75edo: Difference between revisions

Wikispaces>Osmiorisbendi
**Imported revision 437654456 - Original comment: **
Wikispaces>bootmii
**Imported revision 602769034 - Original comment: Y'all need to explain what 12&51 temperament is.**
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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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-06-11 18:03:33 UTC</tt>.<br>
: This revision was by author [[User:bootmii|bootmii]] and made on <tt>2016-12-22 19:22:12 UTC</tt>.<br>
: The original revision id was <tt>437654456</tt>.<br>
: The original revision id was <tt>602769034</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Y'all need to explain what 12&51 temperament is.</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">=&lt;span style="color: #000080; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;75 tone equal temperament&lt;/span&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;white-space: pre-wrap ! important" class="old-revision-html">=&lt;span style="color: #000080; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;75 tone equal temperament&lt;/span&gt;=  


75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for [[Tetracot family|tetracot temperament]]. It provides the optimal patent val for 12&amp;51 temperament in the 7-limit and the 31&amp;75 temperament in the 13-limit.
75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for [[Tetracot family|tetracot temperament]]. It provides the optimal patent val for &lt;span class="wiki_link"&gt;[[M&amp;N temperaments|12&amp;51]]&lt;/span&gt;[[M&amp;N temperaments| temperament]] in the 7-limit and the [[M&amp;N temperaments|31&amp;75 temperament]] in the 13-limit.


===Intervals===  
===Intervals===  
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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;75edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x75 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #000080; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;75 tone equal temperament&lt;/span&gt;&lt;/h1&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;75edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x75 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #000080; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;75 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
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75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot temperament&lt;/a&gt;. It provides the optimal patent val for 12&amp;amp;51 temperament in the 7-limit and the 31&amp;amp;75 temperament in the 13-limit.&lt;br /&gt;
75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot temperament&lt;/a&gt;. It provides the optimal patent val for &lt;span class="wiki_link"&gt;&lt;a class="wiki_link" href="/M%26N%20temperaments"&gt;12&amp;amp;51&lt;/a&gt;&lt;/span&gt;&lt;a class="wiki_link" href="/M%26N%20temperaments"&gt; temperament&lt;/a&gt; in the 7-limit and the &lt;a class="wiki_link" href="/M%26N%20temperaments"&gt;31&amp;amp;75 temperament&lt;/a&gt; in the 13-limit.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x75 tone equal temperament--Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x75 tone equal temperament--Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h3&gt;