Detrended Fluctuation analysis of Bach’s Inventions and Sinfonias pitches
نویسندگان
چکیده
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.
منابع مشابه
Revealing competitive behaviours in music by means of the multifractal detrended fluctuation analysis: application to Bach’s Sinfonias
The one-, twoand three-dimensional multifractal detrended fluctuation analysis (MFDFA) was applied to Bach’s Sinfonias, which are characterized by the superposition of three different voices. Each voice, represented as a time series, can be considered as a component of a one-, twoor three-dimensional vector. The one-dimensional MF-DFA was applied to any single voice, while the twoand three-dime...
متن کاملStreaming from MIDI Using Constraint Satisfaction Optimization and Sequence Alignment
We present a new system for separating streams in musical pieces encoded as MIDI files. Our approach is to: (1) divide the music under analysis into short segments, (2) analyze each segment using constraint satisfaction optimization, and (3) connect these analyses using a sequence alignment algorithm. Parameters for the system are learned automatically on a small training corpus and generalize ...
متن کاملDetrended Fluctuation Analysis of Music Signals: Danceability Estimation and further Semantic Characterization
Detrended fluctuation analysis (DFA) has been proposed by Peng et al. [1] to be used on biomedical data. It originates from fractal analysis and reveals correlations within data series across different time scales. Jennings et al. [2] used a DFA-derived feature, the detrended variance fluctuation exponent, for musical genre classification introducing the method to the music analysis field. In t...
متن کاملA new method for abrupt change detection in dynamic structures
Based on Detrended Fluctuation Analysis (DFA), we propose a new method – Moving Detrended Fluctuation Analysis (MDFA) – to detect abrupt change in dynamic structures. Application of this technique shows that this method may be of use in detecting time-instants of abrupt change in dynamic structures and we even find that the MDFA results almost do not depend on length of subseries, and are less ...
متن کامل2 7 M ar 2 00 4 Detrended fluctuation analysis as a statistical tool to monitor the climate
Detrended fluctuation analysis is used to investigate power law relationship between the monthly averages of the maximum daily temperatures for different locations in the western US. On the map created by the power law exponents, we can distinguish different geographical regions with different power law exponents. When the power law exponents obtained from the detrended fluctuation analysis are...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007