Azuma Tokuyo, center, as an innkeeper’s daughter in “Boléro — The Legend of Anchin and Kiyohime,” at Japan Society in New York, Jan. 24, 2024. At Japan Society, “Nihon Buyo in the 21st Century,” a rare showcase in New York of this style of Japanese dance, forges a link between the past and present. (Andrea Mohin/The New York Times).