Magic family: Difference between revisions
Wikispaces>x31eq **Imported revision 401589430 - Original comment: ** |
Wikispaces>x31eq **Imported revision 401589506 - 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:x31eq|x31eq]] and made on <tt>2013-01-26 07: | : This revision was by author [[User:x31eq|x31eq]] and made on <tt>2013-01-26 07:03:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>401589506</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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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 | 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= | =Five limit magic= | ||
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<!-- ws:end:WikiTextTocRule:106 -->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 /> | <!-- ws:end:WikiTextTocRule:106 -->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 /> | ||
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The most prominent deficiency of magic temperaments is that they lack | 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 /> | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Five limit magic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Five limit magic</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Five limit magic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Five limit magic</h1> | ||