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The fundamental frequency is the lowest mode of vibration of a system. If you think of a taut string, the lowest mode with which it can vibrate is the one where the centre of the string travels the maximum distance up and down so the string forms a single arc. It is also possible for it to vibrate so that two arcs (one up and one down) fit into the string, and there are many more possibilities with higher frequencies. On a stringed instrument you can hear the fundamental frequency as the normal note which the string plays, and the others as overtones. Other systems exhibit the same phenomenon.

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