19edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 216541228 - Original comment: **
Wikispaces>vaisvil
**Imported revision 229424150 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-04-03 00:05:44 UTC</tt>.<br>
: This revision was by author [[User:vaisvil|vaisvil]] and made on <tt>2011-05-17 20:30:46 UTC</tt>.<br>
: The original revision id was <tt>216541228</tt>.<br>
: The original revision id was <tt>229424150</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>
<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">[[toc|flat]]
<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">[[media type="custom" key="9458830"]][[toc|flat]]
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=Theory=  
=Theory=  
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* [[http://sonic-arts.org/darreg/case.htm|A Case For Nineteen]] by [[Ivor Darreg]] [[http://www.webcitation.org/5xZzBtDGF|Permalink]]
* [[http://sonic-arts.org/darreg/case.htm|A Case For Nineteen]] by [[Ivor Darreg]] [[http://www.webcitation.org/5xZzBtDGF|Permalink]]
* [[http://qcpages.qc.edu/~howe/articles/19-Tone%20Theory.html|19-Tone Theory and Applications]] by Hubert S. Howe Jr. [[http://www.webcitation.org/5xbMKVaqa|Permalink]]
* [[http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html|19-Tone Theory and Applications]] by Hubert S. Howe Jr. [[http://www.webcitation.org/5xbMKVaqa|Permalink]]
* [[http://sethares.engr.wisc.edu/tet19/guitarchords19.html|Tunings for 19 Tone Equal Tempered Guitar]] by William A. Sethares [[http://www.webcitation.org/5xeCbEPZ0|Permalink]]
* [[http://sethares.engr.wisc.edu/tet19/guitarchords19.html|Tunings for 19 Tone Equal Tempered Guitar]] by William A. Sethares [[http://www.webcitation.org/5xeCbEPZ0|Permalink]]
* [[http://www.n-ism.org/Projects/microtonalism.php|Microtonalism]] by Bailey, Morrison, Pearson and Parncutt [[http://www.webcitation.org/5xeDFQDvn|Permalink]]
* [[http://www.n-ism.org/Projects/microtonalism.php|Microtonalism]] by Bailey, Morrison, Pearson and Parncutt [[http://www.webcitation.org/5xeDFQDvn|Permalink]]
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Levy, Kenneth J., //Costeley's Chromatic Chanson//, Annales Musicologues:
Levy, Kenneth J., //Costeley's Chromatic Chanson//, Annales Musicologues:
Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.
Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.
19 note per octave Ibanez conversion by Brad Smith (Indianapolis)
[[image:http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg width="800" height="600"]]


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[[http://music.columbia.edu/%7Echris/sand.html|Sand]] by Christopher Bailey
[[http://music.columbia.edu/%7Echris/sand.html|Sand]] by Christopher Bailey
[[http://works.music.columbia.edu/%7Echris/19mix1.mp3|Walking Down the Hillside at Cortona, and Seeing its Towers Rise Before Me]] by Christopher Bailey
[[http://works.music.columbia.edu/%7Echris/19mix1.mp3|Walking Down the Hillside at Cortona, and Seeing its Towers Rise Before Me]] by Christopher Bailey
[[http://www.emcollective.org/chris/items/ditty/ditty_fast.mp3|Ditty]] by Christopher Bailey
[[http://www.emcollective.org/chris/items/ditty/ditty_fast.mp3|Ditty]] by Christopher Bailey
[[http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/sympathetic.html|Sympathetic metaphor]] by William Sethares
[[http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/sympathetic.html|Sympathetic metaphor]] by William Sethares
[[http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/truthonabus.html|Truth on a bus]] by William Sethares
[[http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/truthonabus.html|Truth on a bus]] by William Sethares
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Fanfare in 19-note Equal Tuning by Easley Blackwood
Fanfare in 19-note Equal Tuning by Easley Blackwood
[[http://www.uvnitr.cz/flaoyg/flao_yg/zvire.html|Zvíře]] by Milan Guštar
[[http://www.uvnitr.cz/flaoyg/flao_yg/zvire.html|Zvíře]] by Milan Guštar
[[http://www.ziaspace.com/ZIA/sections/music.html|19tet downloadable mp3s by ZIA, Elaine Walker and D.D.T.]]</pre></div>
[[http://www.ziaspace.com/ZIA/sections/music.html|19tet downloadable mp3s by ZIA, Elaine Walker and D.D.T.]]
[[@http://chrisvaisvil.com/?p=865|Forgetting Even Her Beauty blog]] [[http://micro.soonlabel.com/19-ET/daily20110516-19-forgetting_even_her_beauty.mp3|play]] by Chris Vaisvil
[[@http://chrisvaisvil.com/?p=855|19 Black Hawks for Osama blog]] [[http://www.youtube.com/watch?v=gGO0R381HQs|play video]] by Chris Vaisvil
[[@http://chrisvaisvil.com/?p=823|Summer Song blog]] [[http://micro.soonlabel.com/19-ET/daily20110501-19-summer_song_mix3.mp3|play]] by Trevor (The TwoRegs) and Norm Harris and Chris Vaisvil
[[@http://chrisvaisvil.com/?p=820|19 ImprovFridays blog]] [[http://www.youtube.com/watch?v=-KaRXFoYwT4|play video of performance]] by Chris Vaisvil</pre></div>
<h4>Original HTML content:</h4>
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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">&lt;html&gt;&lt;head&gt;&lt;title&gt;19edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:12:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Theory"&gt;Theory&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Compositions"&gt;Compositions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;19edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/9458830?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;9458830&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Theory&lt;/h1&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Theory&lt;/h1&gt;
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In music, &lt;strong&gt;19 equal temperament&lt;/strong&gt;, called 19-TET, 19-&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;, or 19-ET, is the scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 19 &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt;ly large steps. Each step represents a frequency ratio of the 19th root of 2, or 63.16 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s.&lt;br /&gt;
In music, &lt;strong&gt;19 equal temperament&lt;/strong&gt;, called 19-TET, 19-&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;, or 19-ET, is the scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 19 &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt;ly large steps. Each step represents a frequency ratio of the 19th root of 2, or 63.16 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s.&lt;br /&gt;
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Interest in this tuning system goes back to the sixteenth century, when composer Guillaume Costeley used it in his chanson &lt;em&gt;Seigneur Dieu ta pitié&lt;/em&gt; of 1558. Costeley understood and desired the circulating aspect of this tuning; in 1577 music theorist Francisco de Salinas in effect proposed it. Salinas discussed 1/3-comma meantone, in which the fifth is of size 694.786 cents; the fifth of 19-et is 694.737, which is only a twentieth of a cent flatter. Salinas suggested tuning nineteen tones to the octave to this tuning, which fails to close by less than a cent, so that his suggestion is effectively 19-et. In the nineteenth century mathematician and music theorist Wesley Woolhouse proposed it as a more practical alternative to meantone tunings he regarded as better, such as &lt;a class="wiki_link" href="/50edo"&gt;50 equal temperament&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://sonic-arts.org/monzo/woolhouse/essay.htm" rel="nofollow"&gt;summary of Woolhouse's essay&lt;/a&gt;).&lt;br /&gt;
Interest in this tuning system goes back to the sixteenth century, when composer Guillaume Costeley used it in his chanson &lt;em&gt;Seigneur Dieu ta pitié&lt;/em&gt; of 1558. Costeley understood and desired the circulating aspect of this tuning; in 1577 music theorist Francisco de Salinas in effect proposed it. Salinas discussed 1/3-comma meantone, in which the fifth is of size 694.786 cents; the fifth of 19-et is 694.737, which is only a twentieth of a cent flatter. Salinas suggested tuning nineteen tones to the octave to this tuning, which fails to close by less than a cent, so that his suggestion is effectively 19-et. In the nineteenth century mathematician and music theorist Wesley Woolhouse proposed it as a more practical alternative to meantone tunings he regarded as better, such as &lt;a class="wiki_link" href="/50edo"&gt;50 equal temperament&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://sonic-arts.org/monzo/woolhouse/essay.htm" rel="nofollow"&gt;summary of Woolhouse's essay&lt;/a&gt;).&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Theory-As an approximation of other temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;As an approximation of other temperaments&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Theory-As an approximation of other temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;As an approximation of other temperaments&lt;/h2&gt;
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The most salient characteristic of 19-et is that, having an almost just minor third and perfect fifths and major thirds about seven cents narrow, it serves as a good tuning for &lt;a class="wiki_link" href="/Regular%20Temperaments#meantone"&gt;meantone&lt;/a&gt; temperament. It is also a suitable for &lt;a class="wiki_link" href="/Regular%20Temperaments#magic"&gt;magic&lt;/a&gt; temperament, because five of its major thirds are equivalent to one of its &lt;em&gt;twelfths&lt;/em&gt;.&lt;br /&gt;
The most salient characteristic of 19-et is that, having an almost just minor third and perfect fifths and major thirds about seven cents narrow, it serves as a good tuning for &lt;a class="wiki_link" href="/Regular%20Temperaments#meantone"&gt;meantone&lt;/a&gt; temperament. It is also a suitable for &lt;a class="wiki_link" href="/Regular%20Temperaments#magic"&gt;magic&lt;/a&gt; temperament, because five of its major thirds are equivalent to one of its &lt;em&gt;twelfths&lt;/em&gt;.&lt;br /&gt;
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For both of these there are more optimal tunings, however. The generating interval for meantone is a fifth, and the fifth of 19-et is flatter than the usual for meantone; a more accurate approximation is &lt;a class="wiki_link" href="/31edo"&gt;31 equal temperament&lt;/a&gt;. Similarly, the generating interval of magic temperament is a major third, and again 19-et's is flatter; &lt;a class="wiki_link" href="/41edo"&gt;41 equal temperament&lt;/a&gt; more closely matches it.&lt;br /&gt;
For both of these there are more optimal tunings, however. The generating interval for meantone is a fifth, and the fifth of 19-et is flatter than the usual for meantone; a more accurate approximation is &lt;a class="wiki_link" href="/31edo"&gt;31 equal temperament&lt;/a&gt;. Similarly, the generating interval of magic temperament is a major third, and again 19-et's is flatter; &lt;a class="wiki_link" href="/41edo"&gt;41 equal temperament&lt;/a&gt; more closely matches it.&lt;br /&gt;
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However, for all of these 19-et has the practical advantage of requiring fewer pitches, which makes physical realizations of it easier to build. (Many 19-et instruments have been built.) 19-et is in fact the second equal temperament, after 12-et which is able to deal with &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;5-limit&lt;/a&gt; music in a tolerable manner, and is the fifth (after 12) Zeta function integral tuning, &lt;!-- ws:start:WikiTextUrlRule:333:http://www.research.att.com/~njas/sequences/A117538 --&gt;&lt;a class="wiki_link_ext" href="http://www.research.att.com/~njas/sequences/A117538" rel="nofollow"&gt;http://www.research.att.com/~njas/sequences/A117538&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:333 --&gt;. It is less successful with &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; (but still better than 12-et), as it eliminates the distinction between a septimal minor third (&lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;), and a septimal whole tone (&lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;).&lt;br /&gt;
However, for all of these 19-et has the practical advantage of requiring fewer pitches, which makes physical realizations of it easier to build. (Many 19-et instruments have been built.) 19-et is in fact the second equal temperament, after 12-et which is able to deal with &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;5-limit&lt;/a&gt; music in a tolerable manner, and is the fifth (after 12) Zeta function integral tuning, &lt;!-- ws:start:WikiTextUrlRule:350:http://www.research.att.com/~njas/sequences/A117538 --&gt;&lt;a class="wiki_link_ext" href="http://www.research.att.com/~njas/sequences/A117538" rel="nofollow"&gt;http://www.research.att.com/~njas/sequences/A117538&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:350 --&gt;. It is less successful with &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; (but still better than 12-et), as it eliminates the distinction between a septimal minor third (&lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;), and a septimal whole tone (&lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;).&lt;br /&gt;
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&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sonic-arts.org/darreg/case.htm" rel="nofollow"&gt;A Case For Nineteen&lt;/a&gt; by &lt;a class="wiki_link" href="/Ivor%20Darreg"&gt;Ivor Darreg&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xZzBtDGF" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://qcpages.qc.edu/~howe/articles/19-Tone%20Theory.html" rel="nofollow"&gt;19-Tone Theory and Applications&lt;/a&gt; by Hubert S. Howe Jr. &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xbMKVaqa" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/tet19/guitarchords19.html" rel="nofollow"&gt;Tunings for 19 Tone Equal Tempered Guitar&lt;/a&gt; by William A. Sethares &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xeCbEPZ0" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.n-ism.org/Projects/microtonalism.php" rel="nofollow"&gt;Microtonalism&lt;/a&gt; by Bailey, Morrison, Pearson and Parncutt &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xeDFQDvn" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow"&gt;19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://mtg.redkeylabs.com/index.php?topic=6.0" rel="nofollow"&gt;Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar&lt;/a&gt;.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/books.html" rel="nofollow"&gt;Enneadecaphonic Scales for Guitar&lt;/a&gt; by Ron Sword&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sonic-arts.org/darreg/case.htm" rel="nofollow"&gt;A Case For Nineteen&lt;/a&gt; by &lt;a class="wiki_link" href="/Ivor%20Darreg"&gt;Ivor Darreg&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xZzBtDGF" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html" rel="nofollow"&gt;19-Tone Theory and Applications&lt;/a&gt; by Hubert S. Howe Jr. &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xbMKVaqa" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/tet19/guitarchords19.html" rel="nofollow"&gt;Tunings for 19 Tone Equal Tempered Guitar&lt;/a&gt; by William A. Sethares &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xeCbEPZ0" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.n-ism.org/Projects/microtonalism.php" rel="nofollow"&gt;Microtonalism&lt;/a&gt; by Bailey, Morrison, Pearson and Parncutt &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xeDFQDvn" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow"&gt;19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://mtg.redkeylabs.com/index.php?topic=6.0" rel="nofollow"&gt;Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar&lt;/a&gt;.&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/books.html" rel="nofollow"&gt;Enneadecaphonic Scales for Guitar&lt;/a&gt; by Ron Sword&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Theory-References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;References&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Theory-References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;References&lt;/h2&gt;
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Bucht, Saku and Huovinen, Erkki, &lt;em&gt;Perceived consonance of harmonic intervals in 19-tone equal temperament&lt;/em&gt;, CIM04_proceedings.&lt;br /&gt;
Bucht, Saku and Huovinen, Erkki, &lt;em&gt;Perceived consonance of harmonic intervals in 19-tone equal temperament&lt;/em&gt;, CIM04_proceedings.&lt;br /&gt;
Levy, Kenneth J., &lt;em&gt;Costeley's Chromatic Chanson&lt;/em&gt;, Annales Musicologues:&lt;br /&gt;
Levy, Kenneth J., &lt;em&gt;Costeley's Chromatic Chanson&lt;/em&gt;, Annales Musicologues:&lt;br /&gt;
Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.&lt;br /&gt;
Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.&lt;br /&gt;
19 note per octave Ibanez conversion by Brad Smith (Indianapolis)&lt;br /&gt;
&lt;!-- ws:start:WikiTextRemoteImageRule:201:&amp;lt;img src=&amp;quot;http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 600px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" alt="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" title="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" style="height: 600px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:201 --&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Compositions&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Compositions&lt;/h1&gt;
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&lt;a class="wiki_link_ext" href="http://www.akjmusic.com/audio/juggler.mp3" rel="nofollow"&gt;The Juggler&lt;/a&gt; by Aaron Krister Johnson&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.akjmusic.com/audio/juggler.mp3" rel="nofollow"&gt;The Juggler&lt;/a&gt; by Aaron Krister Johnson&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/sand.html" rel="nofollow"&gt;Sand&lt;/a&gt; by Christopher Bailey&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/sand.html" rel="nofollow"&gt;Sand&lt;/a&gt; by Christopher Bailey&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://works.music.columbia.edu/%7Echris/19mix1.mp3" rel="nofollow"&gt;Walking Down the Hillside at Cortona, and Seeing its Towers Rise Before Me&lt;/a&gt; by Christopher Bailey&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://works.music.columbia.edu/%7Echris/19mix1.mp3" rel="nofollow"&gt;Walking Down the Hillside at Cortona, and Seeing its Towers Rise Before Me&lt;/a&gt; by Christopher Bailey&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.emcollective.org/chris/items/ditty/ditty_fast.mp3" rel="nofollow"&gt;Ditty&lt;/a&gt; by Christopher Bailey&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.emcollective.org/chris/items/ditty/ditty_fast.mp3" rel="nofollow"&gt;Ditty&lt;/a&gt; by Christopher Bailey&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/sympathetic.html" rel="nofollow"&gt;Sympathetic metaphor&lt;/a&gt; by William Sethares&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/sympathetic.html" rel="nofollow"&gt;Sympathetic metaphor&lt;/a&gt; by William Sethares&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/truthonabus.html" rel="nofollow"&gt;Truth on a bus&lt;/a&gt; by William Sethares&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/mp3s/truthonabus.html" rel="nofollow"&gt;Truth on a bus&lt;/a&gt; by William Sethares&lt;br /&gt;
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Fanfare in 19-note Equal Tuning by Easley Blackwood&lt;br /&gt;
Fanfare in 19-note Equal Tuning by Easley Blackwood&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/zvire.html" rel="nofollow"&gt;Zvíře&lt;/a&gt; by Milan Guštar&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/zvire.html" rel="nofollow"&gt;Zvíře&lt;/a&gt; by Milan Guštar&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/sections/music.html" rel="nofollow"&gt;19tet downloadable mp3s by ZIA, Elaine Walker and D.D.T.&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/sections/music.html" rel="nofollow"&gt;19tet downloadable mp3s by ZIA, Elaine Walker and D.D.T.&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=865" rel="nofollow" target="_blank"&gt;Forgetting Even Her Beauty blog&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20110516-19-forgetting_even_her_beauty.mp3" rel="nofollow"&gt;play&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=855" rel="nofollow" target="_blank"&gt;19 Black Hawks for Osama blog&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=gGO0R381HQs" rel="nofollow"&gt;play video&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=823" rel="nofollow" target="_blank"&gt;Summer Song blog&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20110501-19-summer_song_mix3.mp3" rel="nofollow"&gt;play&lt;/a&gt; by Trevor (The TwoRegs) and Norm Harris and Chris Vaisvil&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=820" rel="nofollow" target="_blank"&gt;19 ImprovFridays blog&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=-KaRXFoYwT4" rel="nofollow"&gt;play video of performance&lt;/a&gt; by Chris Vaisvil&lt;/body&gt;&lt;/html&gt;</pre></div>