Born in Tartu, she studied composition at the Tallinn Secondary Music School under Alo Põldmäe and from 1989 to 1992 at the Estonian Academy of Music with Erkki-Sven Tüür, being the latter's sole student of composition thus far. In 1994 Tulve graduated with the Premier Prix from Jacques Charpentier's composition class at the Conservatoire Superieur de Paris. Between 1993 and 1996 she furthered her knowledge of Gregorian chant. She has also attended György Ligeti’s and Marco Stroppa’s summer courses.
Wife of Jaan-Eik Tulve.