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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The ''665 equal temperament'' divides the octave into 665 equal parts of 1.80451 cents each. It is best known for its extremely accurate fifth, only 0.0001 cents flat. 665edo is the denominator of a convergent to log2(3), after [[41edo|41edo]], [[53edo|53edo]] and [[306edo|306edo]], and before [[15601edo|15601edo]]. However, it also provides the [[Optimal_patent_val|optimal patent val]] for the rank four temperament tempering out 4000/3993. In the 3-limit it tempers out the 'satanic' comma, |-1054 665>; in the 5-limit the enneadeca, |-14 -19 19> and the monzisma, |54 -37 2>; in the 7-limit, 4375/4374 and the meter, | -11 2 7 -3 >; in the 11-limit, 4000/3993 and | 17 -5 0 -2 -1 > and | -1 2 -4 5 -2 >, providing the optimal patent val for 11-limit [[Ragismic_microtemperaments#Brahmagupta|brahmagupta temperament]]. In the 13-limit it tempers out 1575/1573, 2080/2079, 4096/4095 and 4225/4224; since it tempers out 1575/1573, the nicola, it supports nicolic tempering and hence the [[nicolic_tetrad|nicolic tetrad]], for which it provides an excellent tuning. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | [[Category:satanic]] |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-08 14:32:17 UTC</tt>.<br>
| | [[Category:wizardharry]] |
| : The original revision id was <tt>601731906</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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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;white-space: pre-wrap ! important" class="old-revision-html">The //665 equal temperament// divides the octave into 665 equal parts of 1.80451 cents each. It is best known for its extremely accurate fifth, only 0.0001 cents flat. 665edo is the denominator of a convergent to log2(3), after [[41edo]], [[53edo]] and [[306edo]], and before [[15601edo]]. However, it also provides the [[optimal patent val]] for the rank four temperament tempering out 4000/3993. In the 3-limit it tempers out the 'satanic' comma, |-1054 665>; in the 5-limit the enneadeca, |-14 -19 19> and the monzisma, |54 -37 2>; in the 7-limit, 4375/4374 and the meter, | -11 2 7 -3 >; in the 11-limit, 4000/3993 and | 17 -5 0 -2 -1 > and | -1 2 -4 5 -2 >, providing the optimal patent val for 11-limit [[Ragismic microtemperaments#Brahmagupta|brahmagupta temperament]]. In the 13-limit it tempers out 1575/1573, 2080/2079, 4096/4095 and 4225/4224; since it tempers out 1575/1573, the nicola, it supports nicolic tempering and hence the [[nicolic tetrad]], for which it provides an excellent tuning.</pre></div>
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| <h4>Original HTML content:</h4>
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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"><html><head><title>665edo</title></head><body>The <em>665 equal temperament</em> divides the octave into 665 equal parts of 1.80451 cents each. It is best known for its extremely accurate fifth, only 0.0001 cents flat. 665edo is the denominator of a convergent to log2(3), after <a class="wiki_link" href="/41edo">41edo</a>, <a class="wiki_link" href="/53edo">53edo</a> and <a class="wiki_link" href="/306edo">306edo</a>, and before <a class="wiki_link" href="/15601edo">15601edo</a>. However, it also provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank four temperament tempering out 4000/3993. In the 3-limit it tempers out the 'satanic' comma, |-1054 665&gt;; in the 5-limit the enneadeca, |-14 -19 19&gt; and the monzisma, |54 -37 2&gt;; in the 7-limit, 4375/4374 and the meter, | -11 2 7 -3 &gt;; in the 11-limit, 4000/3993 and | 17 -5 0 -2 -1 &gt; and | -1 2 -4 5 -2 &gt;, providing the optimal patent val for 11-limit <a class="wiki_link" href="/Ragismic%20microtemperaments#Brahmagupta">brahmagupta temperament</a>. In the 13-limit it tempers out 1575/1573, 2080/2079, 4096/4095 and 4225/4224; since it tempers out 1575/1573, the nicola, it supports nicolic tempering and hence the <a class="wiki_link" href="/nicolic%20tetrad">nicolic tetrad</a>, for which it provides an excellent tuning.</body></html></pre></div>
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