Final answer:
To harmonize a melody, the student should first identify the key and scale, then notate the Roman numerals of the chords. Harmony notes should be chosen by writing intervals of a third above the melody notes, always adhering to the diatonic scale and chords of the piece.
Step-by-step explanation:
The student's project involves harmonizing a melody using the principles of Western music theory. First, they need to identify the scale and the key signature of the piece, which will guide them in the harmonization process. Once the scale is determined, they can write the corresponding Roman numerals for each chord, following the degree of the scale that the chord is built upon (e.g. I for tonic, V for dominant, etc.). To harmonize the melody, the student will write intervals of a third above each note of the melody. This third should be diatonic, meaning it comes from the same scale as the melody note.
To accomplish harmonization properly, one must ensure that the harmony notes match with the given chords for each measure. Writing out the notes of these chords (e.g., CEG for a C major chord) helps to visualize which notes can be used for harmonization while staying within the harmonic context. When a melody note is paired with its harmony, the result should be consonant within the structure of the music, promoting the overall musicality of the piece.