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Related papers: Rhythm as an ordered phase of sound: how musical m…

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There has been an everlasting discussion around the concept of form in music. This work is motivated by such debate by using a complex systems framework in which we study the form as an emergent property of rhythm. Such a framework…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-11 Blas Kolic , Mateo Tonatiuh Rodriguez-Cervantes , Pablo Padilla-Longoria , Francis Knights

Music is a form of expression that often requires interaction between players. If one wishes to interact in such a musical way with a computer, it is necessary for the machine to be able to interpret the input given by the human to find its…

Sound · Computer Science 2022-09-01 Filippo Carnovalini , Antonio Rodà

Rhythm is a fundamental aspect of human behaviour, present from infancy and deeply embedded in cultural practices. Rhythm anticipation is a spontaneous cognitive process that typically occurs before the onset of actual beats. While most…

Neurons and Cognition · Quantitative Biology 2025-03-18 Zhongju Yuan , Geraint Wiggins , Dick Botteldooren

To train a machine learning model is necessary to take numerous decisions about many options for each process involved, in the field of sequence generation and more specifically of music composition, the nature of the problem helps to…

Sound · Computer Science 2021-01-20 Sebastian Garcia-Valencia , Alejandro Betancourt , Juan G. Lalinde-Pulido

The mathematics of musical intervals and scales has been extensively studied. Vastly simplified, our ears seem to prefer intervals whose frequency ratios have small numerator and denominator, such as 2:1 (octave), 3:2 (perfect fifth), 4:3…

History and Overview · Mathematics 2025-09-23 Matthias Beck , Emily Clader

We address the problem of combining sequence models of symbolic music with user defined constraints. For typical models this is non-trivial as only the conditional distribution of each symbol given the earlier symbols is available, while…

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

Western music is predominantly based on the equal temperament with a constant semitone frequency ratio of $2^{1/12}$. Although this temperament has been in use since the 19th century and in spite of its high degree of symmetry, various…

Popular Physics · Physics 2015-11-17 Haye Hinrichsen

Rhythms and vibrations represent the quintessence of life, they are ubiquitous (systemic) in all living systems. Recognising, unfolding these rhythms is paramount in medicine, for example in the physiology of the heart, lung, hearing,…

Neurons and Cognition · Quantitative Biology 2021-10-28 A. Guillet , A. Arneodo , P. Argoul , F. Argoul

In this paper we present a mathematical way of defining musical modes, we derive a formula for the total number of modes and define the musicality of a mode as the total number of harmonic chords whithin the mode. We also give an algorithm…

Combinatorics · Mathematics 2011-03-04 Mihail Cocos , Shawn Fowers

We propose a transformer-based rhythm quantization model that incorporates beat and downbeat information to quantize MIDI performances into metrically-aligned, human-readable scores. We propose a beat-based preprocessing method that…

Sound · Computer Science 2025-08-28 Maximilian Wachter , Sebastian Murgul , Michael Heizmann

We propose a general approach to the question of how biological rhythms spontaneously self-regulate, based on the concept of ``stochastic feedback''. We illustrate this approach by considering the neuroautonomic regulation of the heart…

Statistical Mechanics · Physics 2009-10-30 Plamen Ch. Ivanov , Luis A. N. Amaral , Ary Goldberger , H. Eugene Stanley

The dynamic range is an important parameter which measures the spread of sound power, and for music signals it is a measure of recording quality. There are various descriptive measures of sound power, none of which has strong statistical…

Applications · Statistics 2018-02-15 Pietro Coretto , Francesco Giordano

Spontaneous synchronization of an ensemble of metronomes placed on a freely rotating platform is studied experimentally and by computer simulations. A striking in-phase synchronization is observed when the metronomes' beat frequencies are…

Chaotic Dynamics · Physics 2015-06-11 Szilard Boda , Zoltan Neda , Botond Tyukodi , Arthur Tunyagi

Music is increasingly being used as a therapeutic tool in the field of rehabilitation medicine and psychophysiology. One of the main key components of music is its temporal organization. The characteristics of neurocognitive processes…

Neurons and Cognition · Quantitative Biology 2023-03-20 Grigoriy Radchenko , Valeriia Demareva , Kirill Gromov , Irina Zayceva , Artem Rulev , Marina Zhukova , Andrey Demarev

Dancing to music is an instinctive move by humans. Learning to model the music-to-dance generation process is, however, a challenging problem. It requires significant efforts to measure the correlation between music and dance as one needs…

Computer Vision and Pattern Recognition · Computer Science 2019-11-06 Hsin-Ying Lee , Xiaodong Yang , Ming-Yu Liu , Ting-Chun Wang , Yu-Ding Lu , Ming-Hsuan Yang , Jan Kautz

Modeling biological rhythms helps understand the complex principles behind the physical and psychological abnormalities of human bodies, to plan life schedules, and avoid persisting fatigue and mood and sleep alterations due to the…

Quantitative Methods · Quantitative Biology 2021-09-15 Runze Yan , Afsaneh Doryab

A method is presented for the rhythmic parsing problem: Given a sequence of observed musical note onset times, we estimate the corresponding notated rhythm and tempo process. A graphical model is developed that represents the simultaneous…

Artificial Intelligence · Computer Science 2013-01-14 Christopher S Raphael

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

Neurons and Cognition · Quantitative Biology 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

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
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