Circulating temperament: Difference between revisions
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A '''circulating temperament''' is a scale with the property that for at least one [[interval class]] (the interval class is viewed as a circle of "generators" within the tuning), all of the intervals in the class can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo 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 scale with the property that for at least one [[interval class]] (the interval class is viewed as a circle of "generators" within the tuning, hence the name), all of the intervals in the class can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo 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. | ||
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. | ||
Revision as of 15:42, 31 March 2021
A circulating temperament is a scale with the property that for at least one interval class (the interval class is viewed as a circle of "generators" within the tuning, hence the name), all of the intervals in the class can be regarded as approximations of some targeted interval (such as a fixed just interval, or an edo 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.
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.
Types
A circulating temperament may be classified by method as follows: