Why do not you hear beats when different keys on the piano are played at the same time?

When different keys are played simultaneously on a piano, they produce distinct frequencies. If these frequencies are close but not identical, they can create a phenomenon called "beats," which are fluctuations in volume heard when two sound waves interfere. However, when the notes are sufficiently apart in pitch, the resulting sound waves do not interfere in a way that produces noticeable beats, leading to a harmonious blend instead. Thus, the lack of audible beats when playing widely spaced notes is due to the differences in their frequencies not aligning closely enough to create this interference effect.