alright hoez, here some nct how anthems lol: Whiplash, Baby don't like it, 119, Summer 127, Love Talk, Baby Don't Stop, Make A Wish, Nectar, The 7th Sense, Lips, Mad City, Good Thing, Another World, Drippin', Touch, Cherry Bomb, Highway to Heaven, Bad Alive, Blow My Mind, and After Midnight. there's probably more but I'm too lazy and bored AND tired lol take this as song recommendations lol

i'm not sure i completely understand your question, but i will do my best.

i think the answer you are looking for is sequence. (see below)

a repeated melodic fragment would be best defined as repetition, while repeated chords (different or the same) could be a chord progression. however, you then mentioned the chord and melodic fragment beginning on higher or lower pitches, in that case, the answer could be best defined as a sequence. the definition of a sequence is as follows: "the restatement of a motif or longer melodic (or harmonic) passage at a higher or lower pitch in the same voice."

let me know if this !