Synonyms for Mutter (same or very similar meaning)
WordNet sense 1 (a low continuous indistinct sound; often accompanied by movement of the lips without the production of articulate speech):
murmur, murmuring, mussitation, muttering, murmuration
WordNet sense 2 (a complaint uttered in a low and indistinct tone):
grumble, grumbling
WordNet sense 3 (talk indistinctly; usually in a low voice):
maunder, mumble, mussitate
WordNet sense 4 (make complaining remarks or noises under one's breath):
croak, gnarl
From the ODE community, based on WordNet
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