Magic family: 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:x31eq|x31eq]] and made on <tt>2013-01-26 06:54:49 UTC</tt>.<br>

: This revision was by author [[User:x31eq|x31eq]] and made on <tt>2013-01-26 07:01:59 UTC</tt>.<br>

: The original revision id was <tt>~~401588902~~</tt>.<br>

: The original revision id was <tt>401589430</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">[[toc]]

A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than meantone and is also closer to just intonation. It is the simplest rank 2 temperament that tunes every 9-limit interval better than is possible in [[12edo]]. Properties may depend on tuning and extension.

A magic ~~temperament~~ is ~~optimal, for some searches, in the 9-limit. It has slightly higher complexity than meantone and is also closer to just intonation. It is the simplest rank 2 temperament~~ that ~~tunes every 9-limit interval better than is possible in~~ [[~~12edo~~]]~~. Properties may depend on tuning and extension~~.

The most prominent deficiency of magic temperaments is that they lack [[Rothenberg+propriety|proper]] or nearly-proper MOS scales in the 5 to 10 note "diatonic" region.

=Five limit magic=

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<div style="margin-left: 2em;"><a href="#Quadrimage-13-limit">13-limit</a></div>

</div>

~~<br />~~

A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than meantone and is also closer to just intonation. It is the simplest rank 2 temperament that tunes every 9-limit interval better than is possible in <a class="wiki_link" href="/12edo">12edo</a>. Properties may depend on tuning and extension.<br />

A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than meantone and is also closer to just intonation. It is the simplest rank 2 temperament that tunes every 9-limit interval better than is possible in <a class="wiki_link" href="/12edo">12edo</a>. Properties may depend on tuning and extension.<br />

<br />

The most prominent deficiency of magic temperaments is that they lack [[Rothenberg+propriety|proper]] or nearly-proper MOS scales in the 5 to 10 note &quot;diatonic&quot; region.<br />

<br />

<h1 id="toc0"><a name="Five limit magic"></a>Five limit magic</h1>

@@ 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:x31eq|x31eq]] and made on <tt>2013-01-26 06:54:49 UTC</tt>.<br>
+: This revision was by author [[User:x31eq|x31eq]] and made on <tt>2013-01-26 07:01:59 UTC</tt>.<br>
-: The original revision id was <tt>401588902</tt>.<br>
+: The original revision id was <tt>401589430</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">[[toc]]
+A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than meantone and is also closer to just intonation. It is the simplest rank 2 temperament that tunes every 9-limit interval better than is possible in [[12edo]]. Properties may depend on tuning and extension.
-A magic temperament is optimal, for some searches, in the 9-limit.  It has slightly higher complexity than meantone and is also closer to just intonation.  It is the simplest rank 2 temperament that tunes every 9-limit interval better than is possible in [[12edo]].  Properties may depend on tuning and extension.
+The most prominent deficiency of magic temperaments is that they lack [[Rothenberg+propriety|proper]] or nearly-proper MOS scales in the 5 to 10 note "diatonic" region.
 =Five limit magic=
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 &lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quadrimage-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:106 --&gt;A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than meantone and is also closer to just intonation. It is the simplest rank 2 temperament that tunes every 9-limit interval better than is possible in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. Properties may depend on tuning and extension.&lt;br /&gt;
-A magic temperament is optimal, for some searches, in the 9-limit.  It has slightly higher complexity than meantone and is also closer to just intonation.  It is the simplest rank 2 temperament that tunes every 9-limit interval better than is possible in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;.  Properties may depend on tuning and extension.&lt;br /&gt;
+&lt;br /&gt;
+The most prominent deficiency of magic temperaments is that they lack [[Rothenberg+propriety|proper]] or nearly-proper MOS scales in the 5 to 10 note &amp;quot;diatonic&amp;quot; region.&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="Five limit magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Five limit magic&lt;/h1&gt;