Bill Sethares: Difference between revisions

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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:

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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."

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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:
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+[[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>
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-[[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."