So also in reference to the experiment made a moment ago with the
sonometer; you noticed that the unhorsing of the paper riders was
preceded by a fluttering of the bits of paper; showing that the
sympathetic response of the second string had begun, though feebly,
prior to perfect synchronism. Instead of two strings, conceive three
strings, all nearly of the same pitch, to be stretched upon the
sonometer; and suppose the vibrating period of the middle string to
lie midway between the periods of its two neighbors, being a little
higher than the one and a little lower than the other. Each of the side
strings, sounded singly, would cause the middle string to respond.
Sounding the two side strings together they would produce beats; the
corresponding intermittence would be propagated to the central string,
which would beat in synchronism with the beats of its neighbors. In
this way we make plain to our minds how a Corti’s fibre may, to some
extent, take up the vibrations of a note, nearly, but not exactly,
in unison with its own; and that when two notes close to the pitch
of the fibre act upon it together, their beats are responded to
by an intermittent motion on the part of the fibre. This power of
sympathetic vibration would fall rapidly on both sides of the perfect
unison, so that on increasing the interval between the two notes, a
time would soon arrive when the same fibre would refuse to be acted on
simultaneously by both. Here the condition of the organ, necessary for
the perception of audible beats, would cease.
In the middle region of the pianoforte, with the interval of a
semitone, the beats are sharp and distinct, falling indeed upon the
ear as a grating dissonance. Extending the interval to a whole tone,
the beats become more rapid, but less distinct. With the interval of a
minor third between the two notes, the beats in the middle region of
the scale cease to be sensible. But this smoothening of the sound is
not wholly due to the augmented rapidity of the beats. It is due in
part to the fact, for which the foregoing considerations have prepared
us, that the two notes here sounded are too far removed from that of
the intermediate Corti’s fibre to affect it powerfully. By ascending
to the higher regions of the scale we can produce, with a narrower
interval than the minor third, the same, or even a greater, number
of beats, which are sharply distinguishable because of the closeness
of their component notes. In the very highest regions of the scale,
however, the beats, when they become very rapid, cease to appeal as
roughness to the ear.
Public-domain text, read in full here on John Shaqi.
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