조화급수와 조화 평균에서 '조화'란?

• \(1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}+\cdots\)
• (몰라도 되는 식 하나) \(\lim_{n \to \infty}\Big((1+\frac{1}{2}+\cdots+\frac{1}{n}) - \ln n \Big)\) : 수렴한다. (수렴값 = 0.5772…) (링크 참조)
  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 fundamental wavelength. Every term of the series after the first is the harmonic mean of the neighboring terms; the term harmonic mean likewise derives from music.
  

 

• What's Harmonic about the Harmonic Series?
  
  • David E. Kullman
  • The College Mathematics Journal, Vol. 32, No. 3 (May, 2001), pp. 201-203