In music, harmonization is the chordal accompaniment to a line or melody: "Using chords and melodies together, making harmony by stacking scale tones as triads".
A harmonized scale can be created by using each note of a musical scale as a root note for a chord and then by taking other tones within the scale building the rest of a chord.
For example, using an Ionian (major scale)
the root note would become the I major chord,
the second note the ii minor chord,
the third note the iii minor chord,
the fourth note the IV major chord,
the fifth note the V major chord (or even a dominant 7th),
the sixth note the vi minor chord,
the seventh note the vii diminished chord and
the octave would be a I major chord.
Using the minor (aeolian mode) one would have:
i minor,
ii diminished,
()III major,
iv minor,
v minor,
()VI major,
()VII major and
the i minor an octave higher.
Reharmonization is the technique of taking an existing melodic line and altering the harmony that accompanies it. Typically, a melody is reharmonized to provide musical interest or variety. Another common use of reharmonization is to introduce a new section in the music, such as a coda or bridge.
A melodic tone can often be harmonized in a variety of different ways. For example, an E might be harmonized with an E major chord (E – G - B). In this case, the melodic tone is acting as the root of the chord. That same E might be harmonized with a C major chord (C – E – G), making it the third of the chord. This concept extends to ninths (E would act as the 9th if harmonized with a Dm7 chord – D – F – A – C – E), fifths (E would act as 5 on an A augmented chord – A - C – E), and a wide array of other options.
Typically however, reharmonizations involve not just a single melody note, but a melodic line. As a result, there are often several melodic tones which might occur over a harmony, and all of these must be considered when reharmonizing.