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Dissonant counterpoint was originally theorized by Charles Seeger as "at first purely a school-room discipline," consisting of species counterpoint but with all the traditional rules reversed. First species counterpoint must be all dissonances, establishing "dissonance, rather than consonance, as the rule," and consonances are "resolved ...
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.
Front and back of one of Kircher's musical rods A hymn constructed using the Arca Musarithmica, as produced by software simulation. Mechanical music-making is nothing more than a particular system invented by us whereby anyone, even the ἀμουσος [unmusical] may, through various applications of compositional instruments compose melodies according to a desired style.
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 ...
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.
Using a cantus firmus as a means of teaching species counterpoint was the basis of Gradus ad Parnassum by Johann Joseph Fux, although the method was first published by Girolamo Diruta in 1610. [citation needed] Counterpoint is still taught routinely using a method adapted from Fux, and based on the cantus firmus.
Some 50 employees joined Amplify. Desmos Studio was spun off as a separate public benefit corporation focused on building calculator products and other math tools. [7] In May 2023, Desmos released a beta for a remade Geometry Tool. In it, geometrical shapes can be made, as well as expressions from the normal graphing calculator, with extra ...
Basilosaurus, one of the first of the giant whales, appeared in the fossil record. 38 Ma Earliest bears. 37 Ma First nimravid ("false saber-toothed cats") carnivores — these species are unrelated to modern-type felines. First alligators and ruminants. 35 Ma Grasses diversify from among the monocot angiosperms; grasslands begin to expand.