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A semitone is thus made of two steps, and three steps make a three-quarter tone or neutral second, half of a minor third. The 8-TET scale is composed of three-quarter tones. Four steps make a whole tone. Quarter tones and intervals close to them also occur in a number of other equally tempered tuning systems.
Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...
List of musical scales and modes Name Image Sound Degrees Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual ; 15 equal temperament
In music, the major fourth and minor fifth, also known as the paramajor fourth and paraminor fifth, are intervals from the quarter-tone scale, named by Ivan Wyschnegradsky to describe the tones surrounding the tritone (F ♯ /G ♭) found in the more familiar twelve-tone scale, [1] as shown in the table below:
The first to mention the comma's proportion of 531441:524288 was Euclid, who takes as a basis the whole tone of Pythagorean tuning with the ratio of 9:8, the octave with the ratio of 2:1, and a number A = 262144. He concludes that raising this number by six whole tones yields a value, G, that is larger than that yielded by raising it by an ...
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 .
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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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