Carly Simon is not the first musician who comes to mind when thinking of electronic dance music, but — as those who attended Simon’s book signing at the Brattle Theatre on Saturday could tell you — that may soon change. Simon told the sold-out audience that she’s venturing into the world of EDM, remixing hits like “Anticipation” and “You’re So Vain” with help from her son Ben Taylor. That was one of many fascinating tidbits from the singer-songwriter’s event — co-sponsored by Harvard Book Store and Club Passim — marking the paperback release of her 2015 New York Times-best-selling memoir, “Boys in the Trees.” Simon, sparkling in silver shoes, chatted onstage with Barbara Dacey (above left, with Simon) of Martha’s Vineyard’s WMVY radio and then took questions from the audience, addressing everything from her favorite song she’s written — “Love of My Life,” which was inspired by her children — to her relationships with her father and her ex-husband James Taylor. Of the latter, Simon spoke candidly about still loving Taylor, who is Ben and Sally Taylor’s father, but him not feeling the same way. She also discussed the time she spent in Harvard Square as a college student at Sarah Lawrence dating a man who went to Harvard; she even remembers seeing films like “Casablanca” at the Brattle. Simon’s boyfriend, surgeon Richard Koehler (who lives with her on Martha’s Vineyard), and her daughter (who lives in Cambridge) were at the event. The highlight for most audience members — many of whom bought multiple signed copies of her memoir to give as Christmas gifts — was surely singing along as she sang the second verse and the chorus of “You’re So Vain,” which she had promised to do in advance of the event if people showed up wearing apricot scarfs (referring to the lyric, “your scarf, it was apricot”). So what’s next for Simon? Along with EDM music, Simon spoke about future book projects and wanting to record an album with both Sally and Ben.