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

harmon′ic se′ries


n.
a series in which the reciprocals of the terms form an arithmetic progression.
[1865–70]
References in periodicals archive ?
Hoffman, The algebra of multiple harmonic series, J.
A trick is used, however, to make a nearly complete harmonic series by ignoring the lowest resonance and using only the overtone resonances.
We worked through his exercises starting low concert F and working through the harmonic series one note at a time, working on using minimal effort to produce the next harmonic.
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.
2008) contains coefficients of the spherical harmonic series complete up to degree and order 2159 that corresponds to the equiangular resolution of 5 arcmin.
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 source of such a spectrum might be a single musical note together with its concomitant partials forming the harmonic series.
The overhang pattern forms a harmonic series and shows that with five blocks you can stagger more than one block length.
The piece gets its unmistakable fanfare sound by confining its palette to the capabilities of valveless brass instruments such as bugles, which can play only the limited pitches of the harmonic series.
Coverage includes elementary and advanced tests for convergence or divergence as well as information about the harmonic series, the alternating harmonic series, and closely related series.