PHY2010 HW 4

1. If two sounds are identical then they have the same frequency spectra. If two sounds have the same frequency spectra do they necessarily have same waveform? Why or why not? Give an example to support your reasoning.

2. B&S Ch4 Q3: List six characteristics of musical sounds that have a bearing on their tone quality. State what each means, and give some examples in which each might be of use.

3. B&S Ch4 P4: A clarinet is a close tube, so only odd harmonics are produced in the lower register. With all holes covered, the clarinet sounds the note D3 = 146.83 Hz. If all the finger holes are kept closed, what will be the next frequency sounded if the clarinet is overblown?

4. B&S Ch4 P6: If the amplitude of the fundamental for a certain square wave is 3 volts, what are the amplitudes, in volts, of the next four existing harmonics? What are the harmonic numbers?

5. What are the frequencies and relative amplitudes of the first four component waves to a 200 Hz square wave? (Assume the fundamental has amplitude 1).