Circulating temperament: Difference between revisions
Wikispaces>guest **Imported revision 281279746 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 281416736 - Original comment: Reverted to Sep 5, 2011 4:38 pm: Vandalism** |
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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:genewardsmith|genewardsmith]] and made on <tt>2011-12-01 23:45:36 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>281416736</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>Reverted to Sep 5, 2011 4:38 pm: Vandalism</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">A //circulating temperament// is a [[ | <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">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. | 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. | ||
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* [[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]] | * [[http://www.rollingball.com/images/HT5.htm|Five Well Temperaments]] [[http://www.webcitation.org/5xenqAL9m|Permalink]]</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"><html><head><title>Circulating Temperaments</title></head><body>A <em>circulating temperament</em> is a <a class="wiki_link" href=" | <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"><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 /> | <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 /> | 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 /> | ||
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<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> | ||