What you are learning
An interactive musical visualization linking ratios, trajectories, pitch behavior, and realtime notation.
Animations
Harmonic Lissajous
An interactive musical visualization linking ratios, trajectories, pitch behavior, and realtime notation.
Harmonic Lissajous turns numerical ratios into animated musical geometry.
The oscillations on the X and Y axes generate a Lissajous figure whose shape reveals the relationship between two frequencies, two vibration rates, or two periodic behaviors.
This page lets you hear those ratios, see their persistence in the plane, follow the time evolution of both axes, and convert the event stream into realtime notation and MIDI export when the tuning context supports it.
It is a tool for understanding how harmonic ratio, motion, rhythm, tension, cadence, color, and notation can be read inside one visual musical system.
Guided start
Start with a clear learning action
Try first
Read the summary to locate the musical goal.
Next step
Related pages continue the same musical thread.
Chords and scalesHarmonic Lissajous
An interactive musical visualization linking ratios, trajectories, pitch behavior, and realtime notation.
How to use this page
- Read the summary to locate the musical goal.
- Try the suggested setting or example before changing the context.
- Use related links to continue toward theory, listening, or analysis.
Example
Example: start from a simple musical idea, hear it, compare its function, then open a related page for deeper work.
The page first names the useful musical action.
Controls help verify a precise sound idea.
Related pages continue the same musical thread.
Canvas
Loading…
X / Y
time
Score
Realtime bars
Score available in 12-TET only.
Controls
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Current harmonic source
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Select the tuning system and which intervals the animation is allowed to use.
Ratios shape the motion, density, and note emphasis of the animated figure.