In Bury Me by Bayside at about 3:09 (the line that starts with "I want your respect..."), they use a strange dissonant-sounding harmony: time stamped youtube link.
It sounds to me like he's using 3 different vocal tracks to create the harmony, but my ear isn't near good enough to pick out the individual melodies. This harmony is unlike anything I'd heard before, so I'm very curious about what they're doing there. Is there a formal name for this type of harmony? And how would I reproduce this with an arbitrary lead melody?
Disclaimer: I have some knowledge of music theory, but it has definitely been awhile.