Lattice for musical structure and its arithmetics

  • Authors:
  • Keiji Hirata;Satoshi Tojo

  • Affiliations:
  • NTT Communication Science Laboratories, Kyoto, Japan;Japan Advanced Institute of Science and Technology, Nomi, Ishikawa, Japan

  • Venue:
  • JSAI'06 Proceedings of the 20th annual conference on New frontiers in artificial intelligence
  • Year:
  • 2006

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Abstract

In this paper, we describe and discuss problems in terms of the music formalization framework that we are developing. Currently, we aim at building a contents design framework for ordinary people in a formal approach. Based on the knowledge representation technology, an art piece and contents are represented by a feature structure and the high-level operations upon the feature structure are available. When we apply the framework to implementing a practical musical system, we face some problems related to algebra, knowledge representation, and/or implementation. These are the issues concerned with: a relative pseudocomplement introduced for increasing descriptive power, an abstraction level of the distance between musical fragments, and a formalization of musical operations in addition to that of musical relations.