The two lacking capitals are …
… Muscat, the capital of Oman and Doha, the capital of Qatar.
The patterns …
… consist both of eight colons and semi-colons or of eight upside-down semi-colons. There are usually not many patterns. They boil right down to solely six, sketched under. (I’ve used 9 and 6 right here for the traditional and upside-sown semicolons and a dot for the colon. That makes the patterns clearer.)
4 occasions (. . . . 9 . . .) 5 occasions (. . . 9 . . . .) 6 occasions (. . 9 . . 9 . .) 6 occasions (. 9 . . . . 9 .) 4 occasions (9 . . . . . . 9) 4 occasions (6 6 6 6 6 6 6 6)
Now if we …
… manage the capitals by these patterns and likewise lookup their international locations, we get:
Astana (. . . . 9 . . .) Kazakhstan New Delhi (. . . . 9 . . .) India Niamey (. . . . 9 . . .) Niger Athens (. . . . 9 . . .) Greece ? (. . . 9 . . . .) Montevideo (. . . 9 . . . .) Uruguay Quito (. . . 9 . . . .) Ecuador San Salvador (. . . 9 . . . .) El Salvador Belfast (. . . 9 . . . .) Northern Ireland Brussels (. . 9 . . 9 . .) Belgium Dublin (. . 9 . . 9 . .) Ireland Khartoum (. . 9 . . 9 . .) Sudan Budapest (. . 9 . . 9 . .) Hungary ? (. . 9 . . 9 . .) Warsaw (. . 9 . . 9 . .) Poland Bishkek (. 9 . . . . 9 .) Kyrgyzstan Windhoek (. 9 . . . . 9 .) Namibia Jakarta (. 9 . . . . 9 .) Indinesia Tbilisi (. 9 . . . . 9 .) Georgia Tegucigalpa (. 9 . . . . 9 .) Honduras Port of Spain (. 9 . . . . 9 .) Trinidad & Tobago Bucharest (9 . . . . . . 9) Romania ? (9 . . . . . . 9) ? (9 . . . . . . 9) Nairobi (9 . . . . . . 9) Kenia Lisbon (6 6 6 6 6 6 6 6) Portugal Buenos Aires (6 6 6 6 6 6 6 6) Argentina Cardiff (6 6 6 6 6 6 6 6) Wales Oslo (6 6 6 6 6 6 6 6) Norway
We see …
… that the patterns are the beginning positions or recordsdata of the six chess items. The pawns (6) are on the second row or rank; the opposite items (9) are on the primary row. (That’s additionally what the title suggests: Capitals became items.)
The international locations’ first letters spell the names of the items, pawn, rook, knight, bishop, queen and king. Clearly, we’re lacking a Q for queen and and O for rook and bishop.
There is just one nation that begins with O, Oman, and just one nation that begins with Q, Qatar. The capitals of those two international locations, Muscat and Doha, should fill the areas.