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Square Waves are the "Man"!
In "Magic Man" and "Lucky Man" the synth starts with a square wave. Many analog synth hit solos are square.
You should try it yourself. It should be trivial to recreate the apparatus today, compared to 40 years ago.
As I said farther above, I spent some time listening to massively mangled (from a phase perspective) square waves on a web site I don't remember any more and could not hear a difference. I don't feel an intense need to recreate that experience. Again, changing the amplitude of the harmonics of course changes the sound. It's part of what makes a piano sound different from a tuba.
I agree. Timbre is mostly defined by the harmonics that are present (including the fundamental) and their relative amplitudes. Relative phase is not important unless it's so great that it produces noticeable gaps.
A square wave is ideally an infinite number of related signals. When you mess with them relative to each other, you sure as shootin' can hear it in an A/B test as long as the system can reproduce enough of the component frequencies. How do I know this? One of my work study projects in school was building a Fourier series demonstration unit for the physics lectures, which allowed you to mix a 400 Hz fundamental + harmonics and vary the phase and amplitude of each harmonic separately, for the first 16 harmonics of the fundamental. The lectures got to see the changes on a display and hear them too. And hear them you could. Not just the differences between saws, triangles, and squares either.![]()
I agree. Timbre is mostly defined by the harmonics that are present (including the fundamental) and their relative amplitudes. Relative phase is not important unless it's so great that it produces noticeable gaps.
If the reproducing electronics, transducer(s) and your cochlea are all perfectly linear in response, this is true.
Square waves have a more hollow, reedy sound--clarinet-like, really--and we don't often hear them used in analog synths.

If you can shift the phase of say a 200Hz harmonic with respect to the 100Hz fundamental, add them together, you will (IME) pretty clearly hear the difference as the harmonic is shifted.
Whoa, whoa, whoa. Sorry but I have been using analog synths since 1985, and every bleeding one of them had a square wave, and many of the most famous analog synth sounds include it. Flutey/airy tones, bells/clangs, screamy leads, all routinely made with square waves (as well as other waves).
Yes, that is true, except that flute tones tend to start with triangle or sine waves.
The really classic, brassy-sounding analog synth sounds--"Just Enough for the City," "Lucky Man," "Frankenstein," "Suffragette City," et al--are sawtooth or pulse, with ample amounts of both even and odd harmonics. As a kid I noticed these sounds are so rich in harmonics that they just leaped out of even a cheap AM transistor radio with a 2" speaker.