UPDATE - 1/18@8:11PM: I'm now also hearing that Rush will be playing at the Riverbend Amphitheater in Cincinnati on July 2nd.
Last month Rush confirmed that they planned to extend the North American Clockwork Angels tour into 2013 via this message that was posted to Rush.com:
... Clockwork Angels 2013 in Europe is on sale now. And just because we had such a good time, we are now making plans for more dates in the spring and summer of 2013 in North America - so stay tuned for more announcements. Looking forward to seeing you out on the road again soon!
Earlier in the week I speculated that the official tour announcement should be coming soon given that the tour will presumably begin in April. We'd also begun to hear some chatter on classic rock radio about tour dates this past weekend, which is also a good sign that official information is coming soon. Since then I've received some updated information along with a few more rumored tour stops so I thought I'd post another update. The latest I've been hearing is that we can expect the announcement later next week or early the week after. Over this past weekend NJ classic rock station 105.5 WDHA announced on the air that there will be a Rush show at Radio City Music Hall later this year in addition to other NYC-area shows but didn't give any specific dates. And Chicago's WLUP made a similar on-air announcement earlier this week regarding an upcoming Chicago-area Rush show which I have since heard will take place on June 28th at the First Midwest Bank Amphitheatre in Tinley Park. I've also heard from reliable sources that Rush will be making a return to the Milwaukee Summerfest for a show around the 4th of July; they will be playing a show at the Trump Taj Mahal in Atlantic City on May 11th; and they'll hit the BB&T Center (formerly the BankAtlantic Center) in Ft. Lauderdale on April 26th. Remember that these are just rumored dates; nothing is official yet. I'll be sure to post any further information as I learn it.
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[Official Rush 2012 Clockwork Angels tour announcement and dates!]