Circular Pitch Space Based Musical Tonality Analysis
The focus of this paper is to give an overview of existing circular pitch spaces, its special properties and application for semantic audio analysis. Beside this the symmetry model is proposed as a framework to describe the inter-model relationships between different circular pitch spaces. Similar to color spaces in vision musical pitch spaces organize pitches in a way that semantic/cognitive/theoretical/physical relationships between tones become geometrically apparent. Within the last years pitch spaces were mainly subject of music theory. But they become more and more interesting for semantic analysis of musical audio signals. Pitch spaces can be applied tokey and chord recognition, similarity calculation of musical pieces, genre estimation, tension analysis or harmonic change detection.