Meantone: Difference between revisions

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'''Meantone''' is a familiar historical [[temperament]] based on a chain of fifths (or fourths)~~, which~~ is discussed in [[meantone family]] in the context of the associated family of temperaments~~, and in [[meantone vs meanpop]] in terms of 11-limit extensions~~.

'''Meantone''' is a familiar historical [[temperament]] based on a chain of fifths (or fourths). The more technical part is discussed in [[meantone family]] in the context of the associated family of temperaments.

== History ==

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[[Meantone intervals|Intervals in meantone]] have standard names based on the number of steps of the diatonic scale they span (this corresponds to the [[val]] {{val| 7 11 16 }}), with a modifier {…"double diminished", "diminished", "minor", "major", "augmented", "double augmented"…} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third.

=== Septimal meantone ===

'''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals starts to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord.

See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions.

== Tunings ==

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 {{Wikipedia|Meantone temperament}}
-'''Meantone''' is a familiar historical [[temperament]] based on a chain of fifths (or fourths), which is discussed in [[meantone family]] in the context of the associated family of temperaments, and in [[meantone vs meanpop]] in terms of 11-limit extensions.
+'''Meantone''' is a familiar historical [[temperament]] based on a chain of fifths (or fourths). The more technical part is discussed in [[meantone family]] in the context of the associated family of temperaments.
 == History ==
@@ Line 9: / Line 10: @@
 [[Meantone intervals|Intervals in meantone]] have standard names based on the number of steps of the diatonic scale they span (this corresponds to the [[val]] {{val| 7 11 16 }}), with a modifier {…"double diminished", "diminished", "minor", "major", "augmented", "double augmented"…} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third.
+=== Septimal meantone ===
+'''Septimal meantone''' or '''7-limit meantone''' is a natural extension of meantone which also addresses septimal intervals including but not limited to [[7/4]], [[7/5]], and [[7/6]]. By extending the [[circle of fifths]], consonant septimal intervals starts to appear. For example, 7/4 is represented by an augmented sixth and is notably present in the augmented sixth chord.
+See [[meantone vs meanpop]] for a comparison of undecimal (11-limit) extensions.
 == Tunings ==