Abstract
This paper proposes a mathematical framework that visualizes understanding process of rhetoric that is used for musical interpretation. This rhetoric play a role in loosely constrain-ting the implicit notion and leads a way for the interpretation. We firstly state the semantic structure of the rhetoric representations handling process. Based on it, we carry out an structure analysis of musical interpretations' communication process. Furthermore, we propose a mathematical representation of generation process that represents performers' internal representation, focusing on rhetoric's' semantic structure. Finally, we discussed variations and hierarchy of rhetoric.
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