Tag Archives: Mathematics

Novelty and influence in classical piano music

 

While innovation is crucial for novel and influential achievements, quantifying these qualities in creative works remains a challenge. An information-theoretic framework for computing the novelty and influence of creative works based on their generation probabilities reflects the degree of uniqueness of their elements in comparison with other works.

Applying this formalism to a high-quality, large-scale data set of classical piano compositions–works of significant scientific and intellectual value–spanning several centuries of musical history, represented as symbolic progressions of chords, a study found that the enterprise’s developmental history can be characterized as a dynamic process composed of the emergence of dominant, paradigmatic creative styles that define distinct historical periods. These findings can offer a new understanding of the evolution of creative enterprises based on principled measures of novelty and influence.

This according to “Novelty and influence of creative works, and quantifying patterns of advances based on probabilistic references networks” by Doheum Park, Juhan Nam, and Juyong Park (EPJ data science IX/2 [2020]).

Many thanks to Marc Abrahams of Improbable Research for bringing this to our attention!

Above, two illustrations from the article (click to enlarge); below, Chopin’s prelude in A Major, op. 28, no.7, which provides the basis for the second illustration.

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MusMat: Brazilian journal of music and mathematics

In 2016 the Universidade Federal do Rio de Janeiro launched MusMat: Brazilian journal of music and mathematics, which brings together articles, interviews, and news on the interactions between music and mathematics in applications in analysis and composition. The journal is peer-reviewed and open-access.

Below, a work by Rodolfo Coelho de Souza, who discusses his compositional methods in the inaugural issue.

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Filed under 20th- and 21st-century music, Analysis, New periodicals, Science