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We test a segmentation algorithm, based on the calculation of the Jensen-Shannon divergence between probability distributions, to two symbolic sequences of literary and musical origin. The first sequence represents the successive appearance…

Computation and Language · Computer Science 2007-07-09 Damian H. Zanette

In this work we show a technique that allows for the musical interpretation of the brightness variations of stars. This method allows composers a lot of freedom to incorporate their own ideas into the score, based on the melodic line…

Instrumentation and Methods for Astrophysics · Physics 2018-11-08 C. A. Droppelmann , R. E. Mennickent

In this paper, graph theory is used to explore the musical notion of tonal modulation, in theory and application. We define (pivot) modulation graphs based on the common scales used in popular music. Properties and parameters of these…

Sound · Computer Science 2023-06-27 Jason I. Brown , Ian George

Chord recognition systems depend on robust feature extraction pipelines. While these pipelines are traditionally hand-crafted, recent advances in end-to-end machine learning have begun to inspire researchers to explore data-driven methods…

Machine Learning · Computer Science 2016-12-16 Filip Korzeniowski , Gerhard Widmer

Analytical expressions for the distribution of the length of chords corresponding to the affine invariant measure on the set of chords are given for convex polygons. These analytical expressions are a computational improvement over other…

Metric Geometry · Mathematics 2015-08-18 Ricardo García-Pelayo

A characteristic of woodwind instruments is the cutoff frequency of their tone-hole lattice. Benade proposed a practical definition using the measurement of the input impedance, for which at least two frequency bands appear. The first one…

Classical Physics · Physics 2011-08-19 Elise Moers , Jean Kergomard

Cadences are complex structures that have been driving music from the beginning of contrapuntal polyphony until today. Detecting such structures is vital for numerous MIR tasks such as musicological analysis, key detection, or music…

Sound · Computer Science 2022-09-01 Emmanouil Karystinaios , Gerhard Widmer

This paper introduces a new large-scale music dataset, MusicNet, to serve as a source of supervision and evaluation of machine learning methods for music research. MusicNet consists of hundreds of freely-licensed classical music recordings…

Machine Learning · Statistics 2017-04-07 John Thickstun , Zaid Harchaoui , Sham Kakade

Quantification of stylistic differences between musical artists is of academic interest to the music community, and is also useful for other applications such as music information retrieval and recommendation systems. Information about…

Applications · Statistics 2020-12-23 Anna K. Yanchenko , Peter D. Hoff

One of the most significant attitudinal shifts in the history of music occurred in the Renaissance, when an emerging triadic consciousness moved musicians towards a new scalar formation that placed major thirds on a par with perfect fifths.…

Combinatorics · Mathematics 2017-07-11 David Clampitt , Thomas Noll

Musical frequencies in Just Intonation are comprised of rational numbers. The structure of rational numbers is determined by prime factorisations. Just Intonation frequencies can be split into two components. The larger component uses only…

Sound · Computer Science 2017-03-29 David Ryan

This paper approaches the problem of separating the notes from a quantized symbolic music piece (e.g., a MIDI file) into multiple voices and staves. This is a fundamental part of the larger task of music score engraving (or score…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-01 Francesco Foscarin , Emmanouil Karystinaios , Eita Nakamura , Gerhard Widmer

Guitar tablature transcription consists in deducing the string and the fret number on which each note should be played to reproduce the actual musical part. This assignment should lead to playable string-fret combinations throughout the…

We present a graph-based engine for computing chord tone soloing suggestions for guitar students. Chord tone soloing is a fundamental practice for improvising over a chord progression, where the instrumentalist uses only the notes contained…

Artificial Intelligence · Computer Science 2025-10-23 Matthew Keating , Michael Casey

We consider the harmonic balance method for finding approximate periodic solutions of the Lorenz system. When developing software that implements the described method, the math package Maxima was chosen. The drawbacks of symbolic…

Dynamical Systems · Mathematics 2019-08-26 Alexander N. Pchelintsev , Andrey A. Polunovskiy , Irina Yu. Yukhanova

Concave compositions are ordered partitions whose parts are decreasing towards a central part. We study the distribution modulo $a$ of the number of concave compositions. Let $c(n)$ be the number of concave compositions of $n$ having even…

Number Theory · Mathematics 2014-07-07 Keenan Monks , Lynnelle Ye

Music information retrieval distinguishes between low- and high-level descriptions of music. Current generative AI models rely on text descriptions that are higher level than the controls familiar to studio musicians. Pitch strength, a…

Sound · Computer Science 2025-07-08 Emmanuel Deruty

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

A MIDI based approach for music recognition is proposed and implemented in this paper. Our Clarinet music retrieval system is designed to search piano MIDI files with high recall and speed. We design a novel melody extraction algorithm that…

Information Retrieval · Computer Science 2023-01-02 Kshitij Alwadhi , Rohan Sharma , Siddhant Sharma

We construct finite element Stokes complexes on tetrahedral meshes in three-dimensional space. In the lowest order case, the finite elements in the complex have 4, 18, 16, and 1 degrees of freedom, respectively. As a consequence, we obtain…

Numerical Analysis · Mathematics 2021-11-02 Kaibo Hu , Qian Zhang , Zhimin Zhang