“MUSIC CLASS In this task, you will research more about the history of the composition you picked and the composer. a. Give a brief biography of the composer. Include information about when the piece was written, the conductor's thoughts, and possible
quotes from the conductor.
b. Whom was it written for, and under what circumstance? Was the composition inspired or influenced by any earlier composition?

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 !