This book is not about harmonics, analysis or synthesis of sound. It deals with harmonic
analysis but in the abstract realm of musical structures: scales, chords, rhythms, etc. It was …

Full article: A review of Godfried Toussaint's The Geometry of Musical Rhythm Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

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 …

Scales are a fundamental concept of musical practice around the world. They commonly
exhibit symmetry properties that are formally studied using cyclic groups in the field of …

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 …

Public health involves improving the health of a community (as opposed to an individual) by
preventive measures, control and treatment of communicable diseases, health education …

The statement by Bradley Lehman that the scribble at the beginning of the first page of the
WTC shows how JS Bach tuned his harpsichord is much disputed. The use of a …

The normalized pairwise variability index (nPVI) is a measure of the average variation of a
set of distances (durations) that are obtained from successive ordered pairs of events. It was …

This paper reconsiders scale-theoretical ideas from the standpoint of voice leading. I begin
by showing that Clough and Douthett's definition of 'maximal evenness' makes covert …