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Francois Arago

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In the experimental sciences, the epochs of the most brilliant progress are almost always separated by long intervals of almost absolute repose.
--
Joseph Fourier, p. 411

 
Francois Arago

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The achievement of such a change of register through a sequential progression is a familiar procedure in the music of the "common practice." The signifigant distinction is that where Berg subdivides the registral span into equal, i.e., cyclic, intervals, his tonal predecessors subdivide it, in changing register through sequential transference, into the unequal intervals of the diatonic scale. As I pointed out in my last lecture, however, the qualitative transformation in the language of music which we have experienced in our century has a long prehistory. Beginning with Schubert, we occasionally find normal diatonic functions questioned in changes of key that progress along the intervals of the whole-tone scale, or the diminished-7th chord, or the augmented triad. An even more radical example of a cyclic progression in a tonal composition is...from Wagner (Die Walkure, Act III).

 
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