Definify.com
Webster 1913 Edition
Harmonical
Har-mon′ic
(här-mŏn′ĭk)
, Har-mon′ic-al
(-ĭ-kal)
Adj.
1.
Concordant; musical; consonant;
as,
. harmonic
soundsHarmonic
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 Harmonic 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 1828 Edition
Harmonical
HARMON'ICAL
,Adj.
1.
Concordant;musical; consonant; as harmonic sounds. Harmonic twang of leather, horn and brass.
The basis of an harmonic system.
The harmonic elements are the three smallest concords.
2.
An epithet applied to the accessary sounds which accompany the predominant and apparently simple tone of any chord or string.Harmonical mean, in arithmetic and algebra, a term used to express certain relations of numbers and quantities, which are supposed to bear an analogy to musical consonances.
Harmonical proportion, in arithmetic and algebra,is said to obtain between three quantities, or four quantities, in certain cases.
Harmonical series, a series of many numbers in continued harmonical proportion.