User:Zhenlige/Logical tempering

Logical tempering^{[idiosyncratic term]} means using a regular temperament (called the logical temperament) as a category system. Different from “real” tempering, a temperament with torsion is allowed. 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.