I have no formal training in music theory, so my question might be phrased a bit clumsily.
There is a kind of jazzy chord progression I enjoy very much, the one which, from the top of my head, I think is in the refrain of Frankie Valli's "Can't get my Eyes off you". (Correct me of I'm wrong). It's like a ii-V-I, but starting further up.
If played in C, I start out with an Fmaj7 major chord, and move just move down the circle of fifths, in a easy fingered pattern that I have a feeling a lot of you will know what I'm talking about.
After I reach Cmaj7, I lead back to the first chord in the progression with an A7 chord. (If anyone can tell me a formal name for this kind of chord progression, it would be much appreciated)
These are the 8 chords exactly:
FACE FABD EGBD EGAC DFAC DFGB CEGB AC#EG
So, except for wondering if this progression is a common thing that has a name, I'm wondering about the second chord here, FABD. What exactly is this chord? It seems to be a diminished chord with one of its notes raised a semitone (G# to A). Am I even supposed to play this chord like this? (I mean, I think it sounds good, but have I just trained my ear to like it?) Is this type of progression usually played with a regular dim chord at this position?
I hope I have stated my inquiry clearly, and I appreciate any information anyone might have to help me!