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Although the mouthpiece end of a trumpet may seem closed, it is open.Think
of it this way... the characteristic of an open end is a pressure node...
i.e. constant pressure.
The lips are vibrating in the proper phasethat
relationship with the reflected wave to maintain a constant pressure at
point. When pressure from the reflected wave is not available the lipsopen
and the pressure is maintained by the pressure in the players mouth. When
back pressure from the reflected wave is available, the lips close.