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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

Based on a case study on 3D printing, we have been experimenting on the sonification of multidimensional data for peripheral process monitoring. In a previous paper, we tested the effectiveness of a soundscape which combined intentionally…

Human-Computer Interaction · Computer Science 2023-02-09 Maxime Poret , Catherine Semal , Myriam Desainte-Catherine

Up to around 1.1 kHz, the soundboard of the piano behaves like a homogeneous plate whereas upper in frequency, it can be described as a set of waveguides defined by the ribs. In consequence: a) The acoustical coincidence phenomenon is…

Classical Physics · Physics 2012-10-19 Kerem Ege , Xavier Boutillon

Pitch is a fundamental aspect of auditory perception. Pitch perception is commonly described across two perceptual dimensions: pitch height is the sense that tones with varying frequencies seem to be higher or lower, and chroma equivalence…

Sound · Computer Science 2026-02-24 Lukas Grasse , Matthew S. Tata

Music large-scale form, the structure of musical units ranging over several bars, are studied using EEG measurements of 25 participants listened to the first four minutes of a piece of electronic dance music (EDM). Grand-averages of…

Neurons and Cognition · Quantitative Biology 2020-05-15 Lenz Hartmann , Rolf Bader

This chapter reconsiders the concept of pitch in contemporary popular music (CPM), particularly in electronic contexts where traditional assumptions may fail. Drawing on phenomenological and inductive methods, it argues that pitch is not an…

Sound · Computer Science 2025-07-08 Emmanuel Deruty

Coherence and phase synchronization between time series corresponding to different spatial locations are usually interpreted as indicators of the connectivity between locations. In neurophysiology, time series of electric neuronal activity…

Methodology · Statistics 2007-07-12 Roberto D. Pascual-Marqui

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

Compositionality in language refers to how much the meaning of some phrase can be decomposed into the meaning of its constituents and the way these constituents are combined. Based on the premise that substitution by synonyms is…

Computation and Language · Computer Science 2017-03-13 Christina Lioma , Niels Dalum Hansen

The divergence of the harmonic series is proved by direct comparison with a series whose nth partial sum telescopes to the natural logarithm of n. The key idea is to apply the classical inequality x>=log(1+x) (valid for x>-1) with x=1/k and…

History and Overview · Mathematics 2007-06-19 David M. Bradley

Understanding music popularity is important not only for the artists who create and perform music but also for the music-related industry. It has not been studied well how music popularity can be defined, what its characteristics are, and…

Multimedia · Computer Science 2018-12-04 Junghyuk Lee , Jong-Seok Lee

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

Western music is largely governed by tonality, a quasi syntactic system regulating musical continuity and closure. Converging measures have established the psychological reality of tonality as a cognitive schema raising distinct expectancy…

Neurons and Cognition · Quantitative Biology 2020-08-06 Assaf Suberry , Neta B. Maimon , Zohar Eitan

This paper proves that arrangement of music is NP-hard when subject to various constraints: avoiding musical dissonance, limiting how many notes can be played simultaneously, and limiting transition speed between chords. These results imply…

Computational Complexity · Computer Science 2016-07-15 William S. Moses , Erik D. Demaine

Despite recent advances in audio content-based music emotion recognition, a question that remains to be explored is whether an algorithm can reliably discern emotional or expressive qualities between different performances of the same…

Sound · Computer Science 2021-07-29 Shreyan Chowdhury , Gerhard Widmer

We develop a model of musical rhythm and meter based on optimizing the trade-off between human psychological preferences for perceiving repeated patterns in time with a desire for variety and complexity. By mapping these competing…

Statistical Mechanics · Physics 2026-04-10 Robert St. Clair , Jesse Berezovsky

Music tone quality evaluation is generally performed by experts. It could be subjective and short of consistency and fairness as well as time-consuming. In this paper we present a new method for identifying the clarinet reed quality by…

Sound · Computer Science 2020-03-03 Yixin Wang , Xiaohong Guan , Youtian Du , Nan Nan

In this paper I want to suggest a new solution to the problem of musical tuning. On one hand, I see it as a generalization of Just Intonation (JI) to inharmonic timbers, on another, as a unification of spectral interference and harmonicity…

Sound · Computer Science 2025-12-22 Vsevolod Vladimirovich Deriushkin

We classify three-tone and four-tone chords based on subgroups of the symmetric group acting on chords contained within a twelve-tone scale. The actions are inversion, major-minor duality, and augmented-diminished duality. These actions…

Group Theory · Mathematics 2020-07-08 Jason K. C. Polak

Chaos, or exponential sensitivity to small perturbations, appears everywhere in nature. Moreover, chaos is predicted to play diverse functional roles in living systems. A method for detecting chaos from empirical measurements should…

Quantitative Methods · Quantitative Biology 2020-01-13 Daniel Toker , Friedrich T. Sommer , Mark D'Esposito