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Plastic Number: Construction and Applications

izvorni znanstveni rad

izvorni znanstveni rad

Plastic Number: Construction and Applications

Vrsta prilog sa skupa (u zborniku)
Tip izvorni znanstveni rad
Godina 2013
Nadređena publikacija International Virtual Conference ARSA (Advanced Researsch in Scientific Area) 2012
Stranice str. 1523-1528
Status objavljeno

Sažetak

In this article we will construct plastic number in a heuristic way, explaining its relation to human perception in three-dimensional space through architectural style of Dom Hans van der Laan. Furthermore, it will be shown that the plastic number and the golden ratio special cases of more general definition. Finally, we will explain how van der Laan’s discovery relates to perception in pitch space, how to define and tune Padovan intervals and, subsequently, how to construct chromatic scale temperament using the plastic number.

Ključne riječi

Padovan sequence ; golden ratio ; music interval ; music tuning