Harmony is the key concept of western music. It's what separates western music from other music from the world. So your teacher had best learn up.
Music theory for dummies is a good place to start.
For mandolin chords don julins mandolin for dummies.
I'm trying to remember a source I read recently which showed you on the fret board where the third, the fifth and the seventh were in relation to all the notes. (They are all in the same place across the fretboard). Learning these relationships is your foundations.
The tip above about the keyboard is a good one. Unlike the mandolin there is only one place a note
Can be.
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