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:hstraub|hstraub]] and made on <tt>2013-09-25 04:58:09 UTC</tt>.<br>

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2013-09-25 07:17:29 UTC</tt>.<br>

: The original revision id was <tt>~~453985246~~</tt>.<br>

: The original revision id was <tt>454009476</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]]

<span style="display: block; text-align: right;">Other languages: [[xenharmonie/Magische Temperaturen|Deutsch]]

</span>

A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than [[Meantone family|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.

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

</div>

A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than <a class="wiki_link" href="/Meantone%20family">meantone</a> 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 />

<span style="display: block; text-align: right;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/Magische%20Temperaturen">Deutsch</a><br />

</span><br />

A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than <a class="wiki_link" href="/Meantone%20family">meantone</a> 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 <a class="wiki_link" href="/Rothenberg%20propriety">proper</a> or nearly-proper MOS scales in the 5 to 10 note &quot;diatonic&quot; region.<br />

@@ 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:hstraub|hstraub]] and made on <tt>2013-09-25 04:58:09 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2013-09-25 07:17:29 UTC</tt>.<br>
-: The original revision id was <tt>453985246</tt>.<br>
+: The original revision id was <tt>454009476</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]]
+&lt;span style="display: block; text-align: right;"&gt;Other languages: [[xenharmonie/Magische Temperaturen|Deutsch]]
+&lt;/span&gt;
 A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than [[Meantone family|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.
@@ Line 393: / Line 395: @@
 &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;A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; 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;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;span style="display: block; text-align: right;"&gt;Other languages: &lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/Magische%20Temperaturen"&gt;Deutsch&lt;/a&gt;&lt;br /&gt;
+&lt;/span&gt;&lt;br /&gt;
+A magic temperament is optimal, for some searches, in the 9-limit. It has slightly higher complexity than &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; 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 &lt;a class="wiki_link" href="/Rothenberg%20propriety"&gt;proper&lt;/a&gt; or nearly-proper MOS scales in the 5 to 10 note &amp;quot;diatonic&amp;quot; region.&lt;br /&gt;