Pietro Grossi was the first pioneer of computer music in Italy. During his activities from 1961 to the 1980s he devoted much research to algorithmic composition. Grossi's first experiments in this field are discussed, dealing particularly with three important phases of his work: initiating algorithmic composition at the S 2F M studio in Florence, writing digital programs at the CNUCE Institute in Pisa, and realising a musical algorithm by translating the curve designed by the mathematician Peano into a sonic form.