Automatic Tone Row Generation System Based on Twelve-tone Technique Used Genetic Algorithm
نویسندگان
چکیده
منابع مشابه
Mathematics and the Twelve-Tone System: Past, Present, and Future
The first major encounter of non-trivial mathematics and non-trivial music was in the conception and development of the twelve-tone system from the 1920s to the present. Although the twelve-tone system was formulated by Arnold Schoenberg, it was Milton Babbitt whose ample but non-professional background in mathematics made it possible for him to identify the links between the music of the secon...
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The classic set of pitch-class and row operations – transposition, inversion and retrograde – has been extended with new types of operations: first by Moperation and rotation, and more recently by a family of operations known as alpha, beta, gamma and delta. For a better understanding of these new operations, group theory enables us to find canonical forms that derive them, and to calculate the...
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ژورنال
عنوان ژورنال: Journal of Japan Society for Fuzzy Theory and Intelligent Informatics
سال: 2009
ISSN: 1881-7203,1347-7986
DOI: 10.3156/jsoft.21.792