Existuje spojenie medzi zlatým rezom a Mozartovými klavírnymi sonátami?
Is there a Link between the Golden Section and Mozart’s Piano Sonatas?

Summary/Abstract: The aim of this work was to search for the presence of the golden number Φ in selected Mozarťs piano sonatas. For this purpose, we have examined the thematic structure of the first movement of such sonatas. Furthermore, taking the relationship between the golden ratio and the Fibonacci Series into account, we have performed a spectral analysis of musical signals obtained by sonatas, in order to find a possible link between the main spectral peaks of frequency and consecutive Fibonacci numbers. Our results "mathematically" confirm the high sense of proportions in Mozart, and that the most pleasing proportion Φ is reached in some particular works (K 333, K 448 and K 457), but not in other pieces, like K 310.

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