The time which elapses from maximum to maximum, or from minimum to
minimum, is that required for the one fork to perform one vibration
more than the other. At present this time is about two seconds. In two
seconds, therefore, one beat occurs. When we augment the dissonance
by increasing the load, the rhythmic lengthening and shortening of
the band is more rapid, while the intermittent hum of the forks is
more audible. There are now six elongations and shortenings in the
interval taken up a moment ago by one; the beats at the same time being
heard at the rate of three a second. By loading the forks still more,
the alternations may be caused to succeed each other so rapidly that
they can no longer be followed by the eye, while the beats, at the
same time, cease to be individually distinct, and appeal as a kind of
roughness to the ear.
[Illustration: FIG. 157.]
In the experiments with a single tuning-fork, already described (Fig.
22, Chapter II.), the beam reflected from the fork was received on
a looking-glass, and, by turning the glass, the band of light on
the screen was caused to stretch out into a long wavy line. It was
explained at the time that the loudness of the sound depended on the
depth of the indentations. Hence, if the band of light of varying
length now before us on the screen be drawn out in a sinuous line,
the indentations ought to be at some places deep, while at others
they ought to vanish altogether. This is the case. By a little tact
the mirror of the fork T (Fig. 156) is caused to turn through a small
angle, a sinuous line composed of swellings and contractions (Fig. 157)
being drawn upon the screen. The swellings correspond to the periods
of sound, and the contractions to those of silence.[71]
Two vibrating bodies, then, each of which separately produces a musical
sound, can, when acting together, neutralize each other. Hence, by
quenching the vibrations of one of them, we may give sonorous effect to
the other. It often happens, for instance, that when two tuning-forks,
on their resonant cases, are vibrating in unison, the stoppage of one
of them is accompanied by an augmentation of the sound. This point
may be further illustrated by the vibrating bell, already described
(Fig. 78, Chapter IV.) Placing its resonant tube in front of one of
its nodes, a sound is heard, but nothing like what is heard when the
tube is opposed to a ventral segment. The reason of this is that the
vibrations of a bell on the opposite sides of a nodal line are in
opposite directions, and they therefore interfere with each other.
By introducing a glass plate between the bell and the tube, the
vibrations on one side of the nodal line may be intercepted; an instant
augmentation of the sound is the consequence.
§ 6. _Interference of Waves from a Vibrating Disk. Hopkins’s and
Lissajous’s Illustrations_
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