Circulating temperament: Difference between revisions

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>
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: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 21:19:52 UTC</tt>.<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/~mrubinst/tuning/tuning.html|Well v.s. Equal Temperament]] by Michael Rubinstein [[http://www.webcitation.org/5xemm0tvx|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.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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&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Articles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Articles&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Articles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Articles&lt;/h1&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.kylegann.com/histune.html" rel="nofollow"&gt;An Introduction to Historical Tunings&lt;/a&gt; by Kyle Gann &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe2pcAue" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://lumma.org/tuning/gws/circ.html" rel="nofollow"&gt;Circulating Temperaments&lt;/a&gt; by Gene Ward Smith &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xemAJsWE" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.math.uwaterloo.ca/~mrubinst/tuning/tuning.html" rel="nofollow"&gt;Well v.s. Equal Temperament&lt;/a&gt; by Michael Rubinstein &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xemm0tvx" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.piano-tuners.org/edfoote/well_tempered_piano.html" rel="nofollow"&gt;Six Degrees Of Tonality: The Well Tempered Piano&lt;/a&gt; by Edward Foote &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xenGg2uG" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.rollingball.com/images/HT5.htm" rel="nofollow"&gt;Five Well Temperaments&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xenqAL9m" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.kylegann.com/histune.html" rel="nofollow"&gt;An Introduction to Historical Tunings&lt;/a&gt; by Kyle Gann &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xe2pcAue" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://lumma.org/tuning/gws/circ.html" rel="nofollow"&gt;Circulating Temperaments&lt;/a&gt; by Gene Ward Smith &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xemAJsWE" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.math.uwaterloo.ca/%7Emrubinst/tuning/tuning.html" rel="nofollow"&gt;Well v.s. Equal Temperament&lt;/a&gt; by Michael Rubinstein &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xemm0tvx" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.piano-tuners.org/edfoote/well_tempered_piano.html" rel="nofollow"&gt;Six Degrees Of Tonality: The Well Tempered Piano&lt;/a&gt; by Edward Foote &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xenGg2uG" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.rollingball.com/images/HT5.htm" rel="nofollow"&gt;Five Well Temperaments&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xenqAL9m" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>