用算法复现作曲家帕特最复杂的乐曲，准确率达93%以上。
Algo Pärt: An Algorithmic Reconstruction of Arvo Pärt's Summa
- 基于音列规律构建算法，还原帕特标志性滴答风格。
- 生成乐谱与原作匹配度超93%，仅需修正3.5%错误即可完全复现。
- 适合音乐算法、作曲理论研究者参考，揭示艺术创作的可计算性。
作曲家阿沃·帕特是当代最具影响力的作曲家之一，以其独特的滴答风格（tintinnabuli）闻名。此类作品通常遵循精确的创作程序，甚至被描述为算法化作品。为探究帕特音乐的算法程度，本文采用分析与合成的方法：提出一个算法，几乎完整重建其自述为“结构最严格、编码最复杂”的作品《Summa》的乐谱。通过对滴答风格过程的形式化分析，实现的算法生成的乐谱在超过93%的音符上与原作一致。由于声部间的相互依赖，仅需修正其中一半的错误（约3.5%），即可忠实再现原作。研究证明，《Summa》本质上是一首高度算法化的作品，为理解帕特音乐提供了新视角。
原文摘要 · Abstract (English)
Arvo Pärt is one of the most popular contemporary composers, known for his highly original tintinnabuli style. Works in this style are typically composed according to precise procedures and have even been described as algorithmic compositions. To understand how algorithmic Pärt's music exactly is, this paper presents an analysis by synthesis: it proposes an algorithm that almost completely reconstructs the score of Summa, his "most strictly constructed and most encrypted work," according to Pärt himself in 1994. The piece is analyzed and then formalized using so-called tintinnabuli processes. An implementation of the resulting algorithm generates a musical score matching Summa in over 93% of the notes. Due to interdependencies between the voices, only half of the mistakes (3.5%) need to be corrected to reproduce the original score faithfully. This study shows that Summa is a largely algorithmic composition and offers new perspectives on the music of Arvo Pärt.
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