How do I simulate a stadium PA?

Open this page and use the live Additive Synthesis tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a stadium PA from your own measurements.

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Additive Synthesis for a stadium PA

Simulate a stadium PA live in your browser. This runs the real Additive Synthesis solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Additive SynthesisLive

building tone from sine waves

Controls

Presets

Harmonics

Any periodic waveform is a sum of sine harmonics — the basis of additive synthesis. A sawtooth needs every harmonic falling as 1/k; a square only odd harmonics; a triangle odd harmonics falling as 1/k². Add more harmonics to sharpen the shape, and watch the Gibbs overshoot ripple at the edges.

▶ Run in Python

Data Inspector

Waveformsawtooth

Harmonics8

Contentall

Governing equation

x (t) = k = 1 \sum 8 a_{k} sin (2 π k f t), a_{k} = \frac{1}{k}

Reading this result: The sawtooth needs every harmonic falling as 1/k; 8 of them sharpen the ramp but leave a Gibbs ripple at the jump.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Additive Synthesis tool models a stadium PA with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Additive Synthesis

Additive Synthesis for a guitar string Additive Synthesis for a concert hall Additive Synthesis for a speaker Additive Synthesis for a drum head Additive Synthesis for a sound wave Additive Synthesis for a piano note Additive Synthesis for a noise barrier Additive Synthesis for a whisper gallery

Other ways to simulate a stadium PA

Beats for a stadium PA Harmonic Series for a stadium PA Equal Temperament for a stadium PA Chladni Plates for a stadium PA Helmholtz Resonator for a stadium PA Room Modes for a stadium PA

Frequently asked questions

How do I simulate a stadium PA?: Open this page and use the live Additive Synthesis tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a stadium PA from your own measurements.