Musical proportion
Proportion Pro*por"tion, n. [F., fr. L. proportio; pro before + portio part or share. See {Portion}.] [1913 Webster] 1. The relation or adaptation of one portion to another, or to the whole, as respect magnitude, quantity, or degree; comparative relation; ratio; as, the proportion of the parts of a building, or of the body. [1913 Webster]

The image of Christ, made after his own proportion. --Ridley. [1913 Webster]

Formed in the best proportions of her sex. --Sir W. Scott. [1913 Webster]

Documents are authentic and facts are true precisely in proportion to the support which they afford to his theory. --Macaulay. [1913 Webster]

2. Harmonic relation between parts, or between different things of the same kind; symmetrical arrangement or adjustment; symmetry; as, to be out of proportion. ``Let us prophesy according to the proportion of faith.'' --Rom. xii. 6. [1913 Webster]

3. The portion one receives when a whole is distributed by a rule or principle; equal or proper share; lot. [1913 Webster]

Let the women . . . do the same things in their proportions and capacities. --Jer. Taylor. [1913 Webster]

4. A part considered comparatively; a share. [1913 Webster]

5. (Math.) (a) The equality or similarity of ratios, especially of geometrical ratios; or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth; -- called also {geometrical proportion}, in distinction from arithmetical proportion, or that in which the difference of the first and second is equal to the difference of the third and fourth. [1913 Webster]

Note: Proportion in the mathematical sense differs from ratio. Ratio is the relation of two quantities of the same kind, as the ratio of 5 to 10, or the ratio of 8 to 16. Proportion is the sameness or likeness of two such relations. Thus, 5 to 10 as 8 to 16; that is, 5 bears the same relation to 10 as 8 does to 16. Hence, such numbers are said to be in proportion. Proportion is expressed by symbols thus: [1913 Webster] a:b::c:d, or a:b = c:d, or a/b = c/d. [1913 Webster] (b) The rule of three, in arithmetic, in which the three given terms, together with the one sought, are proportional. [1913 Webster]

{Continued proportion}, {Inverse proportion}, etc. See under {Continued}, {Inverse}, etc.

{Harmonical proportion} or {Musical proportion}, a relation of three or four quantities, such that the first is to the last as the difference between the first two is to the difference between the last two; thus, 2, 3, 6, are in harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24, 16, 12, 9, are harmonical, for 24:9::8:3.

{In proportion}, according as; to the degree that. ``In proportion as they are metaphysically true, they are morally and politically false.'' --Burke. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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• Proportion — Pro*por tion, n. [F., fr. L. proportio; pro before + portio part or share. See {Portion}.] [1913 Webster] 1. The relation or adaptation of one portion to another, or to the whole, as respect magnitude, quantity, or degree; comparative relation;… …   The Collaborative International Dictionary of English

• musical — musical, ale, aux [ myzikal, o ] adj. • 1380; de musique 1 ♦ Qui est propre, appartient à la musique. Son musical. Notation musicale. « Swann tenait les motifs musicaux pour de véritables idées » (Proust). ♢ Où il y a de la musique; qui concerne… …   Encyclopédie Universelle

• Musical — Mu sic*al, a. [Cf. F. musical.] Of or pertaining to music; having the qualities of music; or the power of producing music; devoted to music; melodious; harmonious; as, musical proportion; a musical voice; musical instruments; a musical sentence;… …   The Collaborative International Dictionary of English

• Musical box — Musical Mu sic*al, a. [Cf. F. musical.] Of or pertaining to music; having the qualities of music; or the power of producing music; devoted to music; melodious; harmonious; as, musical proportion; a musical voice; musical instruments; a musical… …   The Collaborative International Dictionary of English

• Musical fish — Musical Mu sic*al, a. [Cf. F. musical.] Of or pertaining to music; having the qualities of music; or the power of producing music; devoted to music; melodious; harmonious; as, musical proportion; a musical voice; musical instruments; a musical… …   The Collaborative International Dictionary of English

• Musical glasses — Musical Mu sic*al, a. [Cf. F. musical.] Of or pertaining to music; having the qualities of music; or the power of producing music; devoted to music; melodious; harmonious; as, musical proportion; a musical voice; musical instruments; a musical… …   The Collaborative International Dictionary of English

• PROPORTION — Le terme proportion désigne un concept mathématique qui appartient à l’héritage grec et dont l’application s’étend à tous les savoirs quantifiables. «Cette partie, écrivait justement le père J. Prestet dans ses Élémens de mathématiques (1675),… …   Encyclopédie Universelle

• Musical Instruments in Church Services — • History of their use, starting with the organ Catholic Encyclopedia. Kevin Knight. 2006. Musical Instruments in Church Services     Musical Instruments in Church Services …   Catholic encyclopedia

• Proportion dorée — Nombre d or  Pour l’article homonyme, voir Nombre d or (astronomie).  La proportion définie par a et b est dite d extrême et de moyenne raison lorsque a e …   Wikipédia en Français

• musical sound — Introduction       any tone with characteristics such as controlled pitch and timbre. The sounds are produced by instruments in which the periodic vibrations can be controlled by the performer.       That some sounds are intrinsically musical,… …   Universalium