Compute reaction time required?

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Say I have two options:

  1. I get a notification every 1/64 of a second.
  2. I get a notification every 1/128 of a second.

The difference in milliseconds between notifications for the options can be computed as $1000/64 - 1000/128 = 7.8125$. This result might not be very related, but here is my question:

How can I compute the reaction time(measured in milliseconds) required to notice a difference between the two options?