Negative chords are commonly known as “chords with alternate baselines” as in the A min3/E (E being the alternate bassline). However, this naming method applies to specific chords with note information already included. For every chord named in this manner the notes have to change, as in a B min3/F#.
The A min3/E and B min3/F# are actually both negative maj3’s (-maj3). Though this naming methodology is new to theory, it is absolutely necessary to name these chords in this negative manner so their name, chord formula, and sound can be easily associated with their regular counterpart and remembered. Scale formulas also mirror in this negative manner and will be seen later.