With this I hope to have made perfectly clear that the pleasing effect
of symmetry is chiefly due to the repetition of sensations, and that
the effect in question takes place in symmetrical figures, only where
there is a repetition of sensation. The pleasing effect of regular
figures, the preference which straight lines, especially vertical and
horizontal straight lines, enjoy, is founded on a similar reason. A
straight line, both in a horizontal and in a vertical position, can cast
on the two retinæ the same image, which falls moreover on symmetrically
corresponding spots. This also, it would appear, is the reason of our
psychological preference of straight to curved lines, and not their
property of being the shortest distance between two points. The straight
line is felt, to put the matter briefly, as symmetrical to itself, which
is the case also with the plane. Curved lines are felt as deviations
from straight lines, that is, as deviations from symmetry.[22] The
presence of a sense for symmetry in people possessing only one eye from
birth, is indeed a riddle. Of course, the sense of symmetry, although
primarily acquired by means of the eyes, cannot be wholly limited to the
visual organs. It must also be deeply rooted in other parts of the
organism by ages of practice and can thus not be eliminated forthwith by
the loss of one eye. Also, when an eye is lost, the symmetrical muscular
apparatus is left, as is also the symmetrical apparatus of innervation.
It appears, however, unquestionable that the phenomena mentioned have,
in the main, their origin in the peculiar structure of our eyes. It will
therefore be seen at once that our notions of what is beautiful and ugly
would undergo a change if our eyes were different. Also, if this view is
correct, the theory of the so-called eternally beautiful is somewhat
mistaken. It can scarcely be doubted that our culture, or form of
civilisation, which stamps upon the human body its unmistakable traces,
should not also modify our conceptions of the beautiful. Was not
formerly the development of all musical beauty restricted to the narrow
limits of a five-toned scale?
The fact that a repetition of sensations is productive of pleasant
effects is not restricted to the realm of the visible. To-day, both the
musician and the physicist know that the harmonic or the melodic
addition of one tone to another affects us agreeably only when the added
tone reproduces a part of the sensation which the first one excited.
When I add an octave to a fundamental tone, I hear in the octave a part
of what was heard in the fundamental tone. (Helmholtz.) But it is not my
purpose to develop this idea fully here.[23] We shall only ask to-day,
whether there is anything similar to the symmetry of figures in the
province of sounds.
Look at the reflexion of your piano in the mirror.
Public-domain text, read in full here on John Shaqi.
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