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单词 subdecuple
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subdecuple
f. Mathematics. Prefixed prepositionally to adjectives expressing ratio, with the sense ‘reciprocal to that expressed by the second element’, as subdecuple, subsesquitertial, subsuperparticular, etc. In later use chiefly in musical contexts. See also subduple adj.
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a1398 J. Trevisa tr. Bartholomaeus Anglicus De Proprietatibus Rerum (BL Add. 27944) (1975) II. xix. cxxv. 1362 Þe nombre submultiplex is ofte conteyned in þe more nombre, as oon is twies conteyned in tweyne.
1570 H. Billingsley tr. Euclid Elements Geom. v. f. 128 Comparing the lesse quantitie to the greater, it [sc. proportion] is called submultiplex, subsuperparticular, subsuperpartient, submultiplex superparticular, and submultiplex superpartient.
1598 I. D. tr. L. Le Roy Aristotles Politiques v. i. 250 (note) And the other way, as 3. are to 6. so be 4. to 8. which is subdouble proportion.
1652 T. Urquhart Εκσκυβαλαυρον sig. T8v It would bear the Analogy..of a subnovitripartient eights; that is to say..the whole being the Dividend, and my Nomenclature the Divisor, the quotient would be nine, with a fraction of three eights: or yet more clearly, as the Proportion of 72. to 675.
1685 J. Hawkins Cocker's Decimal Arithm. i. 4 By prefixing a Cypher or Figure on the left hand of a Decimal, so as actually to take place in the Decimal, its value is decreased in a subdecuple proportion.
1728 E. Chambers Cycl. (at cited word) 3 to 2 is in a Sesquialterate Ratio; 2 to 3 in a Subsesquialterate.
1795 T. Maurice Hist. Hindostan (1820) I. i. ii. 75 The length of human life is diminished..in a subdecuple ratio.
1819 J. M. Good et al. Pantologia (new ed.) at Ratio In the other case, if the exponent be 7/ 3, the ratio is called subsesquialterate; if 3/ 4, it is subsesquitertial.
1854 J. W. Moore Compl. Cycl. Music 414/2 All the values of the notes were imperfect, that is to say, in a double or sub-double ratio.
1967 Acta Musicologica 39 37 From left to right these numbers are transposed into submultiplex and subsuperparticular proportions.
2007 T. Dumitrescu Early Tudor Court & Internat. Musical Relations v. 202 A nonsensical combination of subsuperparticular and superpartient proportions.
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