The Collaborative International Dictionary of English v.0.48:

Corant \Co*rant\, Coranto \Co*ran"to\, n. [See Courant.]
   A sprightly but somewhat stately dance, now out of fashion.
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         It is harder to dance a corant well, than a jig. --Sir
                                                  W. temple.
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         Dancing a coranto with him upon the heath. --Macaulay.
   [1913 Webster]