, for reach or variety, and
called, _e.g._ [sharp]-F or [flat-]G, so a half tint between green and blue
is a kind of analogical [sharp]green or [flat]blue.

It seems to us that the elementary angles which Mr. Hay conceives to be
the tonic, mediant, and dominant, in formal symmetry, will soon be
proved to decompose into a scale of linear harmony, forming another beam
in this glory of natural analogy. These angles are the fundamental ones
of the pentagon square, and equilateral triangle--respectively 108 deg.,
90 deg., and 60 deg.. Some such scale it is known existed when art was at its
culmination in buried Greece, and it was less the stupendous genius of
her designers than the soul of the universe which their rules taught
them how to infuse into form, which rendered the marbles of Hellas
synonymes for immortality.

The most beautiful and conclusive, and yet most mysterious sign, that
points the seeker to the prosecution of this last analogy, remains yet
for us to remark, and for some investigator yet to take advantage of. It
is the nodal figures which arrange themselves upon an elastic plate (as
of glass), when it is made to vibrate (strewed with sand) by a fiddle
bow drawn across its edge, so as to produce a pitch of some intensity.
These have been investigated, and found subject to certain laws, which
link into the chain of symmetry that philosophers have already grasped.
Among these figures, of which the simplest arise from the deepest
pitches, the angles mentioned occur.

But however interesting it might be to follow out these episodical
instances, they would lead us too far from our original compass.

We have plainly exhibited the identity of principle which governs the
bases of sound and color, and might fairly write Q.E.D. to our
proposition; but the fact so determined has a farther bearing upon art,
which it may not be out of place to enlarge upon.

The painter's palette, charged with color, is the instrument with which
he thrills a melody to the eye, even as the magniloquent organ or the
sigh-breathing flute speak to the ear. And just as the compass of all
instruments is constructed on the diatonic scale, so should the range of
the palette depend upon the tinges of the spectrum.

While artists of a certain school pretend to imitate Nature, who paints
literally with a pencil dipped in rainbow, they make use of a
complication of tints, at which their goddess would shudder. In mixing
and mixing on the groani