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I'm also working on a gameboy inspired music app! (for Android, in Rust)

If you use a perfect square wave, the aliasing is extremely audible and sounds terrible.

As far as I can tell, in native everyone uses a nifty algorithm called bank-limited audio synthesis, and specifically blargg's implementation blip_buf.

https://slack.net/~ant/bl-synth/

If I were OP I'd try to compile the rust port of this library to WASM.

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That's sweet! I'm trying to see how far I can push the web audio api but yeah the aliasing can be harsh. I think there are also some things I can do with filter nodes to smooth things out a bit

The aliased harmonics are folded back and mixed with the true harmonic content of the square wave. You can't filter them out without significantly affecting the square wave sounds.

You can work in a much higher sample rate and then downsample

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