Back from the future: One amazing song about New York is "The Apple Stretching" -- it's about the city of New York coming awake in the morning -- all the sights and sounds as the city stretches and yawns awake. (1982 - Grace Jones). The song is about people who are so familiar with their city that they skip the "Big" and just call their city "The Apple". https://www.youtube.com/watch?v=PDhSlFhX-98
I note that when I was young (in the 1950s), New York was always the state, and the city was New York City. It changed over the years. Now New York is the city (in ordinary conversation), and the state is New York State. Sometimes a part of the state is designated, such as upstate New York.
In the bay area of California, San Francisco is referred to as "the city." When you say you are going to "the City", people know. The population of San Jose has surpassed the City, but that makes no difference. I like that Esperanto has given New York City it's own unique name. San Francisco should be "la Urbo".
Ha, mi ne scias. Tio estas enigmo. Mi demandis la forumon de Lernu.net.