Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures.
1/f fluctuations have been described in numerous physical and biological processes. This noise structure describes an inverse relationship between the intensity and frequency of events in a time series (for example reflected in power spectra), and is believed to indicate long-range dependence, where...
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doaj-3c12fe8f934f4aba93d4c9074b24505d2021-03-03T20:41:57ZengPublic Library of Science (PLoS)PLoS ONE1932-62032019-01-01145e021608810.1371/journal.pone.0216088Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures.Ian D ColleyRoger T Dean1/f fluctuations have been described in numerous physical and biological processes. This noise structure describes an inverse relationship between the intensity and frequency of events in a time series (for example reflected in power spectra), and is believed to indicate long-range dependence, whereby events at one time point influence events many observations later. 1/f has been identified in rhythmic behaviors, such as music, and is typically attributed to long-range correlations. However short-range dependence in musical performance is a well-established finding and past research has suggested that 1/f can arise from multiple continuing short-range processes. We tested this possibility using simulations and time-series modeling, complemented by traditional analyses using power spectra and detrended fluctuation analysis (as often adopted more recently). Our results show that 1/f-type fluctuations in musical contexts may be explained by short-range models involving multiple time lags, and the temporal ranges in which rhythmic hierarchies are expressed are apt to create these fluctuations through such short-range autocorrelations. We also analyzed gait, heartbeat, and resting-state EEG data, demonstrating the coexistence of multiple short-range processes and 1/f fluctuation in a variety of phenomena. This suggests that 1/f fluctuation might not indicate long-range correlations, and points to its likely origins in musical rhythm and related structures.https://doi.org/10.1371/journal.pone.0216088 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ian D Colley Roger T Dean |
spellingShingle |
Ian D Colley Roger T Dean Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures. PLoS ONE |
author_facet |
Ian D Colley Roger T Dean |
author_sort |
Ian D Colley |
title |
Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures. |
title_short |
Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures. |
title_full |
Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures. |
title_fullStr |
Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures. |
title_full_unstemmed |
Origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures. |
title_sort |
origins of 1/f noise in human music performance from short-range autocorrelations related to rhythmic structures. |
publisher |
Public Library of Science (PLoS) |
series |
PLoS ONE |
issn |
1932-6203 |
publishDate |
2019-01-01 |
description |
1/f fluctuations have been described in numerous physical and biological processes. This noise structure describes an inverse relationship between the intensity and frequency of events in a time series (for example reflected in power spectra), and is believed to indicate long-range dependence, whereby events at one time point influence events many observations later. 1/f has been identified in rhythmic behaviors, such as music, and is typically attributed to long-range correlations. However short-range dependence in musical performance is a well-established finding and past research has suggested that 1/f can arise from multiple continuing short-range processes. We tested this possibility using simulations and time-series modeling, complemented by traditional analyses using power spectra and detrended fluctuation analysis (as often adopted more recently). Our results show that 1/f-type fluctuations in musical contexts may be explained by short-range models involving multiple time lags, and the temporal ranges in which rhythmic hierarchies are expressed are apt to create these fluctuations through such short-range autocorrelations. We also analyzed gait, heartbeat, and resting-state EEG data, demonstrating the coexistence of multiple short-range processes and 1/f fluctuation in a variety of phenomena. This suggests that 1/f fluctuation might not indicate long-range correlations, and points to its likely origins in musical rhythm and related structures. |
url |
https://doi.org/10.1371/journal.pone.0216088 |
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