Inproceedings,

midiVERTO: A Web Application to Visualize Tonality in Real Time

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Mathematics and Computation in Music, page 363--368. Cham, Springer International Publishing, (2022)
DOI: 10.1007/978-3-031-07015-0_31

Abstract

This paper presents a web application for visualizing the tonality of a piece of musicthe organization of its chords and scalesat 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 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.

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