旋律轮廓并非离散类型，而是连续变化的。
Melodic contour does not cluster: Reconsidering contour typology
- 用UMAP降维后结合分布峰谷检验，验证旋律轮廓是否聚类
- 真实民歌与格列高利圣咏中无明显轮廓聚类现象
- 适合音乐分析、认知科学及旋律生成研究者阅读
如何描述旋律乐句的形状？学界常依赖少量轮廓类型进行分类。我们质疑其有效性：在德国民歌、中国民歌及格列高利圣咏中，均未发现旋律乐句轮廓存在聚类证据。本文提出基于UMAP降维后的分布峰谷检验（dist-dip test）来检测多模态性，该方法在合成数据上表现准确，但在真实旋律数据中未识别出聚类。这一结果挑战了离散类型划分的可靠性，尤其对胡伦的轮廓类型频次统计构成质疑。此外，近期发现四种轮廓形态可能源于分析方法的偏差。研究建议，旋律轮廓应被视为连续现象而非离散类别。
原文摘要 · Abstract (English)
How to describe the shape of a melodic phrase? Scholars have often relied on typologies with a small set of contour types. We question their adequacy: we find no evidence that phrase contours cluster into discrete types, neither in German or Chinese folksongs, nor in Gregorian chant. The test for clustering we propose applies the dist-dip test of multimodality after a UMAP dimensionality reduction. The test correctly identifies clustering in a synthetic dataset, but not in actual phrase contours. These results raise problems for discrete typologies. In particular, type frequencies may be unreliable, as we see with Huron's typology. We also show how a recent finding of four contour shapes may be an artefact of the analysis. Our findings suggest that melodic contour is best seen as a continuous phenomenon.
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