I noticed that the reputation from the main site carried over to meta on Gaming (at least the first upvote), I guess that doesn't work the other way around, right?
Is it then impossible to have a meta reputation higher than the site reputation?
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Did you read the faq on the per-site meta? I highly recommend it.
Here's a link to the webapps meta faq.
Your reputation on meta is the same as your reputation on the parent site.
The meta reputation IS whatever the site reputation is.
But badges are earned separately on the meta site.