https://phaidra.bruckneruni.at/o:3886 The line of fifths and the co-evolution of tonal pitch-classes Moss, Fabian C. Fabian C. Moss 0000-0001-9377-2066 Neuwirth, Markus Markus Neuwirth 0000-0003-1990-052X Rohrmeier, Martin Martin Rohrmeier journal article 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. line of fifths tonal-pitch classes dimensionality reduction pitch-class co-evolution http://creativecommons.org/licenses/by-nc-nd/4.0/ https://phaidra.bruckneruni.at/api/object/o:3886/download 10.1080/17459737.2022.2044927 https://phaidra.bruckneruni.at/o:3871 application/pdf Journal of mathematics and music: Mathematical and computational approaches to music theory, analysis, composition and performance issn:1745-9745 Journal of mathematics and music: Mathematical and computational approaches to music theory, analysis, composition and performance 17 2 173 197 4.61 MB 2022