Exactly, what I'm trying to explain (although it's not easy as it's not very intuitive), is that we get more interesting sounds by clipping a signal's peaks to square because it is identical to _adding_ lots of different frequencies to the same sound in a way that their cancelling each other out would be represented as a square in digital audio, because of lack of detailed sampling at that level. The actual signal does not just flat stop at the square peak, the peaks get more signals in different frequencies added to them at playback, so they sound richer. You send a square to the speaker, the speaker isn't doing square, it pulsates in a sinusoidal fashion, nothing is fast or solid enough to produce flat square. Maybe you can find these harmonics in a factory with steel equipment, but they will still be pulsating at very high frequencies, which is why these "real" sounds are so much richer than a speaker.