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This paper focuses on the modeling of musical melodies as networks. Notes of a melody can be treated as nodes of a network. Connections are created whenever notes are played in sequence. We analyze some main tracks coming from different…

Sound · Computer Science 2017-09-29 Stefano Ferretti

The abstraction of musical structures (notes, melodies, chords, harmonic or rhythmic progressions, etc.) as mathematical objects in a geometrical space is one of the great accomplishments of contemporary music theory. Building on this…

Sound · Computer Science 2019-05-07 Marco Buongiorno Nardelli

We introduce the concept of dynamical score networks for the representation and analysis of tonal compositions: a score is interpreted as a dynamical network where every chord is a node and each progression links successive chords. This…

Sound · Computer Science 2021-01-28 Marco Buongiorno Nardelli

We report an approach to obtaining complex networks with diverse topology, here called syntonets, taking into account the consonances and dissonances between notes as defined by scale temperaments. Though the fundamental frequency is…

Sound · Computer Science 2020-12-09 Luciano da Fontoura Costa , Henrique Ferraz de Arruda

Music is inherently complex, with structures and interactions that unfold across multiple layers. Complex networks have emerged as powerful structures for the quantitative analysis of Western classical music, revealing significant features…

Sound · Computer Science 2025-06-11 Dima Mrad , Sara Najem

Notes in a musical piece are building blocks employed in non-random ways to create melodies. It is the "interaction" among a limited amount of notes that allows constructing the variety of musical compositions that have been written in…

Sound · Computer Science 2016-10-06 Stefano Ferretti

In a previous submission, we established a fundamental relation between tone networks and configurations. It was shown that the Eulerian tonnetz can be represented by a $\{12_3\}$ of Daublebsky von Sterneck type D222. We also constructed a…

Combinatorics · Mathematics 2026-04-23 Jeffrey R. Boland , Lane P. Hughston

Statistical models and information theory have provided a useful set of tools for studying music from a quantitative perspective. These approaches have been employed to generate compositions, analyze structural patterns, and model cognitive…

Physics and Society · Physics 2025-09-30 Linus Chen-Plotkin , Suman S. Kulkarni , Dani S. Bassett

In this article, a framework for defining and analysing a family of graphs or networks from symbolic music information is discussed. Such graphs concern different types of elements, such as pitches, chords and rhythms, and the relations…

Social and Information Networks · Computer Science 2024-04-24 Alberto Alcalá-Alvarez , Pablo Padilla-Longoria

This paper presents an approach to model melodies (and music pieces in general) as networks. Notes of a melody can be seen as nodes of a network that are connected whenever these are played in sequence. This creates a directed graph. By…

Sound · Computer Science 2016-11-18 Stefano Ferretti

Can music be represented as a meaningful geometric and topological object? In this paper, we propose a strategy to describe some music features as a polyhedral surface obtained by a simplicial interpretation of the \textit{Tonnetz}. The…

Sound · Computer Science 2016-02-03 Mattia G. Bergomi , Adriano Baraté , Barbara Di Fabio

Musical pieces can be modeled as complex networks. This fosters innovative ways to categorize music, paving the way towards novel applications in multimedia domains, such as music didactics, multimedia entertainment and digital music…

Information Retrieval · Computer Science 2017-09-18 Stefano Ferretti

Topological data analysis has been recently applied to investigate stylistic signatures and trends in musical compositions. A useful tool in this area is Persistent Homology. In this paper, we develop a novel method to represent a weighted…

Sound · Computer Science 2022-04-26 Martín Mijangos , Alessandro Bravetti , Pablo Padilla

We study the topology of several music recommendation networks, which rise from relationships between artist, co-occurrence of songs in playlists or experts' recommendation. The analysis uncovers the emergence of complex network phenomena…

Physics and Society · Physics 2012-05-14 Pedro Cano , Oscar Celma , Markus Koppenberger , Javier M. Buldú

Music has a complex structure that expresses emotion and conveys information. Humans process that information through imperfect cognitive instruments that produce a gestalt, smeared version of reality. How can we quantify the information…

Physics and Society · Physics 2023-09-06 Suman Kulkarni , Sophia U. David , Christopher W. Lynn , Dani S. Bassett

Orchestral concert programming is a challenging, yet critical task for expanding audience engagement and is usually driven by qualitative heuristics and common musical practices. Quantitative analysis of orchestral programming has been…

Applications · Statistics 2020-09-18 Anna K. Yanchenko

How do different musical traditions achieve tonal coherence? Most computational measures to date have analysed tonal coherence in terms of a single dimension, whereas a multi-dimensional analyses have not been sufficiently explored. We…

Sound · Computer Science 2026-03-31 Weilun Xu , Edward Hall , Martin Rohrmeier

We analyze the existence of community structures in two different social networks obtained from similarity and collaborative features between musical artists. Our analysis reveals some characteristic organizational patterns and provides…

Physics and Society · Physics 2009-11-13 T. Teitelbaum , P. Balenzuela , P. Cano , J. M. Buldu

Heterogeneous networks play a key role in the evolution of communities and the decisions individuals make. These networks link different types of entities, for example, people and the events they attend. Network analysis algorithms usually…

Computers and Society · Computer Science 2016-11-17 Rumi Ghosh , Kristina Lerman

Recently, some single-step systems without onset detection have shown their effectiveness in automatic musical tempo estimation. Following the success of these systems, in this paper we propose a Multi-scale Grouped Attention Network to…

Audio and Speech Processing · Electrical Eng. & Systems 2021-09-06 Xiaoheng Sun , Qiqi He , Yongwei Gao , Wei Li
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