Category Archives: paper

## Preprint: group theory and chords

A while ago I wrote a paper called A Group-theoretical Classification of Three-tone and Four-tone Harmonic Chords (arXiv link). The main contribution is an analysis of four-tone harmonic chords in music theory. These are: major-major, minor-major, augmented-major, major-minor, diminished-minor, minor-minor, and diminished-diminished. X-Y in this scheme means X is the basic triad (so major, minor, […]

## Paper Announcement: The Polypermutation Group of an Associative Ring

I've submitted paper! The results stem from a pretty simple question that can be understood with an first course in abstract algebra. This post will explain the question and give a teaser of some of the results. Download "The Polypermutation Group of an Associative Ring" Let $R$ be a ring. A polynomial $f\in R[x]$ induces […]