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Harmonic

Harmonic Har*mon"ic, Harmonical Har*mon"ic*al, a. [L. harmonicus, Gr. ?; 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,

Harmonic Har*mon"ic, Harmonical Har*mon"ic*al, a. [L. harmonicus, Gr. ?; 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,

Harmonic

Harmonic Har*mon"ic, n. (Mus.) A musical note produced by a number of vibrations which is a multiple of the number producing some other; an overtone. See Harmonics.

Harmonic Har*mon"ic, n. (Mus.) A musical note produced by a number of vibrations which is a multiple of the number producing some other; an overtone. See Harmonics.

- 1st harmonic; the other harmonics are known as higher harmonics. As all harmonics are periodic at the fundamental frequency, the sum of harmonics is also...

- In mathematics, the harmonic mean is one of several kinds of average, and in particular, one of the Pythagorean means. It is sometimes appropriate for...

- In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional...

- functions known as harmonic motion . The motion of a Harmonic oscillator (in physics), which can be: Simple harmonic motion Complex harmonic motion Keplers...

- mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R , {\displaystyle...

- A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a fundamental...

- fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of orthogonal...

- Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency...

- In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: ∑ n = 1 ∞ 1 n = 1 + 1 2 + 1 3 + 1 4 + 1 5 + ⋯...

- In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion an object experiences by means of a restoring...

- In mathematics, the harmonic mean is one of several kinds of average, and in particular, one of the Pythagorean means. It is sometimes appropriate for...

- In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional...

- functions known as harmonic motion . The motion of a Harmonic oscillator (in physics), which can be: Simple harmonic motion Complex harmonic motion Keplers...

- mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R , {\displaystyle...

- A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a fundamental...

- fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of orthogonal...

- Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency...

- In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: ∑ n = 1 ∞ 1 n = 1 + 1 2 + 1 3 + 1 4 + 1 5 + ⋯...

- In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion an object experiences by means of a restoring...

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