138. Temple at Corinth.
The columns were at first assumed to be bounded by straight lines. It is now found that they have an entasis, or convex profile, in the Parthenon to the extent of 1⁄550 of the whole height, and are outlined by a very delicate hyperbolic curve; it is true this can hardly be detected by the eye in ordinary positions, but the want of it gives that rigidity and poverty to the column which is observable in modern examples.[[138]]
In like manner, the architrave in all temples was carried upwards so as to form a very flat arch, just sufficient to correct the optical delusion arising from the interference of the sloping lines of the pediment. This, I believe, was common to all temples, but in the Parthenon the curve was applied to the sides also, though from what motive it is not so easy to detect.
Another refinement was making all the columns slope slightly inwards, so as to give an idea of strength and support to the whole. Add to this, that all the curved lines used were either hyperbolas or parabolas. With one exception only, no circular line was employed, nor even an ellipse. Every part of the temple was also arranged with the most unbounded care and accuracy, and every detail of the masonry was carried out with a precision and beauty of execution which is almost unrivalled, and it may be added that the material of the whole was the purest and best white marble. All these delicate adjustments, this exquisite finish and attention to even the smallest details, are well bestowed on a design in itself simple, beautiful, and appropriate. They combine to render this order, as found in the best Greek temples, as nearly faultless as any work of art can possibly be, and such as we may dwell upon with the most unmixed and unvarying satisfaction.
The system of definite proportion which the Greeks employed in the design of their temples, was another cause of the effect they produce even on uneducated minds. It was not with them merely that the height was equal to the width, or the length about twice the breadth; but every part was proportioned to all those parts with which it was related, in some such ratio as 1 to 6, 2 to 7, 3 to 8, 4 to 9, or 5 to 10, &c. As the scheme advances these numbers become undesirably high. In this case they reverted to some such simple ratios as 4 to 5, 5 to 6, 6 to 7, and so on.
We do not yet quite understand the process of reasoning by which the Greeks arrived at the laws which guided their practice in this respect; but they evidently attached the utmost importance to it, and when the ratio was determined upon, they set it out with such accuracy, that even now the calculated and the measured dimensions seldom vary beyond such minute fractions as can only be expressed in hundredths of an inch.
Though the existence of such a system of ratios has long been suspected, it is only recently that any measurements of Greek temples have been made with sufficient accuracy to enable the matter to be properly investigated and their existence proved.[[139]]
The ratios are in some instances so recondite, and the correlation of the parts at first sight so apparently remote, that many would be inclined to believe they were more fanciful than real.[[140]] It would, however, be as reasonable in a person with no ear, or no musical education, to object to the enjoyment of a complicated concerted piece of music experienced by those differently situated, or to declare that the pain musicians feel from a false note was mere affectation. The eyes of the Greeks were as perfectly educated as our ears. They could appreciate harmonies which are lost in us, and were offended at false quantities which our duller senses fail to perceive. But in spite of ourselves, we do feel the beauty of these harmonic relations, though we hardly know why; and if educated to them, we might acquire what might almost be considered a new sense. But be this as it may, there can be no doubt but that a great deal of the beauty which all feel in contemplating the architectural productions of the Greeks, arises from causes such as these, which we are only now beginning to appreciate.
139. The Parthenon. Scale 50 ft. to 1 in.