I agree with the others. Some more examples:
Mother rhymes with other, brother.
Mutter rhymes with butter.
In some dialects/accents they might be pronounced the same, but not usually.
2022年5月21日
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Mostly the consonants. Mother has the TH sound and Mutter the TT. The vowels are slightly different as well but quite similar.
2022年5月20日
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There’s a difference in pronunciation between them.
mother_ /'mʌðər/
mutter_ /ˈmʌtər/