Of course, in our modern harmonic music the melodic movement proceeds by means, not of single tones, but of chords. Yet no new principle is introduced by this fact. For the chords have in part merely the significance of highly enriched tones, the harmonized tones of the chords taking the place of the partials of the single notes and imparting a more voluminous color, which may have its own beauty as such; and, in addition, they simply confer upon the melody another dimension, as it were, the tonal relations of harmony and contrast operating between the tones of the chords simultaneously, as well as temporally between the successive elements of the melody.

The orderly beauty which the tonal relations confer upon music is further enriched and complicated by rhythm. Rhythm in music is of two sorts: a rhythm of time and a rhythm of accent, or increased loudness. Through the one, the duration of a musical composition is divided up into approximately equal parts filled by notes and rests of definite length, and through the other, the light notes are subordinated to the heavy notes. The two, however, are interrelated; for the bars are divided from each other by the accents, and the accents recur at approximately equal intervals.

The pleasure in rhythmical arrangement is derived from two sources: first, from the need for perspicuity which is fulfilled through the regular grouping of the tonal elements in the bars,—their length being adjusted to the average length of an attention wave, and the number of tones that fill them to the number of items which can be taken in at one act of attention,—and through the subordination of the light to the heavy within the bars, the bars to the measures, and the measures to the periods. The second source of satisfaction in rhythm is the combination of feelings of balance and harmony aroused—a rhythm is not only a pleasing perspicuous order, but an emotion. [Footnote: See chap. V, p.90] For every recurring accent and interval competes with its predecessor for the mind's attention, yet is in agreement with it since it, too, fulfills the law that pervades them all.

The full significance of both melody and rhythm depends, however, upon their interrelation, the concrete musical structure, the motive or melody in the complete sense, being an indissoluble unity of both. Now if we take the term will with a broad meaning, Schopenhauer's characterization of melody as an image of the will still remains the truest aesthetic interpretation of it. For, when we hear it, we not only hear, but attend to what we hear; we hear each tone in its relations of harmony or contrast or fulfillment to other tones, freighted with memories of its predecessors and carrying with it expectations, which the following tones fulfill or deny. The melody begins, let us suppose, with the tonic note. This note then becomes for us a plan or purpose; for as it goes, it leaves in the mind a memory of itself, no mere pale sensation—no image ever is—but a motor set, an expectation and desire to hear the note again. If the next note is harmonically related, this purpose is partially fulfilled and we get the satisfaction of a partial success. If, however, the tone does not belong to the tonic chord, but, let us suppose, to the subdominant, it comes as a hindrance, an obstacle, or perhaps as a new and rival purpose springing up in the course of the fulfillment of the old,—a purpose which can be satisfied only through the other tones of its chord. Hence the tension of conflicting expectations and the excitement as now the one and now the other is fulfilled in the succeeding notes. Yet, since all other harmonies are subordinated to the tonic harmony, and even through their very opposition increase our desire for it, they must give way to the fundamental purpose with which we started; and when the tonic does eventually triumph, it fulfills not only itself, but all lesser desires of the melody; in it we find what we have been seeking, we arrive where we set out to go. And in this success we not only obtain what we first wanted, but more—an experience enriched by every conflict, and harmonious ultimately through the inner adjustment and resolution of its elements; for in hearing the final note we hear the memories of all previous tones, also. When the departures from the keynote are many and distant and sudden, and the melody wanders into the bypaths of foreign harmonies, moving along broken and zigzag lines, it expresses an exciting, a dangerous and difficult adventure; when, however, the departures are gradual and confined for the most part within the limits of a single harmony, moving in a smooth and curving path, it expresses a life that is secure and happy, tending to repose as the line approaches the horizontal, and as repetitions of the same note predominate.

Rhythm enters into melody to differentiate and emphasize. By means of accent and time-value, the different tones are weighted and their relative value fixed. The heavy tones assert their will with a more insistent energy; the long tones upon which we linger make a deeper and more lasting impression; while the light and short tones in contrast become points of mere passing and transition. If, moreover, we include the element of tempo, then all the temporal feelings are introduced into melody—the excitement of rapid motion, the calmness of the slow; the agony of delay, of waiting and postponement, with the triumph and relief when the expected note arrives at last. Finally, the effects of shading must be added, the contrasts between piano and forte—loudness that brings the tones so near that they may seem threatening in their insistence; softness that makes them seem far away and dreamlike.

Following the large idea introduced by Schopenhauer, which was enriched by the minuter studies of Lotze, Wundt, and Lipps, we may sum the foregoing analysis in the statement that music expresses the abstract aspects of action, its ease or difficulty, its advance or retrocession, its home coming or its wandering, its hesitation or its surety, its conflicts and its contrasts, its force or its weakness, its swiftness or slowness, its abruptness or smoothness, its excitement or repose, its success or failure, its seriousness or play. Then, in addition, as we shall see, all modes of emotion that are congruous with this abstract form may by association be poured into its mold, so that the content of music becomes not a mere form of life, but life itself.

It is, of course, obvious that our analysis has confined itself to the barest elements of the musical experience. Our music to-day, with its many-voiced harmonies, with its procession of chords instead of single tones, with its modulation into related keys, has an infinite wealth and complexity defying description. A large part of the astonishing effect of music is derived from the fact that in a brief space we seem to hear and absorb so much: the careers of multitudinous lives compressed into an instant. Yet the meaning of the complex whole can be understood, I think, from such an analysis of the simple structure as has been given.

The methods by which the larger musical wholes are built up illustrate principles of aesthetic structure with which we are already familiar. There is the harmonious unification of parts through the simple repetition of motives, their inversion or imitation in higher or lower keys, either successively or simultaneously; the execution of the same theme in another time or tempo; and through the interweaving of themes. There is the balance of contrasted or competing themes; the subordination of the lesser to the more striking and insistent motives; the preparation for, emergence and triumph of, a final passage that resolves all dissonances and adjusts all conflicts. Because of music's abstractness, the connection between the parts of a musical composition may be loose or subtle, taxing the synthetic powers even of the educated listener; yet some contrast or analogy of feeling must always unite them. The structure of the whole may be either static or dramatic; in the former case the dramatic element is confined to the themes, the purpose of the whole being merely to work out all their significant variations,—to embroider and repeat them in new keys and rhythms and tempos, and to contrast them with other themes. Repetition is the great creative principle of musical development, the composer seeking to say over again in ever new forms what he has said before. And this, again because of the abstractness of music, is a significant process; to repeat the concrete is tiresome and trivial, but an abstract form is always enriched by appearing in a new shape.

The explanation of musical expression thus far given, although it suffices to account for the basis of all musical feeling, is, I think, inadequate to its full volume and intensity. There is a concreteness of emotional content in some musical compositions—an arousal of terror and longing and despair and joy—infinitely richer than any abstract forms of feeling.

To account for this, two sources of explanation suggest themselves. First, the arousing of emotions through deep-lying effects of rhythm. It is a well-known fact, cited in most discussions of this subject, that the motor mechanism of the body is somehow attuned to rhythm. When we hear rhythmical sounds, we not only follow them with the attention, we follow them also with our muscles, with hand and foot and head and heart and respiratory apparatus. Even when we do not visibly move in unison with the rhythm—as we usually do not—we tend to do so, which proves that in any case the motor mechanism of the body is stimulated and brought into play by the sounds. There is a direct psychophysical connection between the hearing of rhythmic sounds and the tendency to execute certain movements. But there is an equally direct relation between emotions and tendencies to movements, through which the former find expression and are given effect in the outer world. To every kind of emotion—love and hate and fear and sorrow and joy—there corresponds a specific mode of motor manifestation. The connection between rhythmic sound and emotion is therefore plain; the link is a common motor scheme. Rhythms arouse into direct and immediate activity the motor "sets" that are the physical basis of the emotions, and hence arouse the corresponding emotions themselves, without any ground for them outside of the organism. And these emotions, since they are aroused by the sounds and not by any object to which they might be directed and upon which they might work themselves off in a meaningful reaction, are interwoven into the sounds,—they and the sounds come to us as a single indissoluble whole of experience. The emotions become the content of the sounds. And hence the strangeness of the musical experience—the fact that we feel so deeply over nothing.