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**Imported revision 247962941 - 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>2011-08-23 13:43:55 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-23 13:53:59 UTC</tt>.<br>
: The original revision id was <tt>247962941</tt>.<br>
: The original revision id was <tt>247965337</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>
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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">Orwell — so named because 19 steps of [[84edo]], or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The "perfect twelfth" 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the [[Semicomma family]].
<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">Orwell — so named because 19 steps of [[84edo]], or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The "perfect twelfth" 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the [[Semicomma family]].


In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the [[orwell tetrad|guanyin tetrad]] 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the [[keenanismic tetrads]] and the [[swetismic chords]].
In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the [[orwell tetrad]] 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the [[keenanismic tetrads]] and the [[swetismic chords]].


Compatible equal temperaments include [[22edo]], [[31edo]], [[53edo]], and [[84edo]]. Orwell is in better tune in lower limits than higher ones; the [[optimal patent val]] is [[296edo]] in the 5-limit, [[137edo]] in the 7-limit, and [[53edo]] in the 11-limit. It tempers out the semicomma in the 5-limit, 225/224, 1728/1715, 2430/2401 and 6144/6125 in the 7-limit, and 99/98, 121/120, 176/175, 385/384 and 540/539 in the 11-limit. By adding 275/273 to the list of commas it can be extended to the 13-limit as [[Semicomma family#Julia|julia temperament]], and by adding instead 66/65, [[Semicomma family#Winston|winston temperament]].
Compatible equal temperaments include [[22edo]], [[31edo]], [[53edo]], and [[84edo]]. Orwell is in better tune in lower limits than higher ones; the [[optimal patent val]] is [[296edo]] in the 5-limit, [[137edo]] in the 7-limit, and [[53edo]] in the 11-limit. It tempers out the semicomma in the 5-limit, 225/224, 1728/1715, 2430/2401 and 6144/6125 in the 7-limit, and 99/98, 121/120, 176/175, 385/384 and 540/539 in the 11-limit. By adding 275/273 to the list of commas it can be extended to the 13-limit as [[Semicomma family#Julia|julia temperament]], and by adding instead 66/65, [[Semicomma family#Winston|winston temperament]].
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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;Orwell&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Orwell — so named because 19 steps of &lt;a class="wiki_link" href="/84edo"&gt;84edo&lt;/a&gt;, or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The &amp;quot;perfect twelfth&amp;quot; 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the &lt;a class="wiki_link" href="/Semicomma%20family"&gt;Semicomma family&lt;/a&gt;.&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;Orwell&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Orwell — so named because 19 steps of &lt;a class="wiki_link" href="/84edo"&gt;84edo&lt;/a&gt;, or 19\84, is a possible generator — is an excellent 7-limit temperament and an amazing (because of the low complexity of 11) 11-limit temperament. The &amp;quot;perfect twelfth&amp;quot; 3/1 is divided into 7 equal steps. One of these steps represents 7/6; three represent 8/5. It's a member of the &lt;a class="wiki_link" href="/Semicomma%20family"&gt;Semicomma family&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the &lt;a class="wiki_link" href="/orwell%20tetrad"&gt;guanyin tetrad&lt;/a&gt; 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the &lt;a class="wiki_link" href="/keenanismic%20tetrads"&gt;keenanismic tetrads&lt;/a&gt; and the &lt;a class="wiki_link" href="/swetismic%20chords"&gt;swetismic chords&lt;/a&gt;.&lt;br /&gt;
In the 11 limit, two generators are equated to 11/8 (meaning 99/98 is tempered out). This means that three stacked generators makes the &lt;a class="wiki_link" href="/orwell%20tetrad"&gt;orwell tetrad&lt;/a&gt; 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance. Other such chords in orwell are the &lt;a class="wiki_link" href="/keenanismic%20tetrads"&gt;keenanismic tetrads&lt;/a&gt; and the &lt;a class="wiki_link" href="/swetismic%20chords"&gt;swetismic chords&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Compatible equal temperaments include &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, and &lt;a class="wiki_link" href="/84edo"&gt;84edo&lt;/a&gt;. Orwell is in better tune in lower limits than higher ones; the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; is &lt;a class="wiki_link" href="/296edo"&gt;296edo&lt;/a&gt; in the 5-limit, &lt;a class="wiki_link" href="/137edo"&gt;137edo&lt;/a&gt; in the 7-limit, and &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt; in the 11-limit. It tempers out the semicomma in the 5-limit, 225/224, 1728/1715, 2430/2401 and 6144/6125 in the 7-limit, and 99/98, 121/120, 176/175, 385/384 and 540/539 in the 11-limit. By adding 275/273 to the list of commas it can be extended to the 13-limit as &lt;a class="wiki_link" href="/Semicomma%20family#Julia"&gt;julia temperament&lt;/a&gt;, and by adding instead 66/65, &lt;a class="wiki_link" href="/Semicomma%20family#Winston"&gt;winston temperament&lt;/a&gt;.&lt;br /&gt;
Compatible equal temperaments include &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, and &lt;a class="wiki_link" href="/84edo"&gt;84edo&lt;/a&gt;. Orwell is in better tune in lower limits than higher ones; the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; is &lt;a class="wiki_link" href="/296edo"&gt;296edo&lt;/a&gt; in the 5-limit, &lt;a class="wiki_link" href="/137edo"&gt;137edo&lt;/a&gt; in the 7-limit, and &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt; in the 11-limit. It tempers out the semicomma in the 5-limit, 225/224, 1728/1715, 2430/2401 and 6144/6125 in the 7-limit, and 99/98, 121/120, 176/175, 385/384 and 540/539 in the 11-limit. By adding 275/273 to the list of commas it can be extended to the 13-limit as &lt;a class="wiki_link" href="/Semicomma%20family#Julia"&gt;julia temperament&lt;/a&gt;, and by adding instead 66/65, &lt;a class="wiki_link" href="/Semicomma%20family#Winston"&gt;winston temperament&lt;/a&gt;.&lt;br /&gt;
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