If we dissociate the stream of consciousness in this way, breaking it
up into states which we choose to regard as separate from each other,
we shall see that of the elements which we thus isolate many are
like each other and can be associated. Obviously there is a greater
resemblance between different smells than between smells and sounds.
Different musical sounds are more like each other than are sounds, and
feelings of heat and cold. There is a greater likeness between the
states of consciousness which arise from the stimulation of the same
receptor organ, than between those that arise from the stimulation
of different receptors. Those differences of sensation accompanying
the stimulation of different sense organs we regard as different in
kind; there is absolutely no resemblance between a colour and a sound,
we say, however much the modern annotator of concert programmes may
suggest the analogy. But we say that there may be different degrees of
stimulation of the same sense organ, and that the sensations that we
thus receive are of the same kind though they differ in intensity. The
whistle of a railway engine becomes louder as the train approaches,
that is to say, more intense, and if we study the physical conditions
that are concomitant with the stimulation of our tympanic membranes
we shall see that waves of alternate rarefaction and compression are
set up in the atmosphere outside our ears. All the time that the train
approaches the frequency of these waves remains the same, that is, just
as many occur in a second when the train is distant as when it is near.
But the amplitude of the waves has been increasing, and the velocity
with which the molecules of air strike against the tympanic membranes
becomes greater the nearer is the source of sound. We can represent
this by means of a diagram which shows that the amplitude of the
waves--which represents the loudness of the sound--increases while the
frequency--which represents the pitch--remains the same. The amplitude
is represented by the straight vertical lines, 11, 22, 33, etc.,
which are of increasing magnitude. Thus we represent the physical
cause of the increasing loudness of the sound by space-magnitudes,
and then we transfer these magnitudes to the states of consciousness
concomitant with the vibrating molecules of air. Suppose that we knew
nothing at all about the cause of the differences of pitch of musical
sounds and that we listen to the notes of the octave, C, D, E,----C,
sounded by an organ; all that we should experience would be that the
sounds were different. If we were to sing the notes we might attain
the intuition that the notes G, A, B were “higher” than the notes C,
D, E, because a greater effort was required in order to produce these
sounds, but obviously this is a different thing from saying that the
notes themselves were “higher” or “lower.” But let us match the notes
by striking tuning-forks, and then having selected forks which give the
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