# harmonic series

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Related to harmonic series: geometric series, Harmonic sequence

## harmonic series

n.
1. Mathematics A series whose terms are in harmonic progression, especially the series 1 + 1/2 + 1/3 + 1/4 + ....
2. Music A series of tones consisting of a fundamental tone and the consecutive harmonics produced by it.

## harmonic series

n
1. (Mathematics) maths a series whose terms are in harmonic progression, as in 1 + + + …
2. (Music, other) acoustics the series of tones with frequencies strictly related to one another and to the fundamental tone, as obtained by touching lightly the node points of a string while playing it. Its most important application is in the playing of brass instruments
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## harmon′ic se′ries

n.
a series in which the reciprocals of the terms form an arithmetic progression.
[1865–70]
References in periodicals archive ?
The book focuses heavily on scales, harmonic series slurs, and large interval slurs.
Hoffman, The algebra of multiple harmonic series, J.
The resonances don't form a complete harmonic series. The frequency ratios are 1, 3, 5, 7, 9...
This is called a harmonic series and it can be shown that the sum is of the order: n(ln(n) + Y) (where Y = Euler's constant = 0.557) where n is the number of stickers required to collect.
These series of frequencies are known as harmonic series which contain several mixtures of frequencies, especially in sensor measurements, such as in human voice and in human motion domain [23, 27].
He is also artist-in-residence at London's Southbank Centre where the playing and eclectic programming of his Harmonic Series have drawn a new classical audience.
Fleet Foxes are keeping the Harmonic series going with their gig on the 26th.
Gill and Purves examine the possibility that the thread tying together the scales that have been preferred in music worldwide is their overall similarity to the spectral characteristics of a harmonic series, assessing whether the scales with the highest degree of similarity to a harmonic series are the scales commonly used to make music.
The new Earth Gravitational Model 2008 (EGM08) computed by the US NGA (Pavlis et al., 2008) contains coefficients of the spherical harmonic series complete up to degree and order 2159 that corresponds to the equiangular resolution of 5 arcmin.
The source of such a spectrum might be a single musical note together with its concomitant partials forming the harmonic series. The compositions, therefore, were not dependent on pitch relationships but were works treating musical sound per se.
The overhang pattern forms a harmonic series and shows that with five blocks you can stagger more than one block length.

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