The best way to limit an audio signal is possibly pre emphasis (increasing treble, low cut), then clipping, and then (decreasing treble, high cut).
When a clipped signal is high cut, the flat part will be rounded as harmonics are reduced. Pre emphasis ensures a flat frequency response..
This is what is done on vinyl records, tape recording, radio broadcasting processing as taught by Orban.
References::
How guitar distorting amplifiers work, high cutting with a large cone speaker.
Mike Oldfield's interview explaining how he creates his guitar sound.
US Patent 3,703,028 by Markevich, Reduction of Harmonic Distortion
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