User:Zhenlige/Logical tempering: Difference between revisions

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'''Logical tempering'''{{idio}} means using a [[regular temperament]] (calles the '''logical temperament''') as a category system. For example, diatonic interval degrees are the result of logical tempering [[3-limit]] into [[7edo|7et]], and [[User:Zhenlige/Chromatic notation|chromatic degrees]] are the result of [[12edo|12et]].
'''Logical tempering'''{{idio}} means using a [[regular temperament]] (called the '''logical temperament''') as a category system. For example, diatonic interval degrees are the result of logical tempering [[3-limit]] into [[7edo|7et]], and [[User:Zhenlige/Chromatic notation|chromatic degrees]] are the result of [[12edo|12et]].


== Examples ==
== Examples ==
The conventional categorization of [[7-limit]] intervals treats [[5/4]] as a major third and [[7/4]] as a minor seventh, which implies [[dominant (temperament)|dominant]] as the logical temperament. A piece using [[adaptive JI]] with that framework can be thought as a dynamic [[detempering]] of a piece in dominant.
The conventional categorization of [[7-limit]] intervals treats [[5/4]] as a major third and [[7/4]] as a minor seventh, which implies [[dominant (temperament)|dominant]] as the logical temperament. A piece using [[adaptive JI]] with that framework can be thought as a dynamic [[detempering]] of a piece in dominant.