Time type A is the smallest moment of time, or at least the four essential characteristics of a moment of time but which can be used in analysing larger discrete "chunks" of time.
Time type B is moments of time in series. An extremely intuitive concept. After all, we live with it. I got up, then I ate breakfast, then I put on my shoes, then I went out to the car, and so on and so forth.
Every person experiences sequenced events. This is "personal experiental time".
You can extend this concept to matter. Every atom and every conglomeration of atoms can be viewed as experiencing sequenced events.
And you can extend this concept to groups of people - "group experiential time".
The relative sequence of events is where things start to get very interesting.
Why do two xyz atoms vibrate at the same frequency? How do you even define the word "frequency" without reference to time? God - who created us and created the physical realm - has set in place such laws as necessary to govern the interplay between our individual personal choices and the actions caused by the laws of physics.
And so there is uniformity between how one person experiences the passage of time, and how another person does, because the same laws govern humans and the material that forms the world around us.
In this context, we count various things - such as the number of times the earth rotates relative to the sun - the which we call "days". Due to the uniformity of the laws God has set in place, people on opposite side of the earth have the same experience of "days" (ignoring variations in daylight vs dark hours, and curious effects deep in the polar regions). And because of this commonality of experience, we can all count together the days and the years, and voila - we now have time as most people think of it, the day which we give a name based on whatever calendar we prefer, and the hour and minute which are tracked by mechnical (and here I include electronic) devices.
So there is nothing special about "time" as in "it's the 21st of February 2008". It only seems confusing because we often start there in our quest to understand "time". In reality, co-experiential time is conceptually several steps along the path. Start with Time Type A, extend to personal experiential time, then group experiential time, and then we can see how the naming and numbering of days and years fits in the picture.
Tell It Like It Is