If the finger is placed at the midpoint of the string, the first overtone is heard, which is an octave above the fundamental note which would be played, had the harmonic not been sounded.
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For example, in the case of perfect fifth, the third harmonic ( i . e . second overtone ) of the bass note beats with the second harmonic ( first overtone ) of the other note.
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Because of inharmonicity, this first overtone is sharper than a harmonic octave ( which has the ratio of 2 / 1 ), making either the lower note flatter, or the higher note sharper, depending on which one is tuned relative to the other.
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By comparison, the first overtone of a vibrating string or metal bar is only one octave above ( twice ) the fundamental, so when the string is plucked or the bar is struck, its vibrations tend to be a mixture of the fundamental and overtone frequencies.
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