* Swing: Swing is a style of jazz that developed in the 1930s and 1940s. It is characterized by its relaxed, easygoing rhythms and its use of improvisation. Tatum was one of the most important figures in the development of swing, and his playing helped to define the sound of the genre.
* Bebop: Bebop is a style of jazz that developed in the 1940s and 1950s. It is characterized by its fast tempos, complex harmonies, and extensive use of improvisation. Tatum was not as closely associated with bebop as he was with other styles of jazz, but he did incorporate some bebop elements into his playing.
* Cool Jazz: Cool jazz is a style of jazz that developed in the 1950s and 1960s. It is characterized by its relaxed, mellow sound and its use of improvisation. Tatum was not a major figure in the development of cool jazz, but he did play some cool jazz tunes late in his career.