According to Consequence of Sound, it appears that the Foo Fighters are recording their new album in multiple studios. As the article notes, the band has yet to officially confirm the information, but Reddit points to a Facebook post that reports of new songs recorded by the Foo Fighters at Washington D.C.'s Inner Ear Studios, Chicago's Electrical Audio Studios with Steve Albini and Los Angeles' 606 Studios with Butch Vig.
The article also points to photographic evidence posted to Twitter of Grohl with DC musician Pete Stahl outside Inner Eat Studio's as well as a photo of Grohl on riding a Chicago subway last month.
CoS connects these incidents with a tweet by Twitter fan account FooArchive. Last month, the user posted a scan of a section from Billboard's "Over Heard" rumors column, which said that "an insider" told the magazine that Grohl was "scouting iconic studios in 12 cities to record the next Foo Fighters album" and that Los Angeles, Chicago, New York and Seattle were "definites."
So all in all, it appears that the rumors are true. Could this be the "recording in a way that no-one's ever done before" that Grohl had teased before? We'll have to wait and see.
