Magic family: Difference between revisions

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=Magic=  
=Magic=  
(See also [[Magic]].)
Magic tempers out not only 3125/3072 and 875/864, but also 225/224, 245/243, and 10976/10935. [[41edo]] is a good magic tuning, and 19 or 22 note MOS are possible scales. Five major thirds approximate 3/1. Twelve major thirds, less an octave, approximate 7/1.
Magic tempers out not only 3125/3072 and 875/864, but also 225/224, 245/243, and 10976/10935. [[41edo]] is a good magic tuning, and 19 or 22 note MOS are possible scales. Five major thirds approximate 3/1. Twelve major thirds, less an octave, approximate 7/1.


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&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Magic&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Magic&lt;/h1&gt;
  Magic tempers out not only 3125/3072 and 875/864, but also 225/224, 245/243, and 10976/10935. &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; is a good magic tuning, and 19 or 22 note MOS are possible scales. Five major thirds approximate 3/1. Twelve major thirds, less an octave, approximate 7/1.&lt;br /&gt;
  (See also &lt;a class="wiki_link" href="/Magic"&gt;Magic&lt;/a&gt;.)&lt;br /&gt;
Magic tempers out not only 3125/3072 and 875/864, but also 225/224, 245/243, and 10976/10935. &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; is a good magic tuning, and 19 or 22 note MOS are possible scales. Five major thirds approximate 3/1. Twelve major thirds, less an octave, approximate 7/1.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Magic, with its accurate fifths, works well with 9-limit harmony. It's more accurate than &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; and simpler than &lt;a class="wiki_link" href="/Garibaldi%20temperament"&gt;garibaldi&lt;/a&gt;. It's a little tricky to work with because in it fifths are a relatively complex interval and it doesn't naturally work with scales of around seven notes to the octave. Its wedgie is &amp;lt;&amp;lt;5 1 12 -10 5 25||.&lt;br /&gt;
Magic, with its accurate fifths, works well with 9-limit harmony. It's more accurate than &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; and simpler than &lt;a class="wiki_link" href="/Garibaldi%20temperament"&gt;garibaldi&lt;/a&gt;. It's a little tricky to work with because in it fifths are a relatively complex interval and it doesn't naturally work with scales of around seven notes to the octave. Its wedgie is &amp;lt;&amp;lt;5 1 12 -10 5 25||.&lt;br /&gt;