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Old 4th July 2007
As Dave says it's not DC offset, it's just an asymmetric waveform.

This is not that unusual a thing to come across with low frequency non-harmonic sources. Although you do also see it quite a bit with brass instruments (as someone else already pointed out) for reasons that I don't quite fully understand. Somebody once used the phrase 'air saturation' when trying to explain it to me. I'm not sure they fully understood it either.