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Consonance is related to the perception of pleasantness arising from a combination of sounds and has been approached quantitatively using mathematical relations, physics, information theory, and psychoacoustics. Tonal consonance is present…

Sound · Computer Science 2017-04-25 Jorge Useche , Rafael Hurtado

The origins of consonance in human music has long been contested, and today there are three primary hypotheses: aversion to roughness, preference for harmonicity, and learned preferences from cultural exposure. While the evidence is…

Physics and Society · Physics 2025-12-04 John M. McBride

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

To many people, music is a mystery. It is uniquely human, because no other species produces elaborate, well organized sound for no particular reason. It has been part of every known civilization on earth. It has become a very part of man's…

Popular Physics · Physics 2012-09-19 James Q. Feng

Both, human appreciation of music and musical genres, transcend time and space. The universality of musical genres and associated musical scales is intimately linked to the physics of sound and the special characteristics of human acoustic…

Popular Physics · Physics 2019-08-22 Sushan Konar

The perception of consonance/dissonance of musical harmonies is strongly correlated with their periodicity. This is shown in this article by consistently applying recent results from psychophysics and neuroacoustics, namely that the just…

Sound · Computer Science 2018-11-21 Frieder Stolzenburg

Physical laws are a set of rules in the relationship between observations made by the experimenter. All these observations are made through a mechanism that links the external world to the experimenter's awareness, a mechanism which is not…

Quantum Physics · Physics 2017-07-12 Hitoshi Inamori

The sensory perceptions of vision and sound may be considered as complementary doorways towards interpreting and understanding physical phenomena. We provide a few selected samples where scientific data of systems usually not directly…

Popular Physics · Physics 2026-05-01 Carsten Henkel

Most music theory books are like medieval medical textbooks: they contain unjustified superstition, non-reasoning, and funny symbols glorified by Latin phrases. How does music, in particular harmony, actually work, presented as a real,…

Sound · Computer Science 2014-06-13 Daniel Shawcross Wilkerson

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

In the present paper, we investigate the properties of the sound generated by rubbing two objects. It is clear that the sound is generated because of the rubbing between the contacting rough surfaces of the objects. A model is presented to…

Classical Physics · Physics 2009-11-10 Zhen Ye

Resonance, defined as the oscillation of a system when the temporal frequency of an external stimulus matches a natural frequency of the system, is important in both fundamental physics and applied disciplines. However, the spatial…

Mesoscale and Nanoscale Physics · Physics 2016-06-16 Zhenyu Wang , Mingzhe Li , Ruifang Wang

The melodic consonance of a sequence of tones is explained using the overtone series: the overtones form "flow lines" that link the tones melodically; the strength of these flow lines determines the melodic consonance. This hypothesis…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jared E. Anderson

This article describes a method of getting a harmonious combination of colors, developed by us on the basis of the relationship of color and acoustic waves. Presents a parallel between harmoniously matched colors and the concept of harmony…

Graphics · Computer Science 2017-09-15 I. I. Sabo , H. R. Lagoda

Sound is a preferred context to build foundations on wave phenomena, one of the most important disciplinary referents in physics. It is also one of the best-set frameworks to achieve transversality, overcoming scholastic level and…

Physics Education · Physics 2008-08-28 Erica Bisesi , Marisa Michelini

A usual causal requirement on a viable theory of matter is that the speed of sound be at most the speed of light. In view of various recent papers querying this limit, the question is revisited here. We point to various issues confronting…

General Relativity and Quantum Cosmology · Physics 2008-11-26 George Ellis , Roy Maartens , Malcolm MacCallum

We develop aspects of music theory related to harmony, such as scales, chord formation and improvisation from a combinatorial perspective. The goal is to provide a foundation for this subject by deriving the basic structure from a few…

Sound · Computer Science 2026-02-27 Maksim Lipyanskiy

This work reviews the human auditory system, elucidating some of the specialized mechanisms and non-linear pathways along the chain of events between physical sound and its perception. Customary relationships between frequency, time, and…

Neurons and Cognition · Quantitative Biology 2023-08-01 Milind N. Kunchur

Music, enchanting and poetic, permeates every corner of human civilization. Although music is not unfamiliar to people, our understanding of its essence remains limited, and there is still no universally accepted scientific description.…

A learning path is proposed starting from the characterization of a sound wave, showing how human beings emit articulate sounds in the language, introducing psychoacoustics, i.e. how the sound interacts with ears and it is transduced into…

Physics Education · Physics 2016-01-08 Vera Montalbano
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