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单词 pythagorean third
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Pythagorean third
2. Music. Also with lower-case initial. Designating a system of pitch-relationships attributed to Pythagoras and based on simple arithmetical ratios, for example those for the octave (2:1), fifth (3:2), and others derived from them. Hence: of or relating to the diatonic scale based on these; relating to any interval derivable from the same calculations, as Pythagorean hemitone, Pythagorean third. See also Pythagorean comma n. at Compounds.
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Pythagorean1653
diazeuctic1698
redundant1753
direct1828
parallel1876
1653 H. Moseley in Ld. Brouncker tr. R. Descartes Excellent Compend. Musick To Rdr. sig. a4v Please you, to understand Him to be such, as hath..swallowed the whole Theory of Musick; i. e. haveing profoundly speculated the Pythagorean Scheme of the various Sounds arising from various Hammers, beaten on an Anvill, respective to their different Weights.
1694 W. Holder Treat. Harmony vi. 152 The Pythagoreans, not using Tone Minor, but two Equal Tones Major, in a Fourth, were forced to take a lesser Interval for the Hemitone; which is call'd their Limma, or Pythagorean Hemitone.
1800 M. Young Anal. Princip. Nat. Philos. 291 This latter interval was anciently called the Pythagorean Hemitone, because the Pythagoreans did not use the minor tone.
1878 W. H. Stone Sci. Basis Music v. 52 The third of the Greek scale was made by four fifths taken upwards, and is still called a Pythagorean third.
1881 Musical Times Aug. 410/2 To the Greeks it [sc. the major third] was unpleasing, under most conditions, and in just or in pythagorean intonation.
1952 Galpin Soc. Jrnl. 5 37 A similar close correlation lies between the notes W and X..and the Pythagorean hemitone..which differ by only one-thirtieth of an equal-tempered semitone.
2008 Nature 8 May 161/3 A scale defined by pythagorean proportions in C will be increasingly out of tune the farther the key moves away from C.
extracted from Pythagoreann.adj.
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