thumb|right|500px|A modern rendering of the Tonnetz. The A minor Triad (music)|triad is in dark blue, and the C major triad is in dark red. Interpreted as a torus, the Tonnetz has 12 nodes (pitches) and 24 triangles (triads).
thumb|right|500px|A modern rendering of the Tonnetz. The A minor Triad (music)|triad is in dark blue, and the C major triad is in dark red. Interpreted as a torus, the Tonnetz has 12 nodes (pitches) and 24 triangles (triads).
In musical tuning and harmony, the '''''' (German for 'tone net') is a conceptual lattice diagram representing tonal space first described by Leonhard Euler in 1739. Various visual representations of the Tonnetz can be used to show traditional harmonic relationships in European classical music.
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).