Keane are an English rock band from Battle, East Sussex, formed in 1995. The band currently comprises Tom Chaplin (lead vocals, electric/acoustic guitar), Tim Rice-Oxley (piano, synthesisers, bass guitar, backing vocals), Richard Hughes (drums, percussion, backing vocals), and Jesse Quin (bass guitar, acoustic/electric guitar, backing vocals). Their original line-up included founder and guitarist Dominic Scott, who left in 2001. Keane achieved mainstream, international success with the release of their debut album, Hopes and Fears, in 2004.

In a March 2007 video interview, Chaplin and Hughes spoke of wanting to take a more "organic" approach on album three, but played down suggestions about the use of guitars, referring to them as "a fun part of the live set" at present; however, the cover of "She Sells Sanctuary", became the first song recorded since "The Happy Soldier" (2001) to feature the instrument. Photographic updates to the Keane website also implied the use of guitars in the album's recording sessions. Jesse Quin joined the band since this album as permanent studio and live member. He plays the bass, percussion, guitar, synths and backing vocals. On 25 August 2008, Keane appeared as studio guests on BBC 6 Music with Steve Lamacq where three of the new songs from Perfect Symmetry were played for the first time: "Spiralling", "The Lovers Are Losing", and "Better Than This".  The album was released on 13, October 2008, and reached number one on the UK Albums Chart on 19 October. It also reached number 7 on the Billboard 200 chart. In December 2008, it was voted Best Album of the Year by the readers, listeners and visitors of Q Magazine, Q Radio and Qthemusic.com. The song "Perfect Symmetry" was voted best track.  In November of the same year, they started their third world tour, the Perfect Symmetry World Tour. On 2 April 2009, Keane became the first band ever to broadcast a live show in 3D. It was filmed at Abbey Road, the site of the world's first satellite broadcast (by The Beatles). Keane fans were prompted to buy 3D glasses along with the new 7" single, "Better Than This", or also to hand-make their own glasses. The show is available to watch on Keane's official site in high definition.

Answer the following question by taking a quote from the article: What major cities did they visit during the tour?