P, L, and R are triangle flips
Parallel keeps the root and changes mode. Leading-tone and relative keep two common tones and move one voice to a neighboring pitch class.
Neo-Riemannian harmony
Walk through major and minor triads by flipping one voice at a time. The Tonnetz shows the harmonic space; the pitch circle shows the current chord; the voice ribbon shows which notes stay and which move; the trace explains each P, L, or R transformation under the active walk mode. For function-driven sequences (Markov chains over diatonic functions, cadence templates, phrase memory), see Chord progressions.
Neo-Riemannian theory treats smooth voice leading as the grammar. Distant-looking chords can be neighbors when only one note moves by a semitone or whole tone.
Tonnetz
The harmonic lattice unfolds across the screen; the cursor pans to keep your current triad centered. Pitch classes repeat at multiple lattice positions; those repetitions are the same chord on the toroidal view.
Pitch labels
Wheel order
Voice ribbon
Walk controls
Tonal gravity
PLR decision trace
No cycle detected
Voice leading
Chord details
Current
C
Function lens
off
Common tones
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Move cost
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What to notice
Distance is voice-leading cost
The voice ribbon shows which two voices held and which one moved. The cost strip plots total semitone motion over time. Neo-Riemannian walks usually stay near one or two semitones even when the chord symbols look remote.
Cycles create endless modulation
Alternating P/L enters a hexatonic cycle; alternating P/R enters an octatonic region. The cycle indicator lights up provisionally after four matching steps and confirms after six.
Function is optional
The function lens can name each triad relative to a tonic, but it is off by default because the main story here is parsimonious motion, not cadence pressure.