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Related papers: Computational approach to multifractal music

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Music preference was reported as a factor, which could elicit innermost music emotion, entailing accurate ground-truth data and music therapy efficiency. This study executes statistical analysis to investigate the distinction of music…

The vast majority of sampling systems operate in a standard way: at each tick of a fixed-frequency master clock a digitizer reads out a voltage that corresponds to the value of some physical quantity and translates it into a bit pattern…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Edoardo Milotti

In modern societies, cultural change seems ceaseless. The flux of fashion is especially obvious for popular music. While much has been written about the origin and evolution of pop, most claims about its history are anecdotal rather than…

Physics and Society · Physics 2015-05-12 Matthias Mauch , Robert M. MacCallum , Mark Levy , Armand M. Leroi

We show that it can be considered some of Bach pitches series as a stochastic process with scaling behavior. Using multifractal deterend fluctuation analysis (MF-DFA) method, frequency series of Bach pitches have been analyzed. In this view…

Data Analysis, Statistics and Probability · Physics 2009-11-13 G. R. Jafari , P. Pedram , L. Hedayatifar

We investigate the presence of residual multifractal background for monofractal signals which appears due to the finite length of the signals and (or) due to the long memory the signals reveal. This phenomenon is investigated numerically…

Data Analysis, Statistics and Probability · Physics 2011-09-27 Dariusz Grech , Grzegorz Pamula

The field of Music Information Retrieval (MIR) is fragmented, with specialized models excelling at isolated tasks. In this work, we challenge this paradigm by introducing a unified foundation model named MuFun for holistic music…

Sound · Computer Science 2025-08-05 Yi Jiang , Wei Wang , Xianwen Guo , Huiyun Liu , Hanrui Wang , Youri Xu , Haoqi Gu , Zhongqian Xie , Chuanjiang Luo

Chord progressions encapsulate important information about music, pertaining to its structure and conveyed emotions. They serve as the backbone of musical composition, and in many cases, they are the sole information required for a musician…

This research extends a method previously applied to music and philosophy,representing the evolution of art as a time-series where relations like dialectics are measured quantitatively. For that, a corpus of paintings of 12 well-known…

As the accessibility and ease-of-use of digital audio workstations increases, so does the quantity of music available to the average listener; additionally, differences between genres are not always well defined and can be abstract, with…

Sound · Computer Science 2025-06-04 Bartosz Karpiński , Cyryl Leszczyński

Flamenco is a rich performance-oriented art music genre from Southern Spain which attracts a growing community of aficionados around the globe. Due to its improvisational and expressive nature, its unique musical characteristics, and the…

Sound · Computer Science 2022-09-23 José-Miguel Díaz-Báñez , Nadine Kroher

We introduce the Gradient-MUSIC algorithm for estimating the unknown frequencies and amplitudes of a nonharmonic signal from noisy time samples. While the classical MUSIC algorithm performs a computationally expensive search over a fine…

Information Theory · Computer Science 2025-10-22 Albert Fannjiang , Weilin Li , Wenjing Liao

The work of a single musician, group or composer can vary widely in terms of musical style. Indeed, different stylistic elements, from performance medium and rhythm to harmony and texture, are typically exploited and developed across an…

Sound · Computer Science 2017-12-11 Sergey Shuvaev , Hamza Giaffar , Alexei A. Koulakov

Quantitative analysis of commonalities and differences between recorded music performances is an increasingly common task in computational musicology. A typical scenario involves manual annotation of different recordings of the same piece…

Multimedia · Computer Science 2020-09-28 Thassilo Gadermaier , Gerhard Widmer

Multifractal formalisms provide an apt framework to study random cascades in which multifractal spectrum width $\Delta\alpha$ fluctuates depending on the number of estimable power-law relationships. Then again, multifractality without…

Adaptation and Self-Organizing Systems · Physics 2023-12-12 Madhur Mangalam , Aaron D Likens , Damian G Kelty-Stephen

We introduce the Free Music Archive (FMA), an open and easily accessible dataset suitable for evaluating several tasks in MIR, a field concerned with browsing, searching, and organizing large music collections. The community's growing…

Sound · Computer Science 2017-09-07 Michaël Defferrard , Kirell Benzi , Pierre Vandergheynst , Xavier Bresson

A multifractal analysis (MFA) is performed on three-dimensional grayscale images associated with natural porous structures (soil samples). First, computed tomography (CT) scans are carried out on the samples to generate 3D grayscale images.…

Data Analysis, Statistics and Probability · Physics 2016-05-22 Lorenzo Milazzo , Radoslaw Pajor

Recent research in self-supervised contrastive learning of music representations has demonstrated remarkable results across diverse downstream tasks. However, a prevailing trend in existing methods involves representing equally-sized music…

Super-resolution microscopy is providing unprecedented insights into biology by resolving details much below the diffraction limit. State-of-the-art Single Molecule Localization Microscopy (SMLM) techniques for super-resolution are…

Quantitative Methods · Quantitative Biology 2016-12-13 Krishna Agarwal , Radek Macháň

Instrumental playing techniques such as vibratos, glissandos, and trills often denote musical expressivity, both in classical and folk contexts. However, most existing approaches to music similarity retrieval fail to describe timbre beyond…

Let ${\mathcal S}$ denote the set of all univalent analytic functions $f(z)=z+\sum_{n=2}^{\infty}a_n z^n$ on the unit disk $|z|<1$. In 1946 B. Friedman found that the set $\mathcal S$ of those functions which have integer coefficients…

Complex Variables · Mathematics 2012-07-17 S. Ponnusamy , J. Qiao
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