Many structural aspects of music, such as tonality, can be expressed using hierarchical
representations. In music analysis, so-called keyscapes can be used to map a key estimate …

Algorithms strive to capture the intricacies of our complex world, but translating qualitative
aspects into quantifiable data poses a significant challenge. In our paper, we embark on a …

This article demonstrates how to obtain a periodicity-based description of cyclic rhythms
using the discrete Fourier transform and applies this to understanding Steve Reich's use of …

Godfried Toussaint occupied a unique place in music theory. The contributions in this
special issue honour his legacy and continue the work that he started in his uniquely …

Since pig vocalization is an important indicator of monitoring pig conditions, pig vocalization
detection and recognition using deep learning play a crucial role in the management and …

Mathemusicians have always produced models for understanding, analyzing or computing
music. We are used to visualize some of them on paper, in a theater or on a computer …

We give a definition of a what we call a “tonnetz” on a triangulated surface, generalizing the
famous Tonnetz of Euler (Euler, Leonhard. 1739. Tentamen novae theoriae musicae ex …

Traditional transformational music theory describes transformations between musical
elements as functions between sets and studies their subsequent algebraic properties and …

There are several works that already exist in the context of persistent homology for
Topological Musical Data Analysis, and we can cite and among others: in each one of these …

In this paper, we apply persistent homology, one of the main tools in Topological Data
Analysis, to the study of harmonic complexity of musical pieces. A directed weighted graph …