Several Renaissance masses were written based on the system described by Joe.
The best known is the polyphonic masterpiece, Missa La sol fa re mi, by Josquin des Prés, based on the solmisation notes which these syllables represent on the medieval scale. This was published in 1502.
In a note to a cd containing this mass by the Tallis Scholars, Peter Phillips wrote "According to Giareanus (1547), the notes originated in mimicry of an unknown potentate who used to send away importunate suitors with the words 'Lascia fare mi' (Leave it to me)." This may not be true.