论文标题
贝多芬四重奏的谐波结构：一种复杂的网络方法
Harmonic structures of Beethoven quartets: a complex network approach
论文作者
论文摘要
我们提出了一种复杂的网络方法，用于支撑西方音调的谐波结构。从贝多芬的字符串四重奏的数据库中，我们构建了一个有向网络，其节点是音乐和弦和边缘相互关注的和弦。我们表明，应用排名算法时，网络是无标度的，并且具有特定的属性。我们探索了其社区结构及其音乐解释，并提出了源自网络理论的统计措施，从而可以在构图时期进行风格区分。我们的工作为音调和谐的结构属性的网络方法打开了道路。
We propose a complex network approach to the harmonic structure underpinning western tonal music. From a database of Beethoven's string quartets, we construct a directed network whose nodes are musical chords and edges connect chords following each other. We show that the network is scale-free and has specific properties when ranking algorithms are applied. We explore its community structure and its musical interpretation, and propose statistical measures stemming from network theory allowing to distinguish stylistically between periods of composition. Our work opens the way to a network approach of structural properties of tonal harmony.
