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1Music A series of chord changes forming the underlying harmony of a piece of music.
‘Often it is as if all the elements of the music have suddenly concentrated themselves into a rhythm or a harmonic progression, or a flash of pure tonality; but such moments are impossible in isolation.’
‘A melody, a harmonic progression, a dissonance, or another device or combination of devices may be said to give a work expression.’
‘My favorite waltz of any of the versions is the one in A-flat, which closes this set - a gorgeous melody with a radiant harmonic progression in the second strain.’
‘Unless my ears deceive me, there is something distinctly similar to the Austrian's Gurrelieder in the rich scoring; the closing pages also having an harmonic progression almost identical to Schoenberg's Pelléas and Mélisande.’
‘In an idiosyncratic article of 1916 he compares and contrasts Domenico Scarlatti with Debussy, both being fond of subversive harmonic progressions, the latter in a more systematic way.’
2Mathematics A sequence of quantities whose reciprocals are in arithmetic progression (e.g., 1, 1/3, 1/5, 1/7, etc.).
‘He uses similar relationships to structure his improvisations, generating melodic patterns based on underlying harmonic progressions derived from Fibonacci numbers and the ratios between them.’
‘When the progression produced by reciprocal numbers is an arithmetic progression, it is called a harmonic progression. For example, 1, 1/2, 1/3,⋯ and 1, 1/3, 1/5, ⋯ are harmonic progressions.’