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The current study carries further the research initiated in another article published in 2010, entitled Mathematical models for analysing diatonic modes. This research naturally completes the other by the supplementary approach of the chromatic musical modes. Only one of the two analysis models presented then will be selected, the latter one. The former model employed in the previous study does not display any applicability when it comes to chromatic modes. The latter model, which was initially applied only to dia...