Ok firstly,
Make double experience weekends only on random weekends here and there, this way people will still have the drive to gain levels even if it isn't a double Exp weekend and when it is it will be a bonus in which they can take experience of, also take into mind the skills arent extremely developed as of yet so it isn't hard to get to maximum level for the currently released skills (frequent double exp weekends would just make it even easier)
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Wait a month. Check the logs. Find the average amount of players on for that day. Pick the two days that commonly has the most amount of players.
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This is a good idea, as if it were only selected days this would create other issues such as; no one wanting to strain skills when it is normal experience.
Day differences mean that weekends would be weekdays for some people.