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12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.
In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements. Most modern Western musical instruments are tuned in the equal temperament system. Tempering is the process of altering the size of an interval by making it narrower or wider than pure.
12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).
Quarter tones have their roots in the music of the Middle East and more specifically in Persian traditional music. [1] However, the first evidenced proposal of the equally-tempered quarter tone scale, or 24 equal temperament , was made by 19th-century music theorists Heinrich Richter in 1823 [ 2 ] and Mikhail Mishaqa about 1840. [ 3 ]
Nowadays, with the advent of electronic isomorphic keyboards, equal temperament tunings with more than twelve notes per octave can be used to close the circle of fifths for other tunings. For example, 31-tone equal temperament closely approximates quarter-comma meantone, and 53-tone equal temperament closely approximates Pythagorean tuning.
Although the 72 equal temperament is based on irrational intervals (see above), as is the 12 tone equal temperament (12 EDO) mostly commonly used in Western music (and which is contained as a subset within 72 equal temperament), 72 equal temperament, as a much finer division of the octave, is an excellent tuning for both representing the ...
The standard tuning system used in Western music is twelve-tone equal temperament tuning, where the octave is divided into 12 equal semitones. In this system, written notes that produce the same pitch, such as C ♯ and D ♭, are called enharmonic. In other tuning systems, such pairs of written notes do not produce an identical pitch, but can ...
In music, 41 equal temperament, abbreviated 41-TET, 41-EDO, or 41-ET, is the tempered scale derived by dividing the octave into 41 equally sized steps (equal frequency ratios). Play ⓘ Each step represents a frequency ratio of 2 1/41 , or 29.27 cents ( Play ⓘ ), an interval close in size to the septimal comma .
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