I am interested in seeing visits on my site broken down by hour - is there any way to generate a report of this in Google Analytics? It appears that all metrics are only broken down by day. Maybe I can get this information through the GA API?
Since Google Analytics was revised the currently accepted answer is no longer available. The current version of Google Analytics will let you view visitors per hour:
If you're trying to determine total traffic by hour of the day for a given date range then you can use this custom report:
https://www.google.com/analytics/web/permalink?type=custom_report&uid=pToP7693ReSxfSIpbqHmWg
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