Sentence examples for harmonic series from inspiring English sources

Dictionary

harmonic series

noun

The divergent series whose terms are reciprocals of successive natural numbers starting with 1. In symbols: \sum_n=1^\infty \frac 1 n.

Exact(60)

Deutsch, D., Dooley, K. & Henthorn, T. Pitch circularity from tones comprising full harmonic series.

In the harmonic series, drop all terms whose denominator represented in decimal contains a 9.

This manipulation allows the player to obtain notes not included in the harmonic series of the original air column.

In !Kung music the natural harmonic series of each fundamental is not used beyond the fourth partial.

The sum of a sequence is known as a series, and the harmonic series is an example of an infinite series that does not converge to any limit.

But for s = 1 the sum on the left would be the harmonic series, which Oresme showed to be infinite, thus producing a contradiction.

This gives the players several fundamentals, each with its own harmonic series, thus making available a full chromatic (12-note) scale.

The irregular shapes of cement, slag and fly ash particles were characterized by spherical harmonic series.

The present method is based on expanding stress functions in terms of harmonic series to the out-of-plane direction.

Just intonation derives all intervals from natural fifths and natural thirds (the interval between the fourth and fifth tones of the harmonic series).

These computational methods are the radius method, gradient method, form index, Fourier series, spherical harmonic series, and sphericity index.

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