How do fractals relate to chaos?
Fractals are infinitely complex patterns that are self-similar across different scales. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals.
What does chaos mean in music?
The generic term “chaos music” will refer to such music, where pitch is being controlled by a mathematical iterated function. Chaos Melody Theory will be compared to certain aspects of traditional Western music theory, however, this paper will not come to any absolute and profound conclusions.
What are fractals in music?
You can think of a musical fractal as groups of events combining to form larger groups of events, which themselves combine still larger groups — loops within loops within loops. Each group reflects the form of the whole, in pitch contour or patterns of tension and resolution or whatever.
What is chaos in pattern?
Chaos is the study of how simple patterns can be generated from complicated underlying behavior. Chaos theory is really about finding the underlying patterns in apparently random data.
What is chaos theory for Dummies?
Chaos theory, Bush says, is “really simply a statement of lack of precision on the initial conditions of a system. “Usually chaos is studied in equations that are some gross simplification of a physical system,” he says. “Here, it emerges from an exact description of the dynamics.”
Is the chaos theory true?
chaos theory, in mechanics and mathematics, the study of apparently random or unpredictable behaviour in systems governed by deterministic laws. In conventional analyses, randomness was considered more apparent than real, arising from ignorance of the many causes at work.
Does chaos mean noise?
The fundamental difference between noise and chaos is that noise is stochastic while chaos is deterministic.
What is Chaos Theory for Dummies?