Abstract
This chapter deals with groups of symmetries, their action and orbits as musicological and mathematical concepts. Elementary local compositions—chords, self-addressed chords, and motives are classified under group actions. Enumeration theory of orbits of local compositions in finite -modules—including traditional pitch class sets and motives—is presented and discussed for its implications towards a “Big Science” in music. Follows a discussion of group-theoretical methods in composition and theory, including a review of the American tradition and recent developments.
| Original language | English (US) |
|---|---|
| Title of host publication | Computational Music Science |
| Publisher | Springer Nature |
| Pages | 167-223 |
| Number of pages | 57 |
| DOIs | |
| State | Published - 2017 |
Publication series
| Name | Computational Music Science |
|---|---|
| ISSN (Print) | 1868-0305 |
| ISSN (Electronic) | 1868-0313 |
Bibliographical note
Publisher Copyright:© 2017, Springer International Publishing AG, part of Springer Nature.