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Re: the well-tempered clavier
WTC 1 was written (a) to
demonstrate the modulatory advantages of equal temperament
Possibilities, yes -- I seem to recall that WTK I was written shortly
after Werckmeister devised the system to make it possible to write in
keys with more than four accidentals.
might like the Notebook for A.M. Bach. WTC 2 was written
I thought the Notebook for Anna Magdalena was mostly pieces by visitors
to Bach's home, not by J.S.B. (or sons). Except for the first.
Rather a nice custom, too bad it's lapsed :-).