I recognise in the deepest tones of harmony, in the bass, the lowest
grades of the objectification of will, unorganised nature, the mass of the
planet. It is well known that all the high notes which are easily sounded,
and die away more quickly, are produced by the vibration in their vicinity
of the deep bass-notes. When, also, the low notes sound, the high notes
always sound faintly, and it is a law of harmony that only those high
notes may accompany a bass-note which actually already sound along with it
of themselves (its _sons harmoniques_) on account of its vibration. This
is analogous to the fact that the whole of the bodies and organisations of
nature must be regarded as having come into existence through gradual
development out of the mass of the planet; this is both their supporter
and their source, and the same relation subsists between the high notes
and the bass. There is a limit of depth, below which no sound is audible.
This corresponds to the fact that no matter can be perceived without form
and quality, _i.e._, without the manifestation of a force which cannot be
further explained, in which an Idea expresses itself, and, more generally,
that no matter can be entirely without will. Thus, as a certain pitch is
inseparable from the note as such, so a certain grade of the manifestation
of will is inseparable from matter. Bass is thus, for us, in harmony what
unorganised nature, the crudest mass, upon which all rests, and from which
everything originates and develops, is in the world. Now, further, in the
whole of the complemental parts which make up the harmony between the bass
and the leading voice singing the melody, I recognise the whole gradation
of the Ideas in which the will objectifies itself. Those nearer to the
bass are the lower of these grades, the still unorganised, but yet
manifold phenomenal things; the higher represent to me the world of plants
and beasts. The definite intervals of the scale are parallel to the
definite grades of the objectification of will, the definite species in
nature. The departure from the arithmetical correctness of the intervals,
through some temperament, or produced by the key selected, is analogous to
the departure of the individual from the type of the species. Indeed, even
the impure discords, which give no definite interval, may be compared to
the monstrous abortions produced by beasts of two species, or by man and
beast. But to all these bass and complemental parts which make up the
_harmony_ there is wanting that connected progress which belongs only to
the high voice singing the melody, and it alone moves quickly and lightly
in modulations and runs, while all these others have only a slower
movement without a connection in each part for itself. The deep bass moves
most slowly, the representative of the crudest mass. Its rising and
falling occurs only by large intervals, in thirds, fourths, fifths, never
by _one_ tone, unless it is a base inverted by double counterpoint. This