1/3-comma meantone: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
In '''1/3-comma [[Meantone|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]]).
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-10-23 04:22:04 UTC</tt>.<br>
: The original revision id was <tt>462294670</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 **1/3-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]].
In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an [[Fractional_monzos|eigenmonzo]] of 6/5.


1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference).
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]].
=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)</pre></div>
1/3-comma meantone is practically identical to the closed system of [[19edo|19edo]] (although technically there is a slight difference).
<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;1-3 Syntonic Comma Meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;strong&gt;1/3-comma &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt;&lt;/strong&gt; temperament, each perfect fifth is tempered by a third 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 minor thirds being exactly &lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt; (and major sixths being exactly &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;).&lt;br /&gt;
=External links=
In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an &lt;a class="wiki_link" href="/Fractional%20monzos"&gt;eigenmonzo&lt;/a&gt; of 6/5.&lt;br /&gt;
[http://www.lehrklaenge.de/html/mitteltonige_stimmung_iii.html Die mitteltönige Stimmung mit reinen kleinen Terzen] (explanation of 1/3 comma meantone, in german)
&lt;br /&gt;
[[Category:definition]]
The fifth is 694.786 cents in size, and the major third 379.145 cents, which is about 7 cents flatter than in &lt;a class="wiki_link" href="/Quarter-comma%20meantone"&gt;1/4-comma meantone&lt;/a&gt;.&lt;br /&gt;
[[Category:meantone]]
&lt;br /&gt;
1/3-comma meantone is practically identical to the closed system of &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; (although technically there is a slight difference).&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="External links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;External links&lt;/h1&gt;
&lt;a class="wiki_link_ext" href="http://www.lehrklaenge.de/html/mitteltonige_stimmung_iii.html" rel="nofollow"&gt;Die mitteltönige Stimmung mit reinen kleinen Terzen&lt;/a&gt; (explanation of 1/3 comma meantone, in german)&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

In 1/3-comma meantone temperament, each perfect fifth is tempered by a third of a syntonic comma from its just value of 3/2. This results in minor thirds being exactly 6/5 (and major sixths being exactly 5/3).

In other words, 1/3-comma meantone is the specific tuning of meantone temperament with an 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 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

Die mitteltönige Stimmung mit reinen kleinen Terzen (explanation of 1/3 comma meantone, in german)