Detempering: Difference between revisions

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A higher rank temperament is also called a detempering of a lower-rank temperament if the lower-rank temperament results from tempering out one or more commas in the higher-rank temperament. For example, meantone is a detempering of 12edo.

The term ''detempering'' is often also used in a JI-agnostic way to refer to a scale which, when some subset of its step sizes are equated, "tempers" to a given simpler scale structure (with fewer step sizes). In this sense, [[diasem]] (LMLSLMLSL) is a detempering of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S. (Here the "temperaments" are JI-agnostic, being generated by abstract scale steps ~~and~~ the period.)

The term ''detempering'' is often also used in a JI-agnostic way to refer to a scale which, when some subset of its step sizes are equated, "tempers" to a given simpler scale structure (with fewer step sizes). In this sense, [[diasem]] (LMLSLMLSL) is a detempering of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S. (Here the "temperaments" are JI-agnostic, being generated by abstract scale steps with the constraint that a certain combination of them sums to the period.)

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.

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 A higher rank temperament is also called a detempering of a lower-rank temperament if the lower-rank temperament results from tempering out one or more commas in the higher-rank temperament. For example, meantone is a detempering of 12edo.
-The term ''detempering'' is often also used in a JI-agnostic way to refer to a scale which, when some subset of its step sizes are equated, "tempers" to a given simpler scale structure (with fewer step sizes). In this sense, [[diasem]] (LMLSLMLSL) is a detempering of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S. (Here the "temperaments" are JI-agnostic, being generated by abstract scale steps and the period.)
+The term ''detempering'' is often also used in a JI-agnostic way to refer to a scale which, when some subset of its step sizes are equated, "tempers" to a given simpler scale structure (with fewer step sizes). In this sense, [[diasem]] (LMLSLMLSL) is a detempering of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S. (Here the "temperaments" are JI-agnostic, being generated by abstract scale steps with the constraint that a certain combination of them sums to the period.)
 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.