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Preprint . 2023
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The Mathematical Intelligencer
Article . 2024 . Peer-reviewed
License: Springer Nature TDM
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https://dx.doi.org/10.48550/ar...
Article . 2023
License: CC BY NC ND
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Modulation Graphs in Popular Music

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 25 Jan 2024Embargo end date: 01 Jan 2023Publisher:Springer Science and Business Media LLCJournal:The Mathematical Intelligencer, volume 46, pages 332-339 (issn: 0343-6993, eissn: 1866-7414, Copyright policy )Funded by:NSERC | unidentified
Authors: Brown, Jason I.; George, Ian;

doi: 10.1007/s00283-023-10325-y , 10.48550/arxiv.2306.13691

arXiv: http://arxiv.org/abs/2306.13691

Modulation Graphs in Popular Music

Abstract

In this paper, graph theory is used to explore the musical notion of tonal modulation, in theory and application. We define (pivot) modulation graphs based on the common scales used in popular music. Properties and parameters of these graphs are discussed. We also investigate modulation graphs for the canon of Lennon-McCartney songs in the works of The Beatles. Our approach may provide composers with mathematical insights into pivot modulation.

17 pages, 6 figures, 6 tables

Related Organizations
Keywords

FOS: Computer and information sciences, Sound (cs.SD), 05C90, Computer Science - Sound

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green