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 ''deregularization'' ~~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 deregularization of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S.

The term ''deregularization'' can be used for a [[JI-agnostic]] alternative 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 deregularization of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S.

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 ''deregularization'' 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 deregularization of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S.
+The term ''deregularization'' can be used for a [[JI-agnostic]] alternative 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 deregularization of [[semiquartal]] (LSLSLSLSL) which "detempers" the S step of semiquartal into two steps sizes M and S.
 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.