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Related papers: Musical Chords by the Numbers

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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

The aim of this paper is twofold: on one side we review the classical concept of musical mode from the viewpoint of modern music, reading it as a superimposition of a base-chord (seventh chord) and a tension-chord (triad). We associate to…

Algebraic Topology · Mathematics 2013-09-04 Mattia G. Bergomi , Alessandro Portaluri

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

Coherence and interestingness are two criteria for evaluating the performance of melody harmonization, which aims to generate a chord progression from a symbolic melody. In this study, we apply the concept of orderless NADE, which takes the…

Sound · Computer Science 2021-02-02 Chung-En Sun , Yi-Wei Chen , Hung-Shin Lee , Yen-Hsing Chen , Hsin-Min Wang

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

We propose MDSC(Music-Dance-Style Consistency), the first evaluation metric that assesses to what degree the dance moves and music match. Existing metrics can only evaluate the motion fidelity and diversity and the degree of rhythmic…

Sound · Computer Science 2023-12-04 Zixiang Zhou , Weiyuan Li , Baoyuan Wang

Often, I hear a piece of music and wonder what the name of the piece is. Indeed, there are applications such as Shazam app that provides music matching. However, the limitations of those apps are that the same piece performed by the same…

Sound · Computer Science 2022-07-01 Anthony Lee

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

In this paper we propose numerical measures for evaluating the aesthetic interest of simple patterns. The patterns consist of elements (symbols, pixels, etc.) in regular square arrays. The measures depend on two characteristics of the…

Data Analysis, Statistics and Probability · Physics 2011-08-30 Allen Klinger , Nikos A. Salingaros

Before new clinical measurement methods are implemented in clinical practice, it must be confirmed whether their results are equivalent to those of existing methods. The agreement of the trend between these methods is evaluated using the…

Methodology · Statistics 2021-03-01 Mayu Hiraishi , Kensuke Tanioka , Toshio Shimokawa

A set of basic notes, or `scale', forms the basis of music. Scales are specific to specific genre of music. In this second article of the series we explore the development of various scales associated with western classical music, arguably…

Popular Physics · Physics 2019-09-16 Sushan Konar

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

This paper offers a precise, formal definition of an audio-to-score alignment. While the concept of an alignment is intuitively grasped, this precision affords us new insight into the evaluation of audio-to-score alignment algorithms.…

Sound · Computer Science 2020-10-01 John Thickstun , Jennifer Brennan , Harsh Verma

Simple models of clarinet instruments based on iterated maps have been used in the past to successfully estimate the threshold of oscillation of this instrument as a function of a constant blowing pressure. However, when the blowing…

Classical Physics · Physics 2014-07-16 Baptiste Bergeot , André Almeida , Christophe Vergez , Bruno Gazengel

We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd natural number $m$ generates a complete or incomplete Fourier…

Number Theory · Mathematics 2017-10-11 Dorin Ervin Dutkay , Isabelle Kraus

Kansei models were used to study the connotative meaning of music. In multimedia and mixed reality, automatically generated melodies are increasingly being used. It is important to consider whether and what feelings are communicated by this…

Sound · Computer Science 2022-09-01 Filippo Carnovalini , Alessandro Pelizzo , Antonio Rodà , Sergio Canazza

Uncertainty in the estimation of the causal effect in observational studies is often due to unmeasured confounding, i.e., the presence of unobserved covariates linking treatments and outcomes. Instrumental Variables (IV) are commonly used…

Methodology · Statistics 2019-07-30 M. Usaid Awan , Yameng Liu , Marco Morucci , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

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

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

Alignments, i.e., position-wise comparisons of two or more strings or ordered lists are of utmost practical importance in computational biology and a host of other fields, including historical linguistics and emerging areas of research in…

Combinatorics · Mathematics 2018-10-19 Sarah J. Berkemer , Christian Höner zu Siederdissen , Peter F. Stadler
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