The resonance of woodwindwoodwind brass instruments can be modeled after a closed cylindrical pipe and calculated by the equation f = (nv)/(4L)
where n
denotes the number of harmonics, v
the velocity of sound propagating in air, and L
the length of the pipe. For a trumpet that has tube length of about 1.4m, the resonating frequencies would be:
f = (nv)/(4L) = (343n)/(4*1.4) = 61.3n = 61Hz, 184Hz, 306Hz, 429Hz...
The sound of a trumpet ranges from [email protected]
up to [email protected]
. I tried as hard as I can vibrating (buzzing) my lips, but I can hardly get my mouth to vibrate more than perhaps a few tens Hz without getting sore. It's hard to believe, even with practice, that a person can possibly vibrate his lips hundreds of Hertz, let alone over a 1000Hz (or do they?).
Do woodwindwoodwind brass instrument players really vibrate their lips as quickly as the pipe resonates?