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Why does tightening a string on a guitar or violin cause the frequency of the sound produced by that string to increase? Tightening the string

Why does tightening a string on a guitar or violin cause the frequency of the sound produced by that string to increase? Tightening the string decreases the wavelength of the string's vibration. Tightening the string increases the linear mass density. Tightening the string does not actually change the frequency. Tightening the string increases the tension and therefore the wave speed and frequency of the vibration in the string

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