But to grasp, in all its fulness, the new theory of musical consonance
some preliminary studies will be necessary. And here I would ask you to
call to mind the experiments (in Chapter III.) by which the division of
a string into its harmonic segments was illustrated. This was done by
means of little paper riders, which were unhorsed, or not, according
as they occupied a ventral segment or a node upon the string. Before
you at present is the sonometer, employed in the experiments just
referred to. Along it, instead of one, are stretched two strings, about
three inches asunder. By means of a key these strings are brought into
unison. And now I place a little paper rider upon the middle of one
of them, and agitate the other. What occurs? The vibrations of the
sounding string are communicated to the bridges on which it rests, and
through the bridges to the other string. The individual impulses are
very feeble, but, because the two strings are in unison, the impulses
can so accumulate as finally to toss the rider off the untouched string.
Every experiment executed with the riders and a single string may be
repeated with these two unisonant strings. Damping, for instance, one
of the strings, at a point one-fourth of its length from one of its
ends, and placing the red and blue riders formerly employed, not on the
nodes and ventral segments of the damped string, but at points upon the
second string exactly opposite to those nodes and segments, when the
bow is passed across the shorter segment of the damped string, the five
red riders on the adjacent string are unhorsed, while the four blue
ones remain tranquilly in their places. By relaxing one of the strings,
it is thrown out of unison with the other, and then all efforts to
unhorse the riders are unavailing. That accumulation of impulses,
which unison alone renders possible, cannot here take place, and the
consequence is that, however great the agitation of the one string may
be, it fails to produce any sensible effect upon the other.
The influence of synchronism may be illustrated in a still more
striking manner, by means of two tuning-forks which sound the same
note. Two such forks mounted on their resonant supports are placed upon
the table. I draw the bow vigorously across one of them, permitting
the other fork to remain untouched. On stopping the agitated fork, the
sound is enfeebled, but by no means quenched. Through the air and
through the wood the vibrations have been conveyed from fork to fork,
and the untouched fork is the one you now hear. When, by means of a
morsel of wax, a small coin is attached to one of the forks, its power
of influencing the other ceases; the change in the rate of vibration,
if not very small, so destroys the sympathy between the two forks as to
render a response impossible. On removing the coin the untouched fork
responds as before.
Public-domain text, read in full here on John Shaqi.
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