Meantone: Difference between revisions
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> | ||
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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> | ||