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utmost equality and suppleness of the fingers, a much wider extension of the hand than any previous composer demanded (save possibly Schumann in the "Kreisleriana" and the "Phantasie"), and a melodic quality in all the voices. When to these are added the necessary discrimination of touch and the clear definition of the contrasting voices, together with a sensitive and changeful use of the pedal, the new worlds open. Beginning with the most advanced of these technical unfoldings, let us take the variations upon a theme from Paganini, of which there are two books. At first view the variations in the first book seem to address themselves exclusively to technical objects, the first variation containing a succession of sixths in the right hand which is extremely trying, the second variation having the same succession for the left hand. In the third variation a very capricious figure is taken as pattern, and the piano is covered in a new way. In the fourth variation there is a long capricious figure and trills high up in the treble with the weak fingers of the right hand. These trills are afterward transferred to the bass, where the thumb and second finger have them, the design being apparently technical. In the fifth variation a very characteristic trick of Brahms' music is brought out in strong light. It is his way of carrying on together a cantus firmus in two's and a counterpoint in three's. All his writing is full of this expedient, one design of which is to mystify the rhythm and to impart to the music a more flowing and ideal character, and at the same time to concentrate the attention of the player upon the large meter, with which these conflicting two's and three's never interfere. In the sixth variation a syncopated effect. In the seventh, very brilliant octave effects. In the eighth a sort of caprice. In the ninth, an extremely brilliant octave effect. In the tenth, the excitement quiets a little, and the variation begins _sotto voce_. In the eleventh, we enter the major key, and a very delightful and beautiful effect is here produced. The twelfth, again, begins to contain greater difficulties, and our old friend of the two's and three's greets us. The thirteenth, a very brilliant octave variation, which in the fourteenth is carried to a still higher point, and leads immediately to a finale, which concludes the first book. In the second book technical discussion of this theme is resumed with so
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