94edo: Difference between revisions

Wikispaces>xenwolf
**Imported revision 214058154 - Original comment: **
Wikispaces>hstraub
**Imported revision 238144127 - 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:xenwolf|xenwolf]] and made on <tt>2011-03-25 15:06:13 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-06-22 07:19:23 UTC</tt>.<br>
: The original revision id was <tt>214058154</tt>.<br>
: The original revision id was <tt>238144127</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 94 equal temperament, often abbreviated 94-tET, 94-[[EDO]], or 94-ET, is the scale derived by dividing the [[octave]] into 94 equally-sized steps, where each step represents a frequency ratio of 12.766 [[cent]]s. It is a remarkable all-around utility temperament, good from low prime limit to very high prime limit situations. It is the first equal temperament to be consistent though the [[23-limit]], and no other equal temperament is so consistent until 282 and 311 make their appearance.  
<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 94 equal temperament, often abbreviated 94-tET, 94-[[EDO]], or 94-ET, is the scale derived by dividing the [[octave]] into 94 equally-sized steps, where each step represents a frequency ratio of 12.766 [[cent]]s. It is a remarkable all-around utility temperament, good from low prime limit to very high prime limit situations. It is the first equal temperament to be consistent though the [[23-limit]], and no other equal temperament is so consistent until 282 and 311 make their appearance.


The list of 23-limit commas it tempers out is huge, but it's worth noting that it tempers out 32805/32768 and is thus a schismatic system, that it tempers out 225/224 and 385/384 and so is a marvel system, and that it also tempers out 3125/3087, 4000/3969, 5120/5103 and 540/539.
The list of 23-limit commas it tempers out is huge, but it's worth noting that it tempers out 32805/32768 and is thus a schismatic system, that it tempers out 225/224 and 385/384 and so is a marvel system, and that it also tempers out 3125/3087, 4000/3969, 5120/5103 and 540/539.
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311&amp;94 &lt;&lt;3 70 -42 69 -34 50 85 83...||
311&amp;94 &lt;&lt;3 70 -42 69 -34 50 85 83...||
422&amp;94 &lt;&lt;8 124 -18 90 -28 102 164 96 ... ||
422&amp;94 &lt;&lt;8 124 -18 90 -28 102 164 96 ... ||
</pre></div>
 
=Scales=
 
[[garibaldi12]]
[[garibaldi17]]</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;94edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 94 equal temperament, often abbreviated 94-tET, 94-&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;, or 94-ET, is the scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 94 equally-sized steps, where each step represents a frequency ratio of 12.766 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. It is a remarkable all-around utility temperament, good from low prime limit to very high prime limit situations. It is the first equal temperament to be consistent though the &lt;a class="wiki_link" href="/23-limit"&gt;23-limit&lt;/a&gt;, and no other equal temperament is so consistent until 282 and 311 make their appearance. &lt;br /&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;94edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 94 equal temperament, often abbreviated 94-tET, 94-&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;, or 94-ET, is the scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 94 equally-sized steps, where each step represents a frequency ratio of 12.766 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. It is a remarkable all-around utility temperament, good from low prime limit to very high prime limit situations. It is the first equal temperament to be consistent though the &lt;a class="wiki_link" href="/23-limit"&gt;23-limit&lt;/a&gt;, and no other equal temperament is so consistent until 282 and 311 make their appearance.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The list of 23-limit commas it tempers out is huge, but it's worth noting that it tempers out 32805/32768 and is thus a schismatic system, that it tempers out 225/224 and 385/384 and so is a marvel system, and that it also tempers out 3125/3087, 4000/3969, 5120/5103 and 540/539.&lt;br /&gt;
The list of 23-limit commas it tempers out is huge, but it's worth noting that it tempers out 32805/32768 and is thus a schismatic system, that it tempers out 225/224 and 385/384 and so is a marvel system, and that it also tempers out 3125/3087, 4000/3969, 5120/5103 and 540/539.&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
311&amp;amp;94 &amp;lt;&amp;lt;3 70 -42 69 -34 50 85 83...||&lt;br /&gt;
311&amp;amp;94 &amp;lt;&amp;lt;3 70 -42 69 -34 50 85 83...||&lt;br /&gt;
422&amp;amp;94 &amp;lt;&amp;lt;8 124 -18 90 -28 102 164 96 ... ||&lt;/body&gt;&lt;/html&gt;</pre></div>
422&amp;amp;94 &amp;lt;&amp;lt;8 124 -18 90 -28 102 164 96 ... ||&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Scales&lt;/h1&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/garibaldi12"&gt;garibaldi12&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/garibaldi17"&gt;garibaldi17&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>