Remembering from my electronics classes, asymmetrical clipping relates audibly to a softer clip. It's less harsh - more harmonic. Theoretically, it just happens at the peak of the wave form - not the whole thing.
If you draw a picture of a waveform and its harmonics, you can pretty much see how the wave form will clip. Tube amps are known for soft clipping. Solid state amps make the rounded waveform more rectangular and less harmonic.
...the tubescreamer mixes distorted sounds with clean signal.
Ahh ok.. thanksassymetrical clipping as applied to pedals means that you are clipping the + and - side of the waveform at different levels.
Not really, it clips the whole signal just like the Boss ods.