Detempering: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Inthar (talk | contribs)
mNo edit summary
Improve categories; remove the part which belongs to the page "neji"
Line 1: Line 1:
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.  
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]], for the purposes and methods are different.  


[[Category:Terms]]
[[Category:Terms]]
[[Category:Method]]
[[Category:Method]]
[[Category:Temperament]]
[[Category:Detemperament| ]] <!-- main article -->
[[Category:Todo:expand]]
[[Category:Circulating temperament]]
[[Category:Todo:add examples]]
 
{{todo| expand | add examples }}

Revision as of 06:09, 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 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, for the purposes and methods are different.