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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A ''circulating temperament'' is a [[Periodic_scale|periodic scale]] with the property that for at least one [[Interval_class|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. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-01 23:45:40 UTC</tt>.<br>
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| : The original revision id was <tt>281416752</tt>.<br>
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| : The revision comment was: <tt>Reverted to Sep 5, 2011 4:38 pm: Vandalism</tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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.
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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. |
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| 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. | | 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. |
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| =Articles= | | =Articles= |
| * [[http://www.kylegann.com/histune.html|An Introduction to Historical Tunings]] by Kyle Gann [[http://www.webcitation.org/5xe2pcAue|Permalink]]
| | <ul><li>[http://www.kylegann.com/histune.html An Introduction to Historical Tunings] by Kyle Gann [http://www.webcitation.org/5xe2pcAue Permalink]</li><li>[http://lumma.org/tuning/gws/circ.html Circulating Temperaments] by Gene Ward Smith [http://www.webcitation.org/5xemAJsWE Permalink]</li><li>[http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html Well v.s. Equal Temperament] by Michael Rubinstein [http://www.webcitation.org/5xemm0tvx Permalink]</li><li>[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]</li><li>[http://www.rollingball.com/images/HT5.htm Five Well Temperaments] [http://www.webcitation.org/5xenqAL9m Permalink]</li></ul> [[Category:scale]] |
| * [[http://lumma.org/tuning/gws/circ.html|Circulating Temperaments]] by Gene Ward Smith [[http://www.webcitation.org/5xemAJsWE|Permalink]]
| | [[Category:theory]] |
| * [[http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html|Well v.s. Equal Temperament]] by Michael Rubinstein [[http://www.webcitation.org/5xemm0tvx|Permalink]]
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| * [[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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| * [[http://www.rollingball.com/images/HT5.htm|Five Well Temperaments]] [[http://www.webcitation.org/5xenqAL9m|Permalink]]</pre></div>
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| <h4>Original HTML content:</h4>
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| <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 />
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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 />
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| <br />
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| 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 />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Articles"></a><!-- ws:end:WikiTextHeadingRule:0 -->Articles</h1>
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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/%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>
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A circulating temperament is a 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