Widely regarded as the most outstanding and influential jazz guitarist after Charlie Christian, he played with his thumb, instead of a pick, and he developed extraordinary facility, playing single-line hard bop solos that he could then double in octaves, and then "thicken" with three-note and four-note chords:

Wes Montgomery

Explanation:

Wes Montgomery, or The Thumb, was one of the most extraordinary single-line soloists in jazz history, which set him apart from his peers and led him to achieve the "legendary" status. To this day, he is still considered by many one of the most influential jazz guitarists.

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 !