User:Zhenlige/Logical tempering: Difference between revisions

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Created page with "'''Logical tempering''' means using a regular temperament as a category system. For example, diatonic interval degrees are the result of logical tempering 3-limit into 7et, and chromatic degrees are the result of 12et."
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'''Logical tempering''' means using a [[regular 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''' 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]].
 
== 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.

Revision as of 17:29, 14 October 2026

Logical tempering 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 7et, and chromatic degrees are the result of 12et.

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 as the logical temperament. A piece using adaptive JI with that framework can be thought as a dynamic detempering of a piece in dominant.