Thanks, yes this is complicated because the key signatures always seem to relate to the natural minor. This makes it tricky sometimes to say a song is "in a minor key" if the harmony switches to the relative major, or starts major and ends relative minor, etc. But ultimately this makes sense re: key signatures and correlates with my (admittedly limited) experience reading notation.From notation perspective, A Aeolian = A minor = A natural minor (= C major) ; all the same notes.
the "real minor key" , if there is any , would probably be the one that the key signature indicates, which would be Amin ( C maj.)
Even if the song has an E7 ( using a G#) , the key signature is usually still A min (C maj) and the #7 is almost always indicated as an accidental .
to answer your first post, i would consider Am Dm Em either A minor,
or -since in some genres ,A minor is assumed to be a Harmonic minor, I might specify A Natural Minor
All this thinking can be useful for learning, or composition, but If you're trying to communicate to other musicians, simply communicating the specific chords is sufficient.
Yes, I am a fan of the letting the actual chords do the speaking when it's the nitty gritty of getting people playing together.
But I have been finding myself wondering more and more about various minor key resolution scenarios, just in a theoretical sense. I have found: minor tonics with both IV and V minor, both major, or just the V minor, or just the IV minor! I feel like they are all diatonic in some key/mode, just not all necessarily a major mode. So I have been trying to shed in the harmonic minor and melodic minor and explore these ideas of relationships explained in a more classical sense: dominant, sub-dominant, etc.