Editing Algorithmic composition (section)

===Mathematical models===
Mathematical models are based on mathematical [[equation]]s and random events. The most common way to create compositions through mathematics is [[stochastic process]]es. In stochastic models a piece of music is composed as a result of non-[[deterministic]] methods. The compositional process is only partially controlled by the composer by weighting the possibilities of random events. Prominent examples of stochastic algorithms are [[Markov chain]]s and various uses of [[Gaussian distribution]]s. Stochastic algorithms are often used together with other algorithms in various decision-making processes.

Music has also been composed through natural phenomena. These chaotic models create compositions from the [[harmonic]] and inharmonic phenomena of nature. For example, since the 1970s [[fractal]]s have been studied also as models for algorithmic composition.

As an example of deterministic compositions through mathematical models, the [[On-Line Encyclopedia of Integer Sequences]] provides an option to play an [[integer sequence]] as [[12-tone equal temperament]] music. (It is initially set to convert each integer to a note on an 88-key [[musical keyboard]] by computing the integer [[modulo]] 88, at a steady rhythm. Thus 123456, the natural numbers, equals half of a chromatic scale.) As another example, the all-interval series has been used for computer-aided composition.<ref>Mauricio Toro, Carlos Agon, Camilo Rueda, Gerard Assayag. "[http://www.jatit.org/volumes/Vol86No2/17Vol86No2.pdf GELISP: A Framework to Represent Musical Constraint Satisfaction Problems and Search Strategies]." ''Journal of Theoretical and Applied Information Technology'' 86 (2). 2016. 327–331.</ref>