Joshua Redman, with bassist Reuben Rogers and drummer Greg Hutchinson, featured players on Redman's recent Nonesuch release, Compass, play the Dakota Jazz club in Minneapolis tonight and tomorrow, before starting a European tour later this week. "Redman has made some fine albums in the past," says All About Jazz, "but he's never recorded one with such clarity of purpose as the self-produced Compass." And with its success, "there's the palpable sense that the Redman has opened himself up to all manner of possibilities for future musical endeavors, proceeding directly from the cathartic self-renewal that is Compass.

After giving John Adams's Doctor Atomic its UK premiere last Wednesday, English National Opera continues performances of the opera this week. "If a work forces you, simultaneously and uncomfortably, to clench your limbs and hold your breath," says The Observer, "you have to take notice." A highlight of "Adams's meditative, richly faceted score," the paper exclaims, is the aria set to John Donne's "Batter My Heart," for J. Robert Oppenheimer, "surely the finest aria written since Puccini."

John Adams's opera Doctor Atomic, which chronicles the hours leading to the detonation of the first atomic bomb, received its UK premiere this past Wednesday at English National Opera. The Independent gives it four stars, asserting that its central aria "might just be the single most beautiful thing Adams has ever written ... There is more, much more, where that came from." The Guardian and the Evening Standard also give the production four stars, as does The Times, which concludes: "Once again Adams has turned 20th-century history into absorbing, provocative music-theatre."

Dan Auerbach kicks off his two-week US tour with songs from his recently released solo debut, Keep It Hid, at Washington, DC's 9:30 Club Saturday night. The Washington Post says The Black Keys' "beyond-the-blues elements are explored much further on the terrific first solo album from the duo's singer-guitarist ... and the broader range reveals a major pop songwriter.” Metro UK gives the album four stars, stating: “Fans of his main concern will find plenty to enjoy; anyone else will simply hear an early contender for 2009's finest solo effort.”

Rokia Traoré's recent Nonesuch release, Tchamantché, receives an 8.4 from Pitchfork, asserting that her "sense of independence has imbued her music with a special quality that sets it apart from that of many of her erstwhile peers." The review cites the album's "gorgeous guitar tones and Traoré's quiet vocals. These twin strands of transnational DNA—guitar plus vocals—wend through all music, but here they're made more entrancing by Traoré's refusal to abandon her roots while at the same time working subtly but assiduously to build upon them."

The Best of Bill Frisell, Volume 1: Folk Songs, the first collection of tunes culled from Frisell's extensive Nonesuch catalog, is out this week. You can listen to every track from the album streaming on the Nonesuch Radio channel First Listen now. "Two words will sum up anything the exemplary guitarist has turned his hand to: 'very good,'" says the BBC. "But when it comes to his explorations in Americana as on this collection, it's very very good. If you don't already own most of these tracks, beware. Because when you do hear them you'll have to go out and buy all the parent albums that they're culled from."

Dan Auerbach's newly released solo record, Keep It Hid, debuted at No. 1 on Billboard's Top Heatseekers chart, a list of the week's best-performing albums from new artists. The Independent gives it four stars, citing the album's "broad sweep of blues styles" and Dan's vocals, channeling "the haunted quality of an authentic soul singer." The Cleveland Plain Dealer gives an A- to the new record, which sees Dan "cutting loose with a marvelous solo debut ... Crank it up."

Bill Frisell has crafted a Nonesuch catalog of more than 20 albums that DownBeat included among "the best recorded output" of the last decade. Now comes the first anthology of songs assembled from that rich catalog in The Best of Bill Frisell, Volume 1: Folk Songs, out this Tuesday. The Independent gives a perfect five stars to this album of "beautiful, ringing musicality: 15 pieces of fathomless depth played with the freshness and simplicity that only genius brings. Make your world anew and treat yourself." The Guardian gives the album four stars, calling it "a delectable collection." All About Jazz calls it "a thing of rare joy and beauty."

Elliott Carter's centennial celebration continues this Tuesday with the release of a four-disc retrospective of the composer's Nonesuch recordings. The Observer says that "with performances from the 1970s and 1980s by some of his best interpreters," this Carter collection is "covetable and historic." The Guardian gives the set four stars, saying this collection, with "a whole clutch of outstanding performances" that first expanded the composer's reach in the UK, "is a must for all Carter admirers."

John Adams's 1985 piece The Chairman Dances is this week's selection for The NPR Classical 50, a series naming 50 essential recordings for everyone from first-time listeners to fanatics. "The idea here is that a foxtrot is being danced, but there's more than just the dance-like quality of the music that we hear," says critic Ted Libbey. "I find it very rich that Adams can pull all of these elements all together, and that you can hear this wonderful, exuberant and lush melody come out of this texture. It shows his ability to bring disparate pieces together in a way that does say something."

Philip Glass and the Philip Glass Ensemble gave a marathon performance of the composer's seminal piece Music in Twelve Parts at San Francisco's Davies Symphony Hall Monday night. It was the West Coast premiere of the complete work, which had received its world premiere 35 years ago in New York. "I loved it," exclaims San Jose Mercury News critic Richard Scheinin. The piece, "with its youthful energy and imagination, is such a beguiling paradox. At first, it seems so narrow in sound, limited by its minimalist methods. But then, unfolding like time itself, it comes to contain so much. It opens up, grows vast."

Keep It Hid, Dan Auerbach's recently released solo debut, earns applause from the San Francicso Chronicle. The Black Keys' singer/guitarist "digs into some serious psychedelia and soulful blues on his solo debut," says the Chronicle. "Auerbach has made a deeply personal piece that goes into dusty corners never explored by the Keys in the band's fine five albums ... [He] is a master at creating surprising, shadowy textures with reverb and repeated riffs."