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Scales, sets of discrete pitches that form the basis of melodies, are thought to be one of the most universal hallmarks of music. But we know relatively little about cross-cultural diversity of scales or how they evolved. To remedy this, we…

Physics and Society · Physics 2023-05-03 John M McBride , Sam Passmore , Tsvi Tlusty

In the production of modern music, the musical characteristics of the guitar or keyboard amplifier play an integral role in the creative process. This article explores the physics of music with an emphasis on the role of distortion in the…

Popular Physics · Physics 2025-04-08 Anna Mullin , Derek Leinweber

We present a new system for simultaneous estimation of keys, chords, and bass notes from music audio. It makes use of a novel chromagram representation of audio that takes perception of loudness into account. Furthermore, it is fully based…

Sound · Computer Science 2011-07-26 Yizhao Ni , Matt Mcvicar , Raul Santos-Rodriguez , Tijl De Bie

The new formulas, which determine sign and amplitude of utilitarian emotions, are proposed on the basis of the information theory of emotions. In area of perception of musical chords the force of emotions depends on the relative pitch of…

Sound · Computer Science 2009-09-01 Vadim R. Madgazin

This paper presents the Computoser hybrid probability/rule based algorithm for music composition (http://computoser.com) and provides a reference implementation. It addresses the issues of unpleasantness and lack of variation exhibited by…

Artificial Intelligence · Computer Science 2014-12-10 Bozhidar Bozhanov

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

A modified form of Euclid's algorithm has gained popularity among musical composers following Toussaint's 2005 survey of so-called Euclidean rhythms in world music. We offer a method to easily calculate Euclid's algorithm by hand as a…

History and Overview · Mathematics 2022-06-28 Thomas Morrill

The ability of the auditory system to perceive the fundamental frequency of a sound even when this frequency is removed from the stimulus is an interesting phenomenon related to the pitch of complex sounds. This capability is known as…

Polyphonic music files were analyzed using the set of symbols that produced the Minimal Entropy Description which we call the Fundamental Scale. This allowed us to create a novel space to represent music pieces by developing: a) a method to…

Sound · Computer Science 2017-01-13 Gerardo Febres , Klaus Jaffe

In this paper we shall consider some famous means such as arithmetic, harmonic, geometric, logarithmic means, etc. Inequalities involving logarithmic mean with differences among other means are presented

Information Theory · Computer Science 2011-03-15 Inder Jeet Taneja

Is the specific structure of Western tonal harmony a physical inevitability derived from acoustics, or is it merely one solution among many in a purely algebraic landscape? In this paper, we strip away the physics of vibrating strings and…

Combinatorics · Mathematics 2026-02-24 Pawel Nurowski

We initiate the development of a new language and theory for quantum music, to which we refer as Quantum Concept Music (QCM). This new music formalism is based on Categorical Quantum Mechanics (CQM), and more specifically, its diagrammatic…

Quantum Physics · Physics 2025-10-08 Rakhat-Bi Abdyssagin , Bob Coecke

We introduce a new form of logical relation which, in the spirit of metric relations, allows us to assign each pair of programs a quantity measuring their distance, rather than a boolean value standing for their being equivalent. The…

Logic in Computer Science · Computer Science 2019-04-30 Ugo Dal Lago , Francesco Gavazzo , Akira Yoshimizu

Music can be represented in multiple forms, such as in the audio form as a recording of a performance, in the symbolic form as a computer readable score, or in the image form as a scan of the sheet music. Music synchronisation provides a…

Sound · Computer Science 2022-06-02 Ruchit Agrawal

Randomness has attracted great interest in the field of music composition for quite some time. As early as 1962, Iannis Xenakis started exploring a stochastic approach to randomness by using computer-based interlinking probability functions…

We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.

Classical Analysis and ODEs · Mathematics 2015-03-23 József Sándor , Barkat Ali Bhayo

This paper presents a geometric approach to pitch estimation (PE)-an important problem in Music Information Retrieval (MIR), and a precursor to a variety of other problems in the field. Though there exist a number of highly-accurate…

Sound · Computer Science 2020-12-09 Tom Goodman , Karoline van Gemst , Peter Tino

Linguistic labels are effective means of expressing qualitative assessments because they account for the uncertain nature of human preferences. However, to perform computations with linguistic labels, they must first be converted to numbers…

Human-Computer Interaction · Computer Science 2022-11-17 Faran Ahmed , Kemal Kilic

Of all novel computing methods, quantum computation (QC) is currently the most likely to move from the realm of the unconventional into the conventional. As a result some initial work has been done on applications of QC outside of science:…

Artificial Intelligence · Computer Science 2019-07-30 Alexis Kirke

We investigate a dynamically adapting tuning scheme for microtonal tuning of musical instruments, allowing the performer to play music in just intonation in any key. Unlike other methods, which are based on a procedural analysis of the…

Popular Physics · Physics 2018-06-12 Karolin Stange , Christoph Wick , Haye Hinrichsen