The stampede occurred shortly after 1 a.m., less than 30 minutes before the concert by Italian rapper Sfera Ebbasta was to begin.
Authorities said organizers had sold far too many tickets for the space. Ancona Chief Prosecutor Monica Garulli told reporters that about 1,400 tickets were sold but the disco was only able to hold about 870 people.
Later, Premier Giuseppe Conte, who visited the scene, said the disco had three rooms but inexplicably only used one for the concert, and it only holds 469 people.
While prosecutors investigate "the government must ask itself what to so that such tragedies must never happen again," Conte said.
The woman who was killed, Eleanora Girolimini, had four children and had accompanied her 11-year-old daughter to the concert, her husband, Paolo, told reporters. The girl was treated for a knee injury.
Outside the hospital where the bodies were brought, he lashed out at the event's organizers, saying that many at the event were drunk.
"Four children now are without their mother, and one of them is still nursing," he said. "It was way overcrowded and alcohol abounded."
ANSA said hospital doctors treating the injured said some survivors had burns apparently caused by an irritant spray.
An 18-year-old survivor, who left the hospital in a wheelchair due to a leg injury, was asked by RAINew24 about the spray. She replied that whatever it was, it left her and others unable to breathe, and people started to panic and flee.
Doctors at Ancona's main hospital said the most critically injured from the concert, all between 14 and 20 years old, suffered cranial and chest traumas, while others had arm or leg injuries.
Sfera Ebbasta wrote on Twitter that he was "deeply pained" by the tragedy, thanked rescuers and offered his "affection and support" to the families of the dead and the injured. Out of respect to them, he cancelled some promotional appearances.
The rapper added he wanted everyone to "to stop and think how dangerous and stupid it is to use pepper spray in a discotheque."
Italian high schools, which are usually open on Saturdays, were closed this weekend for the Dec. 8 national holiday, which made it more likely for teenagers to attend such a late concert.
Fire commander Poggiali said it was too early in the investigation to know if any safety violations at the site might have played a role in the tragedy. He said when rescue workers arrived, all the doors to the disco were open.
Interior Minister Matteo Salvini vowed that responsibility would be determined for "six broken lives — whoever out of nastiness, stupidity or greed transformed an evening of partying into tragedy."
Italian President Sergio Mattarella demanded that a "full light be shone on what happened."
"Citizens have the right to safety wherever they are, in workplaces as well as places of entertainment," Mattarella said.
At the Vatican, Pope Francis bowed his head in silent prayer after he told 30,000 pilgrims and tourists in St. Peter's Square that he was praying "for the young people and the mamma" as well as for the many injured at the concert.