In musical tuning and harmony, the Tonnetz 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.
Tonnetz aligned with the Wicki–Hayden note layout.
Tonnetz showing enclosed chords. Capitalized chords ('Xx') are major; others ('xx') are minor.
In musical tuning, a lattice "is a way of modeling the tuning relationships of a just intonation system. It is an array of points in a periodic multidimensional pattern. Each point on the lattice corresponds to a ratio. The lattice can be two-, three-, or n-dimensional, with each dimension corresponding to a different prime-number partial [pitch class]." When listed in a spreadsheet a lattice may be referred to as a tuning table.
A lattice showing Erv Wilson's Eikosany structure. This template can be used with any 6 ratios