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Encyclopedia > Beat (acoustics)

In acoustics, a beat is an interference between two sounds of slightly different frequencies, perceived as periodic variations in volume whose rate is the difference between the two frequencies. Acoustics is a branch of physics and is the study of sound, mechanical waves in gases, liquids, and solids. ... Interference of two circular waves - Wavelength (decreasing bottom to top) and Wave centers distance (increasing to the right). ... A schematic representation of hearing. ... Sine waves of various frequencies; the lower waves have higher frequencies than those above. ... Difference in arithmetic: see Subtraction Difference in computing: see Delta encoding Difference on a coat of arms: see Heraldry Difference as a state of being unlike others: see The set theoretic difference or complement See Gilles Deleuze and other See also: Comparison, Similarity (mathematics), Similarity (psychology) This is a disambiguation...


For example, if on a guitar (an electric one, so that the sound lasts longer) the two treblest strings, B and E, are plucked, the ear can hear the two notes separately, and realizes that the total sound is even pleasant. If the E string is loosened more and more, to lower its frequency down to the B, for some time one will be able continue to hear two sounds, more or less harmonic. When the two strings have the same frequency, of course one sound will be heard; but just before there will be a strange effect: one sound will be heard, but its volume will appear to change over time, now louder and now quieter. A guitar is a stringed musical instrument. ... A vibration in a string is a wave. ...

A 110 Hz A sine wave (magenta), a 104 Hz G# sine wave (cyan), their sum (blue), and the corresponding envelope (red)
A 110 Hz A sine wave (magenta), a 104 Hz G# sine wave (cyan), their sum (blue), and the corresponding envelope (red)

The reason of this phenomenon is tied to acoustics. If a graph is drawn to show the function corresponding to the total sound of two strings, it can be seen that maxima and minima are no longer constant as when a pure note is played, but change over time: when the two waves are nearly 180 degrees out of phase the maxima of each cancel the minima of the other, whereas when they are nearly in phase their maxima sum up, raising the perceived volume. Image File history File links Download high resolution version (485x604, 30 KB)A 110Hz A sine wave (magenta) and a 104Hz G# one (cyan). ... Image File history File links Download high resolution version (485x604, 30 KB)A 110Hz A sine wave (magenta) and a 104Hz G# one (cyan). ...


This isn't just a curiosity: it can be proven that the successive values of maxima and minima form a wave whose frequency equals the difference between the two starting waves. Let's demonstrate the simplest case, between two sine waves of equal amplitude: In trigonometry, an ideal sine wave is a waveform whose graph is identical to the generalized sine function y = Asin[ω(x − α)] + C, where A is the amplitude, ω is the angular frequency (2π/P where P is the wavelength), α is the phase shift, and C is the... Amplitude is a nonnegative scalar measure of a waves magnitude of oscillation, that is, magnitude of the maximum disturbance in the medium during one wave cycle. ...

If the two starting frequencies are quite close (usually differences of the order of few hertz), the frequency of the cosine of the right side of the expression above, that is (f1f2)/2 is too slow to be perceived as a pitch. Instead, it is perceived as a periodic variation of the sine in the expression above (it can be said, the cosine factor is an envelope for the sine wave), whose frequency is (f1+f2)/2, that is, the average of the two frequencies. Since the amplitude of that wave is , which in the period of (f1f2)/2 reaches values 2a and 0 twice, there will be two beats per such period. That is, the beating frequency is f1f2, the difference between the two starting frequencies. The hertz (symbol: Hz) is the SI unit of frequency. ... In music, pitch is the perception of the frequency of a note. ...


A physical interpretation is that when cosleft(2pifrac{f_1-f_2}{2}tright) equals one, the two waves are in phase and they interfere constructively. When it is zero, they are out of phase and interfere destructively. Beats occur also in more complex sounds, or in sounds of different volumes, though calculating them mathematically is not so easy. Interference of two circular waves - Wavelength (decreasing bottom to top) and Wave centers distance (increasing to the right). ...


When the two waves are in unison f = 0 and as the difference between f1 and f2 increases, the speed increases until beyond a certain proximity (usu. about 15 Hz) beating becomes undetectable and a roughness is heard instead, after which the two pitches are perceived as separate. UNISON logo UNISON is the largest trade union in the United Kingdom, with over 1. ...


Beating can also be heard between notes that are near to, but not exactly, a harmonic interval, due to some harmonic of the first note beating with a harmonic of the second note. For example, in the case of perfect fifth, the third harmonic (i.e. second overtone) of the bass note beats with the second harmonic (first overtone) of the other note. 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. ... In music theory, an interval is the relationship between two notes or pitches, the lower and higher members of the interval. ...


Musicians commonly use interference beats to objectively check tuning at the unison, perfect fifth, or other simple harmonic intervals. In music, tuning is the process of producing or preparing to produce a certain pitch in relation to another, usually at the unison but often at some other interval. ... UNISON logo UNISON is the largest trade union in the United Kingdom, with over 1. ... The perfect fifth or diapente is one of three musical intervals that span five diatonic scale degrees; the others being the diminished fifth, which is one semitone smaller, and the augmented fifth, which is one semitone larger. ...


The composer Alvin Lucier has written many pieces which feature interference beats as their main focus. A composer is a person who writes music. ... Alvin Lucier Alvin Lucier (born May 14, 1931) is an American composer of music and sound installations exploring acoustic phenomena, especially resonance, as well as a former member of the Sonic Arts Union along with Robert Ashley, David Behrman, and Gordon Mumma. ...


Binaural beats

Main article: binaural beats

Binaural beats are heard when the right ear listens to a slightly different tone than the left ear. Here, the tones do not interfere physically, but are summed by the brain in the olivary nucleus. This effect is related to the brain's ability to locate sounds in three dimensions. There are also those who believe that the beats can be used to "entrain" the brain to a desired state. Binaural beats or binaural tones are auditory processing artifacts, apparent sounds, the perception of which arises in the brain independent of physical stimuli. ... In anatomy, the olivary bodies or simply olives (Latin oliva) are a pair of prominent oval structures in the medulla oblongata, the lower portion of the brainstem. ...

  • Beating waveforms ( file info)
    • 220 Hz A3 (left channel) and 207.65 Hz G#3 (right channel) beating at 12.35 Hz
    • Problems listening to the file? See media help.

Image File history File links Beat. ...

See also


  Results from FactBites:
 
Beat (acoustics) - Wikipedia, the free encyclopedia (640 words)
In acoustics, a beat is an interference between two sounds of slightly different frequencies, perceived as periodic variations in volume whose rate is the difference between the two frequencies.
Beats occur also in more complex sounds, or in sounds of different volumes, though calculating them mathematically is not so easy.
Beating can also be heard between notes that are near to, but not exactly, a harmonic interval, due to some harmonic of the first note beating with a harmonic of the second note.
  More results at FactBites »


 

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