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 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 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.


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.