Arrow of time across five centuries of classical music
Alfredo González-Espinoza, Gustavo Martínez-Mekler, Lucas Lacasa
Abstract
This paper considers classical music pieces as stochastic trajectories and explores the extent to which these display statistical time irreversibility, i.e. whether a preferential time arrow emerges with an associated entropy production. Since 1/f noise ---a paradigm to explain the complexity of music--- is by construction time reversible, finding clear signatures of time irreversibility in music suggests that linear temporal correlations are not sufficient to explain the statistical patterns underlying musical compositions.
Topics & Concepts
Arrow of timeArrowClassical musicEntropy (arrow of time)MusicalNoise (video)Statistical analysisComputer scienceMathematicsPrinciple of maximum entropyPeriod (music)Statistical modelTime seriesHistoryStochastic processLinguisticsSpeech recognitionNeuroscience and Music PerceptionChaos control and synchronizationMusic Technology and Sound Studies