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This paper presents a novel method for measuring the structural similarity between music recordings. It uses recurrence plot analysis to characterize patterns of repetition in the feature sequence, and the normalized compression distance, a practical approximation of the joint Kolmogorov complexity, to measure the pairwise similarity between the plots. By measuring the distance between intermediate representations of signal structure, the proposed method departs from common approaches to music structure analysis which assume a block-based model of music, and thus concentrate on segmenting and clustering sections. The approach ensures that global structure is consistently and robustly characterized in the presence of tempo, instrumentation, and key changes, while the used metric provides a simple to compute, versatile and robust alternative to common approaches in music similarity research. Finally, experimental results demonstrate success at characterizing similarity, while contributing an optimal parameterization of the proposed approach.