Trichord Tonnetz Generator

Build a generalized Tonnetz from any of the 12 trichordal set classes

Enter a trichord

Generate

Comma-separated, space-separated, or unseparated hex digits (0–9, A=10, B=11). Any 3 distinct pitch classes.

Set class

Transpose / invert

Transpose

− T0 +

Inversion Invert

  Reset to entered chord

Diagram controls

Connection mode

Common tone Voice leading

View

Triangular lattice Node–link graph

Depth

− 2 +

Tonnetz

− 100% + Fit Scroll inside the box to pan

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▶ Legend & how this works

Common-tone edge — the two chords share exactly 2 pitch classes (classic Tonnetz gluing)

Voice-leading edge — the minimal possible total motion between chords of this set class, computed across every pair in the orbit

Your entered chord (center of the diagram)

Note

True edge-glued triangular tiling (triangles sharing a side) only reflects the common-tone relation — that's what makes the classic major/minor Tonnetz work. Under voice-leading mode, each chord is drawn as a small triangle glyph placed in a ring layout and connected by lines, since voice-leading neighbors don't always share a physical edge.

Set-class identification uses the 12 trichordal set classes (Forte 3-1 through 3-12), matched by transposition and inversion.