Information-based syntax and semantics: Vol. 1: fundamentals
Information-based syntax and semantics: Vol. 1: fundamentals
An algebra for tree-based music generation
CAI'07 Proceedings of the 2nd international conference on Algebraic informatics
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In this paper, we will present an analysis system of chord progression in HPSG (Head-Driven Phrase Structure Grammar). It is said that the structure of music is somewhat similar to that of natural language sentences. When we try to write rules for chord progression in context-free grammar, we need to add a lot of rules for trivial exceptions. However in HPSG, we can encapsulate such diversity in the feature structure of each category and can reduce the number of rules. In addition, we can utilize the notion of head, which is the prime constituent in lower concepts, to represent various hierarchical knowledge in musicology. We show that our system adequately resolves the mutual dependency between the key and the chord progression from a given sequences of chords, and that the system outputs the candidates of plausible harmony sequences. We evaluate the experimental results, and discuss the problems and the future extension of our method.