The feeling of tonality grew up as follows. Every one was
referred to a fundamental, whether or not it made with it an
harmonious interval. The fundamental was imaged TOGETHER WITH
every other note, and when a group of such references often
appeared together, the feelings bound up with the single
reference (interval-feelings) fused into a single feeling,--
the tonality-feeling. When this point is once reached, it is
clear that every tone is heard not as itself alone, but in its
relations; it is not that we judge of tonality, it is a direct
impression, based on a psychological principle that we have
already touched on in the theory of rhythm. The tonality-
feeling is a feeling of form, or motor image, just as the
shape of objects is a motor image. We do not now need to go
through all possible experiences in relation to these objects,
we POSSESS their form in a system of motor images, which are
themselves only motor cues for coordinated movements. So
every tone is felt as something at a certain distance from,
with a certain relation to, another tone which is dimly
imagined. In following a melody, the notes are able to belong
together for us by virtue of the background of the tone to
which they are related, and in terms of which they are heard.
The tonality is indeed literally a "funded content,"--that is,
a funded capital of relation.
These are the general facts of tonality. But what is its
meaning for the nature of music? Why should all notes be
referred to one? Is this, too, an ultimate psychological fact?
In answer there may be pointed out the original basic quality
of certain tones, and the desire we have to return to them.
Of two successive tones, it is always the one which is, in the
ratio of their vibration rates, a power of two, with which we
wish to end.<1> When neither of two successive tones contains
a power of two, we have no preference as to the ending. Thus
denoting any tone by 1, it is always to 1 or 2, or 2n that we
wish to return, from any other possible tone; while 3 and 5, 5
and 7, leave us indifferent as to their succession. In general,
when two tones are related, as 2n:3, 5, 7, 9, 15--in which 2n
denotes every power of two, including 2o=1, with the progression
from the first to the second, there is bound up a tendency to
return to the first. Thus the fundamental fact of melodic
sequence may be said to be the primacy of 2 in vibration rates.
But 2n, in a scale containing 3, 5, etc., is always what we
know as the tonic. The tonic, then, gives a sense of
equilibrium, of rest, of finality, while to end on another tone
gives a feeling of restlessness or striving.
Public-domain text, read in full here on John Shaqi.
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