Meantone: Difference between revisions

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**Imported revision 237355761 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-05-30 01:15:27 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-06-17 15:31:38 UTC</tt>.<br>
: The original revision id was <tt>232811302</tt>.<br>
: The original revision id was <tt>237355761</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">Meantone is a familar historical [[temperament]] based on a chain of fifths (or fourths), which is discussed [[Meantone family|here]] in the context of the associated family of temperaments.
<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">Meantone is a familar historical [[temperament]] based on a chain of fifths (or fourths), which is discussed [[Meantone family|here]] in the context of the associated family of temperaments.


= History =
=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.
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 =
=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.
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 (ie, tunings) =
=Common Meantone Temperaments (ie, tunings)=  
* [[19edo|19-edo]]
* [[19edo|19-edo]]
* [[1-3 Syntonic Comma Meantone|1/3 Syntonic Comma Meantone]]
* [[1-3 Syntonic Comma Meantone|1/3 Syntonic Comma Meantone]]
Line 23: Line 23:
* [[1-6 Syntonic Comma Meantone|1/6 Syntonic Comma Meantone]]
* [[1-6 Syntonic Comma Meantone|1/6 Syntonic Comma Meantone]]
* [[12edo|12-edo]]
* [[12edo|12-edo]]
* [[Lucy tuning]]


= Links =
=Links=  
* http://home.earthlink.net/~kgann/histune.html -- An Introduction to Historical Tunings, by [[Kyle Gann]]</pre></div>
* http://home.earthlink.net/~kgann/histune.html -- An Introduction to Historical Tunings, by [[Kyle Gann]]</pre></div>
<h4>Original HTML content:</h4>
<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;Meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Meantone is a familar historical &lt;a class="wiki_link" href="/temperament"&gt;temperament&lt;/a&gt; based on a chain of fifths (or fourths), which is discussed &lt;a class="wiki_link" href="/Meantone%20family"&gt;here&lt;/a&gt; in the context of the associated family of temperaments.&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;Meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Meantone is a familar historical &lt;a class="wiki_link" href="/temperament"&gt;temperament&lt;/a&gt; based on a chain of fifths (or fourths), which is discussed &lt;a class="wiki_link" href="/Meantone%20family"&gt;here&lt;/a&gt; in the context of the associated family of temperaments.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="History"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; History &lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="History"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;History&lt;/h1&gt;
Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various &lt;a class="wiki_link" href="/Well%20Temperament"&gt;Well Temperaments&lt;/a&gt; and eventually 12-tone &lt;a class="wiki_link" href="/Equal%20Temperament"&gt;Equal Temperament&lt;/a&gt; won in popularity.&lt;br /&gt;
Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various &lt;a class="wiki_link" href="/Well%20Temperament"&gt;Well Temperaments&lt;/a&gt; and eventually 12-tone &lt;a class="wiki_link" href="/Equal%20Temperament"&gt;Equal Temperament&lt;/a&gt; won in popularity.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Theory and Classification"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; Theory and Classification &lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Theory and Classification"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Theory and Classification&lt;/h1&gt;
Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;rank-2 temperament&lt;/a&gt;. 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.&lt;br /&gt;
Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;rank-2 temperament&lt;/a&gt;. 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.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Common Meantone Temperaments (ie, tunings)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt; Common Meantone Temperaments (ie, tunings) &lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Common Meantone Temperaments (ie, tunings)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Common Meantone Temperaments (ie, tunings)&lt;/h1&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/19edo"&gt;19-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone"&gt;1/3 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Golden%20Meantone"&gt;Golden Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Quarter-comma%20meantone"&gt;1/4 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/31edo"&gt;31-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-5%20Syntonic%20Comma%20Meantone"&gt;1/5 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone"&gt;1/6 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12edo"&gt;12-edo&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/19edo"&gt;19-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone"&gt;1/3 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Golden%20Meantone"&gt;Golden Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Quarter-comma%20meantone"&gt;1/4 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/31edo"&gt;31-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-5%20Syntonic%20Comma%20Meantone"&gt;1/5 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone"&gt;1/6 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12edo"&gt;12-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Lucy%20tuning"&gt;Lucy tuning&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt; Links &lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Links&lt;/h1&gt;
&lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:51:http://home.earthlink.net/~kgann/histune.html --&gt;&lt;a class="wiki_link_ext" href="http://home.earthlink.net/~kgann/histune.html" rel="nofollow"&gt;http://home.earthlink.net/~kgann/histune.html&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:51 --&gt; -- An Introduction to Historical Tunings, by &lt;a class="wiki_link" href="/Kyle%20Gann"&gt;Kyle Gann&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:54:http://home.earthlink.net/~kgann/histune.html --&gt;&lt;a class="wiki_link_ext" href="http://home.earthlink.net/~kgann/histune.html" rel="nofollow"&gt;http://home.earthlink.net/~kgann/histune.html&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:54 --&gt; -- An Introduction to Historical Tunings, by &lt;a class="wiki_link" href="/Kyle%20Gann"&gt;Kyle Gann&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 15:31, 17 June 2011

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 2011-06-17 15:31:38 UTC.
The original revision id was 237355761.
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:

Meantone is a familar historical [[temperament]] based on a chain of fifths (or fourths), which is discussed [[Meantone family|here]] in the context of the associated family of temperaments.

=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 (ie, tunings)= 
* [[19edo|19-edo]]
* [[1-3 Syntonic Comma Meantone|1/3 Syntonic Comma Meantone]]
* [[Golden Meantone]]
* [[Quarter-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]]
* [[Lucy tuning]]

=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), which is discussed <a class="wiki_link" href="/Meantone%20family">here</a> in the context of the associated family of temperaments.<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 (ie, tunings)"></a><!-- ws:end:WikiTextHeadingRule:4 -->Common Meantone Temperaments (ie, tunings)</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="/Quarter-comma%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><li><a class="wiki_link" href="/Lucy%20tuning">Lucy tuning</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:54: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:54 --> -- An Introduction to Historical Tunings, by <a class="wiki_link" href="/Kyle%20Gann">Kyle Gann</a></li></ul></body></html>