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This paper briefly describes the underlying methodology beneath our submissions to the first Multi-F0 Estimation and Tracking Evaluation Task at MIREX 2007\footnote{\url{http://www.music-ir.org/mirex2007/index.php/Multiple_Fundamental_Frequency_Estimation_&_Tracking}}. The two systems described here are based on simple facts about music pitch structures that is briefly described in this abstract and share variations of an on-line machine learning approach presented previously in \cite{cont06b}. The systems were designed as a compromise between the speed of performance and precision, and achieves real-time performance and compete with systems very far from on-line considerations.