It can be shown that any arbitrarily complex vibration of the membrane can be decomposed into a possibly infinite series of the membrane's normal modes.
2.
The new insights center on how jets, eddies and waves of air pressure come together at the heart of such wind instruments to form the complex vibrations heard as agreeable tones.
3.
Resonant systems can be used to generate vibrations of a specific frequency ( e . g ., musical instruments ), or pick out specific frequencies from a complex vibration containing many frequencies ( e . g ., filters ).
4.
Moreover, when Bell heard the rich overtones of the plucked reed, it occurred to him that since the circuit was never broken, all the complex vibrations of speech might be converted into undulating ( modulated ) currents, which in turn would reproduce the complex timbre, amplitude, and frequencies of speech at a distance.
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