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>2011-10-05 17:15:36 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-05 17:47:45 UTC</tt>.<br>

: The original revision id was <tt>~~261924448~~</tt>.<br>

: The original revision id was <tt>261934200</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>

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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">=<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]]. It also represents an excellent tuning choice for ~~the 19&58 temperament with~~ [[~~Wedgies and Multivals~~|~~wedgie~~]] ~~<<8 13 23 2 14 17||~~ with a [[generator]] of 4\77 instead of the 5\77 which gives valentine.

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]]. It also represents an excellent tuning choice for [[Starling temperaments#Unicorn|unicorn temperament]] with a [[generator]] of 4\77 instead of the 5\77 which gives valentine.

77 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>

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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>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>. It also represents an excellent tuning choice for ~~the 19&amp;58 temperament with~~ <a class="wiki_link" href="/~~Wedgies~~%~~20and%20Multivals~~">~~wedgie~~</a> ~~&lt;&lt;8 13 23 2 14 17||~~ with a <a class="wiki_link" href="/generator">generator</a> of 4\77 instead of the 5\77 which gives valentine.<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>. It also represents an excellent tuning choice for <a class="wiki_link" href="/Starling%20temperaments#Unicorn">unicorn temperament</a> with a <a class="wiki_link" href="/generator">generator</a> of 4\77 instead of the 5\77 which gives valentine.<br />

<br />

77 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>

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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>2011-10-05 17:15:36 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-05 17:47:45 UTC</tt>.<br>
-: The original revision id was <tt>261924448</tt>.<br>
+: The original revision id was <tt>261934200</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 8: / Line 8: @@
 <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]]. It also represents an excellent tuning choice for the 19&amp;58 temperament with [[Wedgies and Multivals|wedgie]] &lt;&lt;8 13 23 2 14 17|| with a [[generator]] of 4\77 instead of the 5\77 which gives valentine.
+-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]]. It also represents an excellent tuning choice for [[Starling temperaments#Unicorn|unicorn temperament]] with a [[generator]] of 4\77 instead of the 5\77 which gives valentine.
 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>
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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">&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;. It also represents an excellent tuning choice for the 19&amp;amp;58 temperament with &lt;a class="wiki_link" href="/Wedgies%20and%20Multivals"&gt;wedgie&lt;/a&gt; &amp;lt;&amp;lt;8 13 23 2 14 17|| 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.&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;. It also represents an excellent tuning choice for &lt;a class="wiki_link" href="/Starling%20temperaments#Unicorn"&gt;unicorn temperament&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.&lt;br /&gt;
 &lt;br /&gt;
 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>