harmonic number

harmonic number
Any of a series of numbers formed from the sum of the reciprocals of consecutive integers

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  • Harmonic number — The term harmonic number has multiple meanings. For other meanings, see harmonic number (disambiguation) .In mathematics, the n th harmonic number is the sum of the reciprocals of the first n natural numbers::H n=… …   Wikipedia

  • Harmonic number (disambiguation) — The term harmonic number has several different meanings:* In number theory, the harmonic numbers are the sums of the inverses of integers, forming the harmonic series.* In engineering, the phrase harmonic number is sometimes loosely used to refer …   Wikipedia

  • Harmonic series (music) — Harmonic series of a string. Pitched musical instruments are often based on an approximate harmonic oscillator such as a string or a column of air, which oscillates at numerous frequencies simultaneously. At these resonant frequencies, waves… …   Wikipedia

  • Harmonic divisor number — This article is about harmonic divisor numbers. For meanings of harmonic number, see harmonic number (disambiguation). In mathematics, a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive… …   Wikipedia

  • Harmonic series (mathematics) — 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 1/2, 1/3, 1/4, etc., of the string s… …   Wikipedia

  • Harmonic mean — In mathematics, the harmonic mean (formerly sometimes called the subcontrary mean) is one of several kinds of average. Typically, it is appropriate for situations when the average of rates is desired.The harmonic mean H of the positive real… …   Wikipedia

  • Harmonic (mathematics) — In mathematics, a number of concepts employ the word harmonic. The similarity of this terminology to that of music is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving… …   Wikipedia

  • Harmonic seventh — Inverse Septimal major second Name Other names Septimal minor seventh, Subminor seventh Abbreviation m7 Size Semitones …   Wikipedia

  • Harmonic table note layout — Harmonic table note layout. The Harmonic Table note layout, or tonal array, is a key layout for musical instruments that offers interesting advantages over the traditional keyboard layout. Its symmetrical, hexagonal pattern of interval sequences… …   Wikipedia

  • Harmonic (disambiguation) — Harmonic usually refers to components of sound. For applications of the concept to the Electrical power industry and power systems, see Harmonics (electrical power).Harmonic can also refer to: * harmonic (mathematics), a number of concepts in… …   Wikipedia

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