Regular temperament: Difference between revisions

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{{See also| Tour of Regular Temperaments}}
{{See also| Tour of Regular Temperaments}}


A '''regular temperament''' is, loosely, a JI interpretation of a scale or scales that are not JI, where the JI intervals are all chosen from a special set of JI intervals, called a [[subgroup]], which is "built out of" a chosen set of "basic" JI intervals. In other words, a temperament is an attempt to have certain intervals and chords in such a scale approximate a JI intervals and chords. The closer a scale is to the optimal tuning of a temperament, and the less mistuning a temperament requires, the more believable a temperament interpretation is.
A '''regular temperament''' is, loosely, a JI interpretation of a scale or scales that are not JI, where the JI intervals are all chosen from a special set of JI intervals, called a [[subgroup]], which is "built out of" a chosen set of "basic" JI intervals. In other words, a temperament is an attempt to have certain intervals and chords in such a scale approximate a JI intervals and chords. A temperament interpretation is more believable,
* the closer a scale is to the optimal tuning of the temperament,
* the less mistuning the temperament requires, and
* the more the JI ratios and chords in question withstand mistuning.


=Characterizing a regular temperament=
=Characterizing a regular temperament=