Klein-Bottle Tonnetze
Bibliographic Data
| ID | 4390879 |
|---|---|
| Authors | Robert W Peck (0000-0002-6226-1631, Louisiana State University, corresponding author) |
| Year | 2003 |
| Volume | 9 |
| Issue | 3 |
| Publication date | 2003-08-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Music Theory Online (JOURNAL) |
| Journal identifiers | ISSN: 1067-3040 • E-ISSN: 1067-3040 |
| Publisher | Society for Music Theory (PUBLISHER • US) |
| DOI | 10.30535/mto.9.3.1 |
| OpenAlex | W4392838131 |
| Language | EN |
| Citations received | 1 |
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 among entire Klein-bottle Tonnetze, and place them into recursive supernetworks
Archaeology · Art · Bottle · Geometry · Klein bottle · History · Mathematics · Physics and Engineering Research Articles
| Unique citing works | 1 |
|---|---|
| Citations per year | 0,06 |
| Citation span | 2009 - 2009 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 1 |