A wide variety of unrelated mushrooms share a similar coral-like growth form and are collectively known as Coral Fungi. The colors of these decomposers range from leaf-litter-like tans and yellows, to eye-catching oranges, pinks, and purples. According to George Barron*, these mushrooms, while pleasing to the eye, are often difficult to identify to genus, never mind species level. Positive identification of many species requires examining key features with a microscope.
After some non-microscopic examination, I'd guess this mushroom is in the genus Ramaria (possibly R. stricta), but for our purposes here, I'll leave this coral fungus unidentified.
*Mushrooms of Northeast North America: Midwest to New England (1999, p. 110)