77edo: Difference between revisions

Revision as of 18:34, 5 September 2012

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This revision was by author genewardsmith and made on 2012-09-05 18:34:33 UTC.

The original revision id was 362355474.

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=<span style="color: #000083; font-size: 103%;">77 tone Equal Temperament</span>= 

77-tET or 77-EDO divides the octave into 77 steps of size 15.5844 [[cent]]s each. With fifths less than a cent flat, major thirds a bit over three cents sharp and [[7_4|7/4s]] less flat than that, it represents an excellent tuning choice for both [[Starling temperaments#Valentine%20temperament|valentine]], the 31&46 temperament, and [[Starling temperaments|starling]], the 126/125 [[planar temperament]], giving the optimal patent val for 11-limit valentine and its 13-limit extensions dwynwen and valentino, as well as [[Starling family#x7-limit starling-11-limit|11-limit starling]] and [[Starling family#Oxpecker|oxpecker]] temperaments. It also gives the optimal patent val for various members of the [[unicorn family]], with a [[generator]] of 4\77 instead of the 5\77 which gives valentine. These are 7-limit [[Unicorn family#Alicorn|alicorn]] and 11- and 13-limit camahueto.

77et tempers out 32805/32768 in the [[5-limit]], 126/125, 1029/1024 and 6144/6125 in the [[7-limit]], 121/120, 176/175, 385/384 and 441/440 in the [[11-limit]], and 196/195, 351/350, 352/351, 676/675 and 729/728 in the [[13-limit]].

=Music=

[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3|Star 1-GrimaldiA+Bmod]] by [[Joel Grant Taylor]]
[[http://micro.soonlabel.com/star/20120830-77et-star.mp3|77et Star]] by [[Chris Vaisvil]]

Original HTML content:

<html><head><title>77edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x77 tone Equal Temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #000083; font-size: 103%;">77 tone Equal Temperament</span></h1>
 <br />
77-tET or 77-EDO divides the octave into 77 steps of size 15.5844 <a class="wiki_link" href="/cent">cent</a>s each. With fifths less than a cent flat, major thirds a bit over three cents sharp and <a class="wiki_link" href="/7_4">7/4s</a> less flat than that, it represents an excellent tuning choice for both <a class="wiki_link" href="/Starling%20temperaments#Valentine%20temperament">valentine</a>, the 31&amp;46 temperament, and <a class="wiki_link" href="/Starling%20temperaments">starling</a>, the 126/125 <a class="wiki_link" href="/planar%20temperament">planar temperament</a>, giving the optimal patent val for 11-limit valentine and its 13-limit extensions dwynwen and valentino, as well as <a class="wiki_link" href="/Starling%20family#x7-limit starling-11-limit">11-limit starling</a> and <a class="wiki_link" href="/Starling%20family#Oxpecker">oxpecker</a> temperaments. It also gives the optimal patent val for various members of the <a class="wiki_link" href="/unicorn%20family">unicorn family</a>, with a <a class="wiki_link" href="/generator">generator</a> of 4\77 instead of the 5\77 which gives valentine. These are 7-limit <a class="wiki_link" href="/Unicorn%20family#Alicorn">alicorn</a> and 11- and 13-limit camahueto.<br />
<br />
77et tempers out 32805/32768 in the <a class="wiki_link" href="/5-limit">5-limit</a>, 126/125, 1029/1024 and 6144/6125 in the <a class="wiki_link" href="/7-limit">7-limit</a>, 121/120, 176/175, 385/384 and 441/440 in the <a class="wiki_link" href="/11-limit">11-limit</a>, and 196/195, 351/350, 352/351, 676/675 and 729/728 in the <a class="wiki_link" href="/13-limit">13-limit</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music</h1>
<br />
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3" rel="nofollow">Star 1-GrimaldiA+Bmod</a> by <a class="wiki_link" href="/Joel%20Grant%20Taylor">Joel Grant Taylor</a><br />
<a class="wiki_link_ext" href="http://micro.soonlabel.com/star/20120830-77et-star.mp3" rel="nofollow">77et Star</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></body></html>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2012-09-05 18:34:07 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-09-05 18:34:33 UTC</tt>.<br>
-: The original revision id was <tt>362355398</tt>.<br>
+: The original revision id was <tt>362355474</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>
@@ Line 15: / Line 15: @@
 [[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3|Star 1-GrimaldiA+Bmod]] by [[Joel Grant Taylor]]
-[[http://micro.soonlabel.com/star/20120830-77et-star.mp3|77et Star]]</pre></div>
+[[http://micro.soonlabel.com/star/20120830-77et-star.mp3|77et Star]] by [[Chris Vaisvil]]</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;77edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x77 tone Equal Temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #000083; font-size: 103%;"&gt;77 tone Equal Temperament&lt;/span&gt;&lt;/h1&gt;
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 &lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3" rel="nofollow"&gt;Star 1-GrimaldiA+Bmod&lt;/a&gt; by &lt;a class="wiki_link" href="/Joel%20Grant%20Taylor"&gt;Joel Grant Taylor&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/star/20120830-77et-star.mp3" rel="nofollow"&gt;77et Star&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/star/20120830-77et-star.mp3" rel="nofollow"&gt;77et Star&lt;/a&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

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