Tuning a musical instrument with vibrato system: A mathematical framework to study mechanics and acoustics and to calculate optimal tuning strategies.

@article{Hebenstreit2018TuningAM,
  title={Tuning a musical instrument with vibrato system: A mathematical framework to study mechanics and acoustics and to calculate optimal tuning strategies.},
  author={Daniel Hebenstreit},
  journal={The Journal of the Acoustical Society of America},
  year={2018},
  volume={143 6},
  pages={
          3231
        }
}
  • D. Hebenstreit
  • Published 1 June 2018
  • Physics
  • The Journal of the Acoustical Society of America
String instruments such as electric guitars are often equipped with a vibrato system, which allows varying the pitch of all strings as a musical effect. It is usually based on a mobile bridge that is kept in balance by the strings and a coiled spring. Tuning such an instrument is complex, since adjusting the tension on one string will alter all other strings' tensions. In practice, a heuristic method is used where all strings are repeatedly tuned to the desired pitch, which appears to reliably… 

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References

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String Theory - The Physics of String-Bending and Other Electric Guitar Techniques

TLDR
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