III

The particular functions of the elements which are substituted

for geometrical symmetry have been made clear; their presence

lends variety and richness to the balance of motor impulses.

But this quality of repose, or unity, given by balance, is also

enriched by a unity for intuition,--a large outline in which all

the elements are held together. Now this way of holding together

varies; and I believe that it bears a very close relation to the

subject and purpose of the picture.

Examples of these types of composition may best be found by

analyzing a few well-known pictures. We may begin with the class

first studied, the Altar-piece, choosing a picture by Botticelli,

in the Florence Academy. Under an arch is draped a canopy held

up by angels; under this, again, sits the Madonna with the Child

on her lap, on a throne, at the foot of which, on each side,

stand three saints. The outline of the whole is markedly

pyramidal; in fact, there are, broadly speaking, three pyramids,

--of the arch, the canopy, and the grouping. A second, much

less symmetrical example of this type, is given by another

Botticelli in the Academy,--"Spring." Here the central female

figure, topped by the floating Cupid, is slightly raised above

the others, which, however, bend slightly inward, so that a

triangle, or pyramid with very obtuse angle at the apex, is

suggested; and the whole, which at first glance seems a little

scattered, is at once felt, when this is grasped, as closely

bound together.

Closely allied to this is the type of the Holbein "Madonna of

Burgomaster Meyer," in the Grand Ducal Castle, Darmstadt. It

is true that the same pyramid is given by the head of the

Madonna against the shell-like background, and her spreading

cloak which envelops the kneeling donors. But still more

salient is the diamond form given by the descending rows of

these worshiping figures, especially against the dark background

of the Madonna's dress. A second example, without the pyramid

backing, is found in Rubens's "Rape of the Daughters of

Leucippus," in the Alte Pinakothek at Munich. Here the diamond

shape formed by the horses and struggling figures is most

remarkable,--an effect of lightness which will be discussed

later in interpreting the types.

A third type, the diagonal, is given in an "Evening Landscape"

by Cuyp, in the Buckingham Palace, London. High trees and

cliffs, horsemen and others, occupy one side, and the mountains

in the background, the ground and the clouds, all slope

gradually down to the other side.

It is a natural transition from this type to the V-shape of the

landscapes by Aart van der Neer, "Dutch Villages," in the London

National Gallery and in the Rudolphinum at Prague, respectively.

Here are trees and houses on each side, gradually sloping to

the centre to show an open sky and deep vista. Other examples,

of course, show the opening not exactly in the centre.

In the "Concert" by Giorgione, in the Pitti Gallery, Florence,

is seen the less frequent type of the square. The three

figures turned toward each other with heads on the same level

make almost a square space-shape, although it might be said

that the central player gives a pyramidal foundation. This

last may also be said of Verrocchio's "Tobias and the

Archangels" in the Florence Academy, for the square, or other

rectangle, is again lengthened by the pyramidal shape of the

two central figures. The unrelieved square, it may here be

interpolated, is not often found except in somewhat primitive

examples. Still less often observed is the oval type of

"Samson's Wedding Feast," Rembrandt, in the Royal Gallery,

Dresden. Here one might, by pressing the interpretation, see

an obtuse-angled double-pyramid with the figure of Delilah for

an apex, but a few very irregular pictures seem to fall best

under the given classification.

Last of all, it must be remarked that the great majority of

pictures show a combination of two or even three types; but

these are usually subordinated to one dominant type. Such,

for instance, is the case with many portraits, which are

markedly pyramidal, with the double-pyramid suggested by the

position of the arms, and the inverted pyramid, or V, in the

landscape background. The diagonal sometimes just passes over

into the V-shape, or into the pyramid; or the square is

combined with both.

What types are characteristic of the different kinds of pictures?

In order to answer this question we must ask first, What are the

different kinds of pictures? One answer, at least, is at once

suggested to the student on a comparison of the pictures with

their groupings according to subjects. All those which represent

the Madonna enthroned, with all variations, with or without

saints, shepherds, or Holy Family, are very quiet in their action;

that is, it is not really an action at all which they represent,

but an attitude,--the attitude of contemplation. This is no

less true of the pictures we may call "Adorations," in which,

indeed, the contemplative attitude is still more marked. On the

other hand, such pictures as the "Descents," the "Annunciations,"

and very many of the miscellaneous religious, allegorical, and

genre pictures, portray a definite action or event. Now the

pyramid type is characteristic of the "contemplative" pictures

in a much higher degree. A class which might be supposed to

suggest the same treatment in composition is that of the portraits,

--absolute lack of action being the rule. And we find, indeed,

that no single type is represented within it except the pyramid

and double-pyramid, with eighty-six per cent. of the former.

Thus it is evident that for the type of picture which expresses

the highest degree of quietude, contemplation, concentration,

the pyramid is the characteristic type of composition. Among

the so-called "active" pictures, the diagonal and V-shaped types

are most numerous.

The landscape picture presents a somewhat different problem. It

cannot be described as either "active" or "passive," inasmuch as

it does not express either an attitude or an event. There is no

definite idea to be set forth, no point of concentration, as

with the altar-pieces and the portraits, for instance; and yet

a unity is demanded. An examination of the proportions of the

types shows at once the characteristic type to be here also the

diagonal and V-shaped.

It is now necessary to ask what must be the interpretation of

the use of these types of composition. Must we consider the

pyramid the expression of passivity, the diagonal or V-shape, of

activity? But the greatly predominating use of the second for

landscapes would remain unexplained, for at least nothing can

be more reposeful than the latter. It may aid the solution of

the problem to remember that the composition taken as a whole

has to meet the demand for unity, at the same time that it

allows free play to the natural expression of the subject. The

altar-piece has to bring about a concentration of attention to

express or induce a feeling of reverence. This is evidently

accomplished by the suggestion of the converging lines to the

fixation of the high point in the picture,--the small area

occupied by the Madonna and Child,--and by the subordination

of the free play of other elements. The contrast between the

broad base and the apex gives a feeling of solidity, of repose;

and it seems not unreasonable to suppose that the tendency to

rest the eyes above the centre of the picture directly induces

the associated mood of reverence or worship. Thus the

pyramidal form serves two ends; primarily that of giving unity,

and secondarily, by the peculiarity of its shape, that of

inducing the feeling-tone appropriate to the subject of the

picture.

Applying this principle to the so-called "active" pictures, we

see that the natural movement of attention between the different

"actors" in the picture must be allowed for, while yet unity is

secured. And it is clear that the diagonal type is just fitted

for this. The attention sweeps down from the high side to the

low, from which it returns through some backward suggestion of

lines or interest in the objects of the high side. Action and

reaction--movement and return of attention--is inevitable under

the conditions of this type; and this it is which allows the

free play,--which, indeed, CONSTITUTES and expresses the activity

belonging to the subject, just as the fixation of the pyramid

constitutes the quietude of the religious picture. Thus it is

that the diagonal composition is particularly suited to portray

scenes of grandeur, and to induce a feeling of awe in the

spectator, because only here can the eye rove in one large sweep

from side to side of the picture, recalled by the mass and

interest of the side from which it moves. The swing of the

pendulum is here widest, so to speak, and all the feeling-tones

which belong to wide, free movement are called into play. If,

at the same time, the element of the deep vista is introduced,

we have the extreme of concentration combined with the extreme

of movement; and the result is a picture in the "grand style"

--comparable to high tragedy--in which all the feeling-tones

which wait on motor impulses are, as it were, while yet in the

same reciprocal relation, tuned to the highest pitch. Such a

picture is the "Finding of the Ring," Paris Bordone, in the

Venice Academy. All the mass and the interest and the suggestion

of the downward lines and of the magnificent perspective toward

the left, and the effect of the whole space composition is of

superb largeness of life and feeling. Compare Titian's

"Presentation of the Virgin," also the two great compositions

by Veronese, "Martyrdom of St. Mark," etc., in the Doge's Palace,

Venice, and "Esther before Ahaseurus," in the Uffizi, Florence.

In these last two, the mass, direction of interest, movement,

and attention are toward the left, while all the lines tend

diagonally to the right, where a vista is also suggested,--the

diagonal making a V just at the end. Here, too, the effect is

of magnificence and vigor.

If, then, the pyramid belongs to contemplation, the diagonal

to action, what ca be said of landscape? It is without action,

it is true, and yet does not express that positive quality, that

WILL not to act, of the rapt contemplation. The landscape

uncomposed is negative, and it demands unity. Its type of

composition, then, must give it something positive besides

unity. It lacks both concentration and action; but it can gain

them both from a space composition which shall combine unity

with a tendency to movement. And this is given by the diagonal

and V-shaped type. This type merely allows free play to the

natural tendency of the "active" picture; but it constrains the

neutral, inanimate landscape. The shape itself imparts motion

to the picture: the sweep of line, the concentration of the

vista, the unifying power of the inverted triangle between two

masses, act, as it were, externally to the suggestion of the

object itself. There is always enough quiet in a landscape,--

the overwhelming suggestion of the horizontal suffices for

that; it is movement that is needed for richness of effect, and,

as I have shown, no type imparts the feeling of movement so

strongly as the diagonal and V-shaped type of composition.

Landscapes need energy to produce "stimulation," not repression,

and so the diagonal type is proportionately more numerous.

The rigid square is found only at an early stage in the

development of composition. Moreover, all the examples are

"story" pictures, for the most part scenes from the lives of

the saints, etc. Many of them are double-centre,--square, that

is, with a slight break in the middle, the grouping purely

logical, to bring out the relations of the characters. Thus,

in the "Dream of Saint Martin," Simone Martini, a fresco at

Assisi, the saint lies straight across the picture with his

head in one corner. Behind him on one side stand the Christ

and angels, grouped closely together, their heads on the same

level. These are all, of course, in one sense symmetrical,--

in the weight of interest, at least,--but they are completely

amorphous from an aesthetic point of view. The forms, that is,

do not count at all,--only the meanings. The story is told by

a clear separation of the parts, and as, in most stories, there

are two principal actors, it merely happens that they fall into

the two sides of the picture. On the other hand, a rigid

geometrical symmetry is also characteristic of early composition,

and these two facts seem to contradict each other. But it is

to be noted, first, that the rigid geometrical symmetry belongs

only to the "Madonna Enthroned," and general "Adoration" pieces;

and secondly, that this very rigidity of symmetry in details

can coexist with variations which destroy balance. Thus, in a

"Madonna Enthroned" of Giotto, where absolute symmetry in detail

is kept, the Child sits far out on the right knee of the Madonna.

It would seem that the symmetry of these early pictures was not

dictated by a conscious demand for symmetrical arrangement, or

rather for real balance, else such failures would hardly occur.

The presence of geometrical symmetry is more easily explained

as the product, in large part, of technical conditions: of the

fact that these pictures were painted as altar-pieces to fill

a space definitely symmetrical in character--often, indeed,

with architectural elements intruding into it. We may even

connect the Madonna pictures with the temple images of the

classic period, to explain why it was natural to paint the

object of worship seated exactly facing the worshiper. Thus

we may separate the two classes of pictures, the one giving an

object of worship, and thus taking naturally, as has been said,

the pyramidal, symmetrical shape, and being moulded to symmetry

by all other suggestions of technique; the other aiming at

nothing except logical clearness. This antithesis of the

symbol and the story has a most interesting parallel in the two

great classes of primitive art--the one symbolic, merely suggestive,

shaped by the space it had to fill, and so degenerating into the

slavishly symmetrical; the other descriptive, "story-telling," and

without a trace of space composition. On neither side is there

evidence of direct aesthetic feeling. Only in the course of

artistic development do we find the rigid, yet often unbalanced,

symmetry relaxing into a free substitutional symmetry, and the

formless narrative crystallizing into a really unified and

balanced space-form. The two antitheses approach each other in

the "balance" of the masterpieces of civilized art--in which, for

the first time, a real feeling for space composition makes itself

felt.

V

THE BEAUTY OF MUSIC

V

THE BEAUTY OF MUSIC

I

THERE is a story, in Max Muller's amusing reminiscences, of

how Mendelssohn and David once played, in his hearing, Beethoven's

later sonatas for piano and violin, and of how they shrugged

their shoulders, and opined the old man had not been quite

himself when he wrote them. In the history of music it seems

to be a rule almost without exceptions, that the works of genius

are greeted with contumely. The same is no doubt true, though

to a much less degree, of other arts, but in music it seems that

the critics proposed also excellent reasons for their vehemence.

And it is instructive to observe that the objections, and the

reasons for the objections, recur, after the original object of

wrath has passed into acceptance, nay, into dominance of the

musical world. One may also descry one basic controversy running

through all these utterances, even when not explicitly set forth.

It was made a reproach to Beethoven, as it has been made a

reproach to Richard Strauss, that he sacrificed the beauty of

form to expression; and it was rejoined, perhaps less in the old

time than now, that expression was itself the end and meaning of

music. Now the works of genius, as we have seen, after all take

care of themselves. But it is of greatest significance for the

theory of music, as of all art, that in the circle of the years,

the same contrasting views, grown to ever sharper opposition,

still greet the appearance of new work. It was with Wagner, as

all the world knows, that the question came first to complete

formulation. His invention of the music-drama rested on his

famous theory of music as the heightened medium of expression,

glorified speech, which accordingly demands freedom to follow

all the varying nuances of feeling and emotion. Music has

always been called the language of the emotions, but Wagner

based his views not only on the popular notion, but on the

metaphysical theories of Schopenhauer; in particular, on the

view that music is the objectification of the will. Herbert

Spencer followed with the thesis that music has its essential

source in the cadences of emotional speech. In opposition

primarily to Wagner, the so-called formalists were represented

by Hanslick, who wrote his well-known "The Beautiful in Music"

to show that though music ha a limited capacity of expression,

its aim is formal or logical perfection alone. The expressionist

school could not contradict the undoubted fact that chords and

intervals which are harmonious show certain definite physical

and mathematical relationships, that, in other words, our

musical preferences appear to be closely related to, if not

determined by, these relationships. Thus each school seemed

to be backed by science. The emotional-speech theory has been

held in a vague way, indeed, by most of those theorists whose

natural conservatism would have drawn them in the other

direction, and is doubtless responsible for the attempts at

mediation, first made by Ambros,<1> and now met in almost all

musical literature. Music may be, and is, expressive, it is

said, so long as each detail allows itself to be entirely

derived from and justified by the mere formal element. The

"centre of gravity" lies in the formal relations.

<1> _The Boundaries of Music and Poetry._

To this, after all, Hanslick himself might subscribe. Other

writers seek to balance form and expression, insisting on

"the dual nature of music," while resting ultimately on the

emotional-speech theory. "The most universal composers,

recognizing the interdependence of the two elements, produce

the highest type of pure music, music in which beauty is based

upon expression, and expression transfigured by beauty."<1>

<1> D.G. Mason, _From Grieg to Brahms_, 1902, p. 30.

This usual type of reconciliation, however, is a perfectly

mechanical binding together of two possibly conflicting

aesthetic demands. The question is of the essential nature

of music, not whether music may be, but whether it must be,

expressive; not whether is has expressive power, but whether

it is, in its essence, expression,--a question which is only

obscured by insisting on the interdependence of the two

elements. If music has its essential source in the cadences

of speech, then it must develop and must be judged accordingly.

Herbert Spencer is perfectly logical in saying "It may be

shown that music is but an idealization of the natural

language of emotion, and that, consequently, music must be

good or bad according as it conforms to the laws of this

natural language."<1> But what, then, of music which,

according to Ambros, is justified by its formal relations?

Is music good because it is very expressive, and bad because

it is too little expressive? or is its goodness and badness

independent of its expressiveness? Such a question is not

to be answered by recognizing two kinds of goodness. Only

by an attempt to decide the fundamental nature of the musical

experience, and an adjustment of the other factors in strict

subordination to it, can the general principle be settled.

<1> _On Educaiton_, p. 41.

The excuse for this artificial yoking together of two opposing

principles is apparent when it is seen that form and expression

are taken as addressing themselves to two different mental

faculties. It seems to be the view of most musical theorists

that the experience of musical form is a perception, while the

experience of musical expression, disregarding for the moment

the suggestion of facts and ideas, is an emotion. Thus Mr.

Mason: "In music we are capable of learning, and knowledge

of the principles of musical effect can help us to learn, that

the balance and proportion and symmetry of the whole is far

more essential than any poignancy, however great, in the parts.

He best appreciates music...who understands it intellectually

as well as feels it emotionally;"<1> and again, "We feel in

the music of Haydn its lack of emotional depth, and its lack

of intellectual subtlety."

<1> Op. Cit., p. 6.

It is just this contrast and parallelism of structure as

balance, proportion, symmetry, addressed to the mind, with

expression as emotional content, that a true view of the

aesthetic experience would lead us to challenge. If there

is one thing that our study of the general nature of aesthetic

experience has shown, it is that aesthetic emotion is unique--

neither a perception nor an intellectual grasp of relations,

nor an emotion within the accepted rubric--joy, desire,

triumph, etc. Whether or not music is an exception to this

principle, remains to be seen; but the presumption is at

least in favor of a direct, immediate, unique emotion aroused

by the true beauty of music, whatever that may prove to be.

With a great literature in the form of special studies, we

must yet, on the whole, admit that we possess no general

formula in the philosophy or psychology of music which covers

the whole ground. Schopenhauer has said that music is the

objectification of the will--not a copy or a picture of it,

but the will itself; a doctrine which however illuminating

when it is modified in various ways is obviously no explanation

of our experience. Hanslick has but shown what music is not;

Edmund Gurney's eloquent book, "The Power of Sound," is

completely agnostic in its conclusion that music is a unique,

indefinable, indescribable phenomenon, which possesses, indeed,

certain analogues with other physical and psychical facts, but

is coextensive with none. Spencer's theory of music as

glorified speech is not only in a yet unexplained conflict

with many facts, but has never been formulated so that it could

apply to concrete cases. The same is true of Wagner's "music

as the utterance of feeling."

But there is a body of scientific facts respecting the elements

of music, in which we may well seek for clues. As facts alone

they are of no value. They must be explained as completely as

possible; and it is probable that if we are able to reach the

ultimate nature and origin of these elements of music they

will prove significant, and a way will be opened to a theory

of the whole musical experience. The need of such intensive

understanding must excuse the more or less technical discussions

in the following pages, without which no firm foundation for a

theory of music could be attained.

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