Network-theoretic analysis and the exploration of stylistic development in Haydn's string quartets

Grant, Ben; Knights, Francis; Padilla, Pablo; Tidhar, Dan

doi:10.1080/17459737.2020.1825844

Cited by 3 publications

(1 citation statement)

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“…First of all, given a musical piece, we need to extract a graph from it. This is done following the approach recently put forward in [15] and [6]: given a score, the main idea is to analyze it by using its distribution of pitch class transitions weighted by note durations in seconds (indeed we will take durations modified according to Parncutt's model [16]) in order to convert it into a weighted directed graph.…”

Section: Ph Of Musical Workmentioning

confidence: 99%

Musical Stylistic Analysis: A Study of Intervallic Transition Graphs via Persistent Homology

Mijangos¹,

Bravetti²,

Padilla³

2022

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Topological data analysis has been recently applied to investigate stylistic signatures and trends in musical compositions. A useful tool in this area is Persistent Homology. In this paper, we develop a novel method to represent a weighted directed graph as a finite metric space and then use persistent homology to extract useful features. We apply this method to weighted directed graphs obtained from pitch transitions information of a given musical fragment and use these techniques to the study of stylistic trends. In particular, we are interested in using these tools to make quantitative stylistic comparisons. As a first illustration, we analyze a selection of string quartets by Haydn, Mozart and Beethoven and discuss possible implications of our results in terms of different approaches by these composers to stylistic exploration and variety. We observe that Haydn is stylistically the most conservative, followed by Mozart, while Beethoven is the most innovative, expanding and modifying the string quartet as a musical form. Finally we also compare the variability of different genres, namely minuets, allegros, prestos and adagios, by a given composer and conclude that the minuet is the most stable form of the string quartet movements.

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Section: Ph Of Musical Workmentioning

confidence: 99%