For Researchers · Equal Temperament
Equal Temperament for a concert hall
Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a concert hall live below — adjust the inputs and watch it respond, right in your browser.
Equal Temperament vs Just IntonationLive
the compromise of tuning
Controls
Presets
Just intonation tunes intervals to pure whole-number frequency ratios, which sound perfectly consonant but only in one key. Equal temperament divides the octave into 12 identical steps so every key works, at the cost of every interval except the octave being slightly out of tune. The bars show that compromise in cents.
Data Inspector
Equal-temp fifth392.0 Hz
Just fifth (3:2)392.4 Hz
Fifth error−2 cents
Major 3rd error+14 cents
Governing equation
Reading this result: The equal-tempered fifth sits at 392.0 Hz versus the pure 3:2 fifth at 392.4 Hz — only about 2 cents flat, which the ear forgives; the major third, however, runs a far more audible 14 cents sharp, the price of making every key playable.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
More with Equal Temperament
Frequently asked questions
- Is this good for researchers?
- Yes — this version of "Equal Temperament for a concert hall" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.