El pensamiento matemático escondido en una sonata: la sonata para dos pianos y percusión de Béla Bartók y la sucesión de Fibonacci

• Autores: María Bejarano Gordejuela
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 93, 2013 (Ejemplar dedicado a: Profesor José Javier Etayo Miqueo), págs. 45-58
• Idioma: español
• Texto completo no disponible (Saber más ...)
• Resumen

  • The sonata for two pianos and percussion is structured fundamentally according to the beginning of the golden section. Along three movements, the mathematical proportion can be discovered which so much importance acquired in aesthetics of the Renaissance Europe. As an immediate consequence of the systematic utilization of this beginning, the series of Fibonacci will acquire a special relevancy in the whole work. All those numbers that belong to the series will have their importance in the structure, in the melody, harmony, dynamics etc. Another structural significant element is the construction of periods of bars that repeat themselves number of times equivalent to a power of 2.