Some consonants such as n,d,t are usually alveolar in English, except that they are replaced by dentals when they are before dental fricatives (th): tenth, said this, in the….
What about "r" before "th"?
- Arthur: BrE /ɑ:θəʳ/, AmE /ɑ:rθɚ/
- north: /nɔ:θ/, AmE /nɔ:rθ/ ; northern
My conjectures are:
- a or o are lowered in the mouth so that we have /ɑ/ or /ɔ/.
- the mouth becomes less tensed
- the r is very loose
- n in north becomes dental!