Orwell: 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:~~xenwolf~~|~~xenwolf~~]] and made on <tt>2011-08-23 02:35:47 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-23 13:25:39 UTC</tt>.<br>

: The original revision id was <tt>~~247859105~~</tt>.<br>

: The original revision id was <tt>247958107</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>

<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">Orwell — so named because 19 steps of [[84edo]], or 19\84, is a possible generator — is ~~a decent~~ 7-limit temperament ~~but~~ an amazing 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]] 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance.

Compatible equal temperaments include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].

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.

==Interval chain==

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|| JI intervals represented || 15/14~16/15 || 8/7 || 11/9 || 5/4 || 4/3 || 10/7 || 16/11 || 14/9~11/7 || 5/3 || 12/7 || 11/6 || ||</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>Orwell</title></head><body>Orwell — so named because 19 steps of <a class="wiki_link" href="/84edo">84edo</a>, or 19\84, is a possible generator — is ~~a decent~~ 7-limit temperament ~~but~~ an amazing 11-limit temperament. The &quot;perfect twelfth&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 <a class="wiki_link" href="/Semicomma%20family">Semicomma family</a>.<br />

<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>Orwell</title></head><body>Orwell — so named because 19 steps of <a class="wiki_link" href="/84edo">84edo</a>, 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 &quot;perfect twelfth&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 <a class="wiki_link" href="/Semicomma%20family">Semicomma family</a>.<br />

<br />

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 <a class="wiki_link" href="/orwell%20tetrad">orwell tetrad</a> 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance.<br />

<br />

Compatible equal temperaments include <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, and <a class="wiki_link" href="/84edo">84edo</a>.<br />

Compatible equal temperaments include <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, and <a class="wiki_link" href="/84edo">84edo</a>. Orwell is in better tune in lower limits than higher ones; the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> is <a class="wiki_link" href="/296edo">296edo</a> in the 5-limit, <a class="wiki_link" href="/137edo">137edo</a> in the 7-limit, and <a class="wiki_link" href="/53edo">53edo</a> in the 11-limit.<br />

<br />

<h2 id="toc0"><a name="x-Interval chain"></a>Interval chain</h2>

@@ Line 1: / Line 1: @@
 <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:xenwolf|xenwolf]] and made on <tt>2011-08-23 02:35:47 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-23 13:25:39 UTC</tt>.<br>
-: The original revision id was <tt>247859105</tt>.<br>
+: The original revision id was <tt>247958107</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>
 <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">Orwell — so named because 19 steps of [[84edo]], or 19\84, is a possible generator — is a decent 7-limit temperament but an amazing 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]] 1/1-7/6-11/8-8/5, a chord in which every interval is a (tempered) 11-limit consonance.
-Compatible equal temperaments include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].
+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.
 ==Interval chain==
@@ Line 27: / Line 27: @@
 || JI intervals represented || 15/14~16/15 || 8/7 || 11/9 || 5/4 || 4/3 || 10/7 || 16/11 || 14/9~11/7 || 5/3 || 12/7 || 11/6 ||   ||</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;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 a decent 7-limit temperament but an amazing 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;
 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.&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;.&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.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Interval chain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Interval chain&lt;/h2&gt;