296edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''296 equal temperament'' divides the octave into 296 equal parts of 4.054 cents each. In the 5-limit, it not only tempers out the semicomma of 5-limit orwell (orson) temperament, 2109375/2097152, it also provides its [[Optimal_patent_val|optimal patent val]], and tempers out the minortone comma, |-16 35 -17&gt;. It is also an interesting temperament in higher limits, being distinctly consistent through to the 15-limit. In the 7-limit it tempers out 4375/4374 and 16875/16807, supporting 7-limit [[Ragismic_microtemperaments#Octoid|octoid temperament]]. In the 11-limit, it tempers out 1375/1372, 6250/6237, 540/539, 4000/3993 and 3205/3024, and in the 13-limit 625/624, 729/728, 1575/1573, 1716/1715, 2080/2079, so that it also supports the 11- and 13-limit versions of octoid.
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>2011-07-05 02:08:23 UTC</tt>.<br>
: The original revision id was <tt>240005561</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>
<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">The //296 equal temperament// divides the octave into 296 equal parts of 4.054 cents each. In the 5-limit, it not only tempers out the semicomma of 5-limit orwell (orson) temperament, 2109375/2097152, it also provides its [[optimal patent val]], and tempers out the minortone comma, |-16 35 -17&gt;. It is also an interesting temperament in higher limits, being distinctly consistent through to the 15-limit. In the 7-limit it tempers out 4375/4374 and 16875/16807, supporting 7-limit [[Ragismic microtemperaments#Octoid|octoid temperament]]. In the 11-limit, it tempers out 1375/1372, 6250/6237, 540/539, 4000/3993 and 3205/3024, and in the 13-limit 625/624, 729/728, 1575/1573, 1716/1715, 2080/2079, so that it also supports the 11- and 13-limit versions of octoid.


296 is divisible by 2, 4, 8, 37, 74 and 148.</pre></div>
296 is divisible by 2, 4, 8, 37, 74 and 148.
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;296edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;296 equal temperament&lt;/em&gt; divides the octave into 296 equal parts of 4.054 cents each. In the 5-limit, it not only tempers out the semicomma of 5-limit orwell (orson) temperament, 2109375/2097152, it also provides its &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt;, and tempers out the minortone comma, |-16 35 -17&amp;gt;. It is also an interesting temperament in higher limits, being distinctly consistent through to the 15-limit. In the 7-limit it tempers out 4375/4374 and 16875/16807, supporting 7-limit &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Octoid"&gt;octoid temperament&lt;/a&gt;. In the 11-limit, it tempers out 1375/1372, 6250/6237, 540/539, 4000/3993 and 3205/3024, and in the 13-limit 625/624, 729/728, 1575/1573, 1716/1715, 2080/2079, so that it also supports the 11- and 13-limit versions of octoid.&lt;br /&gt;
&lt;br /&gt;
296 is divisible by 2, 4, 8, 37, 74 and 148.&lt;/body&gt;&lt;/html&gt;</pre></div>