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Perception of longitudinal components in piano string vibrations.

Balázs Bank1, Heidi-Maria Lehtonen

  • 1Department of Measurement and Information Systems, Budapest University of Technology and Economics, H-1521 Budapest, Hungary. bank@mit.bme.hu

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PubMed
Summary

Longitudinal components in piano sound are audible up to C(5). However, their impact is subtle above A(3), suggesting simplified modeling for sound synthesis is acceptable.

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Area of Science:

  • Acoustics
  • Musical Instrument Physics
  • Psychoacoustics

Background:

  • Piano sound synthesis often simplifies string vibration models.
  • Longitudinal string vibrations are typically ignored in simplified models.
  • The perceptual relevance of these components is not well-established.

Purpose of the Study:

  • To investigate the audibility of longitudinal string vibration components in piano sounds.
  • To determine the perceptual significance of these components across different pitch ranges.
  • To inform the development of more accurate and efficient piano sound synthesis models.

Main Methods:

  • Recording fortissimo piano sounds from multiple piano types (grand and upright).
  • Resynthesizing sounds with and without longitudinal vibration components.
  • Conducting ABX type listening tests to assess audibility and perceptual importance.

Main Results:

  • Longitudinal components were found to be audible up to note C(5).
  • The perceptual effect of longitudinal components in the A(3)-C(5) range was found to be subtle.
  • Audibility thresholds and perceptual significance varied with pitch.

Conclusions:

  • Longitudinal string vibration components are perceptually relevant up to C(5).
  • For sound synthesis, modeling these components up to A(3) may be sufficient, offering a balance between accuracy and computational cost.
  • Further research could explore the influence of playing dynamics and piano construction on the audibility of longitudinal components.