Listen to How High the Moon online. How High the Moon is an English language song and is sung by Art Tatum and Gene Norman's "Just Jazz". How High the Moon, from the album Art Tatum from Gene Norman's Just Jazz / Gene Norman's Just Just Jazz Vol. 3 / Frank Bull and Gene Norman's Blue Jubilee, was released in the year 1953. The duration of the song is 2:29. Download English songs online from JioSaavn.