Having completed a supporting run with Coldplay, Fiona Apple will embark on a summer headlining tour, beginning June 20 in Phoenix. Damien Rice will join Apple for most shows, while David Garza will open throughout the entire outing.

Apple will be out in support of her 2005 Capitol album "Extraordinary Machine," which debuted at a career-best No. 7 on The Billboard 200 and has sold 462,000 copies in the United States, according to Nielsen SoundScan.

Before the official start of the tour, Apple will play two shows next month in Florida and another in Myrtle Beach, S.C. Also part of the itinerary is a July 26 show as part of New York's Summerstage series in Central Park.

Here are Fiona Apple's tour dates:

May 6: W. Palm Beach, Fla. (SunFest)
May 7: Lake Buena Vista, Fla. (House of Blues)
May 9: Myrtle Beach, S.C. (House of Blues)
June 20: Phoenix (Dodge)
June 21: Temecula, Calif. (Pechanga Resort)
June 23: San Diego (SDSU Open Air Theatre; w/ Damien Rice)
June 24: Los Angeles (Greek Theatre; w/ Damien Rice)
June 25: Santa Barbara, Calif. (County Bowl; w/ Damien Rice)
June 27: Saratoga, Calif. (Mountain Winery; w/ Damien Rice)
June 29: Concord, Calif. (Chronicle Pavilion; w/ Damien Rice)
June 30: Saratoga, Calif. (Mountain Winery)
July 1: Bend, Ore. (Lee Schwab Amphitheatre; w/ Damien Rice)
July 3: Seattle (Chateau Ste. Michelle; w/ Damien Rice)
July 5: Denver (City Lights Pavilion; w/ Damien Rice)
July 7: Dallas (Nokia Theatre; w/ Damien Rice)
July 8: Austin, Texas (Backyard; w/ Damien Rice)
July 9: Woodlands, Texas (Mitchell Pavilion)
July 12: Noblesville, Ind. (Verizon Wireless Music Center; w/ Damien Rice)
July 13: Chicago (Charter One Pavilion; w/ Damien Rice)
July 14: Minneapolis (Northrop Auditorium; w/ Damien Rice)
July 21: Boston (Bank of America Pavilion; w/ Damien Rice)
July 22: Wantagh, N.Y. (Jones Beach; w/ Damien Rice)
July 24: Uncasville, Conn. (Mohegan Sun; w/ Damien Rice)
July 26: New York (Central Park Summerstage; w/ Damien Rice)
July 28: Camden, N.J. (Tweeter Center; w/ Damien Rice)
July 29: Atlantic City, N.J. (Borgata; w/ Damien Rice)
July 31: Vienna, Va. (Wolf Trap; w/ Damien Rice)
Aug. 1: Virginia Beach, Va. (Verizon Wireless Amphitheatre)
Aug. 2: Atlanta (Chastain Park)
Aug. 4: Tampa, Fla. (Ford Amphitheatre)
Aug. 5: Charlotte, N.C. (Verizon Wireless Amphitheatre)
Aug. 6: Cary, N.C. (Koka Booth Amphitheatre)
Aug. 8: Pittsburgh (Chevrolet Amphitheatre)
Aug. 9: Clarkston, Mich. (DTE Energy Music Center)
Aug. 10: Cleveland (Plain Dealer Pavilion)