Publisher's Synopsis
Another evidence of Form in music, that is at once subtle and powerful, rests upon what might be termed the linear quality of melody. The famous old definition of a line as a "succession of points," tallies so accurately with that of melody (as a "succession of single tones"), that it is not only proper, but peculiarly forceful, to speak of melodies as tone-lines. Our conception of a melody or tune, our ability to recognize and reproduce it, depends far more upon its undulations, its rising, falling, or resting level, than upon its rhythmic features (the varying lengths of its tones). These movements trace a resonant line before our mind's eye as surely, though perhaps not as distinctly, as the pencil of the artist traces the lines of an image upon the paper; and this process is going on constantly, from beginning to end, in every piece of music.
