Like all scientific knowledge in art, it fails to trap the elusive something that is the vital essence of the whole matter, but such scientific knowledge does help to bring one's work up to a high point of mechanical perfection, from which one's artistic instinct can soar with a better chance of success than if no scientific scaffolding had been used in the initial building up. Yet, however perfect your system, don't forget that the life, the "dither," will still have to be accounted for, and no science will help you here.
The idea that certain mathematical proportions 228or relationships underlie the phenomena we call beauty is very ancient, and too abstruse to trouble us here. But undoubtedly proportion, the quantitative relation of the parts to each other and to the whole, forms a very important part in the impression works of art and objects give us, and should be a subject of the greatest consideration in planning your work. The mathematical relationship of these quantities is a subject that has always fascinated scholars, who have measured the antique statues accurately and painstakingly to find the secret of their charm. Science, by showing that different sounds and different colours are produced by waves of different lengths, and that therefore different colours and sounds can be expressed in terms of numbers, has certainly opened the door to a new consideration of this subject of beauty in relation to mathematics. And the result of such an inquiry, if it is being or has been carried on, will be of much interest.
But there is something chilling to the artist in an array of dead figures, for he has a consciousness that the life of the whole matter will never be captured by such mechanical means.
The question we are interested to ask here is: are there particular sentiments connected with the different relations of quantities, their proportions, as we found there were in connection with different arrangements of lines and masses? Have abstract proportions any significance in art, as we found abstract line and mass arrangements had? It is a difficult thing to be definite about, and I can only give my own feeling on the matter; but I think in some degree they have.
Proportion can be considered from our two points of view of unity and variety. In so far as 229the proportions of any picture or object resolve themselves into a simple, easily grasped unity of relationship, a sense of repose and sublimity is produced. In so far as the variety of proportion in the different parts is assertive and prevents the eye grasping the arrangement as a simple whole, a sense of the lively restlessness of life and activity is produced. In other words, as we found in line arrangements, unity makes for sublimity, while variety makes for the expression of life. Of course the scale of the object will have something to do with this. That is to say, the most sublimely proportioned dog-kennel could never give us the impression of sublimity produced by a great temple. In pictures the scale of the work is not of so great importance, a painting or drawing having the power of giving the impression of great size on a small scale.
The proportion that is most easily grasped is the half—two equal parts. This is the most devoid of variety, and therefore of life, and is only used when an effect of great repose and aloofness from life is wanted; and even then, never without some variety in the minor parts to give vitality. The third and the quarter, and in fact any equal proportions, are others that are easily grasped and partake in a lesser degree of the same qualities as the half. So that equality of proportion should be avoided except on those rare occasions when effects remote from nature and life are desired. Nature seems to abhor equalities, never making two things alike or the same proportion if she can help it. All systems founded on equalities, as are so many modern systems of social reform, are man's work, the products of a machine-made age. For this is the difference between nature and the 230machine: nature never produces two things alike, the machine never produces two things different. Man could solve the social problem to-morrow if you could produce him equal units. But if all men were alike and equal, where would be the life and fun of existence? it would depart with the variety. And in proportion, as in life, variety is the secret of vitality, only to be suppressed where a static effect is wanted. In architecture equality of proportion is more often met with, as the static qualities of repose are of more importance here than in painting. One meets it on all fine buildings in such things as rows of columns and windows of equal size and distances apart, or the continual repetition of the same forms in mouldings, &c. But even here, in the best work, some variety is allowed to keep the effect from being quite dead, the columns on the outside of a Greek pediment being nearer together and leaning slightly inwards, and the repeated forms of windows, columns, and mouldings being infinitely varied in themselves. But although you often find repetitions of the same forms equidistant in architecture, it is seldom that equality of proportion is observable in the main distribution of the large masses.
Let us take our simple type of composition, and in Diagram XXVIII, A, put the horizon across the centre and an upright post cutting it in the middle of the picture. And let us introduce two spots that may indicate the position of birds in the upper spaces on either side of this.
Here we have a maximum of equality and the deadest and most static of results.
To see these diagrams properly it is necessary to cover over with some pieces of notepaper all but 231the one being considered, as they affect each other when seen together, and the quality of their proportion is not so readily observed.
Plate XLVIII.
THE ANSIDEI MADONNA. BY RAPHAEL (NATIONAL GALLERY)
A typical example of static balance in composition.
Photo Hanfstaengl
In many pictures of the Madonna, when a hush and reverence are desired rather than exuberant life, the figure is put in the centre of the canvas, equality of proportion existing between the spaces on either side of her. But having got the repose this centralisation gives, everything is done to conceal this equality, and variety in the contours on either side, and in any figures there may be, is carefully sought. Raphael's "Ansidei Madonna," in the National Gallery, is an instance of this (p. 230). You have first the centralisation of the figure of the Madonna with the throne on which she sits, exactly in the middle of the picture. Not only is the throne in the centre of the picture, but its width is exactly that of the spaces on either side of it, giving us three equal proportions across the picture. Then you have the circular lines of the arch............