III Changeless Change
Trinity, Consonance, Diversity in Monotony, Balance, Rhythmic Change, Radiation
The preceding essay was devoted for the most part to that “inevitable duality” which finds concrete expression in countless pairs of opposites, such as day and night, fire and water, man and woman; in the art of music by two chords, one of suspense and the other of fulfilment; in speech by vowel and consonant sounds, epitomized in a and in m; in painting by warm colors and cold, epitomized in red and blue; in architecture by the vertical column and the horizontal lintel, by void and solid—and so on.
Trinity
This concept should now be modified by another, namely, that in every duality a third is latent; that two implies three, for each sex so to speak is in process of becoming the other, and this alternation engenders and is accomplished by means of a third term or neuter, which is like neither of the original two but partakes of the nature of them both, just as a child may resemble both its parents. Twilight comes between day and night; earth is the child of fire and water; in music, besides the chord of longing and striving, and the chord of rest and satisfaction (the dominant seventh and the tonic), there is a third or resolving chord in which the two are reconciled. In the sacred syllable Om (Aum), which epitomizes all speech, the u sound effects a transition between the a sound and the m; among the so-called primary colors yellow comes between red and blue; and in architecture the arch, which is both weight and support, which is neither vertical nor horizontal, may be considered the neuter of the group of which the column and the lintel are respectively masculine and feminine. “These are the three,” says Mr. Louis Sullivan, “the only three letters from which has been expanded the architectural art, as a great and superb language wherewith man has expressed, through the generations, the changing drift of his thoughts.”
It would be supererogatory to dwell at any length on this “trinity of manifestation” as the concrete expression of that unmanifest and mystical trinity, that three-in-one which under various names occurs in every world-religion, where, defying definition, it was wont to find expression symbolically in some combination of vertical, horizontal and curved lines. The anstated cross of the Egyptians is such a symbol, the Buddhist wheel, and the fylfot or swastika inscribed within a circle, also those numerous Christian symbols combining the circle and the cross. Such ideographs have spelled profound meaning to the thinkers of past ages. We of to-day are not given to discovering anything wonderful in three strokes of a pen, but every artist in the weaving of his pattern must needs employ these mystic symbols in one form or another, and if he employs them with a full sense of their hidden meaning his work will be apt to gain in originality and beauty—for originality is a new and personal perception of beauty, and beauty is the name we give to truth we cannot understand.
In architecture, this trinity of vertical, horizontal and curved lines finds admirable illustration in the application of columns and entablature to an arch and impost construction, so common in Roman and Renaissance work. This is a redundancy, and finds no justification in reason, because the weight is sustained by the arch, and the “order” is an appendage merely; yet the combination, illogical as it is, satisfies the sense of beauty because the arch effects a transition between the columns and the entablature, and completes the trinity of vertical, horizontal and curved lines (Illustration 21). In the entrances to many of the Gothic cathedrals and churches the same elements are better because more logically disposed. Here the horizontal lintel and its vertical supports are not decorative merely, but really perform their proper functions, while the arch, too, has a raison d’être in that it serves to relieve the lintel of the superincumbent weight of masonry. The same arrangement sometimes occurs in classic architecture also, as when an opening spanned by a single arch is subdivided by means of an order (Illustration 22).
Three is pre-eminently the number of architecture, because it is the number of space, which for us is three-dimensional, and of all the arts architecture is most concerned with the expression of spatial relations. The division of a composition into three related parts is so universal that it would seem to be the result of an instinctive action of the human mind. The twin pylons of an Egyptian temple with its entrance between, for a third division, has its correspondence in the two towers of a Gothic cathedral and the intervening screen wall of the nave. In the palaces of the Renaissance a threefold division—vertically by means of quoins or pilasters, and horizontally by means of cornices or string courses—was common, as was also the division into a principal and two subordinate masses (Illustration 23).
The architectural “orders” are divided threefold into pedestal or stylobate, column and entablature; and each of these is again divided threefold: the first into plinth, die and cornice; the second into base, shaft and capital; the third into architrave, frieze and cornice. In many cases these again lend themselves to a threefold subdivision. A more detailed analysis of the capitals already shown to be twofold reveals a third member: in the Greek Doric this consists of the annulets immediately below the abacus; in the other orders, the necking which divides the shaft from the cap.
Consonance
“As is the small, so is the great” is a perpetually recurring phrase in the literature of theosophy, and naturally so, for it is a succinct statement of a fundamental and far-reaching truth. The scientist recognizes it now and then and here and there, but the occultist trusts it always and utterly. To him the microcosm and the macrocosm are one and the same in essence, and the forth-going impulse which calls a universe into being and the indrawing impulse which extinguishes it again, each lasting millions of years, are echoed and repeated in the inflow and outflow of the breath through the nostrils, in nutrition and excretion, in daily activity and nightly rest, in that longer day which we name a lifetime, and that longer rest in Devachan—and so on until time itself is transcended.
In the same way, in nature, a thing is echoed and repeated throughout its parts. Each leaf on a tree is itself a tree in miniature, each blossom a modified leaf; every vertebrate animal is a complicated system of spines; the ripple is the wave of a larger wave, and that larger wave is a part of the ebbing and flowing tide. In music this law is illustrated in the return of the tonic to itself in the octave, and its partial return in the dominant; also in a more extended sense in the repetition of a major theme in the minor, or in the treble and again in the bass, with modifications perhaps of time and key. In the art of painting the law is exemplified in the repetition with variation of certain colors and combinations of lines in different parts of the same picture, so disposed as to lead the eye to some focal point. Every painter knows that any important color in his picture must be echoed, as it were, in different places, for harmony of the whole.
In the drama the repetition of a speech or of an entire scene, but under circumstances which give it a different meaning, is often most effective, as when Gratiano, in the trial scene of The Merchant of Venice taunts Shylock with his own words, “A Daniel come to judgment!” or, as when in one of the later scenes of As You Like It an earlier scene is repeated, but with Rosalind speaking in her proper person and no longer as the boy Ganymede.
These recurrences, these inner consonances, these repetitions with variations are common in architecture also. The channeled triglyphs of a Greek Doric frieze echo the fluted columns below (Illustration 24). The balustrade which crowns a colonnade is a repetition, in some sort, of the colonnade itself. The modillions of a Corinthian cornice are but elaborated and embellished dentils. Each pinnacle of a Gothic cathedral is a little tower with its spire. As Ruskin has pointed out, the great vault of the cathedral nave, together with the pointed roof above it, is repeated in the entrance arch with its gable, and the same two elements appear in every statue-enshrining niche of the doorway. In classic architecture, as has been shown, instead of the arch and gable, the column and entablature everywhere recur under different forms. The minor domes which flank the great dome of the cathedral of Florence enhance and reinforce the latter, and prepare the eye for a climax which would otherwise be too abrupt. The central pavilion of the Château Maintenon, with its two turrets, echoes the entire façade with its two towers. Like the overture to an opera, it introduces themes which find a more extended development elsewhere (Illustration 26).
This law of Consonance is operative in architecture more obscurely in the form of recurring numerical ratios, identical geometrical determining figures, parallel diagonals and the like, which will be discussed in a subsequent essay. It has also to do with style and scale, the adherence to substantially one method of construction and manner of ornament, just as in music the key, or chosen series of notes, may not be departed from except through proper modulations, or in a specific manner.
Thus it is seen that in a work of art, as in a piece of tapestry, the same thread runs through the web, but goes to make up different figures. The idea is deeply theosophic: one life, many manifestations; hence, inevitably, echoes, resemblances—Consonance.
Diversity in Monotony
Another principle of natural beauty, closely allied to the foregoing, its complement as it were, is that of Diversity in Monotony—not identity, but difference. It shows itself for the most part as a perceptible and piquant variation between individual units belonging to the same class, type, or species.
No two trees put forth their branches in just the same manner, and no two leaves from the same tree exactly correspond; no two persons look alike, though they have similiar members and features; even the markings on the skin of the thumb are different in every human hand. Browning says,
“As like as a hand to another hand!
Whoever said that foolish thing,
Could not have studied to understand—”
Now every principle of natural beauty is but the presentment of some occult law, some theosophical truth; and this law of Diversity in Monotony is the presentment of the truth that identity does not exclude difference. The law is binding, yet the will is free: all men are brothers united by the ties of brotherhood, yet each is unique, a free agent, and never so free as when most bound by the Good Law. This truth nature beautifully proclaims, and art also. In architecture it is admirably exemplified in the metopes of the Parthenon frieze: seen at a distance these must have presented a scarcely distinguishable texture of sunlit marble and cool shadow, yet in reality each is a separate work of art. So with the capitals of the columns of the wonderful sea-arcade of the Venetian Ducal palace: alike in general contour they differ widely in detail, and unfold a Bible story. In Gothic cathedrals, in Romanesque monastery cloisters, a teeming variety of invention is hidden beneath apparent uniformity. The gargoyles of Notre Dame make similiar silhouettes against the sky, but seen near at hand what a menagerie of monsters! The same spirit of controlled individuality, of liberty subservient to the law of all, is exemplified in the bases of the columns of the temple of Apollo near Miletus—each one a separate masterpiece of various ornamentation adorning an established architectural form (Illustration 28).
The builders of the early Italian churches, instinctively obeying this law of Diversity in Monotony, varied the size of the arches in the same arcade (Illustration 29), and that this was an effect of art and not of accident or carelessness Ruskin long ago discovered, and the Brooklyn Institute surveys have amply confirmed his view. Although by these means the builders of that day produced effects of deceptive perspective, of subtle concord and contrast, their sheer hatred of monotony and meaningless repetition may have led them to diversify their arcades in the manner described, for a rigidly equal and regular division lacks interest and vitality.
Balance
If one were to establish an axial plane vertically through the center of a tree, in most cases it would be found that the masses of foliage, however irregularly shaped on either side of such an axis, just about balanced each other. Similarly, in all our bodily movements, for every change of equilibrium there occurs an opposition and adjustment of members of such a nature that an axial plane through the center of gravity would divide the body into two substantially equal masses, as in the case of the tree. This physical plane law of Balance shows itself for the most part on the human plane as the law of Compensation, whereby, to the vision of the occultist, all accounts are “squared,” so to speak. It is in effect the law of Justice, aptly symbolized by the scales.
The law of Balance finds abundant illustration in art: in music by the opposition, the answering, of one phrase by another of the same elements and the same length, but involving a different sequence of intervals; in painting by the disposition of masses in such a way that they about equalize one another, so that there is no sense of “strain” in the composition.
In architecture the common and obvious recognition of the law of Balance is in the symmetrical disposition of the elements, whether of plan or of elevation, on either side of axial lines. A far more subtle and vital illustration of the law occurs when the opposed elements do not exactly match, but differ from each other, as in the case of the two towers of Amiens, for example. This sort of balance may be said to be characteristic of Gothic, as symmetry is characteristic of Classic, architecture.
Rhythmic Change
There is in nature a universal tendency toward refinement and compactness of form in space, or contrariwise, toward increment and diffusion; and this manifests itself in time as acceleration or retardation. It is governed, in either case, by an exact mathematical law, like the law of falling bodies. It shows itself in the widening circles which appear when one drops a stone into still water, in the convolutions of shells, in the branching of trees and the veining of leaves; the diminution in the size of the pipes of an organ illustrates it, and the spacing of the frets of a guitar. More and more science is coming to recognize, what theosophy affirms, that the spiral vortex, which so beautifully illustrates this law, both in its time and its space aspects is the universal archetype, the pattern of all that is, has been, or will be, since it is the form assumed by the ultimate physical atom, and the ultimate physical atom is the physical cosmos in miniature.
This Rhythmic Diminution is everywhere: it is in the eye itself, for any series of mathematically equal units, such for example as the columns and intercolumnations of a colonnade, become when seen in perspective rhythmically unequal, diminishing according to the universal law. The entasis of a Classic column is determined by this law, the spirals of the Ionic volute, the annulets of the Parthenon cap, obey it (Illustration 30).
In recognition of the same principle of Rhythmic Diminution a building is often made to grow, or appear to grow lighter, more intricate, finer, from the ground upward, an end attained by various devices, one of the most common being the employment of the more attenuated and highly ornamented orders above the simpler and sturdier, as in the Roman Colosseum, or in the Palazzo Uguccioni, in Florence—to mention only two examples out of a great number. In the Riccardi Palace an effect of increasing refinement is obtained by diminishing the boldness of the rustication of the ashlar in successive stories; in the Farnese, by the gradual reduction of the size of the angle quoins (Illustration 30). In an Egyptian pylon it is achieved most simply by battering the wall; in a Gothic cathedral most elaborately by a kind of segregation, or breaking up, analogous to that which a tree undergoes—the strong, relatively unbroken base corresponding to the trunk, the diminishing buttresses to the tapering limbs, and the multitude of delicate pinnacles and crockets, to the outermost branches and twigs, seen against the sky.
Radiation
The final principle of natural beauty to which the author would call attention is the law of Radiation, which is in a manner a return to the first, the law of Unity. The various parts of any organism radiate from, or otherwise refer back to common centers, or foci, and these to centers of their own. The law is represented in its simplicity in the star-fish, in its complexity in the body of man; a tree springs from a seed, the solar system centers in the sun.
The idea here expressed by the term “radiation” is a familiar one to all students of theosophy. The Logos radiates his life and light throughout his universe, bringing into activity a host of entities which become themselves radial centers; these generate still others, and so on endlessly. This principle, like every other, patiently publishes itself to us, unheeding, everywhere in nature, and in all great art as well; it is a law of optics, for example, that all straight lines having a common direction if sufficiently prolonged appear to meet in a point, i.e., radiate from it (Illustration 31). Leonardo da Vinci employed this principle of perspective in his Last Supper to draw the spectator’s eye to the picture’s central figure, the point of sight toward which the lines of the walls and ceiling converge centering in the head of Christ. Puvis de Chavannes, in his Boston Library decoration, leads the eye by a system of triangulation to the small figure of the Genius of Enlightenment above the central door (Illustration 32); and Ruskin, in his Elements of Drawing, has shown how artfully Turner arranged some of his compositions to attract attention to a focal point.
This law of Radiation enters largely into architecture. The Colosseum, based upon the ellipse, a figure generated from two points or foci, and the Pantheon, based upon the circle, a figure generated from a central point, are familiar examples. The distinctive characteristic of Gothic construction, the concentration or focalization of the weight of the vaults and arches at certain points, is another illustration of the same principle applied to architecture, beautifully exemplified in the semicircular apse of a cathedral, where the lines of the plan converge to a common center, and the ribs of the vaulting meet upon the capitals of the piers and columns, seeming to radiate thence to still other centers in the loftier vaults which finally meet in a center common to all.
The tracery of the great roses, high up in the façades of the cathedrals of Paris and of Amiens, illustrate Radiation, in the one case masculine: straight, angular, direct; in the feminine: curved, flowing, sinuous. The same Beautiful Necessity determined the characteristics of much of the ornament of widely separated styles and periods: the Egyptian lotus, the Greek honeysuckle, the Roman acanthus, Gothic leaf work—to snatch at random four blossoms from the sheaf of time. The radial principle still inherent in the debased ornament of the late Renaissance gives that ornament a unity, a coherence, and a kind of beauty all its own (Illustration 35).
Such are a few of the more obvious laws of natural beauty and their application to the art of architecture. The list is by no means exhausted, but it is not the multiplicity and diversity of these laws which is important to keep in mind, so much as their relatedness and coördination, for they are but different aspects of the One Law, that whereby the Logos manifests in time and space. A brief recapitulation will serve to make this correlation plain, and at the same time fix what has been written more firmly in the reader’s mind.
First comes the law of Unity; then, since every unit is in its essence twofold, there is the law of Polarity; but this duality is not static but dynamic, the two parts acting and reacting upon one another to produce a third—hence the law of Trinity. Given this third term, and the innumerable combinations made possible by its relations to and reactions upon the original pair, the law of Multiplicity in Unity naturally follows, as does the law of Consonance, or repetition, since the primal process of differentiation tends to repeat itself, and the original combinations to reappear—but to reappear in changed form, hence the law of Diversity in Monotony. The law of Balance is seen to be but a modification of the law of Polarity, and since all things are waxing and waning, there is the law whereby they wax and wane, that of Rhythmic Change. Radiation rediscovers and reaffirms, even in the utmost complexity, that essential and fundamental unity from which complexity was wrought.
Everything, beautiful or ugly, obeys and illustrates one or another of these laws, so universal are they, so inseparably attendant upon every kind of manifestation in time and space. It is the number of them which finds illustration within small compass, and the aptness and completeness of such illustration, which makes for beauty, because beauty is the fine flower of a sort of sublime ingenuity. A work of art is nothing if not artful: like an acrostic, the more different ways it can be read—up, down, across, from right to left and from left to right—the better it is, other things being equal. This statement, of course, may be construed in such a way as to appear absurd; what is meant is simply that the more a work of art is freighted and fraught with meaning beyond meaning, the more secure its immortality, the more powerful its appeal. For enjoyment, it is not necessary that all these meanings should be fathomed, it is only necessary that they should be felt.
Consider for a moment the manner in which Leonardo da Vinci’s Last Supper, an acknowledged masterpiece, conforms to everyone of the laws of beauty enumerated above (Illustration 32). It illustrates the law of Unity in that it movingly portrays a single significant episode in the life of Christ. The eye is led to dwell upon the central personage of this drama by many artful expedients: the visible part of the figure of Christ conforms to the lines of an equilateral triangle placed exactly in the center of the picture; the figure is separated by a considerable space from the groups of the disciples on either hand, and stands relieved against the largest parallelogram of light, and the vanishing point of the perspective is in the head of Christ, at the apex, therefore, of the triangle. The law of Polarity finds fulfilment in the complex and flowing lines of the draped figures contrasted with the simple parallelogram of the cloth-covered table, and the severe architecture of the room. The law of Trinity is exemplified in the three windows, and in the subdivision of the twelve figures of the disciples into four groups of three figures each. The law of Consonance appears in the repetition of the horizontal lines of the table in the ceiling above; and in the central triangle before referred to, continued and echoed, as it were, in the triangular supports of the table visible underneath the cloth. The law of Diversity in Monotony is illustrated in the varying disposition of the heads of the figures in the four groups of three; the law of Balance in the essential symmetry of the entire composition; the law of Rhythmic Change in the diminishing of the wall and ceiling spaces; and the law of Radiation in the convergence of all the perspective lines to a single significant point.
To illustrate further the universality of these laws, consider now their application to a single work of architecture: the Taj Mahal, one of the most beautiful buildings of the world (Illustration 36). It is a unit, but twofold, for it consists of a curved part and an angular part, roughly figured as an inverted cup upon a cube; each of these (seen in parallel perspective, at the end of the principal vista) is threefold, for there are two sides and a central parallelogram, and two lesser domes flank the great dome. The composition is rich in consonances, for the side arches echo the central one, the subordinate domes the great dome, and the lanterns of the outstanding minarets repeat the principal motif. Diversity in Monotony appears abundantly in the ornament, which is intricate and infinitely various; the law of Balance is everywhere operative in the symmetry of the entire design. Rhythmic Change appears in the tapering of the minarets, the outlines of the domes and their mass relations to one another; and finally, the whole effect is of radiation from a central point, of elements disposed on radial lines.
It would be fatuous to contend that the prime object of a work of architecture is to obey and illustrate these laws. The prime object of a work of architecture is to fulfill certain definite conditions in a practical, economical, and admirable way, and in fulfilling to express as far as possible these conditions, making the form express the function. The architect who is also an artist however will do this and something beyond: working for the most part unconsciously, harmoniously, joyously, his building will obey and illustrate natural laws—these laws of beauty—and to the extent it does so it will be a work of art; for art is the method of nature carried into those higher regions of thought and feeling which man alone inhabits: regions which it is one of the purposes of theosophy to explore.