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On features of fugue subjects. A comparison of JS Bach and later composers

Rydén, Jesper (2020). On features of fugue subjects. A comparison of JS Bach and later composers. Journal of Mathematics and Music. 14 , 1-20
[Journal article]

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Abstract

The musical form fugue has inspired many composers, in particular writing for the organ. By quantifying a fugue subject, comparisons can be made on a statistical basis between J.S. Bach and composers from later epochs, a priori dividing works into three categories. The quantification is made by studying the following features: length, expressed in number of notes written; range (in semitones); number of pitch classes; initial interval (in semitones); number of unique intervals between successive notes; maximum interval between successive notes (in semitones). A data set of subjects from various composers was constructed. An analysis of principal components (PCA) makes possible an interpretation of the variability as well as a visualisation of all cases. Regression models for counts are introduced to investigate differences between composers, taking into account dependence on covariates. Concerning the range of the subject, a statistically significant difference was found between Bach and other composers. Furthermore, regarding the number of unique notes employed, a statistically significant difference was found between all composer categories.

Authors/Creators:Rydén, Jesper
Title:On features of fugue subjects. A comparison of JS Bach and later composers
Year of publishing :2020
Volume:14
Page range:1-20
Number of Pages:20
ISSN:1745-9737
Language:English
Publication Type:Journal article
Article category:Scientific peer reviewed
Version:Published version
Copyright:Creative Commons: Attribution-Noncommercial-No Derivative Works 4.0
Full Text Status:Public
Subjects:(A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10106 Probability Theory and Statistics
(A) Swedish standard research categories 2011 > 6 Humanities > 604 Arts > Music
Keywords:principal components, generalised linear model, Poisson regression, fugue subject, range, pitch class
URN:NBN:urn:nbn:se:slu:epsilon-p-100670
Permanent URL:
http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-p-100670
Additional ID:
Type of IDID
DOI10.1080/17459737.2019.1610193
Web of Science (WoS)000470571800001
ID Code:17791
Faculty:NJ - Fakulteten för naturresurser och jordbruksvetenskap
Department:(NL, NJ) > Dept. of Energy and Technology
Deposited By: SLUpub Connector
Deposited On:13 Oct 2020 10:45
Metadata Last Modified:13 Oct 2020 10:51

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