The author will discuss the direction and goals of his research into applications of fractal processes to automated musical composition. Factors relating to the choice of fractal methods, the application of geometric formalisms to music, and the aesthetic implications of self-similarity- will be discussed. Tape recorded examples of musical fractals will be played. The report will conclude with a summary of problems encountered and challenges presented to future research in this area
Fractals are mathematically defined objects with self-similar detail on every level of magnification...
Self-similarity is the phenomenon when any fragment of an object is similar to the whole of the obje...
Fractal geometry is a branch of mathematics that deals with, on a basic level, repeating geometric p...
Among the many definitions of the fractal employed by mathematicians, one of the most suggestive hol...
It has become evident that fractals are not to be tied down to one compact, Webster-style, paragraph...
AbstractThis paper is a chronicle of the composition of four pieces during the period 1988–1993: The...
One of the most common tools for evaluating data is regression. This technique, widely used by indus...
The author will describe the results of a research project involving the investigation of Joseph Sch...
This article explains how to make compositions using mathematical formulas and geometric constructio...
My intention in this book was to explain the essence of fractal geometry to the design community. Ma...
Many natural phenomena we find in our surroundings, are fractals. Studying and learning about fract...
Fractals are geometric shapes and patterns that can describe the roughness (or irregularity) present...
Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that dist...
dissertationThis dissertation is comprised of two parts: an analytical paper assessing the "fractal"...
A wide variety of computer-generated music exists. I have writ.ten a program which will generate mus...
Fractals are mathematically defined objects with self-similar detail on every level of magnification...
Self-similarity is the phenomenon when any fragment of an object is similar to the whole of the obje...
Fractal geometry is a branch of mathematics that deals with, on a basic level, repeating geometric p...
Among the many definitions of the fractal employed by mathematicians, one of the most suggestive hol...
It has become evident that fractals are not to be tied down to one compact, Webster-style, paragraph...
AbstractThis paper is a chronicle of the composition of four pieces during the period 1988–1993: The...
One of the most common tools for evaluating data is regression. This technique, widely used by indus...
The author will describe the results of a research project involving the investigation of Joseph Sch...
This article explains how to make compositions using mathematical formulas and geometric constructio...
My intention in this book was to explain the essence of fractal geometry to the design community. Ma...
Many natural phenomena we find in our surroundings, are fractals. Studying and learning about fract...
Fractals are geometric shapes and patterns that can describe the roughness (or irregularity) present...
Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that dist...
dissertationThis dissertation is comprised of two parts: an analytical paper assessing the "fractal"...
A wide variety of computer-generated music exists. I have writ.ten a program which will generate mus...
Fractals are mathematically defined objects with self-similar detail on every level of magnification...
Self-similarity is the phenomenon when any fragment of an object is similar to the whole of the obje...
Fractal geometry is a branch of mathematics that deals with, on a basic level, repeating geometric p...