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Related papers: Computational approach to multifractal music

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Categorization is crucial for content description in archiving of music signals. On many occasions, human brain fails to classify the instruments properly just by listening to their sounds which is evident from the human response data…

Sound · Computer Science 2016-01-29 Archi Banerjee , Shankha Sanyal , Tarit Guhathakurata , Ranjan Sengupta , Dipak Ghosh

If our aesthetic preferences are affected by fractal geometry of nature, scaling regularities would be expected to appear in all art forms, including music. While a variety of statistical tools have been proposed to analyze time series in…

Pattern Formation and Solitons · Physics 2023-04-05 John McDonough , Andrzej Herczyński

We present a technique to search for the presence of crucial events in music, based on the analysis of the music volume. Earlier work on this issue was based on the assumption that crucial events correspond to the change of music notes,…

Physics and Society · Physics 2018-03-14 April Pease , Korosh Mahmoodi , Bruce J. West

A complexity classification scheme is developed from the fractal spectra of spin-glass chaos and demonstrated with multigeographic multicultural music and brain electroencephalogram signals. Systematic patterns are found to emerge. Chaos…

Disordered Systems and Neural Networks · Physics 2025-02-25 E. Can Artun , Ibrahim Kecoglu , Alpar Turkoglu , A. Nihat Berker

In this paper, we analyze web-downloaded data on people sharing their music library. By attributing to each music group usual music genres (Rock, Pop...), and analysing correlations between music groups of different genres with…

Physics and Society · Physics 2007-06-13 R. Lambiotte , M. Ausloos

We analyze the fractal dimension of melodic contours and pitch time series of classical music and folk music tunes. The fractal dimensions obtained from box counting and detrended fluctuation analysis show significant differences. They are…

Disordered Systems and Neural Networks · Physics 2022-04-20 Maria H. Niklasson , Gunnar A. Niklasson

This work is an analytical and numerical study of the composition of several fractals into one and of the relation between the composite dimension and the dimensions of the component fractals. In the case of composition of standard IFS with…

Metric Geometry · Mathematics 2020-10-20 Yann Lanoiselee , Laurent Nivanen , Aziz El Kaabouchi , Qiuping A. Wang

In this paper we have defined one function that has been used to construct different fractals having fractal dimensions between 1.58 and 2. Also, we tried to calculate the amount of increment of fractal dimension in accordance with the base…

Other Computer Science · Computer Science 2009-10-06 Pabitra Pal Choudhury , Sk. Sarif Hassan , Sudhakar Sahoo , Soubhik Chakraborty

This work proposes a novel feature selection algorithm to classify Songs into different groups. Classification of musical content is often a non-trivial job and still relatively less explored area. The main idea conveyed in this article is…

Information Retrieval · Computer Science 2019-01-09 Anish Acharya

Music has always been central to human culture, reflecting and shaping traditions, emotions, and societal changes. Technological advancements have transformed how music is created and consumed, influencing tastes and the music itself. In…

Music is a structured and perceptually rich sequence of sounds in time, whose perception is shaped by the interplay of expectation and uncertainty about what comes next. Yet the uncertainty we infer from music depends on how the musical…

Physics and Society · Physics 2026-03-12 Lluc Bono Rosselló , Robert Jankowski , Hugues Bersini , Marián Boguñá , M. Ángeles Serrano

Out of the scope of the usual positions of computing in the field of music and musicology, one notices the emergence of human-computer systems that do exist by breaking off. Though these singular systems take effect in the usual fields of…

Multimedia · Computer Science 2009-12-25 Francis Rousseaux , Alain Bonardi

To understand the sample-to-sample fluctuations in disorder-generated multifractal patterns we investigate analytically as well as numerically the statistics of high values of the simplest model - the ideal periodic $1/f$ Gaussian noise. By…

Statistical Mechanics · Physics 2015-06-05 Yan V. Fyodorov , Pierre Le Doussal , Alberto Rosso

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

Polyphonic music files were analyzed using the set of symbols that produced the Minimal Entropy Description which we call the Fundamental Scale. This allowed us to create a novel space to represent music pieces by developing: a) a method to…

Sound · Computer Science 2017-01-13 Gerardo Febres , Klaus Jaffe

Listening habits are strongly influenced by two opposing aspects, the desire for variety and the demand for uniformity in music. In this work we quantify these two notions in terms of musical instrumentation and production technologies that…

Physics and Society · Physics 2016-10-03 Gamaliel Percino , Peter Klimek , Stefan Thurner

Musical chords, harmonies or melodies in Just Intonation have note frequencies which are described by a base frequency multiplied by rational numbers. For any local section, these notes can be converted to some base frequency multiplied by…

Sound · Computer Science 2017-01-25 David Ryan

It has been claimed [1-6] that fractal analysis can be applied to unambiguously characterize works of art such as the drip paintings of Jackson Pollock. This academic issue has become of more general interest following the recent discovery…

Statistical Mechanics · Physics 2009-08-31 Katherine Jones-Smith , Harsh Mathur , Lawrence M. Krauss

We report a statistical analysis over more than eight thousand songs. Specifically, we investigate the probability distribution of the normalized sound amplitudes. Our findings seems to suggest a universal form of distribution which…

Data Analysis, Statistics and Probability · Physics 2011-01-18 R. S. Mendes , H. V. Ribeiro , F. C. M. Freire , A. A. Tateishi , E. K. Lenzi

To date, calculating the frequencies of musical notes requires one to know the frequency of some reference note. In this study, first-order ordinary differential equations are used to arrive at a mathematical model to determine tonal…

Sound · Computer Science 2021-06-17 Steve Mathew
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