If I understood what you are talking about, I think you are making more a big deal of it then it really is. I personally have never heard of such classifications nor formulas and I don't believe they exist.
As I see it, reinterpretation is a natural part of music and it probably happens more than we can even notice. Our brain tends to make assumptions about everything that we see or hear, based on patterns and previous experience, and this assumptions are often wrong and constantly changing.
For example, let's say you begin a song with the C chord. By playing this alone it sounds like a tonic, right? If then you play D7, you realize C was a subdominant, and the tonic is probably G (witch you hope is coming next). But if instead you play D#º, now you see C was VIb, D was VIIb, and Em will probably be the tonic. I could go on forever with this example and by each new chord you would reinterpret every previous chord.
As an exercise, you could take any song you like and pause it on every chord. Think over it, think what it sounds like, think what you hope is coming next. I bet you will find yourself reinterpreting things several times.