He was an accomplished pianist and composer, although he never published any of his works.
Of his four daughters only one, who married the Russian pianist Gabrilowitch, survived him.
Her sister, Maria Teresa Agnesi (1724-1780), a well-known Italian pianist and composer, was born at Milan in 1724.
On the advice of this great pianist, he gave up his Edinburgh appointments, which had quite worn him out, and settled in Florence in order to compose.
Early distinguished by her excellence as a pianist, organist and singer, she also showed considerable ability in painting and illuminating; but a lively poetic imagination led her to the path of literature, and more especially to poetry, folk-lore and ballads.