That John Lennon contained multitudes and mysteries was clear to anyone who listened to him when he was in the Beatles and after he discovered himself anew with Yoko Ono, who united with him mind, body and soul. They first met in 1966, kept in touch and finally shared a long night that ended with their making love at dawn. “It was very beautiful,” Lennon later said. They were still together in 1980 when he was fatally shot in New York. He was only 40. In the years since his death, Ono — who turned 92 in February and has retreated from public view — has helped keep him vividly present through her art, music and activism.

Lennon and sometimes Ono are exhilaratingly present in “One to One: John & Yoko,” a documentary flooded with music and feeling that revisits a narrow if eventful period in the couple’s life. Directed by Kevin Macdonald and heroically edited by Sam Rice-Edwards (who’s also the co-director), the movie focuses on the early 1970s when Lennon and Ono were living in a modest apartment in the West Village amid clutter, clouds of smoke (cigarette and otherwise) and a hardworking television. “I just like TV,” an offscreen Lennon says in the documentary. “Whatever it is,” he adds, “that’s the image of ourselves that we’re portraying.”

The image of Lennon and Ono in “One to One” is of an appealing, loving, creatively — and politically — fired-up couple who have happily lost and found themselves in the ferment of New York. By the time they landed in the city in 1971, Lennon and Ono were married, and the Beatles were no more. (The group made it legal in 1974.) When the couple met in 1966 it had been at one of her gallery shows. There, Lennon climbed a ladder featured in one of Ono’s artworks to read a single word that she had scribbled on the ceiling: “Yes.” Perhaps it was prophetic: They were married to other people, but soon said yes to each other, leading to a lot of ugliness directed at Ono, who was wrongly blamed for the Beatles’ breakup.

For “One to One,” Macdonald has drawn from a wealth of engrossing, at times arresting archival material, including footage of Lennon and Ono at home, as well as never-before-released phone calls, for a movie that is as busy and as populated as their lives appeared to be. Allen Ginsberg pops up here, once while reciting best practices for anal hygiene. So do Angela Davis, Phil Spector, George Wallace and Jerry Rubin, who spoke about revolution alongside Lennon and Ono on “The Mike Douglas Show” in an eye-popping 1972 clip. Cinephile alert! The blond guest in that snippet is the filmmaker Barbara Loden, whose “Wanda” opened the year before. Lennon was right: TV was worth watching then.