Going from Kazakh to Uyghur (ئۇيغۇرچە) has a composite linguistic distance of 58% (heuristic estimate). Below is the dimension-by-dimension breakdown.
Shared vocabulary, cognates, and loanwords.
Morphology, syntax, word order, cases.
Shared sounds and phoneme inventory.
Cyrillic/Latin → Arabic
Turkic ↔ Turkic
The 5 languages with the lowest linguistic distance from Kazakh:
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