Bach - Contrapunctus 14 - reconstruction - part 2
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il contrapunctus XIV termina la dove Bach ha finito di scriverlo.
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@PancakesoftheLove word.
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@jschubart1 Because he would have chosen arbitrary orders even though the previous entries fit together in their original respective voices and orders? The musical offering is full of this type of thing anyway.
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@wcbroccoli Why would you construct a matrix of contrapunctus vIII? The matrix is of the first part of contrapunctus xiv. It can also be obviously observed that contrapunctus VIII did not have the same plan as XIV.
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the three matrices shown in the left are permutation matrices, when combined together they fill all the components. Bach was crazily genius!
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I love the way that the 4th subject (the Art of Fugue theme) can combine with the other three either as itself or its inversion - Mr Goncz even puts them together! Of course no-one can ever replace Bach, however this person has done an excellent job of completing his work.
I think Bach, the great teacher as well as composer, would have been pleased.



This is the best Youtube post Ive ever seen.... seriously
elopez4024 2 months ago 6
@PancakesoftheLove Especially one that realizes the idea that Bach was most likely striving for.
The permutation matrix of this fugue was a marvelous discovery, and the recapitulation of the main subject of the Art of Fugue was proven to be almost certain. And when you listen to a completion that utilizes it, it occurs, at least to me, that it takes on a whole new level that turns the entire Art of Fugue into something almost akin to a cycle, an entire concept, a spiritual journey if you will.
PancakesoftheLove 1 year ago 5