Circulating temperament

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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 some targeted interval (such as a fixed just interval, or a generator of an 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.

Types

A circulating temperament may be classified by method as follows:

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