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EN
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.
PL
Christophowi Bossertowi udało się udowodnić symetrię w serii zbiorów cyklicznych jako części procesu kompozycyjnego Bacha, które do tej pory nie były znane, na przykład w chorałach ze zbioru Neumeistra, w DWK cz. 1 oraz 2, jak również w trzeciej części zbioru ClavierUbung. Wewnątrz ClavierUebung znajduje się 27 utworów, tworzących za to 29 różnych części według przynależności poszczególnych metrum. Utwór nr 15, chorał Vater unser im Himmelreich, jest centrum o strukturze 40 + 1 + 50 taktów. Proporcja 4 do 5 może być zauważona w nr. 17 do 13, jak również w nr. 11 do 19. Innym rodzajem argumentu przemawiającego za symetriami są obydwie formy trio, nr 9 i 21. W pięciu utworach, nr 4–26, jak również 11–19 oraz 15 jako centrum, zauważalna jest podobna struktura ostatnich 13 taktów lub ich połowy. Często poruszana kwestia tonacji jest wyjaśniona ze względu na układ dźwięków tonicznych, które tworzą linię melodyczną wezwania eleison z części Kyrie, w formie skróconej, w raku i w odwróceniu. Na szczególną uwagę zasługuje pochód utworów od 20 do 23, w tonacjach fis, d, f i e. Z układu dźwięków tonicznych wynika, że utwory manuałowe włącznie z czterema duetami muszą być potraktowane jako strukturalnie należące do całości dzieła.
EN
In 1947 F. Smend has developed the theory about numerological symbolism in Bach`s music. In similar way to the cabalistic gematria, he discovered, the coinherence of symbolic name Bach as the number 14, and J.S.Bach as 41. He claimed, that it is possible to find that Bach has used that symbolism in his compositions. The exaple of this operation is possible to find in the first part of ClavierUbung: this work is made from 41 movements, and was published as the first printed work from Bach in his life. And Bach started to write this work, as he was 41 years old. On the Hausmann painting, Bach has got the manuscript contain fragment of 14 canons. The painting was made because of Bach`s joining as 14th member to the Mitzler Society. Those simple conclusions lead to establish the international searching group for common platform for music, theology and symbolical numbers in Bach`s ouvre. This group has mainly researched the text-based works, and didn`t focus on the correspondence among the series-work of Bach. Profesor Christoph Bossert with his over 20 years of his research work discovered the special code, which Bach might to used for his compositions. Based on that discoveries, he constitute the Bach-Societät group, which is focused on researches and discovering connections among the theology, symbolism and musical structures in whole Bach`s music.
PL
In 1947 Friedrich Smend has developed the theory about numerological symbolism in Bach’s music. In similar way to the cabalistic gematria, he discovered, the coinherence of symbolic name “Bach” as the number 14, and “J.S.Bach” as 41. He claimed that it is possible to find that Bach has used that symbolism in his compositions. The exaple of this operation is possible to find in the first part of ClavierÜbung: this work is made from 41 movements, and was published as the first printed work from Bach in his life. And Bach started to write this work as he was 41 years old. On the Hausmann painting, Bach has got the manuscript contain fragment of 14 canons. The painting was made because of Bach’s joining as 14th member to the Mitzler Society. Those simple conclusions lead to establish the international searching group for common platform for music, theology and symbolical numbers in Bach’s ouvre. This group has mainly researched the text-based works, and did not focus on the correspondence among the series-work of Bach. Profesor Christoph Bossert with his over 20 years of his research work discovered the special code, which Bach might to used for his compositions. Based on that discoveries, he constitute the Bach-Societät group, which is focused on researches and discovering connections among the theology, symbolism and musical structures in whole Bach’s music.
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