Author: Mario
Date: 2001-07-24 21:42
Hello Ken:
Almost right. Oboe and saxophones are also closed-tube. But they are conical ones (while the clarinet is a cylindrical closed-tube).
The reason opened tubes (flutes) and conical closed-tubes (oboe, saxes) behave the same way have no metaphorical explanations that I know (somebody out there as one?).
If you look at the math, you see that the energy disssipation in a closed cylindre is linear (proportional to the length of the tube), while in a cone it is a power of two (proportional to the area of the place).
But, it turns out that the resulting wave function (after much mathematical gyrations) look the same in a cylindrical open tube and in a closed conical tube.
By the way, there is no stable wave functions for conical open tubes, which is why the flute has no conical equivalent the way clarinets, saxes and oboe are related.
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The Clarinet BBoard
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