Definition of Harmonic progression

1. Noun. (mathematics) a progression of terms whose reciprocals form an arithmetic progression.

Category relationships: Math, Mathematics, Maths
Generic synonyms: Patterned Advance, Progression



Harmonic Progression Pictures

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Lexicographical Neighbors of Harmonic Progression

harmonic
harmonic analysis
harmonic analyzer
harmonic bounding
harmonic function
harmonic functions
harmonic law
harmonic mean
harmonic minor scale
harmonic minor scales
harmonic motion
harmonic number
harmonic numbers
harmonic oscillator
harmonic oscillators
harmonic progression (current term)
harmonic suture
harmonic tremor
harmonica
harmonical
harmonically
harmonically bound
harmonicas
harmonicist
harmonicists
harmonicity
harmonick
harmonicon
harmonicons
harmonics

Literary usage of Harmonic progression

Below you will find example usage of this term as found in modern and/or classical literature:

1. Modern Music and Musicians by Louis Charles Elson (1918)
"CHAPTER V CADENCES Various Ways of Ending—harmonic progression—Proportion and Balance—Function of Cadences—Untrained Ear Unreliable—Perfect and Plagal ..."

2. University Musical Encyclopedia by Louis Charles Elson (1912)
"CHAPTER XIV CADENCES Various Ways of Ending—harmonic progression—Proportion and Balance—Function of Cadences—Untrained Ear Unreliable—Perfect and Plagal ..."

3. Algebra: An Elementary Text-book, for the Higher Classes of Secondary by George Chrystal (1904)
"A series of quantities which are such tlmt their reciprocals form an arithmetic progression are said to be in harmonic progression. From this definition we ..."

4. Chapters on the Modern Geometry of the Point, Line, and Circle: Being the by Richard Townsend (1865)
"According to the analogy of arithmetic and geometric progression, any number of magnitudes are said to be in harmonic progression when every consecutive ..."

5. Elementary Algebra by John Henry Tanner (1904)
"harmonic progression 200. Harmonic series. A series of numbers whose reciprocals form an AP is called an harmonic series ; it is also often called an ..."

6. A Dictionary of Science, Literature, & Art: Comprising the Definitions and by William Thomas Brande, George William Cox (1866)
"Hence, since the reciprocals of quantities in harmonic progression form an ... harmonic progression or Series. A series of numbers such that any three ..."

7. Algebra for Secondary Schools by Webster Wells (1906)
"harmonic progression 378. A harmonic progression is a series of terms whose ... Any problem in harmonic progression, which is susceptible of solution, ..."

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