How did Bach improvise?
Handel, Scarlatti, and Bach all belonged to a tradition of solo keyboard improvisation, in which they improvised on the harpsichord or pipe organ. In the Baroque era, performers improvised ornaments and basso continuo keyboard players improvised chord voicings based on figured bass notation.
Could Bach improvise fugues?
Bach improvised a six-voice fugue on a theme of his own, but on his return to Leipzig wrote out a six-voice fugue on the royal theme. He had it printed with a number of other works all based on the same theme, and sent it to Frederick as ''a musical offering. ''