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Physics of Music and Sound

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Sound is created by vibrations of an object pushing air particles closer and further apart, formally known as compression and rarefaction. Shown to the left is a diagram of a sound wave; the high concentrated areas of particles are the compression regions which also are the areas of high air pressure. In contrast to this, the low concentrated areas of particles are known as rarefaction and here is where the lowest air pressure occurs and the wave is at its lowest point.
The wavelength (also known as the period of a graph) of a sound wave is the relationship between the initial frequency and the speed of sound. It is represented by this equation: When a frequency (rate of which a sound source vibrates) is higher it will generate a shorter wavelength because the sound source is vibrating at a faster speed. Meaning more complete back and forth vibrations are occurring in a quicker amount of time, whereas when the frequency is lower the wavelength is longer. Frequency is measured in hertz (Hz.) and to distinguish the frequency you need to know how many vibrations occur in an exact amount of time, for example if an object’s particles vibrate 256 times in one second, then the frequency is 256 Hz.
The frequency that an instrument creates is based on the length of how far the vibration can travel. Meaning for an instrument to produce different pitches and sounds, instruments need ways to change the vibrating length.
For a pipe instrument like a clarinet there are holes on the body of the pipe that the musician can cover and uncover with his/her fingers which change the length of the pipe and therefore change the frequency of the sound. Therefore if a clarinetist covers the first three holes of their clarinet than the effective length will be shorter than when all of the holes are covered, thus the length of effective pipe will be shorter therefore affecting the

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