Newperiod=emaformulaModifier * Period
TC = 2 / (NewPeriod + 1)
EMA = Lasttime + TC * (Drive - Lasttime)
Uhh...
Period / NewPeriod = ?
Drive = ?
LastTime = ?
TC = ?

Ok. I get that Period is a duration of time between two marks. But that looks like a count of Times or durations.

I'm not real smart, I need universally generic words.

Maybe then, I can understand this:
Assume the original period was 26 ( as per Cperry requirements)
The newperiod= 0.2* 26= 5.2
So the TC = 2/(6.2) = 0.322
When we get 50 tiks persec the modifier would be: 200/20=10
The newperiod= 10* 26= 260
equation would give a TC= 0.0076