Meantone

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This revision was by author magnusjonsson and made on 2007-10-20 23:35:37 UTC.
The original revision id was 9824047.
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Original Wikitext content:

Meantone is a familar historical [[temperament]] based on a chain of fifths (or fourths).

= History =
Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various [[Well Temperament|Well Temperaments]] and eventually 12-tone [[Equal Temperament]] won in popularity.

= Theory and Classification =
Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a [[Regular Temperaments|rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few cents narrower than pure. The rationale for narrowing the fifth is to temper out the syntonic comma. This means that stacking four fifths (such as C-G-D-A-E) results in a major third (C-E) that is close to just.

= Common Meantone Temperaments =
* [[19edo|19-edo]]
* [[1-3 Syntonic Comma Meantone|1/3 Syntonic Comma Meantone]]
* [[Golden Meantone]]
* [[1-4 Syntonic Comma Meantone|1/4 Syntonic Comma Meantone]]
* [[31edo|31-edo]]
* [[1-5 Syntonic Comma Meantone|1/5 Syntonic Comma Meantone]]
* [[1-6 Syntonic Comma Meantone|1/6 Syntonic Comma Meantone]]
* [[12edo|12-edo]]

= Links =
* http://home.earthlink.net/~kgann/histune.html -- An Introduction to Historical Tunings, by Kyle Gann 

Original HTML content:

<html><head><title>Meantone</title></head><body>Meantone is a familar historical <a class="wiki_link" href="/temperament">temperament</a> based on a chain of fifths (or fourths).<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="History"></a><!-- ws:end:WikiTextHeadingRule:0 --> History </h1>
Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various <a class="wiki_link" href="/Well%20Temperament">Well Temperaments</a> and eventually 12-tone <a class="wiki_link" href="/Equal%20Temperament">Equal Temperament</a> won in popularity.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Theory and Classification"></a><!-- ws:end:WikiTextHeadingRule:2 --> Theory and Classification </h1>
Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a <a class="wiki_link" href="/Regular%20Temperaments">rank-2 temperament</a>. The octave is typically pure or close to pure, and the fifth is a few cents narrower than pure. The rationale for narrowing the fifth is to temper out the syntonic comma. This means that stacking four fifths (such as C-G-D-A-E) results in a major third (C-E) that is close to just.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Common Meantone Temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 --> Common Meantone Temperaments </h1>
<ul><li><a class="wiki_link" href="/19edo">19-edo</a></li><li><a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone">1/3 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/Golden%20Meantone">Golden Meantone</a></li><li><a class="wiki_link" href="/1-4%20Syntonic%20Comma%20Meantone">1/4 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/31edo">31-edo</a></li><li><a class="wiki_link" href="/1-5%20Syntonic%20Comma%20Meantone">1/5 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone">1/6 Syntonic Comma Meantone</a></li><li><a class="wiki_link" href="/12edo">12-edo</a></li></ul><br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:6 --> Links </h1>
<ul><li><!-- ws:start:WikiTextUrlRule:49:http://home.earthlink.net/~kgann/histune.html --><a class="wiki_link_ext" href="http://home.earthlink.net/~kgann/histune.html" rel="nofollow">http://home.earthlink.net/~kgann/histune.html</a><!-- ws:end:WikiTextUrlRule:49 --> -- An Introduction to Historical Tunings, by Kyle Gann</li></ul></body></html>