Sound is vibration, and music is organized vibration. Behind every chord, every melody, every instrument timbre lies a mathematical structure of frequencies, harmonics, and interference patterns. The octave is a 2:1 frequency ratio. A major chord is 4:5:6. The dissonance of a tritone arises from its irrational frequency ratio.
These simulations explore the physics of sound and music. Visualize how different waveforms produce different timbres, understand the harmonic series that defines every instrument, explore the mathematics of musical intervals and tuning systems, and see resonance amplify vibrations to dramatic effect.