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Musical chords, harmonies or melodies in Just Intonation have note frequencies which are described by a base frequency multiplied by rational numbers. For any local section, these notes can be converted to some base frequency multiplied by…

Sound · Computer Science 2017-01-25 David Ryan

This paper proposes a system for chord generation to monophonic symbolic melodies using an LSTM-based model trained on chroma histogram representations of chords. Chroma representations promise more harmonically rich generation than chord…

Sound · Computer Science 2024-05-09 Jack Hardwick

The equable, Pythagorean and natural scales are built on the basis of a mathematical logic.

History and Overview · Mathematics 2018-02-19 Federico Talamucci

In deep learning research, many melody extraction models rely on redesigning neural network architectures to improve performance. In this paper, we propose an input feature modification and a training objective modification based on two…

Sound · Computer Science 2023-08-08 Keren Shao , Ke Chen , Taylor Berg-Kirkpatrick , Shlomo Dubnov

The term "differentiable digital signal processing" describes a family of techniques in which loss function gradients are backpropagated through digital signal processors, facilitating their integration into neural networks. This article…

Sound · Computer Science 2023-08-30 Ben Hayes , Jordie Shier , György Fazekas , Andrew McPherson , Charalampos Saitis

Automatic music transcription (AMT), aiming to convert musical signals into musical notation, is one of the important tasks in music information retrieval. Recently, previous works have applied high-resolution labels, i.e., the continuous…

Sound · Computer Science 2024-10-01 Jinyi Mi , Sehun Kim , Tomoki Toda

Automatic drum transcription, a subtask of the more general automatic music transcription, deals with extracting drum instrument note onsets from an audio source. Recently, progress in transcription performance has been made using…

Sound · Computer Science 2018-10-04 Richard Vogl , Gerhard Widmer , Peter Knees

Tracking the fundamental frequency (f0) of a monophonic instrumental performance is effectively a solved problem with several solutions achieving 99% accuracy. However, the related task of automatic music transcription requires a further…

Sound · Computer Science 2023-11-16 Xavier Riley , Simon Dixon

Composing coherent long-form music remains a significant challenge due to the complexity of modeling long-range dependencies and the prohibitive memory and computational requirements associated with lengthy audio representations. In this…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-24 Jianyi Chen , Rongxiu Zhong , Shilei Zhang , Kun Qian , Jinglei Liu , Yike Guo , Wei Xue

We present a statistical-modelling method for piano reduction, i.e. converting an ensemble score into piano scores, that can control performance difficulty. While previous studies have focused on describing the condition for playable piano…

Artificial Intelligence · Computer Science 2018-10-26 Eita Nakamura , Kazuyoshi Yoshii

Discovering and exploring the underlying structure of multi-instrumental music using learning-based approaches remains an open problem. We extend the recent MusicVAE model to represent multitrack polyphonic measures as vectors in a latent…

Machine Learning · Statistics 2018-06-04 Ian Simon , Adam Roberts , Colin Raffel , Jesse Engel , Curtis Hawthorne , Douglas Eck

The polyphonic nature of music makes the application of deep learning to music modelling a challenging task. On the other hand, the Transformer architecture seems to be a good fit for this kind of data. In this work, we present Calliope, a…

Sound · Computer Science 2021-07-13 Andrea Valenti , Stefano Berti , Davide Bacciu

We give a formal definition of the musical concept of voice leading in mathematical terms, based on the idea of partial permutations of certain ordered multisets. Then we associate a partial permutation matrix with a voice leading in a…

History and Overview · Mathematics 2015-08-25 Mattia G. Bergomi , Riccardo D. Jadanza , Alessandro Portaluri

In this paper, we propose and investigate the use of neural audio codec language models for the automatic generation of sample-based musical instruments based on text or reference audio prompts. Our approach extends a generative audio…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-23 Shahan Nercessian , Johannes Imort , Ninon Devis , Frederik Blang

A large toolbox of numerical schemes for dispersive equations has been established, based on different discretization techniques such as discretizing the variation-of-constants formula (e.g., exponential integrators) or splitting the full…

Numerical Analysis · Mathematics 2024-05-20 Frédéric Rousset , Katharina Schratz

This work introduces the M6(GPT)3 composer system, capable of generating complete, multi-minute musical compositions with complex structures in any time signature, in the MIDI domain from input descriptions in natural language. The system…

Sound · Computer Science 2025-09-30 Jakub Poćwiardowski , Mateusz Modrzejewski , Marek S. Tatara

Consonance is related to the perception of pleasantness arising from a combination of sounds and has been approached quantitatively using mathematical relations, physics, information theory, and psychoacoustics. Tonal consonance is present…

Sound · Computer Science 2017-04-25 Jorge Useche , Rafael Hurtado

The representation of basic elements of music in terms of discrete audio signals is often used in software for musical creation and design. Nevertheless, there is no unified approach that relates these elements to the discrete samples of…

FM Synthesis is a well-known algorithm used to generate complex timbre from a compact set of design primitives. Typically featuring a MIDI interface, it is usually impractical to control it from an audio source. On the other hand,…

Sound · Computer Science 2022-08-15 Franco Caspe , Andrew McPherson , Mark Sandler

The utilization of deep learning techniques in generating various contents (such as image, text, etc.) has become a trend. Especially music, the topic of this paper, has attracted widespread attention of countless researchers.The whole…

Sound · Computer Science 2020-11-16 Shulei Ji , Jing Luo , Xinyu Yang