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 2*f*, 3*f*, 4*f*, . . . 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.

Read more about Harmonic: Characteristics, Harmonics and Overtones, Harmonics On Stringed Instruments, Other Information

### Other articles related to "harmonic, harmonics":

**Harmonic**- Other Information

...

**Harmonics**may be either used or considered as the basis of just intonation systems ... Composer Lawrence Ball uses

**harmonics**to generate music electronically ...

**Harmonic**s - 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 Pythagoras did on his monochord ...

**Harmonic**Means

... The ratio of

**harmonic**means or "

**Harmonic**means" price index is the

**harmonic**average counterpart to the Dutot index ...

**Harmonic**Mathematics

... 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 ...

**Harmonic**Measure

... In 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 hits a portion of the boundary ... More generally,

**harmonic**measure of an Itō diffusion X describes the distribution of X as it hits the boundary of D ...

### 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)