MUS 311 Counterpoint
A. Introduction, Chapter 1
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The term counterpoint originated when, in
earlier times, dots were used instead of modern notes. Ergo,
one used to call a composition in which point was set against, or
counter to, point, "counterpoint."
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One of the earliest treatises on the subject is Gradus
ad Parnassum (Steps to Parnassus) (pub. 1725) by Johann Joseph
Fux (1660-1741). It includes materials on intervals, scales,
fugues and various stylistic trends of the day. The greatest
portion was devoted to lessons in counterpoint.
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Strict counterpoint (16th century):
refers to Fux's approach, where there is a cantus firmus in
whole notes, against which another voice is written using one of the
various species. The basic exercises are not intended
to involve a metrical pulse, and harmonic implications do not enter
in. The emphasis is on vertical intervals and on the
motion of the added voice in relation to the C.F.; about these
aspects there are some rather severe restrictions.
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Free counterpoint: based on
18th-century instrumental models and is not concerned with those
restrictions that apply specifically to the 16th-century
style. Free counterpoint often makes use of exercises in the
species, but in a modified way that involves a sense of meter and
harmonic implications. (This course deals with the
18th-century approach to counterpoint.)
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Species: method of teaching counterpoint known
mainly through Fux's Gradus ad Parnassum. Fux
distinguished five species (different ways of adding contrapuntal
voice-parts above and below a given C.F.):
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Note against note (1st species)
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Two notes against each note of the C.F. (2nd
species)
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Four notes against each note of the C.F. (3rd
species)
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Notes in syncopated position (4th species)
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Florid counterpoint, consisting of a combination
of the other species and progressions in eight notes (5th species)
(Harvard Dictionary)
Examples:

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