Typical (classic) angina chest pain consists of (1) Substernal chest pain or discomfort that is (2) Provoked by exertion or emotional stress and (3) relieved by rest or nitroglycerine (or both).
Atypical (probable) angina chest pain applies when 2 out of 3 criteria of classic angina are present.
Non-specific chest pain: If ≤ 1 of the criteria of classic angina is present, symptoms are classified as non-specific.
Typical chest pain is also called definite angina, classic angina, or typical angina.
Atypical chest pain is also called atypical/probable angina.
Non-specific chest pain is also called non-ischemic chest discomfort.
Reference
https://www.ncbi.nlm.nih.gov/pubmed/20494662