77edo: Difference between revisions

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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>2012-08-~~29 12~~:05:42 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-30 10:34:15 UTC</tt>.<br>

: The original revision id was <tt>~~360723840~~</tt>.<br>

: The original revision id was <tt>360982572</tt>.<br>

: The revision comment was: <tt></tt><br>

: The revision comment was: <tt>some links added</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">=<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 7/4s less flat than that, it represents an excellent tuning choice for both [[Starling temperaments#Valentine ~~temperament~~|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. 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.

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. 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.</pre></div>

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]].</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"><html><head><title>77edo</title></head><body><h1 id="toc0"><a name="x77 tone Equal Temperament"></a><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 7/4s less flat than that, it represents an excellent tuning choice for both <a class="wiki_link" href="/Starling%20temperaments#Valentine ~~temperament~~">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. 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 />

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. 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 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.</body></html></pre></div>

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>.</body></html></pre></div>

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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>2012-08-29 12:05:42 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-30 10:34:15 UTC</tt>.<br>
-: The original revision id was <tt>360723840</tt>.<br>
+: The original revision id was <tt>360982572</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>some links added</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">=&lt;span style="color: #000083; font-size: 103%;"&gt;77 tone Equal Temperament&lt;/span&gt;=
--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 7/4s less flat than that, it represents an excellent tuning choice for both [[Starling temperaments#Valentine temperament|valentine]], the 31&amp;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. 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.
+-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&amp;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. 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.
-et 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.</pre></div>
+et 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]].</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;
   &lt;br /&gt;
--tET or 77-EDO divides the octave into 77 steps of size 15.5844 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. With fifths less than a cent flat, major thirds a bit over three cents sharp and 7/4s less flat than that, it represents an excellent tuning choice for both &lt;a class="wiki_link" href="/Starling%20temperaments#Valentine temperament"&gt;valentine&lt;/a&gt;, the 31&amp;amp;46 temperament, and &lt;a class="wiki_link" href="/Starling%20temperaments"&gt;starling&lt;/a&gt;, the 126/125 &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt;, giving the optimal patent val for 11-limit valentine and its 13-limit extensions dwynwen and valentino. It also gives the optimal patent val for various members of the &lt;a class="wiki_link" href="/unicorn%20family"&gt;unicorn family&lt;/a&gt;, with a &lt;a class="wiki_link" href="/generator"&gt;generator&lt;/a&gt; of 4\77 instead of the 5\77 which gives valentine. These are 7-limit &lt;a class="wiki_link" href="/Unicorn%20family#Alicorn"&gt;alicorn&lt;/a&gt; and 11- and 13-limit camahueto. &lt;br /&gt;
+-tET or 77-EDO divides the octave into 77 steps of size 15.5844 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. With fifths less than a cent flat, major thirds a bit over three cents sharp and &lt;a class="wiki_link" href="/7_4"&gt;7/4s&lt;/a&gt; less flat than that, it represents an excellent tuning choice for both &lt;a class="wiki_link" href="/Starling%20temperaments#Valentine%20temperament"&gt;valentine&lt;/a&gt;, the 31&amp;amp;46 temperament, and &lt;a class="wiki_link" href="/Starling%20temperaments"&gt;starling&lt;/a&gt;, the 126/125 &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt;, giving the optimal patent val for 11-limit valentine and its 13-limit extensions dwynwen and valentino. It also gives the optimal patent val for various members of the &lt;a class="wiki_link" href="/unicorn%20family"&gt;unicorn family&lt;/a&gt;, with a &lt;a class="wiki_link" href="/generator"&gt;generator&lt;/a&gt; of 4\77 instead of the 5\77 which gives valentine. These are 7-limit &lt;a class="wiki_link" href="/Unicorn%20family#Alicorn"&gt;alicorn&lt;/a&gt; and 11- and 13-limit camahueto.&lt;br /&gt;
 &lt;br /&gt;
-et 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.&lt;/body&gt;&lt;/html&gt;</pre></div>
+et tempers out 32805/32768 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;, 126/125, 1029/1024 and 6144/6125 in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, 121/120, 176/175, 385/384 and 441/440 in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;, and 196/195, 351/350, 352/351, 676/675 and 729/728 in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>