用二维模型量化古典与流行音乐的调性一致性差异
Diachronic Modeling of Tonal Coherence on the Tonnetz Across Classical and Popular Repertoires
- 基于音程网（Tonnetz）构建调性聚焦与调性连接双维度模型
- 分析2800首作品发现流行音乐调性聚焦更强，古典音乐调性连接更优
- 为音乐风格比较提供可解释的量化指标，适合音乐信息检索与生成
不同音乐传统如何实现调性连贯性？现有计算方法多基于单一维度，缺乏多维探索。本文提出新模型，基于音程网概念定义两个部分独立的度量：“调性聚焦”（音高内容靠近调心的程度）与“调性连接”（音高内容通过有结构的音程路径回归调心的程度）。对西方古典与流行传统超过2,800首作品的分析显示，两类音乐在二维空间中占据重叠但可区分的区域：流行音乐具有更高的调性聚焦，古典音乐则表现出更高的调性连接。该互补度量将不同调性风格的差异建立在定量证据之上，为计算音乐分析与可控生成提供了可解释的维度。
原文摘要 · Abstract (English)
How do different musical traditions achieve tonal coherence? Most computational measures to date have analysed tonal coherence in terms of a single dimension, whereas a multi-dimensional analyses have not been sufficiently explored. We propose a new model drawing on the concept of the Tonnetz -- we define two partially independent measures: \emph{tonal focus}, the concentration of pitch content near a tonal center; and \emph{tonal connection}, the degree to which pitch content reflects structured intervallic pathways back to that center. Analyzing over 2,800 pieces from Western classical and popular traditions, we find that these traditions occupy overlapping yet distinguishable regions of the two-dimensional space. Popular music shows higher tonal focus, while classical music exhibits higher tonal connection. Our complementary measures ground the differences between different tonal styles in quantitative evidence, and offer interpretable dimensions for computational music analysis and controllable generation.
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