Author: alto gether
Date: 2014-04-29 10:19
Air in a cylinder closed at one end vibrates with a node at the closed end and an antinode at the open end, so it can vibrate as 1/4, 3/4, 5/4 . . . of a wave.
Therefore the second register is 3x the frequency = a twelfth above the first.
In a conical pipe, antinode at each end gives 1/2, 1, 3/2 . . . waves and the second register is 2x = an octave above the first. This is also the reason a clarinet is about an octave lower than an oboe or sax of the same length.
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