Third part of ClavierUebung inside ClavierUebung I–IV and inside the chorale-style composing of Johann Sebastian Bach

Abstract

Christoph Bossert has succeeded in proving  symmetries in a serie of cycles inside of Bach’s composing, who are not known already, for example the Chorals of the Neumeister-Collection, the Welltempered Clavier, part 1 and part two and the third part of ClavierÜbung. Inside of ClavierÜbung III are 27 pieces, but 29 different parts belonging to the mesuring. In consequence Nr. 15 Vater unser im Himmelreich is the center, structered in 40 + 1 + 50 bars. The propotion 4 to 5 can be seen in Nr. 17 to 13 as well as Nr. 11 to 19. Another kind of argument for symmetrie are the two trios Nr. 9 and 21. In five pieces Nr. 4 to 26 as well as Nr. 11 to 19 and Nr. 15 as the central piece is the end structered in 13 bars or half bars. the often discussed question of tonality can be answered by the order of the basic ton of every piece – Nr. 2, 3, 4, 5, 6, 7 has two of them. The melodical line of the eleison inside the Kyrie can be seen as structure therefore, variated in shorter version, in revers and as inversion. One of the very special questions concern to Nr. 20 to 23 in fis, d, f and e. Because of the so structured order of basic tones it’s obvious, that all pieces without pedal and especially the Duettos belong to the whole work as a cycle as well as the pieces with pedal.