# Modeling complexity in musical rhythm

@article{Liou2010ModelingCI, title={Modeling complexity in musical rhythm}, author={Cheng-Yuan Liou and Tai-Hei Wu and Chia-Ying Lee}, journal={Complex.}, year={2010}, volume={15}, pages={19-30} }

This article 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. © 2009 Wiley Periodicals, Inc. Complexity, 2010

## 13 Citations

Musiplectics: computational assessment of the complexity of music scores

- Computer ScienceOnward!
- 2015

Musiplectics can engender the creation of practical computing tools for objective and expeditious assessment of a music score's suitability for the abilities of intended performers.

Complexity analysis of music

- Computer ScienceComplex.
- 2016

This work shows how to measure composer style's comprehensiveness by performing measurements on Barlow and Morgenstern dictionary of 10, 000 classical themes. This measure can partially reveal the…

Structure sensitive complexity for symbol-free sequences

- Computer ScienceApplied Informatics
- 2015

The extended method is proposed, based on L-system and topological entropy for context-free grammar, that demonstrates enough sensitivity to extract quasi-regular structured fragments of Chinese texts and to detect irregular styled samples of music inputs.

Experimenting with a Generalized Rhythmic Density Function for Live Coding

- Computer Science
- 2014

A previously implemented realtime algorithmic composition system with live coding interface had rhythm functions which produced stylistically limited output and lacked flexibility. Through a cleaner…

Syntactic Sensitive Complexity for Symbol-Free Sequence

- Computer ScienceIScIDE
- 2013

This work uses L-system to model the text sequence. The sequence complexity is obtained by calculating the complexity of its modeling system. It can sense certain quasi-regular structures and serves…

Subjective judgments of rhythmic complexity in Parkinson’s disease: Higher baseline, preserved relative ability, and modulated by tempo

- PsychologyPloS one
- 2019

This study constructed ten musical rhythms with a varied degree of complexity across three different tempi, and found a uniform elevated baseline for complexity judgments in the PD-group, and a strong association between the two groups’ rank-ordering the rhythms for complexity.

Probabilistic L-systems can look like the branches of plants and trees

- Environmental ScienceComplex.
- 2012

Compared to the branching patterns of plants, turtle graphs appear too regular, however if the length of the trails of the offspring is randomized by 50% and some turtles produce only one offspring or none, then the turtle graphs a surprisingly similar to plant structures.

Probabilistic L-systems can look like the branches of plants and trees

- Environmental Science
- 2012

L-systems are extremely simple algorithms: Visualize a turtle moving a distance d straight forward. At the end of its journey it produces two offspring, one branching of slightly to the left and the…

Unsupervised Learning Introduction

- Psychology

What use can the brain make of the massive flow of sensory information that occurs without any associated rewards or punishments? This question is reviewed in the light of connectionist models of…

Agent-based modelling and economic complexity: a diversified perspective

- Economics
- 2019

Purpose
The term “agent-based modelling” (ABM) is a buzzword which is widely used in the scientific literature even though it refers to a variety of methodologies implemented in different…

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