规则分形在算法作曲中的应用
发布时间：2018-09-14 15:05
【摘要】：1967年，法国著名数学家曼德勃罗首次提出了“分形”这一概念，并于1975年创立了分形几何学。分形几何学是一门以非规则几何形态为研究对象的几何学，由于不规则现象在自然界是普遍存在的，因此分形几何又称为描述大自然的几何学。如今，分形理论已在数学、生物学、医学、经济学及艺术创作的研究方面有着广泛的应用。因此，分形理论有着重要理论研究的意义，并有着广泛的实际应用价值。 本文在学习、借鉴前人的研究成果基础上，对分形的基本理论、及分形规则在音乐创作上的应用进行研究。首先从理论上分析了分形特征在音乐中的普遍存在规律和分形规则在音乐创作上的可行性，并且利用Delphi作为辅助工具，实现一些带有分形规则的音乐创作。 新的音乐创作准则一直都是音乐家在艺术创作上的不断追求，本文将分形准则应用在音乐创作的规则中，，这给音乐创作提供了一个新的思路，同时也为音乐创作的准则开拓一个新的类型。
[Abstract]:In 1967, the famous French mathematician Mandborough first put forward the concept of "fractal" and founded fractal geometry in 1975. Fractal geometry is a kind of geometry which takes irregular geometry as the object of study. Because irregular phenomena are common in nature, fractal geometry is also called geometries to describe nature. Today, fractal theory has been widely used in mathematics, biology, medicine, economics and artistic creation. Therefore, fractal theory has important theoretical significance, and has a wide range of practical application value. This paper studies the basic theory of fractal and the application of fractal rules in music creation. Firstly, the universal existence of fractal features in music and the feasibility of fractal rules in music creation are analyzed theoretically, and some music creations with fractal rules are realized by using Delphi as a supplementary tool. The new criterion of music creation has always been the constant pursuit of musicians in artistic creation. In this paper, the fractal criterion is applied to the rules of music creation, which provides a new way of thinking for music creation. At the same time for the creation of music norms to open up a new type.
【学位授予单位】：武汉音乐学院
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：J614
本文编号：2243059
[Abstract]:In 1967, the famous French mathematician Mandborough first put forward the concept of "fractal" and founded fractal geometry in 1975. Fractal geometry is a kind of geometry which takes irregular geometry as the object of study. Because irregular phenomena are common in nature, fractal geometry is also called geometries to describe nature. Today, fractal theory has been widely used in mathematics, biology, medicine, economics and artistic creation. Therefore, fractal theory has important theoretical significance, and has a wide range of practical application value. This paper studies the basic theory of fractal and the application of fractal rules in music creation. Firstly, the universal existence of fractal features in music and the feasibility of fractal rules in music creation are analyzed theoretically, and some music creations with fractal rules are realized by using Delphi as a supplementary tool. The new criterion of music creation has always been the constant pursuit of musicians in artistic creation. In this paper, the fractal criterion is applied to the rules of music creation, which provides a new way of thinking for music creation. At the same time for the creation of music norms to open up a new type.
【学位授予单位】：武汉音乐学院
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：J614
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本文编号：2243059
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