Noun
(mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series
∑
n
=
1
∞
1
n
{\displaystyle \textstyle \sum _{n=1}^{\infty }{\frac {1}{n}}}
.
(music, physics) The sequence of all positive integer multiples of a base frequency.
Source: en.wiktionary.orgAccomplished alphornists often command a range of nearly three octaves, consisting of the 2nd through the 16th notes of the harmonic series. Source: Internet
A harmonic is any member of the harmonic series, an ideal set of frequencies that are positive integer multiples of a common fundamental frequency. Source: Internet
He approximated partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula ) and was the first to use power series with confidence and to revert power series. Source: Internet
An illustration of the harmonic series in musical notation. Source: Internet
As the bell is smaller than a modern trombone, the harmonic series is closer to a perfect harmonic series, which is the basis for just tuning. Source: Internet
'Harmonic', 'inverted', 'broken' or 'false' glissandos are those that cross one or more harmonic series, requiring a simulated or faked glissando effect. Source: Internet