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Counterpoint (Kontrapunkt in the original German) is the second volume of Heinrich Schenker's New Musical Theories and Fantasies (the first is Harmony and the third is Free Composition). It is divided into two "Books", the first published in 1910, and the second in 1922. The subject matter of the work is species counterpoint.
In fifth species counterpoint, sometimes called florid counterpoint, the other four species of counterpoint are combined within the added parts. In the example, the first and second bars are second species, the third bar is third species, the fourth and fifth bars are third and embellished fourth species, and the final bar is first species.
Schenkerian analysis is a method of analyzing tonal music based on the theories of Heinrich Schenker (1868–1935). The goal is to demonstrate the organic coherence of the work by showing how the "foreground" (all notes in the score) relates to an abstracted deep structure, the Ursatz.
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Voice leading developed as an independent concept when Heinrich Schenker stressed its importance in "free counterpoint", as opposed to strict counterpoint. He wrote: All musical technique is derived from two basic ingredients: voice leading and the progression of scale degrees [i.e. of harmonic roots]. Of the two, voice leading is the earlier ...
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(Occasionally, in modern counterpoint textbooks, the third and fourth species are reversed with suspensions being taught before four notes against one.) Fux expressed the intention of adding sections on how to write counterpoint for more than four parts, indicating that rules in this area were to be "less rigorously observed".