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Section of trope chart IV
 
© Fotoarchiv Hauer
In his treatise "Twelve-note technique", Vienna 1926, Hauer published the 44 tropes with all their transpositions. In chart I all tropes are based on the root-tone E flat, in chart IV all on the root-tone F sharp.
 




 
 

Josef Matthias Hauer in pictures
Hauer in front of his chart of tropes Hauer's Testament

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