How do I simulate an ultrasound?

Open this page and use the live Harmonic Series 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 an ultrasound from your own measurements.

Use case · powered by Harmonic Series

Harmonic Series for an ultrasound

Simulate an ultrasound live in your browser. This runs the real Harmonic Series 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

Harmonic SeriesLive

overtones & timbre

Controls

Presets

Fundamental f₀ (Hz)

Number of harmonics

Rolloff (brightness)

Every musical note is a stack of harmonics — integer multiples of the fundamental. Their relative strengths (the rolloff) define timbre: why a violin and a flute playing the same pitch sound different. The intervals between harmonics also spell out the octave, fifth, and major third that ground Western harmony.

▶ Run in Python

Data Inspector

Fundamental110 Hz

2nd harmonic220 Hz (octave)

3rd harmonic330 Hz (fifth)

Harmonics8

Governing equation

f_{n} = n f_{0} = n \times 110 Hz, n = 1 \dots 8

Reading this result: Stacking 8 harmonics on 110 Hz — each an integer multiple (220 Hz, 330 Hz, …). Their relative strengths (rolloff 1) define the timbre: how a violin and a flute at the same pitch differ.

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

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About this simulation

The full Harmonic Series tool models an ultrasound 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 Harmonic Series

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

Other ways to simulate an ultrasound

Beats for an ultrasound Equal Temperament for an ultrasound Chladni Plates for an ultrasound Helmholtz Resonator for an ultrasound Room Modes for an ultrasound Reverb Time (Sabine) for an ultrasound

Frequently asked questions

How do I simulate an ultrasound?: Open this page and use the live Harmonic Series 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 an ultrasound from your own measurements.