Fractal Theory

Disciplines of Study [DoS]  >  Mathematics  ]

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.

 

See also:

Formalism

 

Bibliography:

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Alphabetical order - Chronological order

Hatzis, Christos (1998). {The Law of One}: Recursive structures in composition
HINOJOSA CHAPEL, Rubén (2003). Realtime Algorithmic Music Systems From Fractals and Chaotic Functions: Toward an Active Musical Instrument
MADDEN, Charles (1999). Fractals in Music. Introductory Mathematics for Musical Analysis
Milicevic, Mladen (1996). The Impact of Fractals, Chaos, and Complexity Theory on Computer Music Composition
Roads, Curtis, Pope, Steven Travis, Piccialli, Aldo, Poli, Giovanni De (Eds.) (1997). Musical Signal Processing

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