1/2-comma meantone

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Revision as of 13:15, 30 September 2011 by Wikispaces>keenanpepper (**Imported revision 260054158 - Original comment: **)
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This revision was by author keenanpepper and made on 2011-09-30 13:15:57 UTC.
The original revision id was 260054158.
The revision comment was:

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Original Wikitext content:

In 1/2-comma [[meantone]] temperament, each perfect fifth is tempered by a half of a [[Syntonic Comma|syntonic comma]] from its just value of [[3_2|3/2]]. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).

In this system, the "major thirds" are exactly 100/81 or approximately 365 cents, thus bordering on neutral thirds. The fifths of this temperament are even narrower than those of [[26edo]], which is the most likely candidate for a closed system approximating this meantone.

Original HTML content:

<html><head><title>1-2 syntonic comma meantone</title></head><body>In 1/2-comma <a class="wiki_link" href="/meantone">meantone</a> temperament, each perfect fifth is tempered by a half of a <a class="wiki_link" href="/Syntonic%20Comma">syntonic comma</a> from its just value of <a class="wiki_link" href="/3_2">3/2</a>. This results in minor sevenths being exactly 9/5 (and major seconds being exactly 10/9).<br />
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In this system, the &quot;major thirds&quot; are exactly 100/81 or approximately 365 cents, thus bordering on neutral thirds. The fifths of this temperament are even narrower than those of <a class="wiki_link" href="/26edo">26edo</a>, which is the most likely candidate for a closed system approximating this meantone.</body></html>