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3-limit Tuning And Intervals
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all interval (music), intervals are determined by choosing a sequence of Perfect fifths, fifthsBruce Benward and Marilyn Nadine Saker (2003). ''Music: In Theory and Practice'', seventh edition, 2 vols. (Boston: McGraw-Hill). Vol. I: p. 56. which are "Five-limit tuning#The justest ratios, pure" or perfect fifth, perfect, with ratio 3:2. This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2:1), and hence is the next most consonance and dissonance, consonant "pure" interval, and the easiest to tune by ear. As Novalis put it, "The musical proportions seem to me to be particularly correct natural proportions." Alternatively, it can be described as the tuning of the Regular diatonic tuning#Syntonic temperament and timbre, syntonic temperament in which the generator (music), generator is the ratio Perfect fifth, 3:2 (i.e., the untempered perfe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Syntonic Tuning Continuum
In music theory, the syntonic comma, also known as the chromatic diesis, the Didymean comma, the Ptolemy, Ptolemaic comma, or the diatonic comma is a small Comma (music), comma type interval (music), interval between two musical notes, equal to the frequency ratio (= 1.0125) (around 21.51 cent (music), cents). Two notes that differ by this interval would sound different from each other even to untrained ears, but would be close enough that they would be more likely interpreted as out-of-tune versions of the same note than as different notes. The comma is also referred to as a ''Didymean comma'' because it is the amount by which Didymus the Musician, Didymus corrected the Pythagorean interval, Pythagorean major third (, around 407.82 cents) to a just intonation, just / harmonic series (music), harmonicly consonant major third (, around 386.31 cents). The word "comma" came via Latin from Greek , from earlier = "a thing cut off", or "a hair", as in "off b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
