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Well, the excitation of the receptors happens according to their sinoidal components, and as long as no significant of energy is being dissipated in the hearing organs and attenuation responses (like the coupling in the middle ear) happen on a larger time scale than the vibration itself, the response of the various ear mechanics is essentially linear. And ...


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Something near 250 Hz is what you expect as 3 times the fundamental. If you draw pictures of a sinewave with no motion at the ends of the string, the 3 rd harmonic is the one with a peak in the middle at the same place as the fundamental, and also a peak (going opposite direction) at about 1/6 of the string length which is not far from the hole in the box, ...


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We hear harmonics because they are physically produced by the instrument; they are not "invented" as some sort of illusion. In fact, we often aren't consciously aware of them, though we can hear their effect on an instrument's timbre, or tone quality. They are caused because when an instrument such a string vibrates, it actually does so at more than one ...



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