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Related papers: Computational approach to multifractal music

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Correlations in music that exist within its waveform are studied. Monophonic wave files of random music are generated and the probability distribution function of time interval between large signal values is analyzed. A power law behavior…

Adaptation and Self-Organizing Systems · Physics 2008-11-25 Vishnu Sreekumar , Mahendra K. Verma , Gaurav Narain , Venkatesh K. S

This application-oriented study concerns computational musicology, which makes use of grammar systems. We define multi-generative rule-synchronized scattered-context grammar systems (without erasing rules) and demonstrates how to…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Jozef Makiš , Alexander Meduna , Zbyněk Křivka

This study argues that electronic tones routinely used in contemporary popular music - including 808-style bass and power chords - are structurally and perceptually equivalent to multiphonics in contemporary classical music. Using listening…

Sound · Computer Science 2026-02-23 Emmanuel Deruty , David Meredith , Yann Macé , Luc Leroy , Dima Tsypkin , Pascal Arbez-Nicolas

Music genres allow to categorize musical items that share common characteristics. Although these categories are not mutually exclusive, most related research is traditionally focused on classifying tracks into a single class. Furthermore,…

Information Retrieval · Computer Science 2017-07-18 Sergio Oramas , Oriol Nieto , Francesco Barbieri , Xavier Serra

Many people enjoy classical symphonic music. Its diverse instrumentation makes for a rich listening experience. This diversity adds to the conductor's expressive freedom to shape the sound according to their imagination. As a result, the…

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

Musical rhythms performed by humans typically show temporal fluctuations. While they have been characterized in simple rhythmic tasks, it is an open question what is the nature of temporal fluctuations, when several musicians perform music…

Neurons and Cognition · Quantitative Biology 2018-02-07 Mathias Sogorski , Theo Geisel , Viola Priesemann

Multifractal time series analysis is a approach that shows the possible complexity of the system. Nowadays, one of the most popular and the best methods for determining multifractal characteristics is Multifractal Detrended Fluctuation…

Statistical Finance · Quantitative Finance 2015-10-20 Rafal Rak , Pawel Zięba

Computational models of music, while providing good descriptions of melodic development, still cannot fully grasp the general structure comprised of repetitions, transpositions, and reuse of melodic material. We present a corpus of strongly…

The musical realm is a promising area in which to expect to find nontrivial topological structures. This paper describes several kinds of metrics on musical data, and explores the implications of these metrics in two ways: via techniques of…

Algebraic Topology · Mathematics 2014-03-20 Ryan Budney , William Sethares

MUltiple SIgnal Classification (MUSIC) is a well-known non-iterative location detection algorithm for small, perfectly conducting cracks in inverse scattering problems. However, when the applied wavenumbers are unknown, inaccurate locations…

Numerical Analysis · Mathematics 2018-01-09 Won-Kwang Park

The development of new statistical and computational methods is increasingly making it possible to bridge the gap between hard sciences and humanities. In this study, we propose an approach based on a quantitative evaluation of attributes…

Much of Western classical music relies on instruments based on acoustic resonance, which produce harmonic or quasi-harmonic sounds. In contrast, since the mid-twentieth century, popular music has increasingly been produced in recording…

Sound · Computer Science 2024-12-09 Emmanuel Deruty , David Meredith , Stefan Lattner

Structural segmentation of music refers to the task of finding a symbolic representation of the organisation of a song, reducing the musical flow to a partition of non-overlapping segments. Under this definition, the musical structure may…

Sound · Computer Science 2022-12-23 Axel Marmoret , Jérémy E. Cohen , Frédéric Bimbot

In this paper we cluster 330 classical music pieces collected from MusicNet database based on their musical note sequence. We use shingling and chord trajectory matrices to create signature for each music piece and performed spectral…

Information Retrieval · Computer Science 2017-06-28 Xindi Wang , Syed Arefinul Haque

A study of around 13,000 musical compositions from the Western classical tradition is carried out, spanning 33 major composers from the Baroque to the Romantic, with a focus on the usage of major/minor key signatures. A 2-dimensional…

Applications · Statistics 2017-09-14 Yang-Hui He

Cadences are complex structures that have been driving music from the beginning of contrapuntal polyphony until today. Detecting such structures is vital for numerous MIR tasks such as musicological analysis, key detection, or music…

Sound · Computer Science 2022-09-01 Emmanouil Karystinaios , Gerhard Widmer

An efficient method of exploring the effects of anisotropy in the fractal properties of 2D surfaces and images is proposed. It can be viewed as a direction-sensitive generalization of the multifractal detrended fluctuation analysis (MFDFA)…

Applied Physics · Physics 2024-10-14 Rafał Rak , Stanisław Drożdż , Jarosław Kwapień , Paweł Oświęcimka

Modelling human perception of musical similarity is critical for the evaluation of generative music systems, musicological research, and many Music Information Retrieval tasks. Although human similarity judgments are the gold standard,…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-29 Jeff Ens , Philippe Pasquier

In the first section we review recent results on the harmonic analysis of fractals generated by iterated function systems with emphasis on spectral duality. Classical harmonic analysis is typically based on groups whereas the fractals are…

Classical Analysis and ODEs · Mathematics 2007-05-23 Palle E. T. Jorgensen , Steen Pedersen