Okay I think I know what you're going for here.
What you want to do is on your columns shelf change that Date to be Weekday(TimeStamp). (You can access this by clicking the pill and going to the first "More" menu and selecting weekday.)
This will make the date scale be Each day of the week. That's step 1
Next you'll want to drag Timestamp onto the detail shelf (And possibly color too to give it a bit more distnctness).
This time you want to either one of the Week Number options for the Date of Timestamp. Then each line displayed will be a week found in your datasource. Below is an example image.
Hope this helps!