Touch Tonnetz vs SetClass

Touch Tonnetz visualizes Neo-Riemannian music theory through the Tonnetz (tonal network) lattice. Tap any chord or note to hear it, see its Neo-Riemannian transformations, and explore harmonic relationships that go beyond traditional tonal progressions. Key Features: Interactive Tonnetz Visualization — Tap any chord or note to hear it and see its Neo-Riemannian transformations highlighted on the lattice Harmonic Analysis — Roman numeral overlays for any tonic, updated in real time Progression Builder — Create, save, and play back melodic progressions Custom Chords — Build and save your own chords for experimentation Three Instrument Sets — Piano, Brass, and Woodwinds, all high-quality samples Six Color Schemes — Three dark, three light Pinch to Zoom — Explore the lattice in detail at up to 4× magnification 7-Day Free Trial — Full access, no restrictions, no nags Perfect For: Composers looking for harmonic paths outside conventional progressions Music theorists studying Neo-Riemannian transformations Musicians experimenting with chord voice-leading Students exploring music theory hands-on What is Neo-Riemannian Theory? Neo-Riemannian theory is a branch of music theory that studies relationships between major and minor triads using transformational geometry. Rather than treating chords as functions within a key (tonic, dominant, etc.), it focuses on the small voice-leading moves — Parallel, Leading-tone exchange, and Relative — that connect one triad to the next. The result is a rich map of chromatic harmony that complements traditional tonal analysis. Why Touch Tonnetz? The Tonnetz lattice makes these relationships spatial: related chords are neighbors, and transformations are visible paths. Touch Tonnetz lets you see the lattice, hear it, and build with it — turning an abstract theoretical framework into something you can explore by ear and by hand.

Explore the building blocks of modern harmony. This app lets you see, hear and manipulate pitch class sets, the foundation of post-tonal and atonal music theory. EXPLORE • Tap notes on the pitch wheel to build any chord or scale. • See the Forte number, prime form, normal form and interval vector. • Check transpositional and inversional symmetry. • Open the K/Kh complex of any set to see which set classes include it or its complement. FIND • Tap notes on a keyboard, or type a Forte number (3-11, 6-Z44) or pitch-class numbers (0 4 7). • Browse all 224 Forte set classes, with Z-relations, filtered by size. TRANSFORM • Transpose, invert and multiply (M5, M7) any set. • Morph smoothly from one set to another. CREATE • Generate sets by cardinality, symmetry and density. • Arrange sets into rhythmic sequences using P, T, I, R and RI operations, with every inversion level. • Build a serial matrix from rows of 2 to 12 notes. • See each set as geometry in tonal space, with symmetry axes. • Export to MIDI and MusicXML. LEARN • A built-in theory guide. • Analysis examples from Debussy, Schoenberg, Stravinsky, Berg, Messiaen and more, with links to scores. Built for students, composers and theorists, from first-time learners to advanced analysis.