Algorithmic Composition: Paradigms of Automated Music by Gerhard Nierhaus

By Gerhard Nierhaus

Algorithmic composition – composing by way of formalizable tools – has a century outdated culture not just in occidental song historical past. this can be the 1st e-book to supply a close assessment of well known tactics of algorithmic composition in a realistic method instead of by means of treating formalizable facets in unmarried works. as well as an old evaluation, each one bankruptcy provides a selected classification of set of rules in a compositional context by means of supplying a normal creation to its improvement and theoretical foundation and describes various musical purposes. every one bankruptcy outlines the strengths, weaknesses and attainable aesthetical implications as a result of the applying of the handled ways. themes lined are: markov versions, generative grammars, transition networks, chaos and self-similarity, genetic algorithms, mobile automata, neural networks and synthetic intelligence are lined. the excellent bibliography makes this paintings excellent for the musician and the researcher alike.

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Beginning with one of the first palindromes “Sator Arepo Tenet Opera Rotas,” first documented by archaeological excavations in Pompeii, up to the different methods of rule-bound literature of Raymond Queneau, the tools applied have a wide range. Queneau was a founding member of “Oulipo” (short for French “Ouvroir de Litt´erature Potentielle”) whose members aimed at expanding literature by means of formal principles. Two examples of Queneau are now demonstrated. In “cent milliards de pomes,” for a sonnet comprising a total of fourteen lines, 1014 possible sonnets can result from ten different verse lines each.

Manuscripts Division. Department of Rare Books and Special Collections. Princeton University Library. Reproduced with kind permission by Princeton University Library. The works of Albert Thoralf Skolem (1887–1963) and Jacques Herbrand (1908– 1931), finally led to the restriction regarding the predicate calculus that for a proposition true in the calculus, its truth can be proven in a finite number of steps; in the other case the proof may be either successful or not. This situation is also referred to 48 2 Historical Development of Algorithmic Procedures as the semi-decidability of the predicate calculus.

Gunter combined the concepts of Napier’s logarithms and the calculating rods of the English mathemati- 30 2 Historical Development of Algorithmic Procedures Fig. 15 Multiplication with Napier’s rods. cian William Oughtred (1574–1660) and developed the basic concept of the slide rule that was still used in the second half of the 20th century. The first model of an actual calculating machine that also used the principle of Napier’s bones was designed by Wilhelm Schickard (1592–1635), professor of astronomy at T¨ubingen University, around 1623.

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