1/3-comma meantone
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- This revision was by author xenwolf and made on 2013-10-23 04:22:04 UTC.
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Original Wikitext content:
In **1/3-comma [[meantone]]** temperament, each perfect fifth is tempered by a third of a [[Syntonic Comma|syntonic comma]] from its just value of [[3_2|3/2]]. This results in minor thirds being exactly [[6_5|6/5]] (and major sixths being exactly [[5_3|5/3]]). In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an [[Fractional monzos|eigenmonzo]] of 6/5. The fifth is 694.786 cents in size, and the major third 379.145 cents, which is about 7 cents flatter than in [[Quarter-comma meantone|1/4-comma meantone]]. 1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference). =External links= [[http://www.lehrklaenge.de/html/mitteltonige_stimmung_iii.html|Die mitteltönige Stimmung mit reinen kleinen Terzen]] (explanation of 1/3 comma meantone, in german)
Original HTML content:
<html><head><title>1-3 Syntonic Comma Meantone</title></head><body>In <strong>1/3-comma <a class="wiki_link" href="/meantone">meantone</a></strong> temperament, each perfect fifth is tempered by a third 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 thirds being exactly <a class="wiki_link" href="/6_5">6/5</a> (and major sixths being exactly <a class="wiki_link" href="/5_3">5/3</a>).<br /> In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an <a class="wiki_link" href="/Fractional%20monzos">eigenmonzo</a> of 6/5.<br /> <br /> The fifth is 694.786 cents in size, and the major third 379.145 cents, which is about 7 cents flatter than in <a class="wiki_link" href="/Quarter-comma%20meantone">1/4-comma meantone</a>.<br /> <br /> 1/3-comma meantone is practically identical to the closed system of <a class="wiki_link" href="/19edo">19edo</a> (although technically there is a slight difference).<br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="External links"></a><!-- ws:end:WikiTextHeadingRule:0 -->External links</h1> <a class="wiki_link_ext" href="http://www.lehrklaenge.de/html/mitteltonige_stimmung_iii.html" rel="nofollow">Die mitteltönige Stimmung mit reinen kleinen Terzen</a> (explanation of 1/3 comma meantone, in german)</body></html>