论文标题
Midiverto：实时可视化音调的Web应用程序
midiVERTO: A Web Application to Visualize Tonality in Real Time
论文作者
论文摘要
本文介绍了一个网络应用程序，可在高水平的抽象和协调的播放中可视化音乐的音调（其和弦和鳞片的组织）。该应用程序将离散的傅立叶变换应用于MIDI文件的用户指定分段的沥青类域，并可视化傅立叶系数的轨迹。由于系数表明了不同的音乐属性，例如谐波功能，三校和多音量性，因此应用程序隔离了作品的音调方面，并显示了它们的及时发展。该应用程序的目的是通过使无需先进的数学知识或编程技能前面将离散的傅立叶变换应用于可访问的音高级域，以弥合数学音乐理论，音乐学和公众之间的差距。
This paper presents a web application for visualizing the tonality of a piece of music -- the organization of its chords and scales -- at a high level of abstraction and with coordinated playback. The application applies the discrete Fourier transform to the pitch-class domain of a user-specified segmentation of a MIDI file and visualizes the Fourier coefficients' trajectories. Since the coefficients indicate different musical properties, such as harmonic function, triadicity, and diatonicity, the application isolates aspects of a piece's tonality and shows their development in time. The aim of the application is to bridge a gap between mathematical music theory, musicology, and the general public by making the discrete Fourier transform as applied to the pitch-class domain accessible without requiring advanced mathematical knowledge or programming skills up front.
