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    Sound - Resonant Frequency and the Missing Fundamental

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    Problem 6. Assume that the outer ear canal is a cylincrical pipe 3 cm long, closed at one end by the eardum. Calculate the resonant frequency (fundamental, v1) of this pipe. Our hearing should be especially sensitive for frequencies near this resonance.

    Problem 7. A "tonic" chord in the musical key of A-major consists of tones with frequencies of 440, 550, and 660 Hz (A, C# and E). When such a chord is played on the piano or by three instruments, why is this not heard as a single tone with a pitch of 110 Hz (the "missing fundamental")?

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    This solution is provided in 211 words and provided in both .doc and .pdf format. It includes diagrams and discusses the fundamental mode in order to calculate fundamental frequency. Fourier transformer is also discussed in relation to the missing fundamental problem.

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