Indeed. Below is a FT of me playing a low D# on my bass flute. The fundamental is around 155 Hz, as expected. The next 3 harmonics are as strong, or even stronger, than the fundamental. If this were the output of an amp given a 155 Hz pure tone, it would have > 100% distortion. But it's not distortion. That combination of frequencies is what gives it that fat, rich timbre. The better the player's embouchure and tone quality, the stronger these harmonics will be producing an even richer tone.
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