One thing is quite clear about the musical “Head Over Heels” — it knows what it is, and gleefully accepts what it’s not.

A rollicking production of the quirky show at City Lights Theater Company makes certain the superfluous, farcical story is joyful, with slick and progressive statements dotted throughout James Magruder’s adaptation of Jeff Whitty’s original conception.

The plot is based on the 16th-century prose romance “The Countess of Pembroke’s Arcadia” by Sir Philip Sidney, paired wittily with the early-1980s music of The Go-Go’s. The kick-butt all-female punk-inspired rock band and their sugary, singable hooks get the well-deserved star treatment in this production, a celestial collection of voices blended with absolute pleasure. Those tunes are the stars of the show, treated with

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