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Related papers: Relativity of musical mood

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Transformer architectures offer significant advantages regarding the generation of symbolic music; their capabilities for incorporating user preferences toward what they generate is being studied under many aspects. This paper studies the…

Music is a string of some of the notes out of 12 notes (Sa, Komal_re, Re, Komal_ga, Ga, Ma, Kari_ma, Pa, Komal_dha, Dha, Komal_ni, Ni) and their harmonics. Each note corresponds to a particular frequency. When such strings are encoded to…

Sound · Computer Science 2011-09-29 Avishek Ghosh , Joydeep Banerjee , Sk. S. Hassan , P. Pal Choudhury

Linear chord diagrams are partitions of $\left[2n\right]$ into $n$ blocks of size two called chords. We refer to a block of the form $\{i,i+1\}$ as a short chord. In this paper, we study the distribution of the number of short chords on the…

Combinatorics · Mathematics 2023-06-22 Naiomi T. Cameron , Kendra Killpatrick

In the context of special relativity, we describe with detail the Doppler effect between a light source at rest and an observer in linear motion and constant proper acceleration. To have an Englis version of this article, ask the authors.…

Classical Physics · Physics 2008-08-04 F M Paiva , A F F Teixeira

A composition of $n\in\NN$ is an ordered collection of one or more positive integers whose sum is $n$. The number of summands is called the number of parts of the composition. A palindromic composition of $n$ is a composition of $n$ in…

Combinatorics · Mathematics 2007-05-23 Silvia Heubach , Toufik Mansour

Chromogeometry brings together Euclidean geometry (called blue) and two relativistic geometries (called red and green), in a surprising three-fold symmetry. We show how the red and green `Euler lines' and `nine-point circles' of a triangle…

Metric Geometry · Mathematics 2008-06-24 N. J. Wildberger

There is a wide variety of music similarity detection algorithms, while discussions about music plagiarism in the real world are often based on audience perceptions. Therefore, we aim to conduct a study to examine the key criteria of human…

Sound · Computer Science 2026-01-07 Daeun Hwang , Hyeonbin Hwang

A vector composition of a vector $\mathbf{\ell}$ is a matrix $\mathbf{A}$ whose rows sum to $\mathbf{\ell}$. We define a weighted vector composition as a vector composition in which the column values of $\mathbf{A}$ may appear in different…

Combinatorics · Mathematics 2018-08-28 Steffen Eger

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

The human sense of hearing perceives a combination of sounds 'in tune' if the corresponding harmonic spectra are correlated, meaning that the neuronal excitation pattern in the inner ear exhibits some kind of order. Based on this…

Classical Physics · Physics 2012-04-10 Haye Hinrichsen

Several prior works have proposed various methods for the task of automatic melody harmonization, in which a model aims to generate a sequence of chords to serve as the harmonic accompaniment of a given multiple-bar melody sequence. In this…

This study argues that electronic tones routinely used in contemporary popular music - including 808-style bass and power chords - are structurally and perceptually equivalent to multiphonics in contemporary classical music. Using listening…

Sound · Computer Science 2026-02-23 Emmanuel Deruty , David Meredith , Yann Macé , Luc Leroy , Dima Tsypkin , Pascal Arbez-Nicolas

In this paper, we study a simple linear model of the cochlea as a set of vibrating strings. We make hypothesis that the information sent to the auditory cortex is the energy stored in the strings and consider all oscillation modes of the…

Signal Processing · Electrical Eng. & Systems 2026-02-13 Ugo Boscain , Xiangyu Ma , Dario Prandi , Giuseppina Turco

The presence of skew quadrupole fields will linearly couple the x and y motions. The x and y motions can then be written as the sum of two normal modes >. This paper presents analytical perturbation theory results for the tunes of the…

Accelerator Physics · Physics 2007-05-23 G. Parzen

The Doppler shift is investigated in one-dimensional system with moving source. Theoretical findings are confirmed in numerical simulations of optical and acoustical waves propagation in simple metamaterial model, showing the reversed shift…

Optics · Physics 2015-06-23 David Ziemkiewicz , Sylwia Zielińska-Raczyńska

Research on how humans perceive aesthetics in shapes, colours, and music has predominantly focused on Western populations, limiting our understanding of how cultural environments shape aesthetic preferences. We present a large-scale…

Multimedia · Computer Science 2025-05-12 Harin Lee , Eline Van Geert , Elif Celen , Raja Marjieh , Pol van Rijn , Minsu Park , Nori Jacoby

Mathematics is a far reaching discipline and its tools appear in many applications. In this paper we discuss its role in music and signal processing by revisiting the use of mathematics in algorithms that can extract chord information from…

History and Overview · Mathematics 2013-06-13 Nathan Lenssen , Deanna Needell

We discuss the problem of the separation of total correlations in a given quantum state into entanglement, dissonance, and classical correlations using the concept of relative entropy as a distance measure of correlations. This allows us to…

Quantum Physics · Physics 2010-03-03 Kavan Modi , Tomasz Paterek , Wonmin Son , Vlatko Vedral , Mark Williamson

How do different musical traditions achieve tonal coherence? Most computational measures to date have analysed tonal coherence in terms of a single dimension, whereas a multi-dimensional analyses have not been sufficiently explored. We…

Sound · Computer Science 2026-03-31 Weilun Xu , Edward Hall , Martin Rohrmeier

Emotion-driven melody harmonization aims to generate diverse harmonies for a single melody to convey desired emotions. Previous research found it hard to alter the perceived emotional valence of lead sheets only by harmonizing the same…

Sound · Computer Science 2024-09-26 Jingyue Huang , Yi-Hsuan Yang