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Skim this first. Tonnetz grids are usually oriented with the unraveled circle / chain of fifths on a horizontal axis, but I’ve found it more intuitive with vertically aligned fifths instead (this site has an interactive chart rotated this way).

In a continuous space with unspecified pitch classes, only simple (<1 octave) harmonic relationships can be shown. Voicings are, imo, equally as important as harmonic color, but this compromise is necessary in order for the chord shapes and relations to be obvious. A tonnetz chart could have pitch distinction or even a discontinuous chain of fifths with both signs (A# -> E# instead of F, eventually double signs) but this limitation isn't helpful for instruments that have fixed voicings, such as steel guitar.

Anyways, the purpose of this page is to actually apply the tonnetz