Imagine a musical instrument that, when played, produces not just one note, but a whole set of related notes, enriching the sound. Each of these notes can be predicted mathematically, and if you were to graph them, you'd see their frequencies form a series of peaks at integer multiples of a base frequency. Musicians can use this concept to fine-tune instruments, ensuring they resonate beautifully. This principle also explains why certain notes sound harmonious together, adding depth and texture to both music and sounds in nature.