Circulating temperament: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 216523556 - Original comment: ** |
Wikispaces>Natebedell **Imported revision 250979064 - 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: | : This revision was by author [[User:Natebedell|Natebedell]] and made on <tt>2011-09-05 19:38:59 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>250979064</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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A circulating temperament is intermediate between an equal temperament, where all of the intervals in the class are tuned the same, and a MOS scale, where for a class containing a generator all but one of the intervals are tuned the same. | A circulating temperament is intermediate between an equal temperament, where all of the intervals in the class are tuned the same, and a MOS scale, where for a class containing a generator all but one of the intervals are tuned the same. | ||
=Articles= | One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly. | ||
=Articles= | |||
* [[http://www.kylegann.com/histune.html|An Introduction to Historical Tunings]] by Kyle Gann [[http://www.webcitation.org/5xe2pcAue|Permalink]] | * [[http://www.kylegann.com/histune.html|An Introduction to Historical Tunings]] by Kyle Gann [[http://www.webcitation.org/5xe2pcAue|Permalink]] | ||
* [[http://lumma.org/tuning/gws/circ.html|Circulating Temperaments]] by Gene Ward Smith [[http://www.webcitation.org/5xemAJsWE|Permalink]] | * [[http://lumma.org/tuning/gws/circ.html|Circulating Temperaments]] by Gene Ward Smith [[http://www.webcitation.org/5xemAJsWE|Permalink]] | ||
* [[http://www.math.uwaterloo.ca/ | * [[http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html|Well v.s. Equal Temperament]] by Michael Rubinstein [[http://www.webcitation.org/5xemm0tvx|Permalink]] | ||
* [[http://www.piano-tuners.org/edfoote/well_tempered_piano.html|Six Degrees Of Tonality: The Well Tempered Piano]] by Edward Foote [[http://www.webcitation.org/5xenGg2uG|Permalink]] | * [[http://www.piano-tuners.org/edfoote/well_tempered_piano.html|Six Degrees Of Tonality: The Well Tempered Piano]] by Edward Foote [[http://www.webcitation.org/5xenGg2uG|Permalink]] | ||
* [[http://www.rollingball.com/images/HT5.htm|Five Well Temperaments]] [[http://www.webcitation.org/5xenqAL9m|Permalink]]</pre></div> | * [[http://www.rollingball.com/images/HT5.htm|Five Well Temperaments]] [[http://www.webcitation.org/5xenqAL9m|Permalink]]</pre></div> | ||
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A circulating temperament is intermediate between an equal temperament, where all of the intervals in the class are tuned the same, and a MOS scale, where for a class containing a generator all but one of the intervals are tuned the same.<br /> | A circulating temperament is intermediate between an equal temperament, where all of the intervals in the class are tuned the same, and a MOS scale, where for a class containing a generator all but one of the intervals are tuned the same.<br /> | ||
<br /> | |||
One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Articles"></a><!-- ws:end:WikiTextHeadingRule:0 -->Articles</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Articles"></a><!-- ws:end:WikiTextHeadingRule:0 -->Articles</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://www.kylegann.com/histune.html" rel="nofollow">An Introduction to Historical Tunings</a> by Kyle Gann <a class="wiki_link_ext" href="http://www.webcitation.org/5xe2pcAue" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://lumma.org/tuning/gws/circ.html" rel="nofollow">Circulating Temperaments</a> by Gene Ward Smith <a class="wiki_link_ext" href="http://www.webcitation.org/5xemAJsWE" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.math.uwaterloo.ca/ | <ul><li><a class="wiki_link_ext" href="http://www.kylegann.com/histune.html" rel="nofollow">An Introduction to Historical Tunings</a> by Kyle Gann <a class="wiki_link_ext" href="http://www.webcitation.org/5xe2pcAue" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://lumma.org/tuning/gws/circ.html" rel="nofollow">Circulating Temperaments</a> by Gene Ward Smith <a class="wiki_link_ext" href="http://www.webcitation.org/5xemAJsWE" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html" rel="nofollow">Well v.s. Equal Temperament</a> by Michael Rubinstein <a class="wiki_link_ext" href="http://www.webcitation.org/5xemm0tvx" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.piano-tuners.org/edfoote/well_tempered_piano.html" rel="nofollow">Six Degrees Of Tonality: The Well Tempered Piano</a> by Edward Foote <a class="wiki_link_ext" href="http://www.webcitation.org/5xenGg2uG" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.rollingball.com/images/HT5.htm" rel="nofollow">Five Well Temperaments</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xenqAL9m" rel="nofollow">Permalink</a></li></ul></body></html></pre></div> | ||
Revision as of 19:38, 5 September 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 Natebedell and made on 2011-09-05 19:38:59 UTC.
- The original revision id was 250979064.
- 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:
A //circulating temperament// is a [[Periodic scale|periodic scale]] with the property that for at least one [[interval class]], all of the intervals in the class can be regarded as approximations of a single just interval, but which is not an equal temperament. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave. A circulating temperament is intermediate between an equal temperament, where all of the intervals in the class are tuned the same, and a MOS scale, where for a class containing a generator all but one of the intervals are tuned the same. One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly. =Articles= * [[http://www.kylegann.com/histune.html|An Introduction to Historical Tunings]] by Kyle Gann [[http://www.webcitation.org/5xe2pcAue|Permalink]] * [[http://lumma.org/tuning/gws/circ.html|Circulating Temperaments]] by Gene Ward Smith [[http://www.webcitation.org/5xemAJsWE|Permalink]] * [[http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html|Well v.s. Equal Temperament]] by Michael Rubinstein [[http://www.webcitation.org/5xemm0tvx|Permalink]] * [[http://www.piano-tuners.org/edfoote/well_tempered_piano.html|Six Degrees Of Tonality: The Well Tempered Piano]] by Edward Foote [[http://www.webcitation.org/5xenGg2uG|Permalink]] * [[http://www.rollingball.com/images/HT5.htm|Five Well Temperaments]] [[http://www.webcitation.org/5xenqAL9m|Permalink]]
Original HTML content:
<html><head><title>Circulating Temperaments</title></head><body>A <em>circulating temperament</em> is a <a class="wiki_link" href="/Periodic%20scale">periodic scale</a> with the property that for at least one <a class="wiki_link" href="/interval%20class">interval class</a>, all of the intervals in the class can be regarded as approximations of a single just interval, but which is not an equal temperament. In the best known examples, the interval approximated is a fifth and the scale has twelve notes to an octave.<br /> <br /> A circulating temperament is intermediate between an equal temperament, where all of the intervals in the class are tuned the same, and a MOS scale, where for a class containing a generator all but one of the intervals are tuned the same.<br /> <br /> One of the advantages of these tunings, is that because they are not quite equal, each chord (or key) has a slightly different character because the interval sizes have changed slightly.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Articles"></a><!-- ws:end:WikiTextHeadingRule:0 -->Articles</h1> <ul><li><a class="wiki_link_ext" href="http://www.kylegann.com/histune.html" rel="nofollow">An Introduction to Historical Tunings</a> by Kyle Gann <a class="wiki_link_ext" href="http://www.webcitation.org/5xe2pcAue" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://lumma.org/tuning/gws/circ.html" rel="nofollow">Circulating Temperaments</a> by Gene Ward Smith <a class="wiki_link_ext" href="http://www.webcitation.org/5xemAJsWE" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html" rel="nofollow">Well v.s. Equal Temperament</a> by Michael Rubinstein <a class="wiki_link_ext" href="http://www.webcitation.org/5xemm0tvx" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.piano-tuners.org/edfoote/well_tempered_piano.html" rel="nofollow">Six Degrees Of Tonality: The Well Tempered Piano</a> by Edward Foote <a class="wiki_link_ext" href="http://www.webcitation.org/5xenGg2uG" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.rollingball.com/images/HT5.htm" rel="nofollow">Five Well Temperaments</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xenqAL9m" rel="nofollow">Permalink</a></li></ul></body></html>