Modelling Complexity in Musical Rhythm
Artificial Intelligence
2010-03-10 v1
Abstract
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 between trees. This complexity serves as a measure of psychological complexity for rhythms. It resolves the music complexity of various compositions including the Mozart effect K488. Keyword: music perception, psychological complexity, rhythm, L-system, automata, temporal associative memory, inverse problem, rewriting rule, bracketed string, tree similarity
Cite
@article{arxiv.cs/0703124,
title = {Modelling Complexity in Musical Rhythm},
author = {Cheng-Yuan Liou and Tai-Hei Wu and Chia-Ying Lee},
journal= {arXiv preprint arXiv:cs/0703124},
year = {2010}
}
Comments
21 pages, 13 figures, 2 tables