. Biophysical science. Biophysics. 2/ Sound and the Ear Fundamental 1st Overtone v- ^^ -^ 2nd Harmonic 2nd Overtone 3rd Overtone. Fundamental 3r Harmonic 4 Harmonic vn ft c 21 2c 21 3c 21 4c 21 â in? sin^f sin^f sin*f Figure 3. Resonances of strings. The characteristic or reso- nant frequency is wn and the characteristic or eigenfunction is ipn. The displacement can be described by y = ZMne±iw" where the An 's are the amplitudes. The wave velocity where T is the tension and e is the mass per unit length. V) n Fundamental Fundamental Al 4r +n sing ^XT"^ ft Overtone 3rd Harmonic fZ Jf
. Biophysical science. Biophysics. 2/ Sound and the Ear Fundamental 1st Overtone v- ^^ -^ 2nd Harmonic 2nd Overtone 3rd Overtone. Fundamental 3r Harmonic 4 Harmonic vn ft c 21 2c 21 3c 21 4c 21 â in? sin^f sin^f sin*f Figure 3. Resonances of strings. The characteristic or reso- nant frequency is wn and the characteristic or eigenfunction is ipn. The displacement can be described by y = ZMne±iw" where the An 's are the amplitudes. The wave velocity where T is the tension and e is the mass per unit length. V) n Fundamental Fundamental Al 4r +n sing ^XT"^ ft Overtone 3rd Harmonic fZ Jf sin 37TX 21 XX] 2nd Overtone 5th Harmonic fl ff sin5^ 5 41 ^t Figure 4. Particle velocity for various overtones of a closed- end organ pipe. See Figure 3 for definition of the symbols. When the particle velocity has a node, the acoustic pressure has an anti-node, and conversely. The external ear canal re- sembles a closed-end organ pipe with a fundamental around 3 Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Ackerman, Eugene, 1920-. Englewood Cliffs, N. J. , Prentice-Hall
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