Publications related to Set theory (music)

Computational modeling of interval distributions in tonal space reveals paradigmatic stylistic changes in Western music history

Martin Alois Rohrmeier, Fabian Claude Moss, Robert Lieck

Diachronic stylistic changes in music are to a large extent affected by composers' different choices, for example regarding the usage of tones, intervals, and harmonies. Analyzing the tonal content of pieces of music and observing them over time is thus in ...

Springernature2024

Data-Driven Music Theory: Curating and Investigating Large Corpora of Digitally Encoded Music Analyses

Johannes Hentschel

This dissertation on data-driven music theory is centered around curatorial practices concerning the creation, publication, and evaluation of large, expert-annotated symbolic datasets. With its primary interest in the harmony of European tonal music from i ...

EPFL2024

Fishing for complements with chord, scale, and rhythm nets

Daniel Harasim

The aim of this paper is to argue that complementation is an operation similarly fundamental to music theory as transposition and inversion. We focus on studying the chromatic complement mapping that translates diatonic seventh chords into 8-note scales wh ...

TAYLOR & FRANCIS LTD2023

Phantom Curves: Scientific Discovery through Interactive Music Visualization

Daniel Harasim, Fabian Claude Moss

We introduce phantom curves, a novel music-theoretical concept based on the discrete Fourier transform (DFT), and document the creative process that led to their discovery. In particular, we emphasize the importance of interactive web applications for musi ...

ACM2022

midiVERTO: A Web Application to Visualize Tonality in Real Time

Daniel Harasim, Fabian Claude Moss

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 pit ...

SPRINGER INTERNATIONAL PUBLISHING AG2022

Hearing functional harmony in jazz: A perceptual study on music-theoretical accounts of extended tonality

Martin Alois Rohrmeier, Daniel Harasim, Steffen Alexander Herff, Gabriele Cecchetti, Christoph Finkensiep

Functional harmony is an integral part of many repertoires in the Western musical practices, including both diatonic and extended tonality. In the latter context, music-theoretical accounts suggest that the three octatonic equivalence classes (OECs) consis ...

SAGE PUBLICATIONS LTD2022

Modeling and Inferring Proto-Voice Structure in Free Polyphony

Martin Alois Rohrmeier, Christoph Finkensiep

Voice leading is considered to play an important role in the structure of Western tonal music. However, the explicit voice assignment of a piece (if present at all) generally does not reflect all phenomena related to voice leading. Instead, voice-leading p ...

ISMIR2021

Learning music composition with recurrent neural networks

Florian François Colombo

Throughout this thesis, we are interested in modeling music composition. To do so, we study the association of music theory concepts with the learning capabilities of recurrent neural networks. Especially, we explore numerical formalizations of music so th ...

EPFL2021

Discovering Tonal Profiles with Latent Dirichlet Allocation

Martin Alois Rohrmeier, Fabian Claude Moss

Music analysis, in particular harmonic analysis, is concerned with the way pitches are organized in pieces of music, and a range of empirical applications have been developed, for example, for chord recognition or key finding. Naturally, these approaches r ...

2021

The Tonal Diffusion Model

Martin Alois Rohrmeier, Fabian Claude Moss, Robert Lieck

Pitch-class distributions are of central relevance in music information retrieval, computational musicology and various other fields, such as music perception and cognition. However, despite their structure being closely related to the cognitively and musi ...

2020

Comb Transducer for Generation of SH0 Mode in Crystalline Piezoelectric Membrane

Soumya Yandrapalli, Victor Plessky

It is shown that the comb IDT (CT) can efficiently excite SH0 mode in piezoelectric membrane of suitable orientation. The transducer has pitch equal to the wavelength (p=lambda) and the electrode size is half of the wavelength. As compared to conventional ...

IEEE2020

Axiomatic scale theory

Martin Alois Rohrmeier, Daniel Harasim

Scales are a fundamental concept of musical practice around the world. They commonly exhibit symmetry properties that are formally studied using cyclic groups in the field of mathematical scale theory. This paper proposes an axiomatic framework for mathema ...

TAYLOR & FRANCIS LTD2020

The Impact of Voice Leading and Harmony on Musical Expectancy

Martin Alois Rohrmeier, Markus Franz Josef Neuwirth, Robert Lieck

In Western tonal music, voice leading (VL) and harmony are two central concepts influencing whether a musical sequence is perceived as well-formed. However, experimental studies have primarily focused on the effect of harmony on the cognitive processing of ...

Nature Research2020

Transitions of Tonality: A Model-Based Corpus Study

Fabian Claude Moss

Tonality has been the cornerstone of Western music-theoretical discourse for centuries. This study addresses the subject, using traditional music analysis, data-driven corpus methods, and computational models, concentrating on historical changes of tonalit ...

EPFL2019