The resonance of
woodwind 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?).
woodwind brass instrument players really vibrate their lips as quickly as the pipe resonates?