Meantone: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 200737888 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 200738148 - 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>2011-02-10 20: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-10 20:45:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>200738148</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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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 = | = 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]] | ||
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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 /> | 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 /> | <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> | <!-- 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="/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 /> | <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> | <!-- 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:51: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:51 --> -- An Introduction to Historical Tunings, by <a class="wiki_link" href="/Kyle%20Gann">Kyle Gann</a></li></ul></body></html></pre></div> | <ul><li><!-- ws:start:WikiTextUrlRule:51: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:51 --> -- An Introduction to Historical Tunings, by <a class="wiki_link" href="/Kyle%20Gann">Kyle Gann</a></li></ul></body></html></pre></div> | ||
Revision as of 20:45, 10 February 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 genewardsmith and made on 2011-02-10 20:45:13 UTC.
- The original revision id was 200738148.
- 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]] * [[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), 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:<h1> --><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:<h1> --><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:<h1> --><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="/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:<h1> --><h1 id="toc3"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:6 --> Links </h1> <ul><li><!-- ws:start:WikiTextUrlRule:51: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:51 --> -- An Introduction to Historical Tunings, by <a class="wiki_link" href="/Kyle%20Gann">Kyle Gann</a></li></ul></body></html>