Identification and Evolution of Musical Style I: Hierarchical Transition Networks and Their Modular Structure

Padilla, Pablo; Knights, Francis; Ruiz, Adrian T.; Tidhar, Dan

doi:10.1007/978-3-319-71827-9_20

Cited by 7 publications

(2 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Ph Of Musical Workmentioning

confidence: 99%

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

Mijangos¹,

Bravetti²,

Padilla³

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…There have been several proposals to measure and characterize the informational content of a musical segment. These approaches range from analyzing the motifs of the network associated with the transition between notes in a song [ 4 ], to the analysis of the underlying language in digital format [ 5 ]. Nevertheless, there is no clear definition to capture the complexity and informational content of a song.…”

Section: Introductionmentioning

confidence: 99%

Towards a Measure for Characterizing the Informational Content of Audio Signals and the Relation between Complexity and Auditory Encoding

Guerrero

Rivera-Dı́az-del-Castillo

Febres

et al. 2021

Entropy

View full text Add to dashboard Cite

The accurate description of a complex process should take into account not only the interacting elements involved but also the scale of the description. Therefore, there can not be a single measure for describing the associated complexity of a process nor a single metric applicable in all scenarios. This article introduces a framework based on multiscale entropy to characterize the complexity associated with the most identifiable characteristic of songs: the melody. We are particularly interested in measuring the complexity of popular songs and identifying levels of complexity that statistically explain the listeners’ preferences. We analyze the relationship between complexity and popularity using a database of popular songs and their relative position in a preferences ranking. There is a tendency toward a positive association between complexity and acceptance (success) of a song that is, however, not significant after adjusting for multiple testing.

show abstract

Pattern analysis based acoustic signal processing: a survey of the state-of-art

Chaki

2020

Int J Speech Technol

View full text Add to dashboard Cite

Identification and Evolution of Musical Style I: Hierarchical Transition Networks and Their Modular Structure

Cited by 7 publications

References 5 publications

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

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

Towards a Measure for Characterizing the Informational Content of Audio Signals and the Relation between Complexity and Auditory Encoding

Pattern analysis based acoustic signal processing: a survey of the state-of-art

Contact Info

Product

Resources

About