Melody and Variation Generation Through KAM Theory
Dynamical Systems
2024-01-17 v1
Abstract
We use the Newton iteration of KAM theory for diffeomorphisms of the circle as a source for melody generation and its variations
Cite
@article{arxiv.2401.07779,
title = {Melody and Variation Generation Through KAM Theory},
author = {Octavio A. Agustín-Aquino and Alicia Santiago-Santos},
journal= {arXiv preprint arXiv:2401.07779},
year = {2024}
}
Related papers
View all related →
Sound · Computer Science
JamBot: Music Theory Aware Chord Based Generation of Polyphonic Music with LSTMs
Gino Brunner, Yuyi Wang, Roger Wattenhofer, Jonas Wiesendanger
2017-11-22
Dynamical Systems · Mathematics
An abstract KAM theorem
Mauricio Garay
2013-08-22
Sound · Computer Science
Automatic Melody Reduction via Shortest Path Finding
Ziyu Wang, Yuxuan Wu, Roger B. Dannenberg, Gus Xia
2025-08-05
Neural and Evolutionary Computing · Computer Science
Melody Generation using an Interactive Evolutionary Algorithm
Majid Farzaneh, Rahil Mahdian Toroghi
2020-04-09
Sound · Computer Science
Melody Generation for Pop Music via Word Representation of Musical Properties
Andrew Shin, Leopold Crestel, Hiroharu Kato, Kuniaki Saito +5
2017-11-01
chao-dyn · Physics
A KAM type theorem for systems with round-off errors
M. Blank, T. Kruger, L. Pustyl'nikov
2008-02-03
Sound · Computer Science
MeloForm: Generating Melody with Musical Form based on Expert Systems and Neural Networks
Peiling Lu, Xu Tan, Botao Yu, Tao Qin +2
2022-08-31
Sound · Computer Science
MELONS: generating melody with long-term structure using transformers and structure graph
Yi Zou, Pei Zou, Yi Zhao, Kaixiang Zhang +2
2021-11-04
Sound · Computer Science
A-Muze-Net: Music Generation by Composing the Harmony based on the Generated Melody
Or Goren, Eliya Nachmani, Lior Wolf
2021-11-29
Classical Analysis and ODEs · Mathematics
Relativistic pendulum and invariant curves
Stefano Maró
2020-04-22
High Energy Physics - Theory · Physics
An effective quantum mechanism for mass generation in diffeomorphism-invariant theories
J. L. Jaramillo, V. Aldaya
2009-11-07
Sound · Computer Science
Rhythm, Chord and Melody Generation for Lead Sheets using Recurrent Neural Networks
Cedric De Boom, Stephanie Van Laere, Tim Verbelen, Bart Dhoedt
2020-02-25
Differential Geometry · Mathematics
Mayer-Vietoris sequence for generating families in diffeological spaces
Enrique Macías-Virgós, Reihaneh Mehrabi
2022-09-20
Dynamical Systems · Mathematics
Rotation domains for maps of bounded type
Nataliya Goncharuk, Michael Yampolsky
2026-05-21
Symplectic Geometry · Mathematics
An analytic KAM-Theorem
Joachim Albrecht
2007-05-23
Sound · Computer Science
Adaptive music: Automated music composition and distribution
David Daniel Albarracín Molina
2022-01-26
Spectral Theory · Mathematics
Synthesis of a quantum tree Weyl matrix
Sergei A. Avdonin, Kira V. Khmelnytskaya, Vladislav V. Kravchenko
2024-10-23
Dynamical Systems · Mathematics
Invariant Tori of Impulsive Duffing-Type Equations via KAM Technique
Lu Chen, Jianhua Shen
2017-06-28
Dynamical Systems · Mathematics
Universal frequency-preserving KAM persistence via modulus of continuity
Zhicheng Tong, Yong Li
2023-02-01
Astrophysics of Galaxies · Physics
Practical application of KAM theory to galactic dynamics: I. Motivation and methodology
Martin D. Weinberg
2015-08-28
Sound · Computer Science
Interference Reduction in Music Recordings Combining Kernel Additive Modelling and Non-Negative Matrix Factorization
Delia Fano Yela, Sebastian Ewert, Derry FitzGerald, Mark Sandler
2017-11-01
Sound · Computer Science
Sequence Generation using Deep Recurrent Networks and Embeddings: A study case in music
Sebastian Garcia-Valencia, Alejandro Betancourt, Juan G. Lalinde-Pulido
2020-12-03
Sound · Computer Science
A Framework for Automated Pop-song Melody Generation with Piano Accompaniment Arrangement
Ziyu Wang, Gus Xia
2018-12-31
Dynamical Systems · Mathematics
A KAM phenomenon for singular holomorphic vector fields
L. Stolovitch
2007-05-23
Sound · Computer Science
High-Level Control of Drum Track Generation Using Learned Patterns of Rhythmic Interaction
Stefan Lattner, Maarten Grachten
2019-08-05