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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …