Mode locking in nonlinearly excited inharmonic musical oscillators

  title={Mode locking in nonlinearly excited inharmonic musical oscillators},
  author={Neville H. Fletcher},
  journal={Journal of the Acoustical Society of America},
  • N. Fletcher
  • Published 1 December 1978
  • Physics
  • Journal of the Acoustical Society of America
Many musical instruments consist essentially of resonant systems having only approximately harmonic normal modes and excited by a force that depends nonlinearly on the velocities associated with those modes. An approximate condition is derived for the resulting sound spectrum to consist of components rigorously locked into harmonic relationship. Such mode locking is favored by nearly harmonic normal mode frequencies, by large mode amplitudes, and by large nonlinearity in the driving force. 
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