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How do you pronounce "thank"? I pronounce it [θeɪŋk] but I've heard [ðeɪŋk] and I'm wondering how common this is.

/m n ɳ ŋ/ <m n ń ŋ>
/p b t d ʈ ɖ k q/ <p b t d c g k q>
/ɸ f θ s ʂ x χ h/ <ph f th s ch kh qh h>
/w l ɻ j/ <w l r j>
/ʙ r/ <b' d'>

/i ɪ ʊ u/ <i î û u>
/e ẽ ɛ ə ɔ o õ/ <e ę ê y ô o ǫ>
/æ æ̃ ɑ/ <a ą â>

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This isn't exactly what you're describing, but the word "Ye" in "Ye Olde" fits into this general category.