LOL. :D I don't know if I'd say that, but I'd probably just call on one of you guys to explain. ;) I know I don't grasp it as much as you guys do, but I do got the basic idea. I still won't call it an Augmented 6 chord, to me it's a major#6 chord. I'll explain more later.
Here's how it all works, as you explained chris.
In Am the iv-7 is : D, F, A, C
Inverted F, C, D, A
Now write out a A- in 2nd inversion using this voicing; E C E A,
An A minor is : A, C, E,(A),(E)
Inverted E, C, E, A
Layer them.
Dm7........F...C...D...A
interval...h...p...w...p
Am.........E...C...E...A
(inversion key: h -half step, w - whole step, p - perfect)
So what you want to do is change the whole step to a half step (chromatic). To do that you flatten the second E in the Am presented. Making it D#, then put it back to together with the Am along with adding a 6th (or borrow it from the Dm7):
Altered A minor (add6): A, C, D#, F.
Invert it again: F, A, C, D#.
Now you have a F augmented 6 chord as understood by the F, G, and I chordal views. Or in modern terms, "FM#6".
Enharmonic changing the D# to Eb makes it a F dominant 7 chord. With that said, you must look at the chord again, and serperate the spelling you came up with throughout the whole process and the one thats enharmonically altered. We have had this discussion before, just because a note can be changed enharmonically doesn't mean it can switch back and forth between correct names chord. There is a explaination of why, If you need it.
F, A, C, D# is NOT a F dominant 7 chord! It is is still a FM#6. The D from F is 6 notes, even you agreed. Augmented is used to discribe the "#6".
That's how I understand it. The augmented 6 chord is actually a major chord (triad) with a #6 extension. Since major is understood in most cases, and augmented is like saying a "#6". As you can see here:
F major chord: F, A, C
F German augmented 6 chord: F, A, C, D#
Today written as FM#6.
Since the "#6" is a rather odd extension and in most cases there is a "b7" instead, it is not as common as the "dominant 7 chord". They are closely related, but not the same. Sound and the way it is played on the guitar is the same but the function they have within a key is different. Again, understanding this saves alot of headaches when it comes to writting out chord progressions and then having to analyze them. Yeah, if you just getting ideas it's easier to write what is familiar to you, but analysis can be quite difficult with this error.
Ex. There is no Ebminor chord in the key B major. It would D#minor. Doesn't look confusing for this is a rather simply example but it can cause problems. Even more difficult is the misuse of naming chords, especially when inverted and then named something else. Like calling a inverted B diminished chord an F diminshed chord in the key of C major. There is no F diminished in the key of C major. If you are playing a F diminished in C, then it is a Bdiminished (second inversion). This is even more difficult if you plan out using modulation to get to another key. The problems will stem out quite a bit if not properly understood.
Today, saying augmented in place of #6 is invertingly saying the chord is made up of a Augmented triad with an extension 6. I'm guessing this is why this chord is not called an Augmented 6 today. Today those chords are completely different, even in correct chordal analysis are they different:
F german 6: F, A, C, D#
F aug. 6: F, A, C#, D
F dom. 7: F, A, C, Eb
Clearly these chords are NOT the same. If someone asked what a German 6 chord was, I would say it's a major chord with a #6. Putting augmented in there is just plain confusing. That might be it's theorotical name, but in todays music it is a major#6. It's construction is yes to chromatically voice the 2 chords together as you said above. It's function will work in the same way I pursume, As a chromatic passage. I believe the major#6 is more direct to the point, and it clearly doesn't discount the G aug. 6.
"My whole life is a dark room...ONE BIG DARK ROOM" - a.f.i.