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Related papers: Relativity of musical mood

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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

The criteria for measuring music similarity are important for developing a flexible music recommendation system. Some data-driven methods have been proposed to calculate music similarity from only music signals, such as metric learning…

Sound · Computer Science 2022-11-16 Yuka Hashizume , Li Li , Tomoki Toda

"Phase-locking" is a fundamental phenomenon in which coupled or periodically forced oscillators synchronise. The Arnold family of circle maps, which describes a forced oscillator, is the simplest mathematical model of phase-locking and has…

Dynamical Systems · Mathematics 2025-09-19 Lasse Rempe

We consider a novel clustering task in which clusters can have compositional relationships, e.g., one cluster contains images of rectangles, one contains images of circles, and a third (compositional) cluster contains images with both…

Machine Learning · Computer Science 2023-08-04 Zeqian Li , Xinlu He , Jacob Whitehill

Music similarity is an essential aspect of music retrieval, recommendation systems, and music analysis. Moreover, similarity is of vital interest for music experts, as it allows studying analogies and influences among composers and…

Sound · Computer Science 2023-06-22 Andrea Poltronieri

We present a class of systems for which the signal-to-noise ratio as a function of the noise level may display a multiplicity of maxima. This phenomenon, referred to as stochastic multiresonance, indicates the possibility that periodic…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Recent work suggests that fundamental and Dirichlet strings, and their (p,q) bound states, may be observed as cosmic strings. The evolution of cosmic string networks, and therefore their observational signals, depends on what happens when…

High Energy Physics - Theory · Physics 2009-11-10 Mark G. Jackson , Nicholas T. Jones , Joseph Polchinski

The Pythagorean school attributed consonance in music to simplicity of frequency ratios between musical tones. In the last two centuries, the consonance curves developed by Helmholtz, Plompt and Levelt shifted focus to psycho-acoustic…

History and Overview · Mathematics 2025-03-12 Jan Cichowlas , Paweł Dłotko , Marek Kuś , Jan Spaliński

The average causal effect can often be best understood in the context of its variation. We demonstrate with two sets of four graphs, all of which represent the same average effect but with much different patterns of heterogeneity. As with…

Methodology · Statistics 2023-02-28 Andrew Gelman , Jessica Hullman , Lauren Kennedy

Dynamic systems have found their use in sound synthesis as well as score synthesis. These levels can be integrated in monolithic autonomous systems in a novel approach to algorithmic composition that shares certain aesthetic motivations…

Sound · Computer Science 2021-10-14 Risto Holopainen

Three-wave interactions form the basis of our understanding of many pattern forming systems because they encapsulate the most basic nonlinear interactions. In problems with two comparable length scales, it is possible for two waves of the…

Pattern Formation and Solitons · Physics 2019-10-03 Alastair M. Rucklidge , Mary Silber , Anne C. Skeldon

We study Doppler effects in curved space-time, i.e. the frequency shifts induced on electromagnetic signals propagating in the gravitational field. In particular, we focus on the frequency shift due to the bending of light rays in weak…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Matteo Luca Ruggiero , Angelo Tartaglia , Lorenzo Iorio

Music similarity search is useful for a variety of creative tasks such as replacing one music recording with another recording with a similar "feel", a common task in video editing. For this task, it is typically necessary to define a…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-14 Jongpil Lee , Nicholas J. Bryan , Justin Salamon , Zeyu Jin , Juhan Nam

This paper provides a new mathematical axiom system for classical harmony, which is a prescriptive rule system for composing music, introduced in the second half of the 18th century. The clearest model of classical harmony is given by the…

History and Overview · Mathematics 2018-07-13 András József Tóbiás

We consider a rotator whose equation of motion for the angle $\theta$ consists of the zeroth and first Fourier modes. Numerical analysis based on the trailing of saddle-node bifurcations is used to locate the n:1 Arnold tongues where…

Chaotic Dynamics · Physics 2008-11-15 David Garcia-Alvarez , Aneta Stefanovska , Peter V. E. McClintock

We present an algebraic construction of music notes and show how to associate them inseveral ways to construct music ranges. Then a family of ranges emerge with a fixed number of notes: two, three, five, seven, twelve, seventeen, etc. A…

History and Overview · Mathematics 2023-10-09 François Dubois

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

Evidence has accumulated that prediction error processing plays a role in the enjoyment of music listening. The present study examined listeners' neural responses to the signed reward prediction errors (RPEs) arising from switches between…

Neurons and Cognition · Quantitative Biology 2022-12-27 Chen-Gia Tsai , Yi-Fan Fu , Chia-Wei Li

One obstacle to ``elevating" correlation to causation is the phenomenon of confounding, i.e., when a correlation between two variables exists because both variables are in fact caused by a third variable. The situation where the confounders…

Applications · Statistics 2025-06-24 Caren Marzban , Yikun Zhang , Nicholas Bond , Michael Richman

It is shown that different ways of interacting strings formed in high energy nucleus-nucleus collisions cause a different strength of the chaoticity parameter lambda of Bose-Einstein correlations. In particular, in the case of percolation…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. A. Braun , F. del Moral , C. Pajares