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 forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval ~~(such~~ as a fixed just interval, or an n-edo interval when the goal is to produce an unequal coloring of n-edo~~), 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 forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The circulating interval can be viewed as detuned versions of a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. 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.

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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 forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval ~~(such~~ as a fixed just interval, or an n-edo interval when the goal is to produce an unequal coloring of n-edo~~), 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 forming a closed circle within the tuning, hence the name), all of the intervals in the "circle" can be regarded as approximations of some targeted interval, but which is not an [[equal temperament]]. The circulating interval can be viewed as detuned versions of a fixed just interval (like a just perfect fifth), or an n-edo interval when the goal is to produce an unequal coloring of n-edo. 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.