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Encyclopedia > Harmonic frequency

In acoustics and telecommunication, the harmonic of a wave is a component frequency of the signal that is an integral multiple of the fundamental frequency. For a sine wave, it is an integral multiple of the frequency of the wave. For example, if the frequency is f, the harmonics have frequency 2f, 3f, 4f, etc.


In musical terms, harmonics are component pitches of a harmonic tone which sound at whole number multiples above, or "within", the named note being played on a musical instrument. Non-whole number multiples are called partials or inharmonic overtones. It is the amplitude and placement of harmonics and partials which give different instruments different timbre (despite not usually being detected separately by the untrained human ear), and the separate trajectories of the overtones of two instruments playing in unison is what allows one to perceive them as separate. Bells have more clearly perceptible partials than most instruments.


Sample for a harmonic series:

1f 440 Hz fundamental tone first harmonic
2f 880 Hz first overtone second harmonic
3f 1320 Hz second overtone third harmonic

Amplitudes are varying.


In many musical instruments, it is possible to play the upper harmonics without the fundamental note being present. In a simple case (e.g. recorder) this has the effect of making the note go up in pitch by an octave; but in more complex cases many other pitch variations are obtained. In some cases it also changes the timbre of the note. This is part of the normal method of obtaining higher notes in wind instruments, where it is called overblowing. The extended technique of playing multiphonics also produces harmonics. On string instruments it is possible to produce very pure sounding notes, called harmonics by string players, which have an eerie quality, as well as being high in pitch which are located on the nodes of the strings. Harmonics may be used to check at a unison the tuning of strings which are not tuned to the unison. For example, lightly fingering the node found half way down the highest string of a cello produces the same pitch as lightly fingering the node 1/3 of the way down the second highest string. For the human voice see throat singing, which uses harmonics.


Harmonics may be used as the basis of just intonation systems or considered as the basis of all 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.


The fundamental frequency is the reciprocal of the period of the periodic phenomenon.


See also

Overtones, artificial harmonic, harmonic analysis, harmonic series (music), harmony, fundamental, pure tone, inharmonic, harmony, just intonation, xenharmonic, stretched octave


This article incorporates material from Federal Standard 1037C


External links

  • Bells worth listening to: A composer and a sculptor from Melbourne has developed harmonic bells (http://www.rmit.edu.au/browse/News%20and%20Events%2FNews%2FOpenline%2F2000%2FBells%20worth%20listening%20to/)

  Results from FactBites:
 
harmonic: Definition, Synonyms and Much More from Answers.com (1253 words)
In acoustics and telecommunication, the harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency.
Harmonics may be used to check at a unison the tuning of strings which are not tuned to the unison.
The fundamental frequency is the reciprocal of the period of the periodic phenomenon.
Understanding Harmonics (1910 words)
The second harmonic is two times the frequency of the fundamental, the third harmonics is three times the fundamental, and so on.
The natural frequencies of the string are determined by the ends of the string, which can't move.
Also, the number of the harmonic is equal to the reciprocal of the distance of the third node to the end of the string (i.e.
  More results at FactBites »

 
 

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