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mentary lines, since they never exceed very simple and obvious rhythmic proportions and the most common chords of the key. Recent investigations of the music of barbarous and half-civilized tribes show that the attainment of symmetry in the folk-song is a somewhat late experience. In many of the songs of the American Indians, for example, the first phrase moves practically along the track of the common chord; the second phrase frequently repeats the first, and in some instances the repetition goes on indefinitely without any answer or conclusion. In other cases a second phrase follows along the track of a closely related chord, but I have never noticed a case in which a third phrase appeared, corresponding to the first, after a digression of the second phrase into another chord. Generally the rhythm runs out with a series of what might be called inarticulate drum-beats, as if an impulse existed still unsatisfied, blindly making itself felt in these insignificant pulsations; an impulse which a finer melodic sense would have satisfied by the proper antithesis in relation to the first phrase, thus leaving the melody and the rhythm to complete themselves together, as always takes place in civilized music. The art of music seems to be an evolution from the sense of number and the feeling for the common chord, combined with a certain fondness for reverie, which in the earlier stages of the art was perhaps semi-religious in character, and in the later stages is more nearly related to the dance, until finally, in the highest stage, it is a reverie of the beautiful or the pathetic, pure and simple. The existence of the harmonic sense in rude natures, where music has not been heard, seems very difficult to account for, since, while it is true that any resonant tone contains the partial tones constituting the common chord, a resonant tone is very seldom heard among rude surroundings; and the discovery of the instinct of barbarous melodies to work themselves along the track of the chord is one of those unexpected finds of modern investigation which, while at first seeming to explain many things, are themselves excessively difficult to account for. In a sense, there is no difference in kind between the folk-song and the most complete and highly organized art-music; that is to say, both alike are primarily due to the operation of simple musical instincts working off along the track of rhythmic proportion and harmonic relati
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