%0 Journal Article %1 Moss2022_LineFifthsCoevolution %A Moss, Fabian C. %A Neuwirth, Markus %A Rohrmeier, Martin %D 2022 %J Journal of Mathematics and Music %K classes co-evolution,tonal-pitch dimensionality fifths,pitch-class of reduction,Line %N 0 %P 1--25 %R 10.1080/17459737.2022.2044927 %T The Line of Fifths and the Co-Evolution of Tonal Pitch-Classes %U https://doi.org/10.1080/17459737.2022.2044927 %V 0 %X 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. 13601940). 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.

@article{Moss2022_LineFifthsCoevolution, abstract = {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\textendash 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.}, added-at = {2022-12-01T10:40:20.000+0100}, author = {Moss, Fabian C. and Neuwirth, Markus and Rohrmeier, Martin}, author+an = {1=me}, biburl = {https://www.bibsonomy.org/bibtex/2849a106c3895c80901e1ff21f244c679/fabian-moss}, copyright = {All rights reserved}, doi = {10.1080/17459737.2022.2044927}, file = {/home/fmoss/Zotero/storage/PNN2T73Z/Moss et al. - 2022 - The line of fifths and the co-evolution of tonal p.pdf;/home/fmoss/Zotero/storage/ET79BU43/17459737.2022.html}, interhash = {442a745c9d65e31a8d2e858148fdd3ba}, intrahash = {849a106c3895c80901e1ff21f244c679}, issn = {1745-9737}, journal = {Journal of Mathematics and Music}, keywords = {classes co-evolution,tonal-pitch dimensionality fifths,pitch-class of reduction,Line}, month = mar, number = 0, pages = {1--25}, timestamp = {2022-12-05T09:33:45.000+0100}, title = {The Line of Fifths and the Co-Evolution of Tonal Pitch-Classes}, url = {https://doi.org/10.1080/17459737.2022.2044927}, urldate = {2022-03-18}, volume = 0, year = 2022 }