For 10 points, identify this Italian composer of 555 sonatas, mainly for the harpsichord, the son of Alessandro.
This man employed notes marked B sharp that ascend to a high A in the last aria of his cantata "Di Fille vendicarmi vorrei". He wrote an a cappella Mass in G minor, and in another work, the right hand stretches a full octave from high D to low D, before playing a D-E-G triplet. He taught such figures as Barbara of Portugal, a fact reflected in the Iberian influence seen in works like the Fandango in D minor. A "crux" was noted in several of his works by the man who catalogued him, Ralph (*) Kirkpatrick. For 10 points, identify this Italian composer of 555 sonatas, mainly for the harpsichord, the son of Alessandro.
This man employed notes marked B sharp that ascend to a high A in the last aria of his cantata "Di Fille vendicarmi vorrei".
{Domenico Scarlatti} [prompt on partial answer]