Abstract
Musicians often operate with a hierarchy of scale-like collections, each embedded within the next, and with transposition and inversion available at every level. A particularly common technique is to counteract a transformation at one level with an analogous transformation in the intrinsic scale consisting of a chord’s own notes.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 282-290 |
| Number of pages | 9 |
| Journal | Journal of Mathematics and Music |
| Volume | 17 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2023 |
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Music
- Computational Mathematics
- Applied Mathematics
Keywords
- contextual inversion
- hierarchy
- neo-Riemannian theory
- set theory
- twentieth-century theory
- voice leading