Definition of Harmanical
Har*mon"ic (här*m&obreve;n"&ibreve;k),
Har*mon"ic*al (-&ibreve;*kal), a.
[L. harmonicus, Gr. "armoniko`s; cf. F.
harmonique. See Harmony.] 1.
Concordant; musical; consonant; as, harmonic
sounds.
Harmonic twang! of leather, horn, and
brass. Pope.
2. (Mus.) Relating to harmony, -- as
melodic relates to melody; harmonious; esp., relating to the
accessory sounds or overtones which accompany the predominant and
apparent single tone of any string or sonorous body.
3. (Math.) Having relations or
properties bearing some resemblance to those of musical consonances;
-- said of certain numbers, ratios, proportions, points, lines,
motions, and the like.
Harmonic interval (Mus.), the
distance between two notes of a chord, or two consonant notes. -
- Harmonical mean (Arith. & Alg.),
certain relations of numbers and quantities, which bear an
analogy to musical consonances. -- Harmonic
motion, the motion of the point A, of the foot of the
perpendicular PA, when P moves uniformly in the circumference of a
circle, and PA is drawn perpendicularly upon a fixed diameter of the
circle. This is simple harmonic motion. The combinations, in
any way, of two or more simple harmonic motions, make other kinds of
harmonic motion. The motion of the pendulum bob of a clock is
approximately simple harmonic motion. --
Harmonic proportion. See under
Proportion. -- Harmonic series or
progression. See under Progression.
-- Spherical harmonic analysis, a mathematical
method, sometimes referred to as that of Laplace's
Coefficients, which has for its object the expression of an
arbitrary, periodic function of two independent variables, in the
proper form for a large class of physical problems, involving
arbitrary data, over a spherical surface, and the deduction of
solutions for every point of space. The functions employed in this
method are called spherical harmonic functions.
Thomson & Tait. -- Harmonic suture
(Anat.), an articulation by simple apposition of
comparatively smooth surfaces or edges, as between the two superior
maxillary bones in man; -- called also harmonia, and
harmony. -- Harmonic triad
(Mus.), the chord of a note with its third and fifth; the
common chord.
- Webster's Unabridged Dictionary (1913)
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