I’ll add some basic info about chord inversions here too, because why not.
Inversions of chords basically means that you take the bottom note of a chord, and put it an octave above, or take the top note and move it down an octave. In a practical sense, this is useful if you want to make chord progressions easier to play on a real instrument, by reducing the distance your hands has to move to get to the next chord. The transitions then also generally sound smoother.
This is definitely also useful when creating melodies to go along with chord progressions, or in reverse, if you want to harmonize (write chords to) a melody you, or someone else, has already made. This is how a lot of jazz musicians re-harmonize melodies with new chords; you “look at” the melody, and then try to find alternative chords to it that includes the notes of that melody.
Here are the inversions for the first 4 triad chords in E natural minor / Aeolian.
EDIT:
I’ve just finished a short example tune.