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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.
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.
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.


=Articles=
== Articles ==
<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]]
 
[[Category:theory]]
* [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/%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.rollingball.com/images/HT5.htm Five Well Temperaments] [http://www.webcitation.org/5xenqAL9m Permalink]
 
[[Category:Theory]]
[[Category:Temperament]]
[[Category:Scale]]
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