(153.) For example: sound consists in impulses communicated to our ears
by the air. If a series of impulses of equal force be communicated
to it at equal intervals of time, at first in slow succession, and
by degrees more and more rapidly, we hear at first a rattling noise,
then a low murmur, and then a hum, which by degrees acquires the
character of a musical note, rising higher and higher in acuteness,
till its pitch becomes too high for the ear to follow. And from
this correspondence between the pitch of the note and the rapidity
of succession of the impulse, we conclude that our sensation of
the different pitches of musical notes originates in the different
rapidities with which their impulses are communicated to our ears.
(154.) 6th, That such counteracting or modifying causes may subsist
unperceived, and annul the effects of the cause we seek, in instances
which, but for their action, would have come into our class of
favourable facts; and that, therefore, exceptions may often be made
to disappear by removing or allowing for such counteracting causes.
This remark becomes of the greatest importance, when (as is often the
case) a single striking exception stands out, as it were, against an
otherwise unanimous array of facts in favour of a certain cause.
(155.) Thus, in chemistry, the _alkaline_ quality of the alkaline
and earthy bases is found to be due to the presence of oxygen
combined with one or other of a peculiar set of metals. Ammonia is,
however, a violent outstanding exception, such as here alluded to,
being a compound of azote and hydrogen: but there are almost certain
indications that this exception is not a real one, but assumes that
appearance in consequence of some modifying cause not understood.
Public-domain text, read in full here on John Shaqi.
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