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An Investigation of Melodic Musical Modeling Using Homogeneous and Non-Homogeneous Markov Chains

机译:用齐次和非齐次马尔可夫链进行旋律音乐建模的研究

摘要

As an actuarial science student, my observations have a different focus than the other composers. In the industry, actuaries arenu27t interested in a probability model for its own sake. Rather, they u22want to use the model to analyze the ... impact of the events being modeledu22 [Da]. This analysis focuses equally on the generation of the model as well as the results of the model. While other researchers have investigated many topics in the field of musical generation through mathematical means, no one has yet explored non-homogeneous and homogeneous models simultaneously. This study compares melodic material generated from both homogeneous and non-homogeneous models in an attempt to determine which model leads to a more accurate representation of the given melody.
机译:作为精算专业的学生,​​我的观察重点与其他作曲家不同。在行业中,精算师本身并不对概率模型感兴趣。相反,他们希望使用该模型来分析正在建模的事件的影响[Da]。该分析同等地侧重于模型的生成以及模型的结果。尽管其他研究人员通过数学手段研究了音乐产生领域中的许多主题,但还没有人同时探索非均质和同质模型。这项研究比较了均质模型和非均质模型产生的旋律材料,试图确定哪种模型可以更精确地表示给定的旋律。

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