Goldbach- Variations – Alalisis

Analisis of the 23 trichordal Variations on Goldbach's conjecture for piano

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Detailled analisis of the Goldbach- Variations.
The present Goldbach- Variations are the attempt to oppose this traditional tendency of symmetric partitions of durations. There are 23 Variations which lengths corresponds to the 23 first primes. The varied theme is no particular melody or harmony but the partition of all occurring durations or numbers in possibly different primes, which then are subdivided again in more primes and so on.
Which regard to the harmony, I use different types of „trichordal Hexachords“, namely always a new Hexachord for each bar. If a piece is made of different sections (of course a prime number of sections), so their lengths behave in relation to primes, and wherever a longer part is subdivided in more shorter ones, the ratio of the latter is always correspondent to further different primes. Moreover if equal values follow each other their number will always be a prime.