"I hear, 'Oh, expletive,' and immediately, I hear a crash,'" said the band's commander, Chief Warrant Officer Scott MacDonald.
The three injured band members were treated and released from Irwin Army Community Hospital. The parachutist, Scott Hallock, refused treatment at the scene.
"We know that they're going to be all right," said Gen. Charles Campbell, head of the Army's Forces Command, during opening remarks.
Two tubas were destroyed, said Mike Keating, assistant chief of the post's Fire Department. MacDonald said a trumpet was also damaged.
MacDonald said band members had been standing, waiting for the start of the ceremony and weren't looking up. He said they didn't hear anything except a brief rustling of the jumper's parachute.
He hit the back row, landing feet first, MacDonald said.
Band member Sgt. Rachel Boggs was knocked unconscious and had a fractured jaw, hospital spokeswoman Lisa Medrano said. Sgt. Andrew Spinazzolla suffered minor neck and head injuries and had a fractured ankle, Medrano said. Staff Sgt. Mark Lucero sustained what Medrano called a minor leg injury.