Detempering: Difference between revisions

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In [[regular temperament theory]], '''detempering''' is the process of taking a tempered pitch system and replacing each of its pitches with a nearby [[JI]] pitch. Specifically, a '''detempered scale''' or a '''detemperament''' has each pitch of a tempered scale (according to a fixed regular temperament) replaced with one JI interpretation of the pitch under the temperament map. Ideally the resultant JI pitch system will have low [[prime limit]] and a compact lattice.  
In [[regular temperament theory]], '''detempering''' is the process of taking a tempered pitch system and replacing each of its pitches with a nearby [[JI]] pitch. Specifically, a '''detempered scale''' or a '''detemperament''' has each pitch of a tempered scale (according to a fixed regular temperament) replaced with one JI interpretation of the pitch under the temperament map. Ideally the resultant JI pitch system will have low [[prime limit]] and a compact lattice.  


It is a distinct concept from a [[Neji|quasi-equal rational tuning, or neji]], for the purposes and methods are different.  
It is a distinct concept from a [[Neji|quasi-equal rational tuning, or neji]], as the purposes and methods are different.  


== Examples ==
== Examples ==

Revision as of 07:02, 31 March 2021

In regular temperament theory, detempering is the process of taking a tempered pitch system and replacing each of its pitches with a nearby JI pitch. Specifically, a detempered scale or a detemperament has each pitch of a tempered scale (according to a fixed regular temperament) replaced with one JI interpretation of the pitch under the temperament map. Ideally the resultant JI pitch system will have low prime limit and a compact lattice.

It is a distinct concept from a quasi-equal rational tuning, or neji, as the purposes and methods are different.

Examples