The original edition of The Geometry of Musical Rhythm was the first book to provide a
systematic and accessible computational geometric analysis of the musical rhythms of the …

Origins of Algorithmic Thinking in Music. Page 82 Chapter 4 Origins of Algorithmic Thinking in
Music Nick Collins 4.1 Introduction [T] he phono-lecturer came to the main theme of the …

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 …

A set of vertices of a graph is said to be in general position if no three vertices from the set lie
on a common shortest path. Recently Klavžar, Rall and Yero generalized this notion by …

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 …

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 …

The undergraduate music curriculum has been the subject of ongoing discussion with
regards to technology, repertoire, pedagogy, and purpose. This article contributes to this …

A freshman music student is often taught by rote that each of the diatonic intervals (seconds
through sevenths) come in two flavors: seconds and thirds in major and minor, fourths in …

Austrian Solitaire is a variation of Bulgarian Solitaire. It may be described as a card game, a
method of asset inventory management, or a discrete dynamical system on integer …