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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.
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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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 .
Brian Ferneyhough (Great Britain, b. 1943, quarter tones, 31ET in Unity Capsule for solo flute, 1976; quarter tones and eighth tones in La Chute d'Icare, 1988) Jukka Tiensuu (Finland, b. 1948, quarter tones, non equal temperament tunings) Mathius Shadow-Sky (France, b. 1961, introduces acyclic nonoctave scales in 1980) [111]
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