This paper aims to propose a hierarchical, generative account of diatonic harmonic progressions and suggest a set of phrase-structure grammar rules. It argues that the structure of harmonic progressions exceeds the simplicity of the Markovian transition tables and proposes a set of rules to account for harmonic progressions with respect to key structure, functional and…
Journal of Mathematics and Music Template
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About the Journal of Mathematics and Music format
Journal of Mathematics and Music is a peer-reviewed journal published by Taylor & Francis, covering Music Technology and Sound Studies, Neuroscience and Music Perception, Musicology and Musical Analysis.
| Publisher | Taylor & Francis |
|---|---|
| Reference style | Numbered (Vancouver/NLM) Numbered — [1], [2] in the text 1. Smith A, Jones B, Lee C. A representative article title. Journal of Mathematics and Music. 2023;12(3):45–58.
Formats any DOI in Journal of Mathematics and Music style. No sign-up. |
| Publishes research in | Music Technology and Sound Studies Neuroscience and Music Perception Musicology and Musical Analysis Music and Audio Processing Mathematical Dynamics and Fractals |
| ISSN | 1745-9737 |
| Citation impact (2-yr) | 0.45 |
| h-index | 23 |
| i10-index | 75 |
| Total citations | 2,595 |
| Top institutions publishing here | University of Minnesota |
| Journal website | www.tandfonline.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Journal of Mathematics and Music per year
Citation impact of Journal of Mathematics and Music by publication year
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Most-cited papers in Journal of Mathematics and Music
Click to increase image sizeClick to decrease image size Notes The expression ‘extended common practice’, used by the author, is slightly but usefully misleading, since the technical sense refers to a musicological convention (roughly classical and romantic music), while the literal sense is all-inclusive but ill-defined. More scientific exposition of some of this material has…
Abstract This paper shows an interplay of music and mathematics which strongly differs from the usual scheme reducing mathematics to a toolbox of formal models for music. Using the topos of directed graphs as a common base category, we develop a comprising framework for mathematical music theory, which ramifies into an algebraic and a topological…
Abstract David Lewin originated an impressive number of new ideas in musical formalized analysis. This paper formally proves and expands one of the numerous innovative ideas published by Ian Quinn in his dissertation, to the import that Lewin might have invented the much later notion of Maximally Even Sets with but a small extension of…
Models of the perceived distance between pairs of pitch collections are a core component of broader models of music cognition. Numerous distance measures have been proposed, including voice-leading [1], psychoacoustic [2–4], and pitch and interval class distances [5]; but, so far, there has been no attempt to bind these different measures into a single mathematical…