On parallels between words and music

William Turner

On parallels between words and music

William Turner^* (Corresponding Author)

^*Corresponding author for this work

Mathematical Science

Research output: Contribution to journal › Article › peer-review

Abstract

A generalised song is a means of drawing parallels between words and music. The parallels are encoded in a mathematical structure, which is interpreted in a verbal structure and a musical structure. Here we develop a number of new techniques for drawing such parallels, in giving two examples of generalised songs, `Relation', and `Merge/Split'.
The first five partials of a note played on a piano are roughly 0,12,19,24,28 semitones above the fundamental.`Relation' is a generalised song, whose musical part is played on a piano, constructed from the mathematical relation 4.28 = 3.12 + 4.19.
`Merge/Split' is a generalised song whose mathematical part consists of the mathematical operations of merging and splitting, the braid relation, and coassociativity.

Original language	English
Pages (from-to)	208-228
Number of pages	23
Journal	Journal of Humanistic Mathematics
Volume	14
Issue number	1
Publication status	Published - 14 Jan 2024

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©2024 by the authors. This work is licensed under a Creative Commons Attribution 4.0 License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds https://creativecommons.org/licenses/by/4.0/ professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information.
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Cite this

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On parallels between words and music

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