Harmonic

A harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency, i.e. if the fundamental frequency is f, the harmonics have frequencies 2f, 3f, 4f, . . . etc. The harmonics have the property that they are all periodic at the fundamental frequency, therefore the sum of harmonics is also periodic at that frequency. Harmonic frequencies are equally spaced by the width of the fundamental frequency and can be found by repeatedly adding that frequency. For example, if the fundamental frequency is 25 Hz, the frequencies of the harmonics are: 50 Hz, 75 Hz, 100 Hz etc.

Other articles related to "harmonic, harmonics":

List Of Price Index Formulas - Unweighted Indexes - Ratio of Harmonic Means
... The ratio of harmonic means or "Harmonic means" price index is the harmonic average counterpart to the Dutot index ...
Harmonic Measure
... mathematics, especially potential theory, harmonic measure is a concept related to the theory of harmonic functions that arises from the solution of the classical Dirichlet problem ... In probability theory, harmonic measure of a bounded domain in Euclidean space, is the probability that a Brownian motion started inside a domain ... More generally, harmonic measure of an Itō diffusion X describes the distribution of X as it hits the boundary of D ...
Scale Of Harmonics - Origin
... The instrument is played with flageolet tones (harmonics) as well as pressing the strings on the wood ... The flageolets appear on the harmonic positions of the overtone series, therefore these positions are marked as the musical scale of this instrument ... The flageolet positions also represent the harmonic consonant relation of the pressed string part with the open string, similar to the calculations ...
Harmonic - Other Information
... Harmonics may be either used or considered as the basis of just intonation systems ... Composer Arnold Dreyblatt is able to bring out different harmonics on the single string of his modified double bass by slightly altering his unique bowing technique halfway between hitting and bowing the strings ... Composer Lawrence Ball uses harmonics to generate music electronically ...
Lawrence Ball - Harmonic Mathematics
... computer generated films to begin work on a branch of mathematics called harmonic mathematics in 1984 ... In the 1980s Ball developed a series of harmonic-math generated "timbral transforms" tones which produced compositions co-authored with Isobel McGilvray, and marketed as ShapeTapes ... From 1984, many of Ball's scores feature harmonic maths processes that he created without computer programs ...

Famous quotes containing the word harmonic:

For decades child development experts have erroneously directed parents to sing with one voice, a unison chorus of values, politics, disciplinary and loving styles. But duets have greater harmonic possibilities and are more interesting to listen to, so long as cacophony or dissonance remains at acceptable levels.
Kyle D. Pruett (20th century)