_The Law of the Simultaneous Contrast of Colours, and the Formula which
represents it._
16. After I had assured myself that the preceding phenomena were
constant for my sight when it was not fatigued, and that many persons,
accustomed to judge of colours, saw them as I did, I sought to reduce
them to an expression sufficiently general to render it possible
to predicate the effect which would be produced upon the organ of
vision by the juxtaposition of two given colours. All the phenomena
that I have observed seem to depend upon a very simple law, which in
its most general sense may be enunciated in these terms: When two
contiguous colours are seen at the same time, they appear as dissimilar
as possible, both with regard to their optical composition and their
depth of tone. Therefore there may be at once simultaneous contrast of
colour, properly so called, and simultaneous contrast of tone.
17. Now two colours in juxtaposition, _o_ and _p_, will differ from
each other in the greatest possible degree when the complementary of
_o_ is added to _p_, and the complementary of _p_ is added to _o_;
indeed by the juxtaposition of _o_ and _p_, the rays of the colour
_p_, which _o_ reflects when it is seen alone, and which are active in
that case, cease to be so when _o_ and _p_ are in juxtaposition. Now
under these circumstances, each of the two colours, losing what it has
analogous to the other, must be so much more different from it.
18. The following formulæ will illustrate this:—
Let us represent—
The colour of the stripe O by the colour _a plus_ white B,
” ” P ” _aʹ plus_ white Bʹ,
the complementary colour of _a_ by C,
” ” _aʹ_” _cʹ_,
the colours of the two stripes seen separately are—
Colour of O = _a_ + B; colour of P = _aʹ_ + Bʹ;
by juxtaposition they become—
Colour of O = _a_ + B + _cʹ_,
P = _aʹ_ + Bʹ + _c_.
We will now show that this expression amounts to taking away the rays
of _aʹ_ from the colour _a_ of O (15), and to taking away the rays of
the colour _a_ from _aʹ_ of P.
For let us suppose—
B reduced into two portions, white = _b_ + white = (_a_ʹ + _c_ʹ),
Bʹ reduced into two portions, white = _b_ʹ + white = (_a_ + _c_).
The colours of the two stripes seen separately are—
The colour of O = _a_ + _b_ + _a_ʹ + _c_ʹ, and the colour of
P = _a_ʹ + _b_ʹ + _a_ + _c_.
By juxtaposition they become—
The colour of O = _a_ + _b_ + _c_ʹ, and the colour of
P = _a_ʹ + _b_ʹ + _c_.
An expression which is evidently the same as the former, except for the
values of B and Bʹ.
19. I have said that simultaneous contrast may at the same time affect
the optical composition of colours, and the depth of their tone;
consequently, when colours are not of the same depth, that which is
deep appears deeper, and that which is light appears lighter; that is
to say, the former appears to lose white light, while the latter seems
to reflect more of it. Thus _there may be, in looking at two contiguous
colours, simultaneous contrast of colours and simultaneous contrast of
tone_.