Final answer:
The majestic quality of Handel's Alla hornpipe is contributed to by the fanfare in the trumpets and the use of regal brass and timpani, which provide a grand and ceremonial feel to the music.
Step-by-step explanation:
The majestic quality of Handel's Alla hornpipe can be attributed to several musical elements. The fanfare in the trumpets often signals a royal or ceremonial event, which contributes to a regal atmosphere. Additionally, the use of regal brass and timpani throughout the piece, with their bold and resonating tones, also adds to the feeling of majesty and grandeur. While the sprightly opening theme of the Alla hornpipe introduces the piece with lightness and energy, it is particularly the grandeur of the trumpets and the richness of the brass and timpani that contribute most significantly to the majestic quality of the music.