A review of Godfried Toussaint's The Geometry of Musical Rhythm

F Gómez-Martín - Journal of Mathematics and Music, 2022 - Taylor & Francis
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Music in the pedagogy of mathematics

M Montiel, F Gómez - Journal of Mathematics and Music, 2014 - Taylor & Francis
The present article addresses the subject of music in the pedagogy of mathematics from the
perspective of two researchers in mathematical music theory (MMT) belonging to …

Maximal evenness in graphs

N Bushaw, B Cody, C Leffler - arXiv preprint arXiv:2407.18785, 2024 - arxiv.org
We define various notions of energy of a set of vertices in a graph, which generalize two of
the most widely studied graphical indices: the Wiener index and the Harary index. We prove …

Journal of Music Theory over the Years: Content Analysis of the Articles and Related Aspects

Y Goldenberg - Journal of Music Theory, 2006 - read.dukeupress.edu
Bibliometric tools and especially content analysis of all 393 articles published in Journal of
Music Theory (up to issue 48/1) help to investigate the development of the content of this …

Maximally even sets and configurations: common threads in mathematics, physics, and music

J Douthett, R Krantz - Journal of Combinatorial Optimization, 2007 - Springer
Convex (concave) interaction weighting functions are combined with circular configurations
of black and white sites to determine configurations that have minimum (maximum) weight …

Scalar context in musical models

R Plotkin, J Douthett - Journal of Mathematics and Music, 2013 - Taylor & Francis
In this paper, we examine relationships between signature transformations, Filtered Point-
Symmetry (FiPS), and voice-leading spaces, with a strong emphasis on the role of scalar …

Jack Douthett and mathematical music theory

J Yust - Journal of Mathematics and Music, 2022 - Taylor & Francis
Jack Douthett's work over three decades was central to defining an era in mathematical
theory. The present special issue attests to his abiding influence over the field, as well as the …

Partitions, their classes, and multicolour evenness

J Douthett, P Steinbach, R Peck… - Journal of Mathematics …, 2022 - Taylor & Francis
We extend the theory of maximally even sets to determine the evenness of partitions of the
chromatic universe U c. Interactions measure the average evenness of colour sets …

[PDF][PDF] Teaching modeling in algebra and geometry using musical rhythms: Teachers' perceptions on effectiveness

I Chahine, M Montiel - Journal of …, 2015 - journalofmathed.scholasticahq.com
The study was conducted within a summer institute program that trained 15 mathematics
teachers from two high need school districts in facilitating students' understanding of …

Two musical paths to the Farey series and devil's staircase

JHE Cartwright, J Douthett, DL González… - … of Mathematics and …, 2010 - Taylor & Francis
At the 2007 Helmholtz Workshop in Berlin, two seemingly disparate papers were presented.
One of these, by Julyan Cartwright, Diego González, and Oreste Piro, dealt with a nonlinear …