K-nets and Hierarchical Structural Recursion
Further Considerations
Bibliographic Data
| ID | 4390934 |
|---|---|
| Authors | Catherine Losada (University of Cincinnati College-Conservatory of Music, corresponding author) |
| Year | 2007 |
| Volume | 13 |
| Issue | 3 |
| Publication date | 2007-09-01 |
| 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.13.3.8 |
| OpenAlex | W2487214774 |
| Language | EN |
| Citations received | 2 |
| References cited | 18 |
By incorporating Lewin's Tj and Ij transformations, K-nets have been used to demonstrate recursion at different hierarchical levels. Michael Buchler has discussed some of the issues surrounding recursive networks with a special focus on the way they have been applied in analysis. The following discussion expands upon his argument, focusing particularly on objectionable features that are intrinsic to the analytical tool itself. It includes an evaluation of the significance of inversional relationships and inversional subscripts in the context of K-nets, with emphasis on the potentially problematic Ij transformations
Algorithm · Cognitive science · Epistemology · Physics · Advanced Algebra and Logic · Computability, Logic, AI Algorithms · Computer Science · History · Mathematics · Philosophy · Psychology · Topological and Geometric Data Analysis
| Citations per year | 0.11 |
|---|---|
| Citation span | 2007 - 2007 (1) |
| Highly cited | No |