May 27-mid-September: On a roster that includes, in September in Battery Park, work by such dance world stars as Mark Morris, Elizabeth Streb, Twyla Tharp, and the late Martha Graham, root for this exotic truffle: Three dancers, four sopranos, and an actress tell of the women Odysseus encounters on his way back to Penelope, in this free performance May 29 and 30, 10 minutes before sunset, inspired by Homer's Odyssey, choreographed by the Dutch artist Beppie Blankert in collaboration with composer Louis Andriessen.

Union Square Park, Union Square East and 16th Street, 212-460-1208

June 11-August 20: Paula Hunter's diverse roster of companies plays Wednesdays at 6, starting with a "neighborhood affair" featuring dances by Washington Irving High School Performing Arts House Dancers, New York University students, and Carol Fonda. Subsequent weeks include Arthur Aviles Typical Dance Theatre, Flamenco Vivo Carlota Santana Spanish Dance, the Joffrey Dance Ensemble, Taylor 2, Lori Belilove & Company, KR3TS (a wonderful young troupe from East Harlem), the Niall O'Leary Irish Dance Troupe, Valetango, and Battery Dance Company.

'TAP CITY 2003'
The Duke on 42nd Street, 229 West 42nd Street, 212-239-6200, 646-230-9564,

July 12-20: Adding to the clatter of midtown are two weeks of classes, concerts, and grand jams featuring the young, the international, the legendary masters, and the newest ensembles. Watch as a classic genre is transformed. There's a welcome party and jam at Jimmy's Uptown in Harlem on July 13.

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