George Perle on Igor Stravinsky
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“This intersecting of inherently non-symmetrical diatonic elements with inherently non-diatonic symmetrical elements seems to me the defining principle of the musical language of Le Sacre and the source of the unparalleled tension and conflicted energy of the work.”
“The diatonicism of Le Sacre du printemps should not be understood in the restrictive sense of the major/minor system, but in terms of something more basic. Like the symmetrical partitionings of the twelve-tone scale in Le Sacre, its diatonicism may also be explained in terms of interval cycles--more simply and coherently, in fact, than in terms of the traditional modes and scales. With the single exception of interval[-class] 5, every interval[-class] from 1 through 6 will partition the space of an octave into equal segments. A seven-note segment of the interval-5 cycle [C5], telescoped into the compass of an octave, divides the octave into unequal intervals--'whole-steps' and 'half-steps.'”