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arXiv.org e-Print Archive
Preprint . 2007
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https://doi.org/10.1063/1.2713...
Article . 2007 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2007
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https://dx.doi.org/10.1063/1.2...
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Detrended Fluctuation Analysis of Bach’s Inventions and Sinfonias Pitches

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2007Embargo end date: 01 Jan 2007Publisher:AIPJournal:AIP Conference Proceedings, volume 889, pages 310-314 (issn: 0094-243X, Copyright policy )
Authors: Jafari, G. R.; Pedram, P.; Tabrizi, K. Ghafoori;

doi: 10.1063/1.2713472 , 10.48550/arxiv.physics/0703179

arXiv: physics/0703179

Detrended Fluctuation Analysis of Bach’s Inventions and Sinfonias Pitches

Abstract

Detrended Fluctuation Analysis (DFA), suitable for the analysis of nonstationary time series, is used to investigate power law in some of the Bach's pitches series. Using DFA method, which also is a well-established method for the detection of long-range correlations, frequency series of Bach's pitches have been analyzed. In this view we find same Hurts exponents in the range (0.7-0.8) in his Inventions and sinfonia.

5 pages, 4 figures

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Keywords

Physics - Data Analysis, Statistics and Probability, FOS: Physical sciences, Computational Physics (physics.comp-ph), Physics - Computational Physics, Data Analysis, Statistics and Probability (physics.data-an)

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green