Magic family

Revision as of 05:35, 31 May 2010 by Wikispaces>genewardsmith (**Imported revision 145989229 - Original comment: **)
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This revision was by author genewardsmith and made on 2010-05-31 05:35:06 UTC.
The original revision id was 145989229.
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Original Wikitext content:

The 5-limit parent comma for the magic family is 3125/3072, the small diesis or magic comma. Its monzo is |-10 -1 5>, and flipping that yields <<5 1 -10|| for the wedgie. This tells us the generator is a major third, and that to get to the interval class of fifths will require five of these. In fact, (5/4)^5 = 3 * 3125/3072. 13/41 is a highly recommendable generator,though 19/60 also makes sense and using [[19edo]] or [[22edo]] is always possible.

Original HTML content:

<html><head><title>Magic family</title></head><body>The 5-limit parent comma for the magic family is 3125/3072, the small diesis or magic comma. Its monzo is |-10 -1 5&gt;, and flipping that yields &lt;&lt;5 1 -10|| for the wedgie. This tells us the generator is a major third, and that to get to the interval class of fifths will require five of these. In fact, (5/4)^5 = 3 * 3125/3072. 13/41 is a highly recommendable generator,though 19/60 also makes sense and using <a class="wiki_link" href="/19edo">19edo</a> or <a class="wiki_link" href="/22edo">22edo</a> is always possible.</body></html>