284edo: Difference between revisions

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**Imported revision 402093166 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''284 equal division'' divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[Kleismic_family|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[Optimal_patent_val|optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[Breed_family#Agni|agni]] and [[Kleismic_rank_three_family#Enlil|enlil]] and keenanismic, the 385/384 rank four temperament.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
[[Category:edo]]
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-01-28 13:53:34 UTC</tt>.<br>
[[Category:nano]]
: The original revision id was <tt>402093166</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 //284 equal division// divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[Kleismic family|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[Breed family#Agni|agni]] and [[Kleismic rank three family#Enlil|enlil]] and keenanismic, the 385/384 rank four temperament.</pre></div>
<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;284edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;284 equal division&lt;/em&gt; divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for &lt;a class="wiki_link" href="/Kleismic%20family"&gt;quadritikleismic temperament&lt;/a&gt; which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt;. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments &lt;a class="wiki_link" href="/Breed%20family#Agni"&gt;agni&lt;/a&gt; and &lt;a class="wiki_link" href="/Kleismic%20rank%20three%20family#Enlil"&gt;enlil&lt;/a&gt; and keenanismic, the 385/384 rank four temperament.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 284 equal division divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for quadritikleismic temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the optimal patent val. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments agni and enlil and keenanismic, the 385/384 rank four temperament.