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Fractal Theory

分形理论/Fen1 Xing2 Li3 Lun4

碎形理論

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分形是几何学中的图形（不规则碎片形），它是单一图形（动机）的重复，而且其数值范围不断递减（“自相似性”）。Benoit B. Mandelbrot是这个领域的权威人物。分形理论以科学的方法研究分形的本质和它潜在的应用性。在音乐中，它可以作为一种工具应用在形式化作曲和声音合成方面。

A fractal is a geometric figure in which a single motif is repeated at a continuously decreasing scale ("self-similarity"). Its godfather is Benoit B. Mandelbrot. Fractal Theory is the scientific discipline that investigates the nature of fractals and potential application. It is applied in music both as a tool of formalised composition and in sound synthesis.

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Formalism/(形式主义);

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参考文献/Bibliography

标题	Title	副标题	Subtitle
混沌分形与音乐	Chaos, Fractal and Music
混沌分形与音乐关系的思索	Thinking of Chaos, Fractal and Music

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