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The paper is focused on man-machine communication, which is perceived in terms of data exchange. Understanding data being exchanged is the fundamental property of intelligent communication. The main objective of this paper is to introduce the paradigm of intelligent data understanding. The paradigm stems from syntactic and semantic characterization of data and is soundly based on the paradigm of granular structuring of data and computation. The paper does not introduce a formal theory of intelligent data understanding. Instead this paradigm as well as notions of granularity, semantics and syntax are cast within the domain of music information. The domain immersion is forced by a substantial dependence of details of the paradigm of automatic data understanding on application in a given domain.

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