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. 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 replaces each pitch of a tempered scale (according to a fixed regular temperament) 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]], which takes the pitches directly from a mode of the harmonic series to approximate a tempered system. | It is a distinct concept from a [[Neji|quasi-equal rational tuning, or neji]], which takes the pitches directly from a mode of the harmonic series to approximate a tempered system. | ||
Revision as of 19:50, 30 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 replaces each pitch of a tempered scale (according to a fixed regular temperament) 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, which takes the pitches directly from a mode of the harmonic series to approximate a tempered system.