Meantone: Difference between revisions

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== History ==

Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various [[~~Well Temperament~~]]s and eventually [[12edo|12-tone equal temperament]] won in popularity.

Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various [[well temperament]]s and eventually [[12edo|12-tone equal temperament]] won in popularity.

== Theory and classification ==

Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a [[Regular Temperaments|rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few cents narrower than pure. The rationale for narrowing the fifth is to temper out the syntonic comma. This means that stacking four fifths (such as C-G-D-A-E) results in a major third (C-E) that is close to just.

Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a [[Regular Temperaments|rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few cents narrower than pure. The rationale for narrowing the fifth is to temper out the [[syntonic comma]]. This means that stacking four fifths (such as C-G-D-A-E) results in a major third (C-E) that is close to just.

[[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.

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* [http://www.kylegann.com/histune.html An Introduction to Historical Tunings], by [[Kyle Gann]]

[[Category:Regular temperament theory]]

[[Category:Meantone| ]]

[[Category:~~Temperament~~]]

[[Category:Meantone family]]

[[Category:~~Theory~~]]

[[Category:Starling temperaments]]

[[Category:Marvel temperaments]]

~~{{todo|unify precision}}~~

[[de:Mitteltönig]]

@@ Line 3: / Line 3: @@
 == History ==
-Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various [[Well Temperament]]s and eventually [[12edo|12-tone equal temperament]] won in popularity.
+Meantone was the dominant tuning used in Europe from around late 15th century to around early 18th century, after which various [[well temperament]]s and eventually [[12edo|12-tone equal temperament]] won in popularity.
 == Theory and classification ==
-Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a [[Regular Temperaments|rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few cents narrower than pure. The rationale for narrowing the fifth is to temper out the syntonic comma. This means that stacking four fifths (such as C-G-D-A-E) results in a major third (C-E) that is close to just.
+Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a [[Regular Temperaments|rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few cents narrower than pure. The rationale for narrowing the fifth is to temper out the [[syntonic comma]]. This means that stacking four fifths (such as C-G-D-A-E) results in a major third (C-E) that is close to just.
 [[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.
@@ Line 392: / Line 392: @@
 * [http://www.kylegann.com/histune.html An Introduction to Historical Tunings], by [[Kyle Gann]]
+{{IoT}}
+[[Category:Regular temperament theory]]
 [[Category:Meantone| ]] <!-- main article -->
-[[Category:Temperament]]
+[[Category:Meantone family]]
-[[Category:Theory]]
+[[Category:Starling temperaments]]
+[[Category:Marvel temperaments]]
-{{todo|unify precision}}
 <!-- interwiki -->
 [[de:Mitteltönig]]