 | 1801 - 446 pages
...to the difference of the second and third, 33 the first is to the third ; and, in the latter, when the difference of the first and second is to the difference of the third and fourth as the first is to the fourth. Thus, 2, 3 and 6 ; and 3, 4, 6 and 9, are harmonical... | |
 | Isaac Dalby - 1806 - 526 pages
...b. If 3 numbers are in musical proportion, the first wilt he (o the third, as the difference between the first and second, is to the difference of the second and third. Let the first number be i ; Then the second will be * + a; And the third ............ i +«+/.. Whence,... | |
 | Samuel Webber - 1808 - 466 pages
...: : 3 : 9. Three or four numbers are said to be in harmonical proportion, when, in the former case, the difference of the first and second is to the difference of the second and third, as the first is to the third ; and, in the latter, when the difference of the first and second is to... | |
 | William Nicholson - 1809 - 752 pages
...with concord. HARMONICA!, proportion, or muñcal ртеportion, is that in which the first ten» is to the third, as the difference of the first and second is to the difference of Uie second and third ; or when the first, the third, and the said two differences, are in geometrical... | |
 | William Nicholson - 1809 - 700 pages
...geometrical proportion. Or, four terms are in harmonical proportion when the first is to thcfotutk as the difference of the first and second is to the difference of the third and fourth. Tha 2, 3, 6, are in harmonical proportion, becanse 2 : 6 :: 1 : S. And the four terms... | |
 | Edward Augustus Kendall - 1811 - 516 pages
...ordinary operation* of the musical art. HARMONICAL proportion, is that in which the first term is to the third, as the difference of the first and second, is to the difference of the second and third :-thus 2, 3, 6 are in harmonical proportion, because 2 : 6 : : 1 : 3. In four terms the 1st is to the... | |
 | Edward Augustus Kendall - 1811 - 458 pages
...ordinary operations of the musical art. HABMONICAL proportion, is that in which the first term is to the third, as the difference of the first and second, is to the difference of the second and third : thus 2, 3, 6 are in harmonica! proportion, because 2 : 6 : : 1 : 3. In four terms the 1st is to the... | |
 | Samuel Webber - 1812 - 260 pages
...to the difference of the second and third, as the first is to the third ; and, in the latter, when the difference of the first and second is to the difference of the third and fourth, as the first is to the fourth. Thus, 2, 3, and 6 ; and 3, 4, 6, and 9, are harmonical... | |
 | James Wood - 1815 - 338 pages
...of a, b and c. (380.) Three quantities are said to be in harmanical proportion, when the first is to the third, as the difference of the first and second is to the difference of the second and third. Any magnitudes A, B, C, D, E, &c. are said to be in harmonieal progression, if A : C :: A— B : BC,... | |
 | John Mason Good - 1819 - 694 pages
...part, contrajisiure (Winetnan). COXTRA-I-IARMOXICAL PROPORTION', tliat relation of three terms, wherein the difference of the first and second is to the difference of the second and third, as the third is to the first. To CONTRAINDÍCATE, va (contra and indico, Lat.) To point out some peculiar... | |
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WHEN three numbers are such that the first is to the third, as the difference of the first and second is to the difference of the second and third... 
