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Species counterpoint generally offers less freedom to the composer than other types of counterpoint and therefore is called a "strict" counterpoint. The student gradually attains the ability to write free counterpoint (that is, less rigorously constrained counterpoint, usually without a cantus firmus) according to the given rules at the time. [17]
4th chapter of ITT is devoted to species counterpoint, an old western tradition of composing music consisting of simple lines with uniform rhythm. Westergaard presented formal grammars to construct/parse species lines. According to him, there are three types of lines: primary line, generic line, and the bass line.
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 species counterpoint, as given in Fux, the student is to master writing counterpoint in each species before moving on to the next. The species are, in order, note against note; two notes against one; four notes against one; ligature or suspensions (one note against one, but offset by half of the note value); and florid counterpoint, in which ...
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The example shown here may at first be considered a mere elaboration of an F major chord, an arpeggiation in three voices, with passing notes (shown here in black notes without stem) in the two higher voices: it is an exemplification of the tonal space of F major. The chord labelled (V) at first merely is a "divider at the fifth".
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