Sympathetic String Resonance in Music Instruments
Strings or parts of strings may resonate at their fundamental or harmonic frequencies when other strings are sounded. In general, non-played strings respond in sympathy to other strings being played. Two tones of the same pitch will give maximum sympathetic resonance as all harmonics of both strings will overlap. Other harmonic combinations will cause sympathetic resonance at the fifth, fourth and major third. For example, an A string at 440 Hz will cause an E string at 330 Hz to resonate, because they share an overtone of 1320 Hz (third overtone of A and fourth overtone of E).
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