Robert W Peck
Biographic Data
| ID | 1645220 |
|---|---|
| NAME | Robert W Peck |
| GIVEN NAMES | Robert W |
| FAMILY NAME | Peck |
| SIGNATURE | PECK R W |
| AFFILIATIONS | Louisiana State University |
| ORCID | 0000-0002-6226-1631 |
| VERIFIED | No |
| TOTAL WORKS | 2 |
| TOTAL CITATIONS | 1 |
| AUTHOR COUNT | 2 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 2003 |
| LATEST PUBLICATION YEAR | 2011 |
| H-INDEX | 1 |
A GAP Tutorial for Transformational Music Theory
GAP (an acronym for Groups, Algorithms, and Programming) is a system of computational discrete algebra that may function as an application for experimentation in transformational music theory. In particular, it offers tools to music theorists that are not readily available elsewhere. This tutorial will show how GAP may be used to generate algebraic group structures well known to music theorists. Furthermore, it will investigate how these structur…
Klein-Bottle Tonnetze
Departing from the toroidal Tonnetz of neo-Riemannian theory, we construct a generalized Klein-bottle Tonnetz.Further, we examine associated transformational graphs and analytical contexts, using operators from the cyclic T group, the dihedral T/I group, and a generalized quaternion T/M subgroup.In the T/I example, corresponding regions within a Tonnetz are related by various Klumpenhouwer network isographies.Finally, we consider relationships am…
Klein-Bottle Tonnetze
Departing from the toroidal Tonnetz of neo-Riemannian theory, we construct a generalized Klein-bottle Tonnetz.Further, we examine associated transformational graphs and analytical contexts, using operators from the cyclic T group, the dihedral T/I group, and a generalized quaternion T/M subgroup.In the T/I example, corresponding regions within a Tonnetz are related by various Klumpenhouwer network isographies.Finally, we consider relationships am…
Klein-Bottle Tonnetze
Departing from the toroidal Tonnetz of neo-Riemannian theory, we construct a generalized Klein-bottle Tonnetz.Further, we examine associated transformational graphs and analytical contexts, using operators from the cyclic T group, the dihedral T/I group, and a generalized quaternion T/M subgroup.In the T/I example, corresponding regions within a Tonnetz are related by various Klumpenhouwer network isographies.Finally, we consider relationships am…
A GAP Tutorial for Transformational Music Theory
GAP (an acronym for Groups, Algorithms, and Programming) is a system of computational discrete algebra that may function as an application for experimentation in transformational music theory. In particular, it offers tools to music theorists that are not readily available elsewhere. This tutorial will show how GAP may be used to generate algebraic group structures well known to music theorists. Furthermore, it will investigate how these structur…
Art (2 works) · Mathematics (2 works) · Algebra over a field (1 works) · Archaeology (1 works) · Bottle (1 works) · Computer Science (1 works) · Geometry (1 works) · History (1 works) · Klein bottle (1 works) · Music Technology and Sound Studies (1 works)