Detempering: Difference between revisions
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Cmloegcmluin (talk | contribs) clarify difference between detempering and neji |
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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 (called a [[transversal]]). 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]], the main difference being that a neji replaces an equal temperament's pitches with pitches from a single harmonic series. | It is a distinct concept from a [[Neji|quasi-equal rational tuning, or neji]], the main difference being that a neji replaces an equal temperament's pitches with pitches from a single harmonic series. | ||
Revision as of 08:43, 15 April 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 (called a transversal). 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, the main difference being that a neji replaces an equal temperament's pitches with pitches from a single harmonic series.