Several dissimilar sets of pipes tuned to the same pitches

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Organs typically have several dissimilar sets of pipes tuned to the same pitches. The dissimilar sets of pipes, known as "stops," make different sounds. Imagine that an organ has a pipe in the Bourdon stop which is exactly tuned to middle C with a frequency of 261.63 Hz. However the middle C pipe in the Clarion stop produces a frequency which is a little low. When you play them together, you hear beating at5.87 Hz. Assuming that the beating is due to the fundamental modes of the two pipes, that the Clarion pipe is open at both ends, and that the speed of sound is 343 m/s, what length of pipe do we require to cut off of the Clarion pipe to get it in tune?

Reference no: EM13680561

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