Hearing
an Orchestra
Very simple sound waves, or waves in general, have
a specific height, or amplitude, and specific
wavelength. Amplitude correlates to how loud a
sound is and the wavelength corresponds to the pitch
of sound with shorter wavelength having higher pitches
and longer wavelengths having lower pitches.
Wavelengths can also be thought of in terms of
frequency or how many times per second a wave goes
by. This is the frequency of the wave is the
common unit, called Hertz, used when referring to
sound waves and the human ear can discern air
vibrations between 20 Hertz and 20,000 Hertz allowing
for a large combination sounds.
Image courtesy of TutorVista.com
The question remains of how out of one speaker
humans can hear an entire symphony of
instruments. The fact that a speaker can produce
so many different sounds relies on one principle which
is the superposition of waves. As can be seen in
the below image, when two waves come into contact they
overlap and add and subtract accordingly which is
called superposition.
Image courtesy of Boundless.com and animation courtesy
of Dan Russel at Pennsylvania State University
The animation can be thought of two speaker sitting
opposite of each other producing a single wave which
then connect to create one large wave. The image
on the left shows two waves traveling in the same
direction which combine together to create one more
complex wave. It is the resulting combination of
waves that is played by the speaker which allows for
multiple sounds to be created. As more
individual sound waves are added together, the
resulting wave becomes more and more complex but the
speaker is still move up and down according to how the
complex wave moves up and down. The most amazing
outcome is that human ears can still discern each
individual sound, such as hearing both violins and
piano from an orchestra recording.
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