In the title track, Jay Z admitted in his lyrics that he "often womanises", more than a year after R&B star Beyoncé first shed light on his infidelities in her album Lemonade.
Jay Z pens a remorseful ode to his fractured marriage in 4:44, rapping that it "took for my child to be born, see through a woman's eyes" in reference to the couple's daughter Blue Ivy. He also mentioned their twins, who were reported to have been born this month but whose arrival has yet to be officially confirmed, saying it "took for these natural twins to believe in miracles, took me too long for this song, I don't deserve you."
Jay Z added, "What good is a ménage a trois when you have a soul mate? You risked that for Blue? My heart breaks for the day I had to explain my mistakes."
Obama welcomes Jay Z into Songwriters Hall of Fame
Fans were left stunned last year when Beyoncé made accusations in Lemonade that Jay Z had cheated on her, a rare crack in the seemingly perfect facade of one of music's highest-profile couples.
In her song Sorry, Beyoncé referred to a mystery woman, calling her "Becky with the good hair," which is echoed in Jay Z's track Family Feud, a duet with Beyoncé in which he raps, "Let me alone, Becky".
4:44 was released exclusively on premium music streaming platform Tidal, founded by Jay Z, in partnership with US wireless carrier Sprint Corp, which purchased a 33% stake in Tidal this year and made the album available via a six-month Tidal subscription to Sprint mobile customers.
It can also be heard throughout Friday across 160 US radio stations on iHeartRadio, the digital music service for a network of traditional radio stations.
The 35-minute album features Blue Ivy on the track Legacy, in which the five-year-old asks "Daddy, what's a will?" as the rapper expresses hope that his children use their wealth to promote "black excellence."
In Moonlight, Jay Z tackles the impact of the film La La Land being named best picture at this year's Oscars while in The Story of O.J., the rapper explores black identity in America.
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