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Title (eng)
The line of fifths and the co-evolution of tonal pitch-classes
Author
Martin Rohrmeier
Abstract (eng)
In this study, we determine the fundamental role of the line of fifths for the organization of tonal material by applying dimensionality reduction to a large historical corpus of pitch-class counts (ca. 1360–1940). We observe a historically growing trend in the exploitation of the fifths range, i.e. the size of segments that pitch-class distributions cover on the line of fifths. Moreover, we introduce the novel concept of pitch-class (co-)evolution, which traces the changing co-occurrence of pitch classes over time and likewise reaffirms the centrality of this linear tonal space from a historical angle, allowing us also to distinguish between historical periods in terms of the usage of pitch classes.
Keywords (eng)
line of fifthstonal-pitch classesdimensionality reductionpitch-class co-evolution
Type (eng)
Language
[eng]
Persistent identifier
https://phaidra.bruckneruni.at/o:3886
Is in series
Title (deu)
Journal of mathematics and music: Mathematical and computational approaches to music theory, analysis, composition and performance
Volume
17
Issue
2
ISSN
1745-9745
Issued
2023
From page
173
To page
197
Date issued
2022
Content
Details
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Object type
PDFDocument
Format
application/pdf
Created
17.04.2025 09:25:16
This object is in collection
Metadata
Anton Bruckner Privatuniversität | Alice-Harnoncourt-Platz 1 | 4040 Linz | Austria | T +43 732 701000