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Quarter tone on C. A quarter tone is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide (orally, or logarithmically) as a semitone, which itself is half a whole tone. Quarter tones divide the octave by 50 cents each, and have 24 different pitches.
The actual notes in a fully implemented quarter-comma scale (requiring about 31 keys per octave instead of only 12) would be consonant, like all of the uncolored intervals: The dissonance is the consequence of replacing the correct quarter-comma notes with wrong notes that happen to be assigned to the same key on the 12 tone keyboard. As ...
The following is a list of intervals of extended meantone temperament.These intervals constitute the standard vocabulary of intervals for the Western common practice era. . Here 12 EDO refers to the size of the interval in the temperament with 12 equal divisions of the octave, which is the most common meantone temperament in the modern era, 19 EDO to 19 equal temperament, 31 EDO to 31 equal ...
If the generators are all the prime numbers up to a given prime p, we have what is called p-limit just intonation.Sometimes some irrational number close to one of these primes is substituted (an example of tempering) to favour other primes, as in twelve tone equal temperament where 3 is tempered to 2 19 ⁄ 12 to favour 2, or in quarter-comma meantone where 3 is tempered to 2 4 √ 5 to favor ...
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 ...
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 .