia template, misc. edits

2022-07-26T15:29:23Z

Used Wikipedia template, misc. edits

← Older revision		Revision as of 15:29, 26 July 2022
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	A ''pitch class'' is a set (equivalence class) of all pitches that are a whole number of ~~octaves~~ (2/1) apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set		{{Wikipedia\|Pitch class}}
			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

	<math>{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}</math>		<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 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.		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=~~		[[Category:Theory]]
	~~http://en.wikipedia.org/wiki/Pitch_class~~

	~~[[Category:pitch]]~~
	~~[[Category:theory]]~~
	[[Category:~~tone~~]]

PiotrGrochowski at 18:40, 23 September 2018

2018-09-23T18:40:59Z

← Older revision		Revision as of 18:40, 23 September 2018
Line 5:		Line 5:
	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 ...}.

	In a [[nonoctave]] xenharmonic system, an interval other than the octave might be used to define equivalence. For example, in [[Bohlen-Pierce]] tuning, all pitches separated by a whole number of tritaves (3/1) may be considered equivalent.		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=		=Links=

Spt3125: removed obsolete categories; added nonoctave info

2018-09-23T18:29:48Z

removed obsolete categories; added nonoctave info

← Older revision		Revision as of 18:29, 23 September 2018
Line 1:		Line 1:
	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		A ''pitch class'' is a set (equivalence class) of all pitches that are a whole number of octaves (2/1) apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set

	<math>{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}</math>		<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 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, all pitches separated by a whole number of tritaves (3/1) may be considered equivalent.

	=Links=		=Links=
	~~The Wikipedia article on it is~~:		http://en.wikipedia.org/wiki/Pitch_class

	~~[http://en.wikipedia.org/wiki/Pitch_class Pitch class]~~ [[Category:pitch]]		[[Category:pitch]]
	~~[[Category:refonly~~]]
	[[Category:theory]]		[[Category:theory]]
	~~[[Category:todo:add_definition]]~~
	[[Category:tone]]		[[Category:tone]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		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
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: 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>{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}</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 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=
	=Links=
	The Wikipedia article on it is:		The Wikipedia article on it is:

	[[http://en.wikipedia.org/wiki/Pitch_class\|Pitch class]~~]</pre></div>~~		[http://en.wikipedia.org/wiki/Pitch_class Pitch class] [[Category:pitch]]
	~~<h4>Original HTML content~~:~~</h4>~~		[[Category:refonly]]
	<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 />		[[Category:theory]]
	~~<br />~~		[[Category:todo:add_definition]]
	~~<!-- ws:start:WikiTextMathRule:0:~~		[[Category:tone]]
	[[~~math~~]]~~&lt;br/&gt;~~
	~~{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}&lt;br/&gt;~~[[~~math~~]]
	~~--><script type="math/tex">{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}</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></pre></div>~~

← Older revision		Revision as of 21:03, 24 April 2025
Line 9:		Line 9:

	== See also ==		== See also ==
			* [[Octave equivalence]]
	* [[Periodic scale]]		* [[Periodic scale]]

	[[Category:Scale]]		[[Category:Scale]]