The time-span tree of Jackendoff and Lehrdahl’s Generative Theory of Tonal Music is one of the most promising representations of human cognition of music. In order to show this, we compare the distance in trees and psychological dissimilarity by using variations of Ah vous dirais-je, maman by Mozart. Since pitch and chord sequence also affect the time spans, we amend the time-span analysis to include pitch information. Then, we introduce a pitch distance based on Lerdahl’s theory and revise the tree distance. We compare analyses with and without the pitch information and show the efficacy of our method.
['Masaki Matsubara', 'Keiji Hirata', 'Satoshi Tojo']
Distance in Pitch Sensitive Time-span Tree