When beats occur at a rate higher than about 20 per second, they are not heard individually but rather as a steady hum, called a
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When beats occur at a rate higher than about 20 per second, they are not heard individually but rather as a steady hum, called a combination tone. The player of a typical pipe organ can press a single key and make the organ produce sound with different fundamental frequencies. She can select and pull out different stops to make the same key for the note C produce sound at the following frequencies:
65.4 Hz from a so-called eight-foot pipe; 2 X 65.4 = 131 Hz from a four-foot pipe; 3 X 65.4 = 196 Hz from a two-and-two-thirds-foot pipe; 4 X 65.4 = 262 Hz from a two-foot pipe; or any combination of these. With notes at low frequencies, she obtains sound with the richest quality by pulling out all the stops. When an air leak develops in one of the pipes, that pipe cannot be used. If a leak occurs in an eight-foot pipe, playing a combination of other pipes can create the sensation of sound at the frequency that the eight-foot pipe would produce. Which sets of stops, among those listed, could be pulled out to do this?
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Using the 4 and 2foot pipes produces actual frequencies of 131 Hz and 196 Hz and a co... View full answer

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