Circulating temperament: Difference between revisions

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**Imported revision 216522588 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 216522682 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 21:11:39 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 21:12:42 UTC</tt>.<br>
: The original revision id was <tt>216522588</tt>.<br>
: The original revision id was <tt>216522682</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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* [[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/~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 Foot[[http://www.webcitation.org/5xenGg2uG|Permalink]]</pre></div>
* [[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]]</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Circulating Temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;em&gt;circulating temperament&lt;/em&gt; is a &lt;a class="wiki_link" href="/Periodic%20scale"&gt;periodic scale&lt;/a&gt; with the property that for at least one &lt;a class="wiki_link" href="/interval%20class"&gt;interval class&lt;/a&gt;, 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.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Circulating Temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;em&gt;circulating temperament&lt;/em&gt; is a &lt;a class="wiki_link" href="/Periodic%20scale"&gt;periodic scale&lt;/a&gt; with the property that for at least one &lt;a class="wiki_link" href="/interval%20class"&gt;interval class&lt;/a&gt;, 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.&lt;br /&gt;
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&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 Foot&lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xenGg2uG" 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/~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;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 21:12, 2 April 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 genewardsmith and made on 2011-04-02 21:12:42 UTC.
The original revision id was 216522682.
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.

=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]]

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 />
<!-- 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/~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>