Home▸Acoustics▸Vibrating String Fourier Lab: Harmonic Spectrum, Gibbs Overshoot and Parseval Energy

🎻 Vibrating String Fourier Lab: Harmonic Spectrum, Gibbs Overshoot and Parseval Energy

Build a plucked or struck string from its harmonics: watch the partial sum converge, measure the Gibbs overshoot against its 8.95 % limit, check Parseval energy and the RMS error, and hear the tone synthesised from the same coefficients.

Acoustics2DModerate60 FPS📱 Mobile-adapted

⚙ Under the hood

Build a plucked or struck string from its harmonics: watch the partial sum converge, measure the Gibbs overshoot against its 8.95 percent limit, check Parseval energy and RMS error, and hear the tone synthesised from the same coefficients.

Fourier SeriesGibbs PhenomenonHarmonicsParsevalString Vibration

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install