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In mathematics, the harmonic mean (sometimes called the subcontrary mean) is one of several kinds of average, and in particular one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates is desired. The harmonic mean can be expressed as the reciprocal of the arithmetic mean of the reciprocals. As a simple example, the harmonic mean of 1, 2, and 4 is 3 1 1 + 1 2 + 1 4 = 1 1 3 ( 1 1 + 1 2 + 1 4 ) = 12 7 .
A harmonic is any of the integer multiplications of the fundamental frequency. The fundamental frequency (f) is known as the first harmonic, and 2f is known as the second harmonic, and so on. A highly useful application of harmonics is the Fourier analysis. harmonic is any of the integer multiplications of the fundamental frequency. The fundamental frequency (f) is known as the first harmonic, and 2f is known as the second harmonic, and so on. A highly useful application of harmonics is the Fourier analysis.