A trio of tough-to-classify rock bands — A Perfect Circle, Primus and Puscifer — will hit the road together for a tour that brings them to St. Paul’s Xcel Energy Center on June 1.

Tickets for the outing, dubbed Sessanta, will go on sale at 10 a.m. Friday through Ticketmaster. Neither the promoter nor the venue announced ticket prices.

Both A Perfect Circle and Puscifer are led by Tool frontman Maynard James Keenan, who organized the first Sessanta tour earlier this year to tie in with his 60th birthday.

“The Sessanta run was by far the most fun and delicious extended birthday party I’ve ever had thanks to all of the attendees and the master musicianship of Primus, Puscifer and A Perfect Circle. No comparison,” Keenan said in a news release. “Decided we need to share this with people who missed the first round in places we couldn’t get to. Strap in.”

Keenan formed A Perfect Circle in 1999 with guitarist Billy Howerdel while on break from Tool. The band was most active in the early ’00s, when the group released a trio of albums, two platinum and one gold. Their 2003 single “Weak and Powerless” topped the alt-rock radio charts. The band’s other hits include “Judith,” “The Outsider” and “Passive.”

Puscifer, meanwhile, serves as Keenan’s “creative subconscious” and has featured a series of musicians in the lineup since the band’s inception in 2003. The current version includes Carina Round (vocals, guitar, percussion, keyboards) and Mat Mitchell (guitar, bass, keyboards, synthesizers).

Primus formed in 1984 and its most famous lineup of bassist/vocalist Les Claypool, guitarist Larry “Ler” LaLonde and drummer Tim “Herb” Alexander released their major label debut, “Sailing the Seas of Cheese,” in 1991. It went platinum as did its follow-up “Pork Soda.” During that era, Primus scored a few minor alt-rock radio hits, including “Jerry Was a Race Car Driver,” “My Name Is Mud” and “Wynona’s Big Brown Beaver.”

During the tour, each group performs a set of their own, while musicians from each sit in with other bands throughout the evening. A number of other guests performed on the first Sessanta tour, including Keenan’s Tool bandmates along with Troy Van Leeuwen, James Iha, Sean Lennon and Paz Lenchantin.

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