Mark Hamill was spellbound by a Mozart composition, but he couldn’t remember its name. The haunting choral masterpiece played near the end of the Broadway production of “Amadeus” more than 40 years ago, in which he performed the title role.

So when Mr. Hamill, the actor who portrayed Luke Skywalker in “Star Wars,” was approached in June 2020 by Zachary Woolfe, The New York Times’s classical music editor, to suggest an irresistible Mozart piece, he responded with one request: Can you track it down?

With some help from the team at the New York Public Library for the Performing Arts, Mr. Woolfe identified the mystery earworm: a section of Mozart’s Requiem. Mr. Hamill played the composer hundreds of times on Broadway and in the first national tour of “Amadeus” in the early 1980s. But, he told Mr. Woolfe, “I never got tired of the sound.”

Mr. Woolfe chatted with Mr. Hamill for the Mozart installment of The Times’s classical music appreciation series, “5 Minutes That Will Make You Love _____.” Once a month online, about 15 musicians, pop-culture figures and Times writers and editors each select the piece they would play for a friend tied to a theme, be it an instrument, composer, genre or voice type. This month’s theme, published today, is string quartets.

The series aims to make classical music as accessible to readers as a Top 40 track, Mr. Woolfe said. You don’t need to know the difference between a cadenza and a concerto. “It’s about pure pleasure and exploration,” he said.

Now two and a half years and a dozen segments into the project, Mr. Woolfe said he had been surprised at readers’ appetite for the series, regardless of the theme. “It’s like, ‘OK, ‘5 Minutes That Will Make You Love Mozart’ is super appealing,’” he said. “But ‘5 Minutes That Will Make You Love Baroque Music’? Or ‘5 Minutes That Will Make You Love 21st-Century Composers’? But those both did terrifically as well.”

The name for the series came to him in the shower in 2018 as he was pondering ways he could make The Times’s classical music coverage accessible to a broader audience. “I was thinking about being at a concert or listening to a recording, and being like, ‘OMG, that note she hit!’” Mr. Woolfe said. “Then I had the idea of asking different people to pick their favorite little five-minute nuggets and presenting them like a playlist.”

The first installment, in which he asked artists like Julia Bullock, the young, velvety-voiced soprano, and Nicholas Britell, the composer of the Oscar-nominated score for “Moonlight,” to choose the five minutes they would play to make their friends fall in love with classical music, became a runaway hit with readers, racking up more than 400,000 page views in its first week alone.

That reception inspired him to expand the series — first to individual instruments like the piano, then to genres like opera and composers like Mozart and Beethoven. And the pandemic motivated him to ramp up the pace: Since last April, new segments have published on the first Wednesday of every month.

“It has doubled our audience for classical music,” Mr. Woolfe said. “It’s gratifying that whatever we do, people are willing to explore and be into it.” But he added that he had been happy to hear that classical aficionados have enjoyed the series, too.

David Allen, a freelance critic for The Times and a frequent contributor to “5 Minutes,” said he targeted both novices and experts with his selections. “I sometimes have thought deeply about finding pieces that are off the beaten track,” he said, like a little-heard piece from Bach’s organ music or a movement from a Mozart serenade.

Mr. Woolfe also credited the appeal to the series’s vibrant, eye-catching animations, like pulsating cello strings or a silhouette of Mozart caught in a colorful confetti storm. “They enhance the playfulness and accessibility of the series,” he said.

Angie Wang, the freelance illustrator who creates them, said she watched videos of the musicians and noted their characteristic movements, paying particularly close attention to wrist and elbow articulation. “I wanted to render them with delicacy,” she said. “The animations are a kind of visualization for the music.”

One of Mr. Woolfe’s favorite aspects of working on the series has been getting to know artists outside the performance context in which he typically encounters them (“Renée Fleming is a really good writer,” he said), as well as talking to notable names outside the classical music world about a subject they are rarely, if ever, asked to discuss.

“I get to see how people think in addition to how they perform,” he said. “It’s another facet of the personalities of artists.”

Although the series was not conceived as an antidote to the polarization that has gripped politics and public health in the past year, Mr. Woolfe is glad it has worked out that way. “I’m so happy it’s been counterprogramming for people during the pandemic,” he said. “And I hope they’ll keep listening.”