Bill Sethares - Revision history

BudjarnLambeth: Corrected Joe Monzo to Joseph Monzo

2023-08-09T08:39:28Z

Corrected Joe Monzo to Joseph Monzo

← Older revision		Revision as of 08:39, 9 August 2023
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	He then uses this to derive scales for timbres with non-harmonic spectra, such as the [http://en.wikipedia.org/wiki/Bonang bonang] used in gamelans, which, combined with harmonic spectra, [http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3 maps to the slendro scale used to tune them] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."		He then uses this to derive scales for timbres with non-harmonic spectra, such as the [http://en.wikipedia.org/wiki/Bonang bonang] used in gamelans, which, combined with harmonic spectra, [http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3 maps to the slendro scale used to tune them] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."

	However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[~~Joe~~ Monzo]] explains the discrepancy by [http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm calling this measurement] "[[roughness\|roughness]]", not dissonance, and stating that it must be combined with "[[tonalness]]" ([[Paul Erlich]]'s similarity to a [[harmonic series]]) to find the overall [[sonance]].		However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[Joseph Monzo]] explains the discrepancy by [http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm calling this measurement] "[[roughness\|roughness]]", not dissonance, and stating that it must be combined with "[[tonalness]]" ([[Paul Erlich]]'s similarity to a [[harmonic series]]) to find the overall [[sonance]].

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

Fredg999 category edits: Categories, sort key

2022-03-30T04:04:28Z

Categories, sort key

← Older revision		Revision as of 04:04, 30 March 2022
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	== See also ==		== See also ==

	* [[Mixed timbre]]		* [[Mixed timbre]]

	== External links ==		== External links ==

	* [http://sethares.engr.wisc.edu Homepage]		* [http://sethares.engr.wisc.edu Homepage]

			{{DEFAULTSORT:Sethares, Bill}}
			[[Category:People]]
	[[Category:Composers]]		[[Category:Composers]]
	[[Category:Theorists]]		[[Category:Theorists]]

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

2022-02-23T00:03:28Z

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

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	[[Category:Composers]]		[[Category:Composers]]
	[[Category:~~Theorist~~]]		[[Category:Theorists]]

Fredg999 category edits: Moving from Category:Composer to Category:Composers using Cat-a-lot

2022-02-22T23:57:02Z

Moving from Category:Composer to Category:Composers using Cat-a-lot

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	* [http://sethares.engr.wisc.edu Homepage]		* [http://sethares.engr.wisc.edu Homepage]

	[[Category:~~Composer~~]]		[[Category:Composers]]
	[[Category:Theorist]]		[[Category:Theorist]]

Fredg999: Added Wikipedia box

2021-12-12T03:14:59Z

Added Wikipedia box

← Older revision		Revision as of 03:14, 12 December 2021
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			{{Wikipedia\|William Sethares}}
	'''William A. Sethares''' (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[Andrew Milne]] and [[Jim Plamondon]] on [[isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.		'''William A. Sethares''' (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[Andrew Milne]] and [[Jim Plamondon]] on [[isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.

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	== External links ==		== External links ==

	* [http://en.wikipedia.org/wiki/William_Sethares Wikipedia article]
	* [http://sethares.engr.wisc.edu Homepage]		* [http://sethares.engr.wisc.edu Homepage]


	[[Category:Composer]]		[[Category:Composer]]
	[[Category:Theorist]]		[[Category:Theorist]]

Xenwolf: simplified wiki markup, cats, sections

2020-06-12T20:46:25Z

simplified wiki markup, cats, sections

← Older revision		Revision as of 20:46, 12 June 2020
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	'''William A. Sethares''' (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[~~Andrew_Milne\|~~Andrew Milne]] and [[~~Jim_Plamondon\|~~Jim Plamondon]] on [[~~ismorphic_keyboards\|~~isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.		'''William A. Sethares''' (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[Andrew Milne]] and [[Jim Plamondon]] on [[isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.

	[http://sethares.engr.wisc.edu/comprog.html His dissonance measure] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:		[http://sethares.engr.wisc.edu/comprog.html His dissonance measure] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:
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	He then uses this to derive scales for timbres with non-harmonic spectra, such as the [http://en.wikipedia.org/wiki/Bonang bonang] used in gamelans, which, combined with harmonic spectra, [http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3 maps to the slendro scale used to tune them] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."		He then uses this to derive scales for timbres with non-harmonic spectra, such as the [http://en.wikipedia.org/wiki/Bonang bonang] used in gamelans, which, combined with harmonic spectra, [http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3 maps to the slendro scale used to tune them] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."

	However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[~~Joe_Monzo\|~~Joe Monzo]] explains the discrepancy by [http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm calling this measurement] "[[roughness\|roughness]]", not dissonance, and stating that it must be combined with "[[~~tonalness\|~~tonalness]]" ([[~~Paul_Erlich\|~~Paul Erlich]]'s similarity to a [[~~harmonic_series\|~~harmonic series]]) to find the overall [[~~sonance\|~~sonance]].		However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[Joe Monzo]] explains the discrepancy by [http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm calling this measurement] "[[roughness\|roughness]]", not dissonance, and stating that it must be combined with "[[tonalness]]" ([[Paul Erlich]]'s similarity to a [[harmonic series]]) to find the overall [[sonance]].

	~~[http://en.wikipedia.org/wiki/William_Sethares Wikipedia article]~~		== See also ==

	[http://sethares.engr.wisc.edu Homepage]		* [[Mixed timbre]]

			== External links ==

			* [http://en.wikipedia.org/wiki/William_Sethares Wikipedia article]
			* [http://sethares.engr.wisc.edu Homepage]


			[[Category:Composer]]
			[[Category:Theorist]]

Spt3125: external image replaced with local copy

2018-09-22T03:26:07Z

external image replaced with local copy

← Older revision		Revision as of 03:26, 22 September 2018
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	[http://sethares.engr.wisc.edu/comprog.html His dissonance measure] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:		[http://sethares.engr.wisc.edu/comprog.html His dissonance measure] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:

	~~<div class='external-image-warning' style='background-color~~:~~#f8f9fa; border: 1px solid #eaecf0; padding~~-~~left: 0.5em; padding-right:0.5em; display:inline~~-~~block'>~~		[[File:Sethares-dissonance-image1.gif]]
	~~External image: http://sethares.engr.wisc.edu/images/~~image1.gif~~<br>~~
	~~: <small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>~~
	~~: <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small>~~
	~~</div>~~
	~~[[Category:IMPORTDEBUG - Change External Images~~]]

	He then uses this to derive scales for timbres with non-harmonic spectra, such as the [http://en.wikipedia.org/wiki/Bonang bonang] used in gamelans, which, combined with harmonic spectra, [http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3 maps to the slendro scale used to tune them] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."		He then uses this to derive scales for timbres with non-harmonic spectra, such as the [http://en.wikipedia.org/wiki/Bonang bonang] used in gamelans, which, combined with harmonic spectra, [http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3 maps to the slendro scale used to tune them] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."

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>~~		'''William A. Sethares''' (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[Andrew_Milne\|Andrew Milne]] and [[Jim_Plamondon\|Jim Plamondon]] on [[ismorphic_keyboards\|isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:Omegatron\|Omegatron]] and made on <tt>2015-05-20 20:14:02 UTC</tt>.<br>~~
	~~: The original revision id was <tt>551709158</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">William A. Sethares (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[Andrew Milne]] and [[Jim Plamondon]] on [[~~ismorphic keyboards~~\|isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.

	[[http://sethares.engr.wisc.edu/comprog.html\|His dissonance measure]] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:		[http://sethares.engr.wisc.edu/comprog.html His dissonance measure] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:

	[[image:http://sethares.engr.wisc.edu/images/image1.gif]]		<div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'>
			External image: http://sethares.engr.wisc.edu/images/image1.gif<br>
			: <small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>
			: <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small>
			</div>
			[[Category:IMPORTDEBUG - Change External Images]]

	He then uses this to derive scales for timbres with non-harmonic spectra, such as the [[http://en.wikipedia.org/wiki/Bonang\|bonang]] used in gamelans, which, combined with harmonic spectra, [[http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3\|maps to the slendro scale used to tune them]] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."		He then uses this to derive scales for timbres with non-harmonic spectra, such as the [http://en.wikipedia.org/wiki/Bonang bonang] used in gamelans, which, combined with harmonic spectra, [http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3 maps to the slendro scale used to tune them] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."

	However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[Joe Monzo]] explains the discrepancy by [[http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm\|calling this measurement]] "[[roughness]]", not dissonance, and stating that it must be combined with "[[tonalness]]" ([[Paul Erlich]]'s similarity to a [[harmonic series]]) to find the overall [[sonance]].		However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[Joe_Monzo\|Joe Monzo]] explains the discrepancy by [http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm calling this measurement] "[[roughness\|roughness]]", not dissonance, and stating that it must be combined with "[[tonalness\|tonalness]]" ([[Paul_Erlich\|Paul Erlich]]'s similarity to a [[harmonic_series\|harmonic series]]) to find the overall [[sonance\|sonance]].

	[[http://en.wikipedia.org/wiki/William_Sethares\|Wikipedia article]]		[http://en.wikipedia.org/wiki/William_Sethares Wikipedia article]
	[[http://sethares.engr.wisc.edu\|Homepage]~~]</pre></div>~~
	~~<h4>Original HTML content:</h4>~~		[http://sethares.engr.wisc.edu Homepage]
	<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>Bill Sethares</title></head><body><strong>William A. Sethares</strong> (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with <a class="wiki_link" href="/Andrew%20Milne">Andrew Milne</a> and <a class="wiki_link" href="/Jim%20Plamondon">Jim Plamondon</a> on <a class="wiki_link" href="/ismorphic%20keyboards">isomorphic keyboards</a>, which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.<br />
	~~<br />~~
	<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/comprog.html" rel="nofollow">His dissonance measure</a> is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:<br />
	~~<br />~~
	<!-- ws:start:WikiTextRemoteImageRule:0:&lt;img src=&quot;http://sethares.engr.wisc.edu/images/image1.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://sethares.engr.wisc.edu/images/image1.gif" alt="external image image1.gif" title="external image image1.gif" /><!-- ws:end:WikiTextRemoteImageRule:0 --><br />
	~~<br />~~
	He then uses this to derive scales for timbres with non-harmonic spectra, such as the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Bonang" rel="nofollow">bonang</a> used in gamelans, which, combined with harmonic spectra, <a class="wiki_link_ext" href="http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3" rel="nofollow">maps to the slendro scale used to tune them</a> . &quot;In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales.&quot;<br />
	~~<br />~~
	However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. <a class="wiki_link" href="/Joe%20Monzo">Joe Monzo</a> explains the discrepancy by <a class="wiki_link_ext" href="http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm" rel="nofollow">calling this measurement</a> &quot;<a class="wiki_link" href="/roughness">roughness</a>&quot;, not dissonance, and stating that it must be combined with &quot;<a class="wiki_link" href="/tonalness">tonalness</a>&quot; (<a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a>'s similarity to a <a class="wiki_link" href="/harmonic%20series">harmonic series</a>) to find the overall <a class="wiki_link" href="/sonance">sonance</a>.<br />
	~~<br />~~
	~~<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/William_Sethares" rel="nofollow">Wikipedia article</a><br />~~
	~~<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu" rel="nofollow">Homepage</a></body></html></pre></div>~~

Wikispaces>Omegatron: Imported revision 551709158 - Original comment:

2015-05-20T20:14:02Z

**Imported revision 551709158 - Original comment: **

Wikispaces>Omegatron: Imported revision 521257052 - Original comment:

2014-09-08T10:19:00Z

**Imported revision 521257052 - Original comment: **

← Older revision		Revision as of 10:19, 8 September 2014
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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:Omegatron\|Omegatron]] and made on <tt>2014-09-08 10:08:33 UTC</tt>.<br>		: This revision was by author [[User:Omegatron\|Omegatron]] and made on <tt>2014-09-08 10:19:00 UTC</tt>.<br>
	: The original revision id was <tt>~~521254618~~</tt>.<br>		: The original revision id was <tt>521257052</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">William A. Sethares (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[Andrew Milne]] and [[Jim Plamondon]] on [[ismorphic keyboards\|isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.		<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">William A. Sethares (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with [[Andrew Milne]] and [[Jim Plamondon]] on [[ismorphic keyboards\|isomorphic keyboards]], which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.

	[[http://sethares.engr.wisc.edu/comprog.html\|His dissonance measure]] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures. However, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[Paul Erlich]] [[http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm\|calls this measurement "roughness"]] , and combines it with "tonalness" (similarity to a harmonic series) to explain the discrepancy.		[[http://sethares.engr.wisc.edu/comprog.html\|His dissonance measure]] is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:

			[[image:http://sethares.engr.wisc.edu/images/image1.gif]]

			He then uses this to derive scales for timbres with non-harmonic spectra, which are said to match those actually in use by gamelans, etc.

			However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[Paul Erlich]] [[http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm\|calls this measurement "roughness"]] , and combines it with "tonalness" (similarity to a harmonic series) to explain the discrepancy.

	[[http://en.wikipedia.org/wiki/William_Sethares\|Wikipedia article]]		[[http://en.wikipedia.org/wiki/William_Sethares\|Wikipedia article]]
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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>Bill Sethares</title></head><body><strong>William A. Sethares</strong> (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with <a class="wiki_link" href="/Andrew%20Milne">Andrew Milne</a> and <a class="wiki_link" href="/Jim%20Plamondon">Jim Plamondon</a> on <a class="wiki_link" href="/ismorphic%20keyboards">isomorphic keyboards</a>, which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.<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>Bill Sethares</title></head><body><strong>William A. Sethares</strong> (born April 19, 1955) is an American music theorist and EE professor with extensive contributions to music theory. He is noted for work adjusting tuning and timbre based on the Plomp and Levelt approach to consonance, and work with <a class="wiki_link" href="/Andrew%20Milne">Andrew Milne</a> and <a class="wiki_link" href="/Jim%20Plamondon">Jim Plamondon</a> on <a class="wiki_link" href="/ismorphic%20keyboards">isomorphic keyboards</a>, which have the same fingering in all keys and which can be seen as a generalization of the work of Bosanquet.<br />
	<br />		<br />
	<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/comprog.html" rel="nofollow">His dissonance measure</a> is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures. However, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a> <a class="wiki_link_ext" href="http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm" rel="nofollow">calls this measurement &quot;roughness&quot;</a> , and combines it with &quot;tonalness&quot; (similarity to a harmonic series) to explain the discrepancy.<br />		<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/comprog.html" rel="nofollow">His dissonance measure</a> is based on summing the Plomp-Levelt roughness for every pair of tones in a sound, which produces smooth dissonance curves for dyads of harmonic sounds that are similar to other measures:<br />
			<br />
			<!-- ws:start:WikiTextRemoteImageRule:0:&lt;img src=&quot;http://sethares.engr.wisc.edu/images/image1.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://sethares.engr.wisc.edu/images/image1.gif" alt="external image image1.gif" title="external image image1.gif" /><!-- ws:end:WikiTextRemoteImageRule:0 --><br />
			<br />
			He then uses this to derive scales for timbres with non-harmonic spectra, which are said to match those actually in use by gamelans, etc.<br />
			<br />
			However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a> <a class="wiki_link_ext" href="http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm" rel="nofollow">calls this measurement &quot;roughness&quot;</a> , and combines it with &quot;tonalness&quot; (similarity to a harmonic series) to explain the discrepancy.<br />
	<br />		<br />
	<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/William_Sethares" rel="nofollow">Wikipedia article</a><br />		<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/William_Sethares" rel="nofollow">Wikipedia article</a><br />
	<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu" rel="nofollow">Homepage</a></body></html></pre></div>		<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu" rel="nofollow">Homepage</a></body></html></pre></div>

← Older revision		Revision as of 20:14, 20 May 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>
	: This revision was by author [[User:Omegatron\|Omegatron]] and made on <tt>~~2014~~-09-~~08 10~~:19:00 UTC</tt>.<br>		: This revision was by author [[User:Omegatron\|Omegatron]] and made on <tt>2015-05-20 20:14:02 UTC</tt>.<br>
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	He then uses this to derive scales for timbres with non-harmonic spectra, which are ~~said~~ to ~~match those actually in use by gamelans~~, ~~etc~~.		He then uses this to derive scales for timbres with non-harmonic spectra, such as the [[http://en.wikipedia.org/wiki/Bonang\|bonang]] used in gamelans, which, combined with harmonic spectra, [[http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3\|maps to the slendro scale used to tune them]] . "In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales."

	However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[~~Paul Erlich~~]] [[http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm\|~~calls~~ this measurement "roughness"]] , and ~~combines~~ it with "tonalness" (similarity to a harmonic series) to ~~explain~~ the ~~discrepancy~~.		However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. [[Joe Monzo]] explains the discrepancy by [[http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm\|calling this measurement]] "[[roughness]]", not dissonance, and stating that it must be combined with "[[tonalness]]" ([[Paul Erlich]]'s similarity to a [[harmonic series]]) to find the overall [[sonance]].

	[[http://en.wikipedia.org/wiki/William_Sethares\|Wikipedia article]]		[[http://en.wikipedia.org/wiki/William_Sethares\|Wikipedia article]]
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	<br />		<br />
	He then uses this to derive scales for timbres with non-harmonic spectra, which are ~~said~~ to ~~match those actually in use by gamelans~~, ~~etc~~.<br />		He then uses this to derive scales for timbres with non-harmonic spectra, such as the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Bonang" rel="nofollow">bonang</a> used in gamelans, which, combined with harmonic spectra, <a class="wiki_link_ext" href="http://www.musicandmeaning.net/issues/showArticle.php?artID=1.3" rel="nofollow">maps to the slendro scale used to tune them</a> . &quot;In the same way that Western harmonic instruments are related to Western scales, so the nonharmonic spectrum of gamelan instruments are related to the gamelan scales.&quot;<br />
	<br />		<br />
	However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. <a class="wiki_link" href="/~~Paul~~%~~20Erlich~~">~~Paul Erlich~~</a> <a class="wiki_link_ext" href="http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm" rel="nofollow">~~calls~~ this measurement &quot;roughness&~~amp;quot~~;</a> , and ~~combines~~ it with &quot;tonalness&quot; (similarity to a harmonic series) to ~~explain~~ the ~~discrepancy~~.<br />		However, when applied to more than 2 tones, it measures major chords (4:5:6) and minor chords (10:12:15) as equally dissonant, which is not the usual interpretation. <a class="wiki_link" href="/Joe%20Monzo">Joe Monzo</a> explains the discrepancy by <a class="wiki_link_ext" href="http://www.tonalsoft.com/sonic-arts/td/erlich/entropy.htm" rel="nofollow">calling this measurement</a> &quot;<a class="wiki_link" href="/roughness">roughness</a>&quot;, not dissonance, and stating that it must be combined with &quot;<a class="wiki_link" href="/tonalness">tonalness</a>&quot; (<a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a>'s similarity to a <a class="wiki_link" href="/harmonic%20series">harmonic series</a>) to find the overall <a class="wiki_link" href="/sonance">sonance</a>.<br />
	<br />		<br />
	<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/William_Sethares" rel="nofollow">Wikipedia article</a><br />		<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/William_Sethares" rel="nofollow">Wikipedia article</a><br />
	<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu" rel="nofollow">Homepage</a></body></html></pre></div>		<a class="wiki_link_ext" href="http://sethares.engr.wisc.edu" rel="nofollow">Homepage</a></body></html></pre></div>