The line of fifths and the co-evolution of tonal pitch-classes doi:10.1080/17459737.2022.2044927 http://creativecommons.org/licenses/by-nc-nd/4.0/ Text journal article application/pdf eng 2022 line of fifths tonal-pitch classes dimensionality reduction pitch-class co-evolution 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. Text Wissenschaftlicher Artikel Testo Articolo di rivista Journal of mathematics and music: Mathematical and computational approaches to music theory, analysis, composition and performance Fabian C. Moss Markus Neuwirth Martin Rohrmeier https://phaidra.bruckneruni.at/o:3886