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of the composition must be either larger than, or in some way supreme over, the rest. There is no proportion between equal things. They can have symmetry only, and symmetry without proportion is not composition. It is necessary to perfect beauty, but it is the least necessary of its elements, nor of course is there any difficulty in obtaining it. Any succession of equal things is agreeable; but to compose is to arrange unequal things, and the first thing to be done in beginning a composition is to determine which is to be the principal thing. I believe that all that has been written and taught about proportion, put together, is not to the architect worth the single rule, well enforced, "Have one large thing and several smaller things, or one principal thing and several inferior things, and bind them well together." Sometimes there may be a regular gradation, as between the heights of stories in good designs for houses; sometimes a monarch with a lowly train, as in the spire with its pinnacles: the varieties of arrangement are infinite, but the law is universal—have one thing above the rest, either by size, or office, or interest. Don't put the pinnacles without the spire. What a host of ugly church towers have we in England, with pinnacles at the corners, and none in the middle! How many buildings like King's College Chapel at Cambridge, looking like tables upside down, with their four legs in the air! What! it will be said, have not beasts four legs? Yes, but legs of different shapes, and with a head between them. So they have a pair of ears: and perhaps a pair of horns: but not at both ends. Knock down a couple of pinnacles at either end in King's College Chapel, and you will have a kind of proportion instantly. So in a cathedral you may have one tower in the centre, and two at the west end; or two at the west end only, though a worse arrangement: but you must not have two at the west and two at the east end, unless you have some central member to connect them; and even then, buildings are generally bad which have large balancing features at the extremities, and small connecting ones in the centre, because it is not easy then to make the centre dominant. The bird or moth may indeed have wide wings, because the size of the wing does not give supremacy to the wing. The head and life are the mighty things, and the plumes, however wide, are subordinate. In fine west fronts with a pediment and two towers, the centre is always the principal mass, both in bulk and interest (as having the main gateway), and the towers are subordinated to it, as an animal's horns are to its head. The moment the towers rise so high as to overpower the body and centre, and become themselves the principal masses, they will destroy the proportion, unless they are made unequal, and one of them the leading feature of the cathedral, as at Antwerp and Strasburg. But the purer method is to keep them down in due relation to the centre, and to throw up the pediment into a steep connecting mass, drawing the eye to it by rich tracery. This is nobly done in St. Wulfran of Abbeville, and attempted partly at Rouen, though that west front is made up of so many unfinished and supervening designs that it is impossible to guess the real intention of any one of its builders.
PLATE X. PLATE X.—(Page 122—Vol. V.)
Traceries and Mouldings from Rouen and Salisbury.

XXVII. This rule of supremacy applies to the smallest as well as to the leading features: it is interestingly seen in the arrangement of all good mouldings. I have given one, on the opposite page, from Rouen cathedral; that of the tracery before distinguished as a type of the noblest manner of Northern Gothic (Chap. II. § XXII.). It is a tracery of three orders, of which the first is divided into a leaf moulding, fig. 4, and b in the section, and a plain roll, also seen in fig. 4, c in the section; these two divisions surround the entire window or panelling, and are carried by two-face shafts of corresponding sections. The second and third orders are plain rolls following the line of the tracery; four divisions of moulding in all: of these four, the leaf moulding is, as seen in the sections, much the largest; next to it the outer roll; then, by an exquisite alternation, the innermost roll (e), in order that it may not be lost in the recess and the intermediate (d), the smallest. Each roll has its own shaft and capital; and the two smaller, which in effect upon the eye, owing to the retirement of the innermost, are nearly equal, have smaller capitals than the two larger, lifted a little to bring them to the same level. The wall in the trefoiled lights is curved, as from e to f in the section; but in the quatrefoil it is flat, only thrown back to the full depth of the recess below so as to get a sharp shadow instead of a soft one, the mouldings falling back to it in nearly a vertical curve behind the roll e. This could not, however, be managed with the simpler mouldings of the smaller quatrefoil above, whose half section is given from g to g2; but the architect was evidently fretted by the heavy look of its circular foils as opposed to the light spring of the arches below: so he threw its cusps obliquely clear from the wall, as seen in fig. 2, attached to it where they meet the circle, but with their finials pushed out from the natural level (h, in the section) to that of the first order (g2) and supported by stone props behind, as seen in the profile fig. 2, which I got from the correspondent panel on the buttress face (fig. 1 being on its side), and of which the lower cusps, being broken away, show the remnant of one of their props projecting from the wall. The oblique curve thus obtained in the profile is of singular grace. Take it all in all, I have never met with a more exquisite piece of varied, yet severe, proportioned and general arrangement (though all the windows of the period are fine, and especially delightful in the subordinate proportioning of the smaller capitals to the smaller shafts). The only fault it has is the inevitable misarrangement of the central shafts; for the enlargement of the inner roll, though beautiful in the group of four divisions at the side, causes, in the triple central shaft, the very awkwardness of heavy lateral members which has just been in most instances condemned. In the windows of the choir, and in most of the period, this difficulty is avoided by making the fourth order a fillet which only follows the foliation, while the three outermost are nearly in arithmetical progression of size, and the central triple shaft has of course the largest roll in front. The moulding of the Palazzo Foscari (Plate VIII., and Plate IV. fig. 8) is, for so simple a group, the grandest in effect I have even seen: it is composed of a large roll with two subordinates.

XXVIII. It is of course impossible to enter into details of instances belonging to so intricate division of our subject, in the compass of a general essay. I can but rapidly name the chief conditions of right. Another of these is the connection of Symmetry with horizontal, and of Proportion with vertical, division. Evidently there is in symmetry a sense not merely of equality, but of balance: now a thing cannot be balanced by another on the top of it, though it may by one at the side of it. Hence, while it is not only allowable, but often necessary, to divide buildings, or parts of them, horizontally into halves, thirds, or other equal parts, all vertical divisions of this kind are utterly wrong; worst into half, next worst in the regular numbers which more betray the equality. I should have thought this almost the first principle of proportion which a young architect was taught: and yet I remember an important building, recently erected in England, in which the columns are cut in half by the projecting architraves of the central windows; and it is quite usual to see the spires of modern Gothic churches divided by a band of ornament half way up. In all fine spires there are two bands and three parts, as at Salisbury. The ornamented portion of the tower is there cut in half, and allowably, because the spire forms the third mass to which the other two are subordinate: two stories are also equal in Giotto's campanile, but dominant over smaller divisions below, and subordinated to the noble third above. Even this arrangement is difficult to treat; and it is usually safer to increase or diminish the height of the divisions regularly as they rise, as in the Doge's Palace, whose three divisions are in a bold geometrical progression: or, in towers, to get an alternate proportion between the body, the belfry, and the crown, as in the campanile of St. Mark's. But, at all events, get rid of equality; leave that to children and their card houses: the laws of nature and the reason of man are alike against it, in arts, as in politics. There is but one thoroughly ugly tower in Italy that I know of, and that is so because it is divided into vertical equal parts: the tower of Pisa.12

XXIX. One more principle of Proportion I have to name, equally simple, equally neglected. Proportion is between three terms at least. Hence, as the pinnacles are not enough without the spire, so neither the spire without the pinnacles. All men feel this and usually express their feeling by saying that the pinnacles conceal the junction of the spire and tower. This is one reason; but a more influential one is, that the pinnacles furnish the third term to the spire and tower. So that it is not enough, in order to secure proportion, to divide a building unequally; it must be divided into at least three parts; it may be into more (and in details with advantage), but on a large scale I find three is about the best number of parts in elevation, and five in horizontal extent, with freedom of increase to five in the one case and seven in the other; but not to more without confusion (in architecture, that is to say; for in organic structure the numbers cannot be limited). I purpose, in the course of works which are in preparation, to give copious illustrations of this subject, but I will take at present only one instance of vertical proportion, from the flower stem of the common water plantain, Alisma Plantago. Fig. 5, Plate XII. is a reduced profile of one side of a plant gathered at random; it is seen to have five masts, of which, however, the uppermost is a mere shoot, and we can consider only their relations up to the fourth. Their lengths are measured on the line A B, which is the actual length of the lowest mass a b, A C=b c, A D=c d, and A E=d e. If the reader will take the trouble to measure these lengths and compare them, he will find that, within half a line, the uppermost A E=5/7 of A D, A D=6/8 of A C, and A C=7/9 of A B; a most subtle diminishing proportion. From each of the joints spring three major and three minor branches, each between

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