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The melodic consonance of a sequence of tones is explained using the overtone series: the overtones form "flow lines" that link the tones melodically; the strength of these flow lines determines the melodic consonance. This hypothesis…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jared E. Anderson

This study borrows and extends probabilistic language models from natural language processing to discover the syntactic properties of tonal harmony. Language models come in many shapes and sizes, but their central purpose is always the…

Sound · Computer Science 2018-06-25 David R. W. Sears , Filip Korzeniowski , Gerhard Widmer

We use coupled hidden Markov models to automatically annotate the 371 Bach chorales in the Riemenschneider edition, a corpus containing approximately 100,000 notes and 20,000 chords. We give three separate analyses that achieve…

Machine Learning · Computer Science 2024-08-01 Dmitri Tymoczko , Mark Newman

Music creation is typically composed of two parts: composing the musical score, and then performing the score with instruments to make sounds. While recent work has made much progress in automatic music generation in the symbolic domain,…

Sound · Computer Science 2018-11-13 Bryan Wang , Yi-Hsuan Yang

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…

In this paper we present mathematical and physical models to be used in the analysis of the problem of intonation of musical instruments such as guitars, mandolins and the like, i.e., we study how to improve the tuning on these instruments.…

Classical Physics · Physics 2010-01-26 Gabriele U. Varieschi , Christina M. Gower

The field of music generation using Large Language Models (LLMs) is evolving rapidly, yet existing music notation systems, such as MIDI, ABC Notation, and MusicXML, remain too complex for effective fine-tuning of LLMs. These formats are…

Algorithmic harmonization - the automated harmonization of a musical piece given its melodic line - is a challenging problem that has garnered much interest from both music theorists and computer scientists. One genre of particular interest…

Sound · Computer Science 2022-02-24 Yunyao Zhu , Stephen Hahn , Simon Mak , Yue Jiang , Cynthia Rudin

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

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

Structure perception is a fundamental aspect of music cognition in humans. Historically, the hierarchical organization of music into structures served as a narrative device for conveying meaning, creating expectancy, and evoking emotions in…

Sound · Computer Science 2023-03-28 Nicolas Lazzari , Andrea Poltronieri , Valentina Presutti

Arranging music for a different set of instruments that it was originally written for is traditionally a tedious and time-consuming process, performed by experts with intricate knowledge of the specific instruments and involving significant…

Up to around 1.1 kHz, the soundboard of the piano behaves like a homogeneous plate whereas upper in frequency, it can be described as a set of waveguides defined by the ribs. In consequence: a) The acoustical coincidence phenomenon is…

Classical Physics · Physics 2012-10-19 Kerem Ege , Xavier Boutillon

While neural network models are making significant progress in piano transcription, they are becoming more resource-consuming due to requiring larger model size and more computing power. In this paper, we attempt to apply more prior about…

Sound · Computer Science 2022-09-01 Weixing Wei , Peilin Li , Yi Yu , Wei Li

Even if the tuning between the first and second register of a clarinet has been optimized by instrument makers, the lowest twelfths remain slightly too large (inharmonicity). In this article, we study the problem from two different points…

Classical Physics · Physics 2007-05-23 Vincent Debut , Jean Kergomard , Franck Laloe

We generate high-order harmonics at high pulse repetition rates using a turnkey laser. High-order harmonics at 400 kHz are observed when argon is used as target gas. In neon we achieve generation of photons with energies exceeding 90 eV…

By a "scheme" of a musical canon, we mean the time and pitch displacement of each entering voice. When the time displacements are unequal, achieving consonant sonorities is especially challenging. Using a first-species theoretical model, we…

Number Theory · Mathematics 2025-06-16 Evan M. O'Dorney

The buildup and release of a sense of tension is one of the most essential aspects of the process of listening to music. A veridical computational model of perceived musical tension would be an important ingredient for many music…

Sound · Computer Science 2017-07-05 Ali Nikrang , David R. W. Sears , Gerhard Widmer

Singing melody extraction is an important problem in the field of music information retrieval. Existing methods typically rely on frequency-domain representations to estimate the sung frequencies. However, this design does not lead to…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-03 Ke Chen , Shuai Yu , Cheng-i Wang , Wei Li , Taylor Berg-Kirkpatrick , Shlomo Dubnov

We introduce a structure-aware approach for symbolic piano accompaniment that decouples high-level planning from note-level realization. A lightweight transformer predicts an interpretable, per-measure style plan conditioned on…

Sound · Computer Science 2026-02-18 Wanyu Zang , Yang Yu , Meng Yu
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