The term ART OF FUGUE COMPOSER is answered by the four letter word BACH. Johann Sebastian BACH was a German composer, organist, harpsichordist, violist, and violinist of the Baroque period. He is known for his works in the genres of sacred and secular music, and is widely regarded as one of the greatest composers of all time. The Art of Fugue is an incomplete work of musical counterpoint by BACH. It consists of 14 fugues and 4 canons in D minor, each using some variation of the same theme.