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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

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

The dichotic method of hearing sound adapts in the region of musical harmony. The algorithm of the separation of the being dissonant voices into several separate groups is proposed. For an increase in the pleasantness of chords the…

Sound · Computer Science 2024-05-09 Vadim R. Madgazin

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

Many formal languages of contemporary mathematical music theory -- particularly those employing category theory -- are powerful but cumbersome: ideas that are conceptually simple frequently require expression through elaborate categorical…

Category Theory · Mathematics 2025-12-05 Drew Flieder

This study is a theoretical approach for exploring the applicability of a 2D cellular automaton based on melodic and harmonic intervals in random arrays of musical notes. The aim of this study was to explore alternatives uses for a cellular…

Sound · Computer Science 2024-12-03 Igor Lugo , Martha G. Alatriste-Contreras

We make some general observations about partial orders on quotient spaces, and explore their use in music theory, in two different contexts. In the first, we show that many of the most familiar chord and scale types in Western music appear…

General Mathematics · Mathematics 2012-11-02 Marcus Pendergrass

Music is inherently complex, with structures and interactions that unfold across multiple layers. Complex networks have emerged as powerful structures for the quantitative analysis of Western classical music, revealing significant features…

Sound · Computer Science 2025-06-11 Dima Mrad , Sara Najem

The term melodic template or skeleton refers to a basic melody which is subject to variation during a music performance. In many oral music tradition, these templates are implicitly passed throughout generations without ever being…

Sound · Computer Science 2022-09-29 Sergey Bereg , José-Miguel Díaz-Báñez , Nadine Kroher , Inmaculada Ventura

Computational models of music, while providing good descriptions of melodic development, still cannot fully grasp the general structure comprised of repetitions, transpositions, and reuse of melodic material. We present a corpus of strongly…

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

This paper constructs a tree structure for the music rhythm using the L-system. It models the structure as an automata and derives its complexity. It also solves the complexity for the L-system. This complexity can resolve the similarity…

Artificial Intelligence · Computer Science 2010-03-10 Cheng-Yuan Liou , Tai-Hei Wu , Chia-Ying Lee

Music contains hierarchical structures beyond beats and measures. While hierarchical structure annotations are helpful for music information retrieval and computer musicology, such annotations are scarce in current digital music databases.…

Sound · Computer Science 2022-09-22 Junyan Jiang , Daniel Chin , Yixiao Zhang , Gus Xia

Western music is an innately hierarchical system of interacting levels of structure, from fine-grained melody to high-level form. In order to analyze music compositions holistically and at multiple granularities, we propose a unified,…

Artificial Intelligence · Computer Science 2025-06-23 Ilana Shapiro , Ruanqianqian Huang , Zachary Novack , Cheng-i Wang , Hao-Wen Dong , Taylor Berg-Kirkpatrick , Shlomo Dubnov , Sorin Lerner

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, we introduce new methods and discuss results of text-based LSTM (Long Short-Term Memory) networks for automatic music composition. The proposed network is designed to learn relationships within text documents that represent…

Artificial Intelligence · Computer Science 2016-04-20 Keunwoo Choi , George Fazekas , Mark Sandler

This work addresses the problem of matching short excerpts of audio with their respective counterparts in sheet music images. We show how to employ neural network-based cross-modality embedding spaces for solving the following two sheet…

Information Retrieval · Computer Science 2017-08-01 Matthias Dorfer , Andreas Arzt , Gerhard Widmer

A combination of three or more tones played together is called a chord. In the chromatic scale, chords which are consonant are of particular interest and can be divided into several groups, two main ones being the major and minor chords.…

Popular Physics · Physics 2008-07-17 Kaca Bradonjic

Modern-day Optical Music Recognition (OMR) is a fairly fragmented field. Most OMR approaches use datasets that are independent and incompatible between each other, making it difficult to both combine them and compare recognition systems…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Pau Torras , Sanket Biswas , Alicia Fornés

Music is a fundamental human construct, and harmony provides the building blocks of musical language. Using the Kunstderfuge corpus of classical music, we analyze the historical evolution of the richness of harmonic vocabulary of 76…

Sound · Computer Science 2021-10-19 Marc Serra-Peralta , Joan Serrà , Álvaro Corral