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progression
(redirected from harmonic progression)

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progression

Sequence of numbers each occurring in a specific relationship to its predecessor. An arithmetic progression has numbers that increase or decrease by a common sum or difference (for example, 2, 4, 6, 8); a geometric progression has numbers each bearing a fixed ratio to its predecessor (for example, 3, 6, 12, 24); and a harmonic progression has numbers whose reciprocals are in arithmetical progression, for example 1, 1/2, 1/3, 1/4.

progression

Logical movement of two or more chords in succession, either harmonically, with all the notes moving simultaneously, or polyphonically, with each one being part of a continuously moving horizontal melodic line.



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Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots, Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
However, in chromatic passages, it will be necessary to change the anchor tones often, following the harmonic progression.
The fascination in the piece was the slow movement, a merging of chaconnes - pieces built on the same harmonic progression -except there were several moving at once, which kept listeners busy.
 
 
 
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