Herman, for reference I got the following response,
You can't find any linear relationship between bars in different intervals - as any data-holes will distort that. For purely theoretical example - if you have a symbol that has one quote every 5 minutes - then you will see the same number of bars in tick, 1-minute or 5-minute interval. This is because due to their timestamps - those quotes will belong to separate 5-min bars and separate 1-min bars, so time-compression does not reduce the number of bars in such case.
