Going from Tamil to Korean (한국어) has a composite linguistic distance of 79% (heuristic estimate). Below is the dimension-by-dimension breakdown.
Shared vocabulary, cognates, and loanwords.
Morphology, syntax, word order, cases.
Shared sounds and phoneme inventory.
Tamil → Hangul
Dravidian ↔ Koreanic
The 5 languages with the lowest linguistic distance from Tamil:
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