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Encyclopedia > List of meantone intervals

The following is a list of intervals of meantone temperament. These intervals constitute the standard vocabulary of intervals for the Western common practice era. Here 12-et refers to the size of the interval in equal temperament, and 50-et to the size in 50-equal temperament. The latter was chosen because it is a good meantone tuning, and like 12-et, makes all intervals come out to an integer number in terms of cents. The column of ratios gives a ratio or ratios approximated by the interval in septimal meantone temperament. An augmented interval is increased by a chromatic semitone, and a diminished interval decreased. Meantone temperament is a system of musical tuning. ... In music the common practice period is a long period in western musical history spanning from well before the classical era (as identified in much modern history of music), dated, on the outside, as 1600-1900. ... Equal temperament is a scheme of musical tuning in which an interval, usually the octave, is divided into a series of equal steps (equal frequency ratios). ... The cent is a logarithmic unit of measure used for musical intervals. ... In music, septimal meantone temperament, also called standard septimal meantone or simply septimal meantone, refers to the tempering of 7-limit musical intervals by a meantone temperament tuning in the range from fifths flattened by the amount of fifths for 12 equal temperament to those as flat as 19 equal... In music, a chromatic semitone is the amount by which any note is raised by the addition of a sharp, or lowered by the addition of a flat. ...

Cents in 12-et Cents in 50-et Name Ratios
0.00
0.00
Unison 1, 81/80, 126/125
0.00
48.0
Diminished second or Diesis 128/125, 36/35
100.0
72.0
Chromatic semitone 21/20, 25/24
100.0
120.0
Diatonic semitone 15/14, 16/15
200.0
192.0
Major second or tone 9/8, 10/9
200.0
240.0
Diminished third 8/7
300.0
264.0
Augmented second 7/6
300.0
312.0
Minor third 6/5
400.0
384.0
Major third 5/4
400.0
432.0
Diminished fourth 9/7
500.0
456.0
Augmented third 21/16
500.0
504.0
Perfect fourth 4/3
600.0
576.0
Augmented fourth or Tritone 7/5
600.0
624.0
Diminished fifth 10/7
700.0
696.0
Perfect fifth 3/2
700.0
744.0
Diminished sixth or Wolf fifth 32/21
800.0
768.0
Augmented fifth 14/9
800.0
816.0
Minor sixth 8/5
900.0
888.0
Major sixth 5/3
900.0
936.0
Diminished seventh 12/7
1000.0
960.0
Augmented sixth 7/4
1000.0
1008.0
Minor seventh 9/5, 16/9
1100.0
1080.0
Major seventh 15/8, 28/15
1200.00
1200.0
Octave or diapason 2

List of musical intervals Equal-tempered refers to 12-tone equal temperament. ...

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