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Title Is the evolution of jazz described by a log periodic law?
Author BRISSAUD Ivan
Keywords Fractals, Jazz, Log periodicity law, Temporal tree structure
Topics Fractal, Modelling, Music, Time Series, Trees
Abstract The evolution of different phenomena in biology, society, economy, human development. can be described by series of cycles and leaps. Many authors adjust a log periodic behavior to these chronologies. Here, we suggest applying such a model to the Jazz steps (Archaic Jazz, New Orleans, Jazz Hot, Swing.). In this case we show an acceleration of the cycles up to a critical time at the middle of the fifties (so called "Cool Jazz" epoch) before a deceleration corresponding to an increasing influence of African, South American. musics over the Jazz. We find a significant agreement between the model and the data. In conclusion a question remains: is a chronology of historical evolution predictable?
Number 178, Summer 2007, special issue: Art, mathematics, language and emotion
Language   French
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