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Goldbach

for flute (d. picc & alto fl), clarinet (d. bass cl), vln, vc, pno
(32’)
Movement #1 (excerpt) - Jason Carl Rosenberg
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Movement #2 (excerpt) - Jason Carl Rosenberg
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(Sample Score Page)

Goldbach is a meta-variation on J.S. Bach’s Goldberg Variations and a structural exploration of the Goldbach Conjecture.  The conjecture states that every even integer greater than 2 can be written as the sum of two primes.  It is one of the oldest unsolved problems in number theory and in all of mathematics.  I was attracted to the implication that though there may be no discernible pattern in primes, primes are themselves the pattern that the integers follow.  Relationships between the Goldbach Conjecture and the structuring principles of theGoldberg Variations were analyzed and became the models for constructing the musical and structural materials of this piece.    

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