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Meantone temperament
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Meantone temperament is a musical tuning system. In meantone temperament the size of perfect fifths is reduced in order to improve the intonation of thirds. The system derives its name from the geomet
Figure 1. Comparison between Pythagorean tuning (blue), equal-tempered (black), quarter-comma meantone (red) and third-comma meantone (green). For eac
Figure 1. Comparison between Pythagorean tuning (blue), equal-tempered (black), quarter-comma meantone (red) and third-comma meantone (green). For each, the common origin is arbitrarily chosen as C. The values indicated by the scale at the left are deviations in cents with respect to equal temperament.
Wolf interval
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A wolf interval is audibly out of tune within a particular musical tuning system. A common example is the abnormally small fifth that results from the Pythagorean comma.
Meantone temperament
…caused by the failure to map meantone's infinite number of notes per octave to a finite number of piano keys. This is, for example, the source of the "wolf fifth". When choosing which notes to map to the piano's black keys, it is convenient to choose those notes that are common to a small number of closely related…
Figure 1: The Wicki isomorphic keyboard, invented by Kaspar Wicki in 1896.
Figure 1: The Wicki isomorphic keyboard, invented by Kaspar Wicki in 1896.
Figure 2: The syntonic temperament’s tuning continuum.
Figure 2: The syntonic temperament’s tuning continuum.