72edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 219772738 - Original comment: **
Wikispaces>hstraub
**Imported revision 219777034 - Original comment: Link to Rick Tagawa's site fixed**
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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>2011-04-13 02:20:12 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-04-13 02:58:05 UTC</tt>.<br>
: The original revision id was <tt>219772738</tt>.<br>
: The original revision id was <tt>219777034</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Link to Rick Tagawa's site fixed</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>
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|| ...in cents: ||  || 200.0 ||  || 183.3 ||  || 166.7 ||  || 150.0 ||  || 133.3 ||  || 133.3 ||  || 116.7 ||  || 116.7 ||  ||
|| ...in cents: ||  || 200.0 ||  || 183.3 ||  || 166.7 ||  || 150.0 ||  || 133.3 ||  || 133.3 ||  || 116.7 ||  || 116.7 ||  ||


=Z function=
=Z function=  
The maximum value of the [[Z function]] in the region near 72 occurs at 71.9506, giving an octave of 1200.824 cents, the stretched octaves of the zeta tuning. Below is a plot of Z in the region around 72.
The maximum value of the [[Z function]] in the region near 72 occurs at 71.9506, giving an octave of 1200.824 cents, the stretched octaves of the zeta tuning. Below is a plot of Z in the region around 72.


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* [[http://en.wikipedia.org/wiki/Joe_Maneri|Wikipedia article on Joe Maneri (1927-2009)]]
* [[http://en.wikipedia.org/wiki/Joe_Maneri|Wikipedia article on Joe Maneri (1927-2009)]]
* [[http://members.aon.at/ekmelischemusik/|Gesellschaft für Ekmelische Musik]], a group of composers and researchers dedicated to 72edo music
* [[http://members.aon.at/ekmelischemusik/|Gesellschaft für Ekmelische Musik]], a group of composers and researchers dedicated to 72edo music
* [[http://www.72note.com/|Rick Tagawa's 72edo site]], including theory and composers' list
* [[http://sonic-arts.org/tagawa/72edo.htm|Rick Tagawa's 72edo site]], including theory and composers' list
* [[http://dannywier.ucoz.com|Danny Wier, composer and musician who specializes in 72-edo]]</pre></div>
* [[http://dannywier.ucoz.com|Danny Wier, composer and musician who specializes in 72-edo]]</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Z function"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Z function&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Z function"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Z function&lt;/h1&gt;
The maximum value of the &lt;a class="wiki_link" href="/Z%20function"&gt;Z function&lt;/a&gt; in the region near 72 occurs at 71.9506, giving an octave of 1200.824 cents, the stretched octaves of the zeta tuning. Below is a plot of Z in the region around 72.&lt;br /&gt;
The maximum value of the &lt;a class="wiki_link" href="/Z%20function"&gt;Z function&lt;/a&gt; in the region near 72 occurs at 71.9506, giving an octave of 1200.824 cents, the stretched octaves of the zeta tuning. Below is a plot of Z in the region around 72.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:373:&amp;lt;img src=&amp;quot;/file/view/plot72.png/219772696/plot72.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/plot72.png/219772696/plot72.png" alt="plot72.png" title="plot72.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:373 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:373:&amp;lt;img src=&amp;quot;/file/view/plot72.png/219772696/plot72.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/plot72.png/219772696/plot72.png" alt="plot72.png" title="plot72.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:373 --&gt;&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="External links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;External links&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="External links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;External links&lt;/h1&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow"&gt;Wikipedia article on 72edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow"&gt;OrthodoxWiki Article on Byzantine chant, which uses 72edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Joe_Maneri" rel="nofollow"&gt;Wikipedia article on Joe Maneri (1927-2009)&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://members.aon.at/ekmelischemusik/" rel="nofollow"&gt;Gesellschaft für Ekmelische Musik&lt;/a&gt;, a group of composers and researchers dedicated to 72edo music&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.72note.com/" rel="nofollow"&gt;Rick Tagawa's 72edo site&lt;/a&gt;, including theory and composers' list&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://dannywier.ucoz.com" rel="nofollow"&gt;Danny Wier, composer and musician who specializes in 72-edo&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow"&gt;Wikipedia article on 72edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/72_tone_equal_temperament" rel="nofollow"&gt;OrthodoxWiki Article on Byzantine chant, which uses 72edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Joe_Maneri" rel="nofollow"&gt;Wikipedia article on Joe Maneri (1927-2009)&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://members.aon.at/ekmelischemusik/" rel="nofollow"&gt;Gesellschaft für Ekmelische Musik&lt;/a&gt;, a group of composers and researchers dedicated to 72edo music&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://sonic-arts.org/tagawa/72edo.htm" rel="nofollow"&gt;Rick Tagawa's 72edo site&lt;/a&gt;, including theory and composers' list&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://dannywier.ucoz.com" rel="nofollow"&gt;Danny Wier, composer and musician who specializes in 72-edo&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>