96edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 235890936 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 235891138 - 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>2011-06-10 23: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-10 23:37:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>235891138</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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96 equal divisions of the octave was first used by the Mexican composer and theorist [[http://en.wikipedia.org/wiki/Juli%C3%A1n_Carrillo|Julián Carrillo]]. It has subsequently been used by a number of other composers. | 96 equal divisions of the octave was first used by the Mexican composer and theorist [[http://en.wikipedia.org/wiki/Juli%C3%A1n_Carrillo|Julián Carrillo]]. It has subsequently been used by a number of other composers. | ||
=Links=[[http://paginas.tol.itesm.mx/campus/L00280370/carrillo.html|Julian Carrillo and the 13th Sound a microtonal musical system]] | =Links= | ||
[[http://paginas.tol.itesm.mx/campus/L00280370/carrillo.html|Julian Carrillo and the 13th Sound a microtonal musical system]] | |||
English & Spanish, by Ernesto Solís Winkler. | English & Spanish, by Ernesto Solís Winkler. | ||
[[http://brahms.ircam.fr/textes/c00000454/|Julián Carrillo]] (Centre George Pompidou) - French | [[http://brahms.ircam.fr/textes/c00000454/|Julián Carrillo]] (Centre George Pompidou) - French | ||
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[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3|Cromometrofonía #1]] by [[Julián Carrillo]]</pre></div> | [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Carrillo/Cromometrofon%eda%20%231.mp3|Cromometrofonía #1]] by [[Julián Carrillo]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>96edo</title></head><body><!-- ws:start:WikiTextTocRule: | <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>96edo</title></head><body><!-- ws:start:WikiTextTocRule:8:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | <a href="#History">History</a><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:13 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1> | ||
The 96 equal division divides the octave into 96 equal parts of exactly 12.5 cents each. As a <a class="wiki_link" href="/5-limit">5-limit</a> system, it can be characterized by the fact that it tempers out both the Pythagorean comma, 531441/524288, and Wuerschmidt's comma, 393216/390625. It therefore has the same familiar 700 cent fifth as <a class="wiki_link" href="/12edo">12edo</a>, and has a best major third of 387.5 cents, a bit over a cent sharp. There is therefore nothing to complain of with its representation of the 5-limit and it can be recommended as an approach to the <a class="wiki_link" href="/Wuerschmidt%20family">Wuerschmidt family</a> of temperaments.<br /> | The 96 equal division divides the octave into 96 equal parts of exactly 12.5 cents each. As a <a class="wiki_link" href="/5-limit">5-limit</a> system, it can be characterized by the fact that it tempers out both the Pythagorean comma, 531441/524288, and Wuerschmidt's comma, 393216/390625. It therefore has the same familiar 700 cent fifth as <a class="wiki_link" href="/12edo">12edo</a>, and has a best major third of 387.5 cents, a bit over a cent sharp. There is therefore nothing to complain of with its representation of the 5-limit and it can be recommended as an approach to the <a class="wiki_link" href="/Wuerschmidt%20family">Wuerschmidt family</a> of temperaments.<br /> | ||
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96 equal divisions of the octave was first used by the Mexican composer and theorist <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Juli%C3%A1n_Carrillo" rel="nofollow">Julián Carrillo</a>. It has subsequently been used by a number of other composers.<br /> | 96 equal divisions of the octave was first used by the Mexican composer and theorist <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Juli%C3%A1n_Carrillo" rel="nofollow">Julián Carrillo</a>. It has subsequently been used by a number of other composers.<br /> | ||
<br /> | <br /> | ||
=Links | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:4 -->Links</h1> | ||
<br /> | |||
<a class="wiki_link_ext" href="http://paginas.tol.itesm.mx/campus/L00280370/carrillo.html" rel="nofollow">Julian Carrillo and the 13th Sound a microtonal musical system</a><br /> | |||
English &amp; Spanish, by Ernesto Solís Winkler.<br /> | English &amp; Spanish, by Ernesto Solís Winkler.<br /> | ||
<a class="wiki_link_ext" href="http://brahms.ircam.fr/textes/c00000454/" rel="nofollow">Julián Carrillo</a> (Centre George Pompidou) - French <br /> | <a class="wiki_link_ext" href="http://brahms.ircam.fr/textes/c00000454/" rel="nofollow">Julián Carrillo</a> (Centre George Pompidou) - French <br /> | ||
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<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Georg Friedrich Haas</a>, &quot;flow and friction&quot;<br /> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Friedrich_Haas" rel="nofollow">Georg Friedrich Haas</a>, &quot;flow and friction&quot;<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:6 -->Music</h1> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/4gahforbrass-880821.mp3" rel="nofollow">4gah for brass</a> by <a class="wiki_link" href="/Shahiin%20Mohajeri">Shahiin Mohajeri</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/4gahforbrass-880821.mp3" rel="nofollow">4gah for brass</a> by <a class="wiki_link" href="/Shahiin%20Mohajeri">Shahiin Mohajeri</a><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Endless%20life.mp3" rel="nofollow">Endless life</a> by Shahiin Mohajeri<br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Endless%20life.mp3" rel="nofollow">Endless life</a> by Shahiin Mohajeri<br /> | ||