With radical adaptations of Verdi’s “Macbeth” and Puccini’s “Tosca,” Heartbeat Opera shows why it’s so vital to New York’s music scene.Heartbeat Opera, a small, nimble company that has received its share of plaudits over the years, is on the cusp of a milestone birthday: its 10th. But there was a time recently when it didn’t know whether it could go on, its artistic director, Jacob Ashworth, said.Speaking from the stage after opening night of Heartbeat’s two-part spring festival on Tuesday, Ashworth said that the departure of the company’s founding artistic directors during the pandemic put its future in doubt.On the evidence of the new, radical reconceptualizations of Puccini’s “Tosca” and Verdi’s “Macbeth” — Heartbeat’s first mainstage shows since 2019, which opened this week at the Baruch Performing Arts Center — the company hasn’t skipped a beat.Taken together, the operas demonstrate the strengths that make Heartbeat so vital to New York’s opera scene. “Lady M,” an utterly original recreation of Verdi’s opera that places Lady Macbeth’s doubts and moral quandaries at its center, is an astonishing display of the company’s musical imagination, theatrical instincts and intellectual firepower. “Tosca,” more ambitious but less successful, shows how Heartbeat, agile and daring, can quickly align with an issue as urgent as the women’s rights movement in Iran, where uprisings in the fall captured international attention.A scene from “Lady M,” with Algozzini and Kenneth Stavert as Macbeth.Russ Rowland“Lady M” is Heartbeat at its best. The production’s director, Emma Jaster; its music director and arranger, Daniel Schlosberg; and its original adapters, Ashworth and Ethan Heard, have reoriented the audience’s point of entry into one of Verdi’s most distinctively colored scores, trimming the length, the orchestrations and the list of characters to reveal the work’s core. Macduff, the chorus, Macbeth’s big Act IV aria — all scrapped.In typical stagings, Lady Macbeth comes across as an unsubtle, unrepentant harridan whose abrupt crisis of conscience in the opera’s final act stretches credulity. The soprano role offers a string of marvelous set pieces — a hell-raising letter scene, a chaotic drinking song, a spellbinding sleepwalking scene — but they rarely form a coherent arc.Heartbeat starts with Lady Macbeth’s breakdown as the essential truth of her character and then molds the narrative to fit it. The show begins with Lady Macbeth in bed, sobbing uncontrollably, full of remorse for all the blood she has helped to shed. Her crying is so relentless that Macbeth, irritated and unmoved, gets up to go sleep on the couch. Then, the action flashes back to the score’s beginning, in which Macbeth — often treated as a weak-willed hero buffeted by supernatural forces and a monstrous wife — appears as a cool, calculating, sociopathic yuppie handing out his business card to members of the audience. The witches prophecy that he will climb the corporate ladder.In Heartbeat’s telling, Lady Macbeth, no longer the scapegoat for her husband’s foul behavior, is the one who is led astray by an avaricious spouse. The Macbeths’ desire for public glory finds an outlet in the hollow vanities of social media, represented throughout the show by a ring light, its bright cast a reminder of manipulated reality rather than truth.As Lady Macbeth, Lisa Algozzini charted the gradual degradation of a woman forced to reflect her husband’s ambitions back to him. Her “La luce langue” — haunted, fearful and quivering with uncertainty — became an elegy for people that she and Macbeth had not yet murdered, and “Una macchia” had a raw guilt to it. Algozzini simplified the cabaletta in the letter scene and skipped the high D flat in the sleepwalking scene, but her performance was still filled with gripping details. Kenneth Stavert, as Macbeth, showed a bright, open baritone sound that had depths of strength and propulsion.Schlosberg, with the vision of a master sculptor, chipped away at Verdi’s score to reveal new contours and continuities in the music and action. He didn’t so much reduce Verdi’s orchestration as reinvent it for an ensemble of six musicians (including himself as conductor and pianist). Samuel George’s trombone playing was jauntily demonic and, in its brief imitations of a French horn, somehow noble. Paul Wonjin Cho’s wild, soused clarinet solo in the drinking song injected instability into a predictable aria form. At one point, the percussionist Mika Godbole bowed a vibraphone to make it sound like a glass harmonica. They played like a band possessed, and the use of electronics added an otherworldly texture bubbling with disruption. It was flat-out brilliant.Anush Avetisyan and Chad Kranak in “Tosca,” set in an unnamed religious dictatorship that requires women to wear hijab and abide by stringent social norms.Russ RowlandThe orchestrations for “Tosca” never quite rose to that level. Schlosberg started with an unassailable idea to feature three cellos and a double bass — a nod, probably, to the famous cello quartet in Act III — but despite the handsome string playing, the instrumentation was too bare to deliver the score’s romance.“Tosca” had one of those Heartbeat concepts that lends itself to a zeitgeist-y epithet, along the lines of its Black Lives Matter “Fidelio” in 2018 and a #MeToo “La Susanna” in 2019. But the depth and ingenuity of the company’s engagement consistently erases any suspicion of topical opportunism.Staged by the Iranian American director Shadi G. and adapted by her in collaboration with Ashworth, “Tosca” had a show-within-a-show structure. They set Puccini’s opera — a melodrama roiled by sex, murder and the abuse of power — in an unnamed religious dictatorship that requires women to wear hijab and abide by stringent social norms. Even the ushers and musicians wore head scarves. We see a cast of singers staging a traditional production of “Tosca,” set in Rome, under the watchful eye of security forces and morality police, who stalk the edges of the stage and take note of the performers’ violations of the country’s moral code.Shadi’s framing introduced a fresh sense of danger. At one point, the police drag the actor portraying Cavaradossi (the tenor Chad Kranak) offstage and beat him. He desperately lunges back onto the stage only to be clawed back into the wings. It was harrowing to watch.Still, the staging could feel forced and, at times, risible, as security forces popped up, Whac-a-Mole style, in unexpected places. The singers — including Anush Avetisyan (a Tosca with a dark-hued voice), Gustavo Feulien (an elegantly underplayed Scarpia) and Joseph Lodato (a vocal standout as Angelotti) — brought a sense of scale and subtlety to their assignments that suited Baruch’s black box theater.In a way, “Lady M” expresses a more compelling sense of displacement. In its final minutes, Lady Macbeth and the witches sang the refugee chorus. As a choice it felt unusual, then somehow inevitable. Here was a woman mourning a homeland that wasn’t gone but still unavailable to her, because she had lost her way — proof, if any were needed, that Heartbeat certainly hasn’t. More