Cumulation of DL's for Intensity Change at Low Sensation Levels

Peter J. Dallos, Raymond Carhart

Research output: Contribution to journalArticlepeer-review


Data which appear in the literature on normal DL's for intensity change lead to the hypothesis that, for pure tones through a sensation level of 40 dB, a linear function relates 1/jnd to the sensation level. A nonlinear difference equation expressing this hypothesis is developed here. A resultant formula allows the number of jnd's which cumulate within a range of sensation levels to be compared, provided one knows the DL magnitudes at the two limits of that range. The adequacy of this procedure was tested on six normal hearers. It was found that the number of jnd's which each subject exhibited when DL's were successively cumulated experimentally at 1000 and 4000 cps corresponded to within an average error of 4.0% to the number predicted from the formula. The maximum single error of prediction was 6.6%.

Original languageEnglish (US)
Pages (from-to)848-855
Number of pages8
JournalJournal of the Acoustical Society of America
Issue number6
StatePublished - Jan 1 1963

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics


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