Circulating temperament
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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. =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/~mrubinst/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]]
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<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 /> <!-- 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/~mrubinst/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></ul></body></html>