Pregroup Grammars for Chords

Pregroups had been conceived as an algebraic tool to recognize grammatically well-formed sentences in natural languages [3]. Here we wish to use pregroups to recognize well-formed chords of pitches, for a given definition of those chords. We show how a judicious choice of basic and simple types allows a context-free grammatical description. Then we use the robustness property to extend the set of well-formed chords in a simple way. Finally we argue in favor of an utilization of pregroups grammars for the recognition and classification of chord sequences.

• Type: Conference
• Year: 2004
• Where: ISMIR
• Authors: Richard Terrat
• Keywords: Context-free Grammatical Description, ISMIR 2004, Well-formed Chords, Well-formed Sentences