# Associations to the word «Harmonic»

## Wiktionary

HARMONIC, adjective. Pleasant to hear; harmonious; melodious
HARMONIC, adjective. (mathematics) used to characterize various mathematical entities or relationships supposed to bear some resemblance to musical consonance
HARMONIC, noun. (physics) a component frequency of the signal of a wave that is an integer multiple of the fundamental frequency
HARMONIC ANALYSIS, noun. (analysis) A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others.
HARMONIC ANALYZER, noun. An instrument used to measure the amplitudes, frequencies and phases of the components of a nonsinusoidal waveform; especially one used for analyzing audio frequencies.
HARMONIC BOUNDING, noun. (linguistics) (Optimality Theory) A situation where one input to output mapping pair receives a set of constraint violations that is a proper subset of the set of constraints violations received by a different input-output pair.
HARMONIC FUNCTION, noun. (mathematics) A function of two, three or n variables which is a solution to any of Laplace's equations
HARMONIC FUNCTIONS, noun. Plural of harmonic function
HARMONIC MEAN, noun. (mathematics) A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie, $$H = { n \over {1 \over x_1} + {1 \over x_2} + \cdots {1 \over x_n} }$$
HARMONIC MINOR SCALE, noun. (music) a minor scale with the 3rd and 6th notes lowered by one semitone, but the 7th remains the same
HARMONIC MINOR SCALES, noun. Plural of harmonic minor scale
HARMONIC NUMBER, noun. (number theory) Any of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers
HARMONIC NUMBERS, noun. Plural of harmonic number
HARMONIC OSCILLATOR, noun. (classical mechanics) A system which, when displaced from its equilibrium position, experiences a restoring force $$F$$ proportional to the displacement $$x$$ according to Hooke's law: $$F = -k x \,$$, where $$k$$ is a positive constant.
HARMONIC OSCILLATORS, noun. Plural of harmonic oscillator
HARMONIC SERIES, noun. (mathematics) (analysis) The divergent series whose terms are reciprocals of successive natural numbers starting with 1. In symbols: $$\sum_{n=1}^\infty \frac 1 n$$.
HARMONIC SERIES, noun. (music) The sequence of all multiples of a base frequency.
HARMONIC TREMOR, noun. (geology) A rhythmic shaking of the ground detectable by a seismograph, and associated with volcanic activity. Often a symptomatic warning of an eruption.

## Dictionary definition

HARMONIC, noun. A tone that is a component of a complex sound.
HARMONIC, noun. Any of a series of musical tones whose frequencies are integral multiples of the frequency of a fundamental.
HARMONIC, adjective. Of or relating to harmony as distinct from melody and rhythm; "subtleties of harmonic change and tonality"- Ralph Hill.
HARMONIC, adjective. Of or relating to harmonics.
HARMONIC, adjective. Of or relating to the branch of acoustics that studies the composition of musical sounds; "the sound of the resonating cavity cannot be the only determinant of the harmonic response".
HARMONIC, adjective. Relating to vibrations that occur as a result of vibrations in a nearby body; "sympathetic vibration".
HARMONIC, adjective. Involving or characterized by harmony.

## Wise words

One word frees us of all the weight and pain of life. That word is love.
Sophocles