Textual Multidimensionality in Music and Literature as the Problem of Mereology

Author

Yudkin-Ripun Ihor

a Doctor of Art Studies, a corresponding member of the National Academy of Arts of Ukraine, a chief research fellow at the Screen, Stage Arts and Culturology Department of M. Rylskyi Institute of Art Studies, Folkloristics and Ethnology of the National Academy of Sciences of Ukraine (Kyiv, Ukraine).

ORCID ID: https://orcid.org/0000-0002-4616-302X

Textual Multidimensionality in Music and Literature as the Problem of Mereology

Abstract

The problem of transitioning from linear ordering (in speech or monophonic melody) to multidimensionality is gaining relevance in the context of interpretative practice. This transition is facilitated through the mechanism of parcellation. The aim of this study is to demonstrate that overcoming linearity necessarily involves eliminating infiniteness and imposing constraints on the resulting space. When a line is segmented into finite and closed intervals, it reveals the potential for generating new dimensions. The symmetry inherent in finite space becomes a driving force in the formation of new dimensional axes. Compression of material, as a foundational condition for multidimensional development, leads to the emergence of feedback between textual lines (analogous to voices in musical counterpoint), which becomes concentrated along diagonals. It is precisely the presence of diagonal structures in a prose text that makes it possible to attribute polyphonic qualities to it. These findings underscore the productivity of mereology – the study of part – whole relationships – in explaining the properties of spatial dimensions, which arise as a result of the constraints imposed by multidimensionality.

Keywords

feedback, symmetry, projection, diagonal, compression, inversion, segment, relationship, complementarity.

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Conflict of Interest

The authors declare no conflicts of interest.

Use of Artificial Intelligence

No artificial intelligence tools or materials were used in the manuscript.