Abstract

The paradigm of Signal Detection Theory (SDT) was used to analyze the ability of professional pianists (N = 16) and string players (N = 15) to discriminate small F0 differences between consecutive musical tones, presented in pairs, with identical and with different (bright and dull) timbres. The sensitivity (d′) and response bias (c) were heavily dependent on the timbral arrangement of the pairs of tones (the “comparable tones”), which can be interpreted as the influence of timbre-induced pitch shift on F0 discrimination. The participants were somewhat biased to “miss” signals when comparable tones had identical timbres and to make “false alarms” when the tones had different timbres. The d′ was lowest when the tones with a lower F0 in those stimulus-pairs containing tones with different timbres had a brighter timber, and highest when both tones had bright timbre. On average, the string players had a somewhat higher d′ and their perception was slightly less influenced by timbre-induced pitch shift when compared to the pianists. Nevertheless, the dependence of d′ and c on the timbral arrangement of the tones was registered in the case of all the participants at all the investigated pitch regions around D#3, D4, and C#5. Furthermore, the presence of a silence of 3.5 s—a silence interval—between the tones to be compared had an impact on both d′- and c-values as well as on the degree of vulnerability to timbre-induced pitch shift.

Highlights

  • The ability to play or sing in tune is one of the most important qualities of the professional musician

  • The aim of this paper is to investigate the phenomenon of timbre-induced pitch shift from the perspective of Signal Detection Theory (SDT)

  • The broken isosensitivity (d = 0) diagonal line rising from the lower left corner divides the plot into two sections

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Summary

Introduction

The ability to play or sing in tune (i.e., to use correct pitches) is one of the most important qualities of the professional musician. Musicians have agreed internationally that the value of the fundamental frequency (F0) of A4 is set at 440 Hz and that the F0-s of the rest of the scale steps should be calculated from that reference by means of certain formulas (e.g., in the equal tempered chromati√c scale the F0 of adjacent scale steps should differ by the factor 12 2). From this perspective it would be logical to assume that pitch in music should be directly linked to the F0 of the particular tone. This standpoint is supported by the fact that the presence or absence of beats is often used by musicians as a guide when they have to tune two simultaneous tones to the same pitch (the cessation of beats indicates that the F0-s of two tones are identical)

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