294edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 267720748 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 408213556 - 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>2011-10-23 20:07:34 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-02-19 13:46:50 UTC</tt>.<br>
: The original revision id was <tt>267720748</tt>.<br>
: The original revision id was <tt>408213556</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">The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament|valentine temperament]].
<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 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, anmd also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament|valentine temperament]].


294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</pre></div>
294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;294edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2&amp;gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Trimyna%20family"&gt;trymyna temperament&lt;/a&gt; tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting &lt;a class="wiki_link" href="/Mirkwai%20clan#Mirkat"&gt;mirkat temperament&lt;/a&gt;, whereas 294c tempers out 126/125 and 1029/1024, supporting &lt;a class="wiki_link" href="/Starling%20temperaments#Valentine temperament"&gt;valentine temperament&lt;/a&gt;.&lt;br /&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;294edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2&amp;gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Trimyna%20family"&gt;trymyna temperament&lt;/a&gt; tempering out the trymyna, as well as its 11-limit extension, anmd also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting &lt;a class="wiki_link" href="/Mirkwai%20clan#Mirkat"&gt;mirkat temperament&lt;/a&gt;, whereas 294c tempers out 126/125 and 1029/1024, supporting &lt;a class="wiki_link" href="/Starling%20temperaments#Valentine temperament"&gt;valentine temperament&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.&lt;/body&gt;&lt;/html&gt;</pre></div>
294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.&lt;/body&gt;&lt;/html&gt;</pre></div>