用勋伯格调性区域构建音乐和声系统，让算法更贴近真人作曲。
A System for Melodic Harmonization using Schoenberg Regions, Giant Steps, and Church Modes
- 基于勋伯格调性区域图设计和声逻辑，体现和弦间关系。
- 支持通过哼唱或乐器输入旋律，实现自然人机交互。
- 开源原型可试用，适合音乐创作与教学场景。
类似微软 Songsmith 的系统通过最小化和弦转换中的不协和度，自动为旋律配和声，虽能生成和谐音乐，但不符合实际音乐家的创作习惯。本文介绍原型系统 Harmonizer，它以勋伯格的调性区域图为底层数据结构，支持多种和声方法。该图表揭示了和弦间的内在关系，使和声可编程地强调特定音乐意图。在原型中，还整合了近期信号处理技术，允许作曲者通过哼唱或演奏乐器轻松输入旋律。Harmonizer 已开源于 GitHub，其独特和声效果的演示视频可在论文结果部分的 YouTube 页面观看。
原文摘要 · Abstract (English)
Systems such as Microsoft Songsmith automatically assign chords and harmony to a melody by minimizing the dissonance across all chord changes. Although this produces harmonious music, it is not what practicing musicians do. In this paper, I describe Harmonizer, a prototype system for melodic harmonization. Harmonizer uses Schoenberg's chart of regions as the underlying data structure that allows harmonization using several different methods. Because the chart reveals inter-chordal relationships, the harmonizations may be programmed to emphasize desired relationships. In the prototype Harmonizer, I also explore recent signal-processing methods that enable songwriters to easily input a melody by singing or by playing a musical instrument. The prototype Harmonizer is available on GitHub and a video demonstrating its distinctive harmonizations is on YouTube as explained in the Results section of the paper.
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