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单词 pythagorean comma
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Pythagorean comma
Pythagorean comma n. Music the difference in pitch between twelve intervals of a perfect pitch above a given note and seven octaves above the same note; an interval of this size.The ratio of the two frequencies is 531441:524288, or 312:219.
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1784 J. Keeble Theory of Harmonics ii. 125 In the same manner we may proceed to discover by these tables all other intervals, however remote: as for instance, the Pythagorean comma..which is a comparison of a multiple of the first root, with the fifth of the twelfth power.
1875 London, Edinb., & Dublin Philos. Mag. 4th Ser. 50 169 In one of these, which is preferred, all the fifths except one are perfect, the remaining one erring of course by a Pythagorean comma.
1963 Jrnl. Aesthetics 22 189 Pythagoreans are usually credited with dividing the octave by a fourth and a fifth, constructing a scale using the whole-tone 8:9, and discovering the ‘pythagorean comma’ or difference between 12 fifths and 7 octaves.
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