77edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 362355474 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 437654652 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-09-05 18:34:33 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-06-11 18:04:45 UTC</tt>.<br>
: The original revision id was <tt>362355474</tt>.<br>
: The original revision id was <tt>437654652</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">=&lt;span style="color: #000083; font-size: 103%;"&gt;77 tone Equal Temperament&lt;/span&gt;=  
<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-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;77 tone Equal Temperament&lt;/span&gt;=  


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&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, 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.
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&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, as well as [[Starling family#x7-limit%20starling-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]].
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=
=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/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]]</pre></div>
//[[http://micro.soonlabel.com/star/20120830-77et-star.mp3|77et Star]]// by [[Chris Vaisvil]]</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">&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;
<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-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;77 tone Equal Temperament&lt;/span&gt;&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
77-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, as well as &lt;a class="wiki_link" href="/Starling%20family#x7-limit starling-11-limit"&gt;11-limit starling&lt;/a&gt; and &lt;a class="wiki_link" href="/Starling%20family#Oxpecker"&gt;oxpecker&lt;/a&gt; temperaments. 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;
77-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, as well as &lt;a class="wiki_link" href="/Starling%20family#x7-limit%20starling-11-limit"&gt;11-limit starling&lt;/a&gt; and &lt;a class="wiki_link" href="/Starling%20family#Oxpecker"&gt;oxpecker&lt;/a&gt; temperaments. 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;
&lt;br /&gt;
77et 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;br /&gt;
77et 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;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Music&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Music&lt;/h1&gt;
&lt;br /&gt;
&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;em&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;&lt;/em&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; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;em&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;/em&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>