Visual Comparison of Ensemble Averaged Transverse Arching Profiles of Golden Age Cremonese Violins and Curtate Cycloid Curves

R.M. Mottola

Abstract


Previous research indicated that arching profiles of golden age Cremonese violins are not accurately represented by curtate cycloid curves and that a high degree of variability exists among the arching profiles of those instruments. This follow up study generated ensemble averaged arching profiles from size-normalized arching profiles for three profile locations (upper bout, C bout and lower bout) of six violins and visually compared them to mathematically generated curtate cycloid curves. Curtate cycloid curves appear to closely match ensemble averaged profiles at the C bout location only. An attempt was also made to identify other mathematically generated curve types that may offer close approximations to ensemble averaged profiles, using automated curve fitting software. Only polynomials of at least 5th order were identified as candidates offering close approximations. A single Cartesian function approximating the ensemble averaged profiles was identified which may be of use to modern violin makers desiring to make use of these profiles in modern instruments.

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Savart Journal

Article Information

  • Article published Jun 14, 2012.
  • This article has been accessed 5960 times since publication.

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