Why It's Impossible to Tune a Piano

The video tutorial explains the concept of string vibrations and harmonics, detailing how strings vibrate in fixed patterns and produce different pitches. It discusses the use of harmonics in tuning string instruments and the challenges faced when tuning pianos using harmonic methods. The video introduces equal tempered tuning, a modern solution that allows instruments to play in any key, albeit slightly out of tune, by using the 12th root of 2 to determine frequencies.

Describe the difference between equal tempered tuning and harmonic tuning.

What is the significance of the 12th root of 2 in piano tuning?