“The body never lies,” said Martha Graham. In our time of “alternative facts,” the truth is a tonic. Graham was trained on truth, as are her dancers. The company brings two programs to the Joyce Theater and they are jam-packed with classics and new work. Program A includes Graham’s Diversion of Angels and Appalachian Spring (you cannot call yourself cultured if you’ve never seen Appalachian Spring), along with Janet Eilber’s re-creation, using archival photos and a new score from Christopher Roundtree, of the lost Graham solo Immediate Tragedy, a 1937 response to the Spanish Civil War. Program B presents Diversion along with the exhilarating Steps in the Street, works by Pam Tanowitz and Sir Robert Cohan, and Elisa Monte’s mesmerizing Treading. The matinee on October 30 offers a special program—a mini festival!—of all new choreographic voices. —L.J.