An infinite number of terms.........................but does it have a finite sum?................I thought it might...............but it might be infinite....

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In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 12, 13, 14, etc., of the string's fundamental wavelength.

Harmonic series (mathematics) - Wikipedia

https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)

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What is the harmonic series in music?

A harmonic series is the sequence of sounds—pure tones, represented by sinusoidal waves—in which the frequency of each sound is an integer multiple of the fundamental, the lowest frequency. ... The musical timbre of a steady tone from such an instrument is strongly affected by the relative strength of each harmonic.

Harmonic series (music) - Wikipedia

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What is harmonic series in physics?

Most vibrating objects have more than one resonant frequency and those used in musical instruments typically vibrate at harmonics of the fundamental. A harmonic is defined as an integer (whole number) multiple of the fundamental frequency.

Fundamental and Harmonic Resonances - HyperPhysics Concepts

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Are all harmonic series diverges?

Why does the harmonic series diverge but the p-harmonic series converge. I am struggling understanding intuitively why the harmonic series diverges but the p-harmonic series converges. ... In both cases, the terms of the series are getting smaller, hence are approaching zero, but they both result in different answers.Apr 20, 2013

calculus - Why does the harmonic series diverge but the p-harmonic ...

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What is the harmonic number?

In number theory, the harmonic numbers are the sums of the inverses of integers, forming the harmonic series. Harmonic number may also refer to: Harmonic, a periodic wave with a frequency that is an integral multiple of the frequency of another wave.

Harmonic number (disambiguation) - Wikipedia

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Harmonic Series -- from Wolfram MathWorld

mathworld.wolfram.com › Calculus and Analysis › Series › General Series

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by EW Weisstein - ‎2004 - ‎Cited by 1 - ‎Related articles

terms (after the first two) and noting that each such block has a sum larger than 1/2, (3) (4) and since an infinite sum of 1/2's diverges, so does the harmonic series. The generalization of the harmonic series.

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