While xenakis could well have composed this music in hand the intensity of the computations necessary to transform math probabilistic musical notation should depend on the number of computing power from the computer. For example the same equation can be done to produce a lyrical and melodic piece of music in the style of the mid nineteenth century and a formidable dissonant cacophony more reminiscent of the avant garde music of and s. Since the invention of midi system in the early s for example some people have worked on the programs that plan to midi notes and then an algorithm can be output sounds or music through the computer a sound card or writing an audio file to other programs to play. The result music may be more like noise or may seem very familiar and enjoyable. Ltbrgt ltbrgt some of these programs are based on simple fractal geometry and can map midi notes to specific fractals or fractal equations. One of them was musikalisches w�rfelspiel a system that uses throws of the dice to randomly select measures of a large collection of small expressions.
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