When musicians perform in an ensemble, synchronizing to a mutual pace is the foundation of their musical interaction. Clock generators, e.g., metronomes, or drum machines, might assist such synchronization, but these means, in general, will also distort this natural, self-organized, inter-human synchronization process. In this work, the synchronization of musicians to an external rhythm is modeled using the Impulse Pattern Formulation (IPF), an analytical modeling approach for synergetic systems motivated by research on musical instruments. Nonlinear coupling of system components is described as the interaction of individually propagating and exponentially damped impulse trains. The derived model is systematically examined by analyzing its behavior when coupled to numerical designed and carefully controlled rhythmical beat sequences. The results are evaluated by comparison in the light of other publications on tapping. Finally, the IPF model can be applied to analyze the personal rhythmical signature of specific musicians or to replace drum machines and click tracks with more musical and creative solutions.
翻译:当音乐家以混合方式表演时,相互同步是他们音乐互动的基础。 时钟生成器,例如节拍器或鼓机,可能有助于这种同步,但一般来说,这些手段也会扭曲这种自然的、自我组织的、人际同步过程。 在这项工作中,音乐家与外部节奏同步的模型是使用因音乐仪器研究而激发的协同系统分析模型法(IPF)来模拟的。 系统部件的非线性组合被描述为个人传播和指数式摇晃脉动电动列的相互作用。 衍生模型通过分析其行为来系统检查,同时结合数字设计和仔细控制的节奏节奏序列。 其结果通过比较其他关于点击的出版物加以评估。 最后,森林小组模型可用于分析特定音乐家的个人有节奏的签名,或取代鼓式机器,用更多音乐和创造性的解决方案点击轨道。