Tonality: Pitch Profiles Analysis

This lecture delves into the concept of tonality, exploring the hierarchical relations between pitches or chords organized around a central pitch (tonic). It discusses the establishment of tonal hierarchy, pitch profiles in scale completion, motivating follow-up studies, and statistical analysis of pitch classes. The lecture also covers the comparison of pitch profiles, Zipf distribution of pitch occurrences, and the historical development of tonality. Additionally, it examines the use of pitch spaces to analyze pitch distributions, including the Tonnetz and Euler space, and the correlation between key profiles. The lecture concludes by discussing the use of pitch spaces to analyze pitch distributions and the Tonnetz as the foundation of a different tonality.