gen-explain-resonance-and-harmonics-as-you-would-to-a-capable-st-1010

Explain resonance and harmonics as you would to a capable student, in 3-4 sentences.

# Resonance and Harmonics **Resonance** occurs when you drive a system at its natural frequency—the rate it "wants" to vibrate—causing the amplitude to build up dramatically, like pushing a swing at just the right moments to make it go higher and higher. **Harmonics** are the specific frequencies at which standing waves can form in a system, determined by its physical properties (like a string's length). The fundamental frequency is the lowest harmonic, and higher harmonics occur at integer multiples of this frequency (2f, 3f, 4f, etc.), which is why a guitar string produces not just one pure tone but a rich sound with multiple frequency components. When you excite a system at one of its harmonic frequencies, you create resonance at that particular harmonic, which is why musical instruments sound loudest and clearest at these special frequencies.