Going from Amharic to Hungarian (Magyar) has a composite linguistic distance of 95% (heuristic estimate). Below is the dimension-by-dimension breakdown.
Shared vocabulary, cognates, and loanwords.
Morphology, syntax, word order, cases.
Shared sounds and phoneme inventory.
Ge'ez → Latin
Afro-Asiatic ↔ Uralic
The 5 languages with the lowest linguistic distance from Amharic:
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