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This paper addresses the practical application of the cellular automata principle for the formation of elementary and complex algorithmic-combinatorial structures of audio data. The concept of utilizing the structural-algorithmic functionality of cellular automata is scientifically substantiated and technically justified, implying the direct generation of a multiband spectrum through functional programming. The dialect of LISP—Nyquist—is identified as the primary functional programming tool for experimental capabilities of cellular automata. A scientific and technical analysis of the functioning of cellular automata in the generation of various algorithmic-combinatorial structures of audio data according to Wolfram's rules 30 and 90 is conducted. Characteristics of the topologies of elementary cellular automata behaviors in the context of obtaining new audio materials are provided. The Dannenberg-Lewis experiment is reproduced, illustrating the application of the instrumental base of LISP-oriented programming languages in the context of generating new chaotic and fractal textures of audio materials. Technological factors influencing the reproduction of the experiment are refined considering the accelerated development of computing technology and the rapid growth of the scientific-practical base of audio engineering and computer science. Aspects of implementing the obtained applied results are updated, with a perspective on further advancing scientific knowledge within the scientific-experimental framework of modern audio informatics.
Keywords:Dannenberg-Lewis experiment, cellular automata, algorithmic-combinatorial structures of audio data, audio programming, computer audio synthesis, chaotic behavior, fractal topologies, LISP dialects, LISP-oriented languages, Nyquist programming language, Audacity®, Wolfram's rules, scientific analysis, computer science, audio engineering, audio informatics.
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