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In the quarter-tone scale, also called 24-tone equal temperament (24-TET), the quarter tone is 50 cents, or a frequency ratio of 24 √ 2 or approximately 1.0293, and divides the octave into 24 equal steps (equal temperament). In this scale the quarter tone is the smallest step.
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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. The name derives from the interval being the 7-limit approximation of a quarter tone .
Microtonality is the use in music of microtones — intervals smaller than a semitone, also called "microintervals".It may also be extended to include any music using intervals not found in the customary Western tuning of twelve equal intervals per octave.
Dialogue, for two pianos tuned a quarter-tone apart, eight hands, W.o.O. (1959) Dithyrambe, for two pianos tuned a quarter-tone apart, Op. 12 (1923–1924) Études sur les mouvements rotatoires, for two pianos tuned a quarter-tone apart, eight hands, Op. 45a.; for chamber orchestra, Op. 45c (1961)
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Surprisingly, although this tuning system was designed to produce purely consonant major thirds, only eight of the intervals that are thirds in 12 TET are purely just ( 5 : 4 or about 386.3 cents) in the truncated quarter comma shown on the table: The actual quarter-comma notes needed to start or end the interval of a third are missing from ...
The modern Arab tone system, or system of musical tuning, is based upon the theoretical division of the octave into twenty-four equal divisions or 24-tone equal temperament, the distance between each successive note being a quarter tone (50 cents). Each tone has its own name not repeated in different octaves, unlike systems featuring octave ...