Are they same, like, allophones? To me, they sound like same?
3 Answers
In most American accents, there is no separate /ɒ/ phoneme, as there is in British English. Due to the lot-cloth split (see Wiki), /ɒ/ has become /ɑ/ in some words and /ɔ/ in others. In speakers with the cot-caught merger, /ɑ/ and /ɔ/ have also merged.
Confusingly, as Wikipedia notes, the phoneme /ɔ/ is often pronounced as [ɒ], with /ɑ/ moving closer to [ä]. This shift makes more sense if you think in terms of formant frequencies (see these charts); essentially, the realizations of /ɑ/ and /ɔ/ have both moved in the same direction acoustically.
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For much of the U.S., if you can feel your tongue move backward but not down, so that your mouth is more closed, between saying 'a' with the meaning 'a single one' without emphasis and then starting to say 'on', then that is the difference. You may not hear it much, but many people can still feel it happening.
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I'm no specialist for phonetics which is a field of language studies which is rather complicated, but I think the difference of ɒ and ɔ is only a matter of lip rounding. In ɔ you have lip rounding and in ɒ you have none. But it may be that this is not correct.
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/ɑ, ɒ, ɔ/as distinct phonemes for which minimal pairs can be constructed, almost no native speakers in North America do so. In general, your phonemic/ɒ/merges into one or the other of/ɑ/or/ɔ/, but this varies from word to word and sometimes speaker to speaker. Increasingly many speakers, especially in the west of the continent, have further lost/ɔ/altogether, leaving only/ɑ/alone. This is but the barest of overview sketches: the actual situation is even more complex that I have outlined. – tchrist Apr 30 '14 at 23:12