Paper Info
Title
Finding Meter in Music Using An Autocorrelation Phase Matrix and Shannon Entropy
Abstract
This paper introduces a novel way to detect metrical struc- ture in music. We introduce a way to compute autocorre- lation such that the distribution of energy in phase space is preserved in a matrix. The resulting autocorrelation phase matrix is useful for several tasks involving metrical struc- ture. First we can use the matrix to enhance standard auto- correlation by calculating the Shannon entropy at each lag. This approach yields improved results for autocorrelation- based tempo induction. Second, we can efficiently search the matrix for combinations of lags that suggest particular metrical hierarchies. This approach yields a good model for predicting the meter of a piece of music. Finally we can use the phase information in the matrix to align a can- didate meter with music, making it possible to perform beat induction with an autocorrelation-based model. We present results for several meter prediction and tempo in- duction datasets, demonstrating that the approach is com- petitive with models designed specifically for these tasks. We also present preliminary beat induction results on a small set of artificial patterns. sults for meter prediction and tempo induction. We will also present some details concerning the alignment of the metrical structure with a piece of music. We will also present alignment results for a small dataset of artificial patterns. However the details of computing this alignment online (for beat induction) are the topic of another paper. The structure of this paper is as follows. In Section 2 we will discuss other approaches to finding meter and beat in music. In Section 3 we will describe our model consist- ing of the creation of an autocorrelation matrix, computa- tion of the entropy for each lag in this matrix, the selection of a metrical hierarchy and the alignment of the hierarchy with music. Finally in Section 4 we present simulation results.
Year
Venue
Keywords
2005
ISMIR 2013
entropy,autocorrelation,tempo induction,beat in- duction,meter prediction,shannon entropy,phase space
Field
DocType
Citations 
Autocorrelation technique,Matrix (mathematics),Computer science,Phase space,Speech recognition,Artificial intelligence,Beat (music),Entropy (information theory),Lag,Small set,Machine learning,Autocorrelation
Conference
6
PageRank 
References 
Authors
0.90
5
2
Name
Order
Citations
PageRank
Douglas Eck174864.84
Norman Casagrande2674.50