Paul Erlich - Revision history

Fredg999: Added 2 external links

2023-01-02T06:13:36Z

Added 2 external links

← Older revision		Revision as of 06:13, 2 January 2023
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	His definition of [[harmonic entropy]], a refinement of a model by van Eck influenced by Ernst Terhardt, has received attention from music theorists such as [[Bill Sethares]].		His definition of [[harmonic entropy]], a refinement of a model by van Eck influenced by Ernst Terhardt, has received attention from music theorists such as [[Bill Sethares]].

			Erlich was a member of the rock band Stretch.

	== Papers ==		== Papers ==
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	* [[:File:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and the Equal Temperaments]]		* [[:File:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and the Equal Temperaments]]
	* [[:File:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]		* [[:File:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]

			== External links ==
			* [https://web.archive.org/web/20090131204356/http://www.stretch-music.com/paulerlich.htm "Paul Erlich"] on Stretch's official website (archived)
			* [https://www.soundclick.com/artist/default.cfm?bandID=150835 Stretch] on SoundClick

	{{DEFAULTSORT:Erlich, Paul}}		{{DEFAULTSORT:Erlich, Paul}}
	[[Category:People]]		[[Category:People]]
	[[Category:Theorists]]		[[Category:Theorists]]

Fredg999 category edits: Moving from Category:Theorist to Category:Theorists using Cat-a-lot

2022-02-23T00:03:29Z

Moving from Category:Theorist to Category:Theorists using Cat-a-lot

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	{{DEFAULTSORT:Erlich, Paul}}		{{DEFAULTSORT:Erlich, Paul}}
	[[Category:People]]		[[Category:People]]
	[[Category:~~Theorist~~]]		[[Category:Theorists]]

Fredg999: Added a proper lead section (mostly from Wikipedia, but summarized and adapted), added Wikipedia box, cleanup, categories, sort key

2022-02-06T06:45:59Z

Added a proper lead section (mostly from Wikipedia, but summarized and adapted), added Wikipedia box, cleanup, categories, sort key

← Older revision		Revision as of 06:45, 6 February 2022
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	Wikipedia~~: [http://en.wikipedia.org/wiki/Paul_Erlich~~ Paul Erlich]		{{Wikipedia\|Paul Erlich}}
			'''Paul Erlich''' (born 1972) is a guitarist and music theorist living near Boston, Massachusetts. He is known for his seminal role in developing the theory of [[regular temperament]]s, including being the first to define [[pajara]] temperament and its decatonic scales in [[22edo]].

	~~==Papers==~~		His definition of [[harmonic entropy]], a refinement of a model by van Eck influenced by Ernst Terhardt, has received attention from music theorists such as [[Bill Sethares]].

	[[:File:erlich-tFoT.pdf\|The Forms of Tonality]]		== Papers ==
			* [[:File:erlich-tFoT.pdf\|The Forms of Tonality]]
			* [[:File:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and the Equal Temperaments]]
			* [[:File:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]

	[[:~~File:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and the Equal Temperaments~~]]		{{DEFAULTSORT:Erlich, Paul}}
			[[Category:People]]
	[[:~~File:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament~~]]		[[Category:Theorist]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		Wikipedia: [http://en.wikipedia.org/wiki/Paul_Erlich Paul Erlich]
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	~~: This revision was by author [[User:clumma\|clumma]] and made on <tt>2015-12-29 18:16:41 UTC</tt>.<br>~~
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	==Papers==		==Papers==

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	[[~~file~~:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and the Equal Temperaments]]		[[:File:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and the Equal Temperaments]]

	[[~~file~~:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]~~</pre></div>~~		[[:File:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]
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	~~<br />~~
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	<a href="/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf" onclick="ws.common.trackFileLink('/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf');">A Middle Path Between Just Intonation and the Equal Temperaments</a><br />
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Wikispaces>clumma: Imported revision 570885229 - Original comment:

2015-12-29T18:16:41Z

**Imported revision 570885229 - Original comment: **

Wikispaces>clumma: Imported revision 570885223 - Original comment:

2015-12-29T18:16:13Z

**Imported revision 570885223 - Original comment: **

← Older revision		Revision as of 18:16, 29 December 2015
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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>
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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">Wikipedia: [[http://en.wikipedia.org/wiki/Paul_Erlich\|Paul Erlich]]		<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">Wikipedia: [[http://en.wikipedia.org/wiki/Paul_Erlich\|Paul Erlich]]

	=Papers=		==Papers==

	[[file:erlich-tFoT.pdf\|The Forms of Tonality]]		[[file:erlich-tFoT.pdf\|The Forms of Tonality]]

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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>Paul Erlich</title></head><body>Wikipedia: <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Paul_Erlich" rel="nofollow">Paul Erlich</a><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>Paul Erlich</title></head><body>Wikipedia: <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Paul_Erlich" rel="nofollow">Paul Erlich</a><br />
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	<a href="/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf" onclick="ws.common.trackFileLink('/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf');">A Middle Path Between Just Intonation and Equal Temperaments</a><br />		<a href="/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf" onclick="ws.common.trackFileLink('/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf');">A Middle Path Between Just Intonation and Equal Temperaments</a><br />
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Wikispaces>clumma: Imported revision 570885217 - Original comment:

2015-12-29T18:15:48Z

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Wikispaces>clumma: Imported revision 570885001 - Original comment:

2015-12-29T18:05:38Z

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Wikispaces>clumma: Imported revision 570884985 - Original comment:

2015-12-29T18:04:55Z

**Imported revision 570884985 - Original comment: **

Wikispaces>clumma: Imported revision 570884971 - Original comment:

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← Older revision		Revision as of 18:04, 29 December 2015
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	=Papers=		=Papers=
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	<a ~~class~~="~~wiki_link_ext~~" ~~href~~="~~http://xenharmonic~~.~~wikispaces~~.~~com~~/file/~~detail~~/~~22all~~.pdf~~" rel="nofollow~~">~~Tuning,~~ Tonality~~, and Twenty-Two-Tone Temperament~~</a><br />		<a href="/file/view/erlich-tFoT.pdf/297273372/erlich-tFoT.pdf" onclick="ws.common.trackFileLink('/file/view/erlich-tFoT.pdf/297273372/erlich-tFoT.pdf');">The Forms of Tonality</a><br />
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	~~<a class="wiki_link_ext" href="http~~:~~//xenharmonic.wikispaces.com/file/detail/~~erlich-~~tFoT~~.pdf~~" rel="nofollow">The Forms of~~ Tonality~~</a>~~</body></html></pre></div>		[file:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]</body></html></pre></div>

← Older revision		Revision as of 18:15, 29 December 2015
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	=Papers=		=Papers=
	[[file:erlich-tFoT.pdf\|The Forms of Tonality]]		[[file:erlich-tFoT.pdf\|The Forms of Tonality]]

	[[file:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and Equal Temperaments]]		[[file:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and Equal Temperaments]]

	[[file:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]</pre></div>		[[file:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]</pre></div>
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← Older revision		Revision as of 18:05, 29 December 2015
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	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:clumma\|clumma]] and made on <tt>2015-12-29 18:04:55 UTC</tt>.<br>		: This revision was by author [[User:clumma\|clumma]] and made on <tt>2015-12-29 18:05:38 UTC</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>		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>		<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">[[http://en.wikipedia.org/wiki/Paul_Erlich\|Paul Erlich]] ~~(Wikipedia)~~		<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">Wikipedia: [[http://en.wikipedia.org/wiki/Paul_Erlich\|Paul Erlich]]

	=Papers=		=Papers=
	[[file:erlich-tFoT.pdf\|The Forms of Tonality]]		[[file:erlich-tFoT.pdf\|The Forms of Tonality]]
	[[file:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and Equal Temperaments]]		[[file:MiddlePath2015.pdf\|A Middle Path Between Just Intonation and Equal Temperaments]]
	[file:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]</pre></div>		[[file:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]</pre></div>
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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>Paul Erlich</title></head><body><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Paul_Erlich" rel="nofollow">Paul Erlich</a> ~~(Wikipedia)~~<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>Paul Erlich</title></head><body>Wikipedia: <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Paul_Erlich" rel="nofollow">Paul Erlich</a><br />
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Papers"></a><!-- ws:end:WikiTextHeadingRule:0 -->Papers</h1>		<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Papers"></a><!-- ws:end:WikiTextHeadingRule:0 -->Papers</h1>
	<a href="/file/view/erlich-tFoT.pdf/297273372/erlich-tFoT.pdf" onclick="ws.common.trackFileLink('/file/view/erlich-tFoT.pdf/297273372/erlich-tFoT.pdf');">The Forms of Tonality</a><br />		<a href="/file/view/erlich-tFoT.pdf/297273372/erlich-tFoT.pdf" onclick="ws.common.trackFileLink('/file/view/erlich-tFoT.pdf/297273372/erlich-tFoT.pdf');">The Forms of Tonality</a><br />
	<a href="/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf" onclick="ws.common.trackFileLink('/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf');">A Middle Path Between Just Intonation and Equal Temperaments</a><br />		<a href="/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf" onclick="ws.common.trackFileLink('/file/view/MiddlePath2015.pdf/570885053/MiddlePath2015.pdf');">A Middle Path Between Just Intonation and Equal Temperaments</a><br />
	[file:erlich-decatonic.pdf\|Tuning, Tonality, and Twenty-Two-Tone Temperament]]</body></html></pre></div>		<a href="/file/view/erlich-decatonic.pdf/570885023/erlich-decatonic.pdf" onclick="ws.common.trackFileLink('/file/view/erlich-decatonic.pdf/570885023/erlich-decatonic.pdf');">Tuning, Tonality, and Twenty-Two-Tone Temperament</a></body></html></pre></div>

Paul Erlich - Revision history

Fredg999: Added 2 external links

Fredg999 category edits: Moving from Category:Theorist to Category:Theorists using Cat-a-lot

Fredg999: Added a proper lead section (mostly from Wikipedia, but summarized and adapted), added Wikipedia box, cleanup, categories, sort key

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>clumma: **Imported revision 570885229 - Original comment: **

Wikispaces>clumma: **Imported revision 570885223 - Original comment: **

Wikispaces>clumma: **Imported revision 570885217 - Original comment: **

Wikispaces>clumma: **Imported revision 570885001 - Original comment: **