Examples of harmonics span diverse physical, acoustic, and electrical domains. In musical acoustics, plucking a guitar string produces a fundamental tone accompanied by higher overtones that define its unique sonic quality. In electrical engineering, power distribution systems experience 60 Hertz fundamental currents accompanied by unwanted 180 Hertz third harmonics and 300 Hertz fifth harmonics generated by computer power supplies. In radio frequency communications, broadcast transmitters intentionally or unintentionally generate harmonic frequencies that are integer multiples of the carrier wave. Additionally, mechanical systems like rotating turbine shafts can experience structural vibration harmonics caused by rotational imbalances.