NationMaster - 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

UNISON logo UNISON is the largest trade union in the United Kingdom, with over 1. ... A diesis is a musical interval. ... 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. ... A minor second is the smallest of three commonly occurring musical intervals that span two diatonic scale degrees; the others being the major second and the augmented second, which are larger by one and two chromatic semitones respectively. ... A major second is one of three commonly occuring musical intervals that span two diatonic scale degrees; the others being the minor second, which is one semitone smaller, and the augmented second, which is one semitone larger. ... A minor third is the smaller of two commonly occurring musical intervals that span three diatonic scale degrees. ... A minor third is the smaller of two commonly occurring musical intervals that span three diatonic scale degrees. ... A major third is the larger of two commonly occuring musical intervals that span three diatonic scale degrees. ... The perfect fourth or diatessaron, abbreviated P4, is one of two musical intervals that span four diatonic scale degrees; the other being the augmented fourth, which is one semitone larger. ... This article is about the musical interval. ... The augmented fourth between C and F# forms a tritone. ... This article is about the musical interval. ... The perfect fifth or diapente is one of three musical intervals that span five diatonic scale degrees; the others being the diminished fifth, which is one semitone smaller, and the augmented fifth, which is one semitone larger. ... An augmented fifth is one of three musical intervals that span five diatonic scale degrees. ... A minor sixth is the smaller of two commonly occuring musical intervals that span six diatonic scale degrees. ... The musical interval of a major sixth is the relationship between the first note (the root or tonic) and the sixth note in a Major scale. ... A seventh chord is a chord or triad which has a note the seventh above the tonic in it. ... An augmented sixth is one of three musical intervals that span six diatonic scale degrees. ... The musical interval of a minor seventh the first note (the root or tonic) and the seventh in a minor scale. ... The musical interval of a Major seventh the first note (the root or tonic) and the seventh, the leading tone, in a major scale. ... In music, an octave (sometimes abbreviated 8ve or 8va) is the interval between one musical note and another with half or double the frequency. ... The word diapason (pronounced ) is another name for the musical interval of the octave, especially in the context of Pythagorean intervals. ...