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A bugle is simply a coiled length of pipe, without slides orvalves. One plays di

ID: 1736212 • Letter: A

Question

A bugle is simply a coiled length of pipe, without slides orvalves. One plays different notes on a bugle by buzzing one's lipsat different frequencies. a) How does thischange the pitch (frequency) of the sound the bugle makes?b) The bugle can play only certain pitchesand not others (for example, think of the piece "Taps," which isentirely constructed of only four different pitches). What arethese allowed pitches, and why are other pitches impossible?c) Imagine that certain bugle plays in C,so that the pitches in "Taps" are low G (196Hz), middle C (261 Hz),E (329Hz), and G (392Hz). How long would this bugle be ifuncoiled? (Hint: Is the bugle effectively a tube with two open endsor a tube with one open end and one closed end? Think about theimplications of either model. How could you get the pitches listedif the bugle is open at one end and closed at the other? d) Is thebugle a tube with two open ends or a tube with one open end and oneclosed end?

Explanation / Answer

Szarmes assigned some tough questions for us! Anyway, a) and b) aresimple. a) It changes the pitch because lips aren't buzzing at aconstant speed, so the pitch probably goes up and down a lot. Italso means that you can't reach certain pitches because your lipsjust can't buzz fast enough. b) The allowed pitches depend on thelength of the pipe and the speed of the buzzing. Other pitches areimpossible because you can't buzz fast enough so you would have toget a bugle made with a longer pipe. c) Use the fundamentalfrequency formula in the book for an open at one end and closed atthe other. d) It is open at one end and closed at the other becauseyour mouth is creating the wave, so it is closed on your mouth andit opens out at the other end. The wave does not come back intoyour mouth.