Real-life Fourier series

Those are sinusoids...

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I would describe this as an example of a acoustic coupling between the tube's eigenmodes and sound excitation. Where the standing wave response has high flame amplitude are resonating with the trumpet's notes.

If math were taught like this there would be so many more smart people in the world!

Wow, neat!

But how? And why?

How people trade

This is the only way Trumpets should be played going forward