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These require the basic shape of the chord to be modified so that it has slightly different intervals between each note. Once this is done, the shape can be played anywhere on the fretboard, as above.
Minor chords (commonly notated as C-, Cm, Cmi or Cmin) are the same as major chords except that they have a minor third instead of a major third. This is a difference of one semitone.
CAGED Minor: The Five Basic Minor Chord Shapes In Open Position