Definition of Tonnetz. Meaning of Tonnetz. Synonyms of Tonnetz

- In musical tuning and harmony, the Tonnetz (German for 'tone net') is a conceptual lattice diagram representing tonal space first described by Leonhard...
- modeled with several interrelated geometric structures. The Riemannian Tonnetz ("tonal grid," shown on the right) is a planar array of pitches along three...
- Vogel's Tonnetz is a graphical and mathematical representation of the scale range of just intonation, introduced by German music theorist Martin Vogel [de]...
- using two-dimensional (or higher-dimensional) lattices, under the name of Tonnetz. In these models, one dimension typically corresponds to acoustically pure...
- The Tonnetz is an example of a torus in music theory. The Tonnetz is only truly a torus if enharmonic equivalence is ****umed, so that the (F♯-A♯) segment...
- Bridges of Königsberg (see above). The device drew renewed interest as the Tonnetz in Neo-Riemannian theory (see also Lattice (music)). Euler further used...
- Tonnetz for Pythagorean tuning (above) and schismatic temperament (below)...
- Leonhard Euler's Tonnetz, with the horizontal axis showing the perfect fifths and the vertical axis the perfect major thirds. In the Tonnetz, the diatonic...
- ordinary differential equation with constant coefficients. Euler invents the tonnetz (German for "tone-network"), a conceptual lattice diagram that shows a...
- shapes from a larger lattice). Examples of musical lattices include the Tonnetz of Euler (1739) and Hugo Riemann and the tuning systems of composer-theorists...