>>96816506It's post-punk in both its genre and its chronological placement. Goth is an offshoot of punk culture and music with a focus on dark melodies, macabre imagery, and a kind of melancholia that hadn't at that point been well celebrated in music.
>>96809515New Wave is interesting because it is also a kind of post-punk genre that is noticeably distinct from goth but clearly connected in spirit and history. New Wave exists as a kind of counter-culture to both punk and mainstream. The idea was that music would go back to its simple roots (like punk) but have a listenable pop charm. A lot of it is just sorta people who were punk at heart but weren't aggressive about it. And it was experimental and different, despite being so radio friendly. Think Elvis Costello, he's quintessential New Wave.
>>96809583I'd argue that goth ties about as well to new wave as it does to no wave. You listen to some of the, uh, I guess breakdowns(?) in, like, Bauhaus songs, and it's just as avant as Sonny Sharrock or Ornette Coleman. A number of bands that started out New Wave transitioned into goth, and they'd later transition into more of a nu romantic sound. The scene is ever changing, but in spirit and for what it's worth, goth is sort of the original emo-- a "boys can cry, too" approach on a harder, and almost exclusionary counterculture.