10:00 AM to 4:00 PM EST
10:00 PM to 3:00 AM EST
Occasionally there is a weekend stream, follow @MoonMoon_ow or click the giant twitter bird to get latest info from MoonMoon.
There is a sub discord that can be joined by linking your Twitch account that is subbed to MoonMoon with your discord account.
You can download Discord here.
For a guide on how to sync Twitch with Discord go here and scroll down to the "For Viewers" section.