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22 equal temperament

Index 22 equal temperament

In music, 22 equal temperament, called 22-tet, 22-edo, or 22-et, is the tempered scale derived by dividing the octave into 22 equal steps (equal frequency ratios). [1]

33 relations: Augmented unison, Cent (music), Equal temperament, Five-limit tuning, James Murray Barbour, Just intonation, Limit (music), Major second, Major sixth, Major third, Minor third, Music of India, Musical temperament, Neutral interval, Neutral third, Paul Erlich, Perfect fifth, Perfect fourth, Robert Holford Macdowall Bosanquet, Semitone, Septimal chromatic semitone, Septimal comma, Septimal diatonic semitone, Septimal major third, Septimal meantone temperament, Septimal minor third, Septimal quarter tone, Septimal third tone, Septimal tritone, Septimal whole tone, Syntonic comma, 19 equal temperament, 7-limit tuning.

Augmented unison

In modern Western tonal music theory an augmented unison or augmented prime is the interval between two notes on the same staff position, or denoted by the same note letter, whose alterations cause them, in ordinary equal temperament, to be one semitone apart.

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Cent (music)

The cent is a logarithmic unit of measure used for musical intervals.

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Equal temperament

An equal temperament is a musical temperament, or a system of tuning, in which the frequency interval between every pair of adjacent notes has the same ratio.

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Five-limit tuning

Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument that obtains the frequency of each note by multiplying the frequency of a given reference note (the base note) by products of integer powers of 2, 3, or 5 (prime numbers limited to 5 or lower), such as.

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James Murray Barbour

James Murray Barbour (1897-1970) is an American acoustician, musicologist, and composer best known for his work Tuning and Temperament: A Historical Survey (1951, 2d ed. 1953).

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Just intonation

In music, just intonation (sometimes abbreviated as JI) or pure intonation is any musical tuning in which the frequencies of notes are related by ratios of small whole numbers.

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Limit (music)

In music theory, limit or harmonic limit is a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale.

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Major second

In Western music theory, a major second (sometimes also called whole tone) is a second spanning two semitones.

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Major sixth

In music from Western culture, a sixth is a musical interval encompassing six note letter names or staff positions (see Interval number for more details), and the major sixth is one of two commonly occurring sixths.

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Major third

In classical music from Western culture, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third is a third spanning four semitones.

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Minor third

In the music theory of Western culture, a minor third is a musical interval that encompasses three half steps, or semitones.

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Music of India

The music of India includes multiple varieties of classical music, folk music, filmi, Indian rock and Indian pop.

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Musical temperament

In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements.

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Neutral interval

In music theory, a neutral interval is an interval that is neither a major nor minor, but instead in between.

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Neutral third

A neutral third is a musical interval wider than a minor third but narrower than a major third, named by Jan Pieter Land in 1880; the name has been taken over by Alois Hába.

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Paul Erlich

Paul Erlich (born 1972) is a guitarist and music theorist living near Boston, Massachusetts.

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Perfect fifth

In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.

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Perfect fourth

In classical music from Western culture, a fourth spans exactly four letter names (staff positions), while a perfect fourth (harmonic series) always involves the same interval, regardless of key (sharps and flats) between letters. A perfect fourth is the relationship between the third and fourth harmonics, sounding neither major nor minor, but consonant with an unstable quality (additive synthesis). In the key of C, the notes C and F constitute a perfect fourth relationship, as they're separated by four semitones (C, C#, D, D#, E, F). Up until the late 19th century, the perfect fourth was often called by its Greek name, diatessaron. A perfect fourth in just intonation corresponds to a pitch ratio of 4:3, or about 498 cents, while in equal temperament a perfect fourth is equal to five semitones, or 500 cents. The perfect fourth is a perfect interval like the unison, octave, and perfect fifth, and it is a sensory consonance. In common practice harmony, however, it is considered a stylistic dissonance in certain contexts, namely in two-voice textures and whenever it appears above the bass. If the bass note also happens to be the chord's root, the interval's upper note almost always temporarily displaces the third of any chord, and, in the terminology used in popular music, is then called a suspended fourth. Conventionally, adjacent strings of the double bass and of the bass guitar are a perfect fourth apart when unstopped, as are all pairs but one of adjacent guitar strings under standard guitar tuning. Sets of tom-tom drums are also commonly tuned in perfect fourths. The 4:3 just perfect fourth arises in the C major scale between G and C.

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Robert Holford Macdowall Bosanquet

Robert Holford Macdowall Bosanquet (31 July 1841 – 7 August 1912) was an English scientist and music theorist, and brother of Admiral Sir Day Bosanquet, and philosopher Bernard Bosanquet.

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Semitone

A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically.

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Septimal chromatic semitone

In music, a septimal chromatic semitone or minor semitone is the interval 21:20.

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Septimal comma

A septimal comma is a small musical interval in just intonation that contains the number seven in its prime factorization.

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Septimal diatonic semitone

In music, a septimal diatonic semitone (or major diatonic semitone) is the interval 15:14.

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Septimal major third

In music, the septimal major third, also called the supermajor third (by Hermann Helmholtz among othersHermann L. F Von Helmholtz (2007). On the Sensations of Tone, p.187..) and sometimes Bohlen–Pierce third is the musical interval exactly or approximately equal to a just 9:7 ratioAndrew Horner, Lydia Ayres (2002).

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Septimal meantone temperament

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 temperament, with 31 equal temperament being a more or less optimal tuning for both the 5- and 7-limits.

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Septimal minor third

In music, the septimal minor third, also called the subminor third (e.g., by Ellis), is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies.

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Septimal quarter tone

A septimal quarter tone (in music) is an interval with the ratio of 36:35, which is the difference between the septimal minor third and the Just minor third, or about 48.77 cents wide.

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Septimal third tone

A septimal 1/3-tone (in music) is an interval with the ratio of 28:27, which is the difference between the perfect fourth and the supermajor third.

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Septimal tritone

A septimal tritone is a tritone (about one half of an octave) that involves the factor seven.

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Septimal whole tone

In music, the septimal whole tone, septimal major second, or supermajor second is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies.

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Syntonic comma

In music theory, the syntonic comma, also known as the chromatic diesis, the comma of Didymus, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (.

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19 equal temperament

In music, 19 equal temperament, called 19 TET, 19 EDO ("Equal Division of the Octave"), or 19 ET, is the tempered scale derived by dividing the octave into 19 equal steps (equal frequency ratios).

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7-limit tuning

7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between pitches is seven.

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Redirects here:

22 tone equal temperament, 22-TET, 22-et, 22-tone equal temperament, 22TET.

References

[1] https://en.wikipedia.org/wiki/22_equal_temperament

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