1/3-comma meantone: Difference between revisions

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Wikispaces>keenanpepper
**Imported revision 255918310 - Original comment: **
Wikispaces>hstraub
**Imported revision 295493168 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-09-19 22:35:39 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2012-01-26 07:21:16 UTC</tt>.<br>
: The original revision id was <tt>255918310</tt>.<br>
: The original revision id was <tt>295493168</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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<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]]).
<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.
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 - both 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).
1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference).
=External links=  
=External links=  
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<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 1/3-comma &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&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;
<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 1/3-comma &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&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;
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;
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;
&lt;br /&gt;
The fifth is 694.786 cents in size, and the major third 379.145 cents - both flatter than in &lt;a class="wiki_link" href="/Quarter-comma%20meantone"&gt;1/4-comma meantone&lt;/a&gt;.&lt;br /&gt;
&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;
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;!-- 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>
  &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 07:21, 26 January 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author hstraub and made on 2012-01-26 07:21:16 UTC.
The original revision id was 295493168.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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 - both 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 1/3-comma <a class="wiki_link" href="/meantone">meantone</a> 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 - both 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:&lt;h1&gt; --><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>
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