1/5-comma meantone: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
In 1/5-comma [[Meantone|meantone]] temperament, each perfect fifth is tempered by a fifth of a [[Syntonic_Comma|syntonic comma]] from its just value of [[3/2|3/2]]. This results in major sevenths being exactly 15/8 (and minor seconds being exactly 16/15), and in fact this defines 1/5-comma; it is the regular tuning which tempers out 81/80 and tunes 2 and 16/15 purely.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-30 12:15:16 UTC</tt>.<br>
: The original revision id was <tt>260032358</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>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">In 1/5-comma [[meantone]] temperament, each perfect fifth is tempered by a fifth of a [[Syntonic Comma|syntonic comma]] from its just value of [[3_2|3/2]]. This results in major sevenths being exactly 15/8 (and minor seconds being exactly 16/15), and in fact this defines 1/5-comma; it is the regular tuning which tempers out 81/80 and tunes 2 and 16/15 purely.


1/5-comma meantone is practically identical to the closed system of [[43edo]] (although technically there is a slight difference, as the fifth of 43 is 0.0207 cents sharper.)</pre></div>
1/5-comma meantone is practically identical to the closed system of [[43edo|43edo]] (although technically there is a slight difference, as the fifth of 43 is 0.0207 cents sharper.)
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;1-5 Syntonic Comma Meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In 1/5-comma &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt; temperament, each perfect fifth is tempered by a fifth of a &lt;a class="wiki_link" href="/Syntonic%20Comma"&gt;syntonic comma&lt;/a&gt; from its just value of &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;. This results in major sevenths being exactly 15/8 (and minor seconds being exactly 16/15), and in fact this defines 1/5-comma; it is the regular tuning which tempers out 81/80 and tunes 2 and 16/15 purely.&lt;br /&gt;
&lt;br /&gt;
1/5-comma meantone is practically identical to the closed system of &lt;a class="wiki_link" href="/43edo"&gt;43edo&lt;/a&gt; (although technically there is a slight difference, as the fifth of 43 is 0.0207 cents sharper.)&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

In 1/5-comma meantone temperament, each perfect fifth is tempered by a fifth of a syntonic comma from its just value of 3/2. This results in major sevenths being exactly 15/8 (and minor seconds being exactly 16/15), and in fact this defines 1/5-comma; it is the regular tuning which tempers out 81/80 and tunes 2 and 16/15 purely.

1/5-comma meantone is practically identical to the closed system of 43edo (although technically there is a slight difference, as the fifth of 43 is 0.0207 cents sharper.)