The other explanation makes consonance due to the identity
of partial tones. When two tones have one or more partial
tones in common they are said to be related; the amount
of identity gives the degree of relationship. Physiologically,
one or more basilar membrane fibres are excited by both, and
this fact gives the positive feeling of relationship or
consonance. Of course the obvious objection to this view
is that the two tones should be felt as differently consonant
when struck on instruments which give different partial tones,
such as organ and piano, while in fact they are not so felt.
But it is not after all essential to the aesthetics of music
that the physiological basis of harmony should be fully
understood. The point is that certain tones do indeed seem to
be "preordained to congruity," preordained either in their
physical constitution or their physiological relations, and not
to have achieved congruity by use or custom. Consonance is an
immediate and fundamental impression,--psychologically an
ultimate fact. That it is ultimate is emphasized by Stumpf<1>
in his theory of Fusion. Consonance is fusion, that is, unitary
impression. Fusion is not identical with inability to distinguish
two tones from each other in a chord, although this may be used
as a measure of fusion. Consonance is the feeling of unity, and
fusion is the mutual relation of tones which gives that feeling.
<1> _Beitrage zur Akustik u. Musikwissenschaft_, Heft I,
Konsonanz u. Dissonanz, 1898.
The striking fact of modern music is the principle of tonality.
Tonality is said to be present in a piece of music when every
element in it is referred to, gets its significance from its
relation to, a fundamental tone, the tonic. The tonic is the
beginning and lowest note in the scale in question, and all
notes and chords are understood according to their place in
that scale. But the conception of the scale of course does not
cover the ground, it merely furnishes the point of departure,--
the essential is in the reference of every element to the
fundamental tone. The tonic is the centre of gravity of a
melody.
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