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Encyclopedia Britannica - Main :: HAN-HEG |
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HARMONIC . In acoustics
string
octave (see SOUND
series consists of terms whose reciprocals form an arithmetical progression; the simplest example is:I +1+ 1+1 +... (See ALGEBRA and ARITHMETIC). The occurrence of a similar proportion between segments of lines is the foundation of such phrases as harmonic section, harmonic ratio, harmonic conjugates, &c. (see GEOMETRY: II. Projective). The connexion between acoustical and mathematical harmonicals is most probably to be found in the Pythagorean discovery that a vibrating string
octave and 5th of the original
being said to be, probably first by Archytas, in harmonic pro-portion. The mathematical investigation of the form of a vibrating string led to such phrases as harmonic curve, harmonic motion, harmonic function
analysis , &c. (see MECHANICS
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