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Wikispaces>JosephRuhf **Imported revision 601731736 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601731906 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-08 14: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-08 14:32:17 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>601731906</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 //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, | <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> | ||
<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"><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, | <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> | ||
Revision as of 14:32, 8 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-12-08 14:32:17 UTC.
- The original revision id was 601731906.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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.
Original HTML content:
<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>; 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 <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>