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https://repositorio.ufba.br/handle/ri/18289
metadata.dc.type: | Artigo de Periódico Artigo de Periódico |
Title: | Ave Maria, fractals and mathematics |
Authors: | Nascimento, Marcio Luis Ferreira |
metadata.dc.creator: | Nascimento, Marcio Luis Ferreira |
Abstract: | Music critics have compared some classical music like that from Bach to the precision of mathematics. Mathematicians disagree on a precise definition, but a fractal is typically described as exhibiting self-similarity, which means identical (or nearly identical) patterns appear, whether the shape is viewed from up close or far away. That is, the part looks like the whole, and the whole looks like a part. However, identifying fractals in music requires a different approach than seeing them in an image. The purpose of this short note is to suggest that Ave Maria of Bach/Gounod could be related to mathematics, at least in part (or just viewed), as a sound example of Mandelbrot’s fractal geometry, due to its simple self-similarity on melody |
Keywords: | Music Mathematics Bach |
metadata.dc.publisher.country: | Brasil |
Publisher: | Mathematics in School |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/18289 |
Issue Date: | Jan-2016 |
Appears in Collections: | Artigo Publicado em Periódico (PEI) |
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