Bill Sethares: Difference between revisions
Wikispaces>Omegatron **Imported revision 521257052 - Original comment: ** |
Wikispaces>Omegatron **Imported revision 551709158 - Original comment: ** |
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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> | : 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> | : The original revision id was <tt>551709158</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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[[image:http://sethares.engr.wisc.edu/images/image1.gif]] | [[image:http://sethares.engr.wisc.edu/images/image1.gif]] | ||
He then uses this to derive scales for timbres with non-harmonic spectra, which are | 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. [[ | 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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He then uses this to derive scales for timbres with non-harmonic spectra, which are | 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 /> | ||
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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="/ | 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 /> | ||
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<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> | ||