The Tritone Paradox: An Influence of Language on Music Perception

1991 ◽  
Vol 8 (4) ◽  
pp. 335-347 ◽  
Author(s):  
Diana Deutsch

The tritone paradox is produced when two tones that are related by a half- octave (or tritone) are presented in succession. Each tone is composed of a set of octave- related harmonics, whose amplitudes are determined by a bell-shaped spectral envelope; thus the tones are clearly defined in terms of pitch class, but poorly defined in terms of height. When listeners judge whether such tone pairs form ascending or descending patterns, their judgments generally show systematic relationships to the positions of the tones along the pitch-class circle: Tones in one region of the circle are heard as higher and those in the opposite region are heard as lower. However, listeners disagree substantially as to whether a given tone pair forms an ascending or a descending pattern, and therefore as to which tones are heard as higher and which as lower. This paper demonstrates that the basis for the individual differences in perception of this musical pattern lies in the language spoken by the listener. Two groups of subjects made judgments of the tritone paradox. One group had grown up in California, and the other group had grown up in southern England. It was found that when the Californian group tended to hear the pattern as ascending the English group tended to hear it as descending, and when the Californian group tended to hear the pattern as descending the English group tended to hear it as ascending. This finding, coupled with the earlier results of Deutsch, North, and Ray (1990) that showed a correlate between perception of the tritone paradox and the pitch range of the listener's spontaneous speaking voice, indicates strongly that the same, culturally acquired representation of pitch classes influences both speech production and perception of this musical pattern.

1990 ◽  
Vol 7 (4) ◽  
pp. 371-384 ◽  
Author(s):  
Diana Deutsch ◽  
Tom North ◽  
Lee Ray

In the tritone paradox, two tones are presented that are related by a halfoctave. Each tone consists of a set of octave-related sinusoids whose amplitudes are scaled by a bell-shaped spectral envelope; thus the usual cues to height attribution are missing. When listeners judge whether such tone pairs form ascending or descending patterns, judgments are related in an orderly fashion to the positions of the tones along the pitch class circle: Tones in one region of the circle are heard as higher and those in the opposite region as lower. However, listeners differ strikingly in the orientation of the pitch-class circle with respect to height. So far, the basis of the tritone paradox and the reasons for the individual differences in its manifestation have proved elusive. In the present study, a correlation is found between perception of the tritone paradox and the range of fundamental frequencies of the listener's speaking voice. To the authors' knowledge, this is the first demonstration of a close connection between the perception of a musical pattern on the one hand and the listener's speech characteristics on the other.


1998 ◽  
Vol 15 (3) ◽  
pp. 253-264 ◽  
Author(s):  
Janice Giangrande

The tritone paradox reveals compelling individual differences in the orientation of the pitch class circle derived from judgments of tritone pairs. Some subjects perceive tones in one half of the pitch class circle as higher than tones in the opposite half, whereas other subjects produce the converse pattern. Because geographical differences in perception of the tritone paradox have been found, an interesting issue concerns how subjects in additional regions of the United States may perceive the tritone paradox. A second issue of interest concerns the extent to which the position of the spectral envelope affects how the pattern is perceived. These issues are here addressed in a study of the tritone paradox in a group of subjects from South Florida. With respect to the first issue, the overall histogram of peak pitch classes produced by the subjects from South Florida was similar to the histogram found among Californian subjects. To address the second issue, tone pairs were generated under four spectral envelopes spaced at half-octave intervals. The majority of subjects evidenced differences in peak pitch class of no more than 2 semitones when judgments under each of the four spectral envelopes were compared.


1994 ◽  
Vol 12 (2) ◽  
pp. 227-255 ◽  
Author(s):  
Bruno H. Repp

Deutsch and coworkers (Deutsch, 1991; Deutsch, North, & Ray, 1990) have proposed that individual differences in the perception of the "tritone paradox" derive from listeners' reference to a mental pitch template, acquired through experience with the pitch range of their own voice, as well as with the voice ranges typical of their language community. These authors have reported a correspondence between perceptual results and the upper limit of the individual voice range for a small group of selected subjects, as well as a striking difference in tritone perception between American and British listeners. The present study compared groups of Dutch, British, and American listeners on two tritone tests and also collected voice pitch data for the first two groups in a reading task. There was no within-group correlation of perceptual results with individual differences in voice range. Differences in tritone perception as a function of stimulus characteristics (spectral envelope) were much larger than reported by Deutsch, which casts doubt on the notion of stable individual pitch templates. A significant difference between British and American listeners, with the Dutch group in between, was found in one of the two tritone tests but not in the other. Although the origin of this difference remains unclear, it seems unlikely that it has anything to do with regional differences in voice pitch range.


1992 ◽  
Vol 336 (1278) ◽  
pp. 391-397 ◽  

This paper explores two new paradoxical sound patterns. The tones used to produce these patterns consist of six octave-related harmonics, whose amplitudes are scaled by a bell-shaped spectral envelope; these tones are clearly defined in terms of pitch class (C, C#, D, and so on) but are poorly defined in term s of height. One pattern consists of two tones that are separated by a half-octave. It is heard as ascending when played in one key, yet as descending when played in a different key. Further, when the pattern is played in any one key it is heard as ascending by some listeners but as descending by others (the tritone paradox). Another pattern that consists of simultaneous pairs of tones displays related properties (the semitone paradox). It is shown that the way the tritone paradox is perceived correlates with the speech characteristics of the listener, including his or her linguistic dialect. The findings suggest that the same, culturally acquired representation of pitch classes influences both speech production and also perception of this musical pattern.


2012 ◽  
Vol 35 (1) ◽  
pp. 27-33 ◽  
Author(s):  
María Gómez ◽  
Cristina López De Subijana ◽  
Raquel Antonio ◽  
Enrique Navarro

The drag-flick is more efficient than hits or pushes when a penalty corner situation is in effect in field hockey. Previous research has studied the biomechanical pattern of the drag-flick, trying to find the cues for an optimal performance. On the other hand, some other studies have examined the most effective visual pick-up of relevant information in shots and goalkeeper anticipation. The aim of this study was to analyse the individual differences in the drag-flick pattern in order to provide relevant information for goalkeepers. One female skilled drag-flicker participated in the study. A VICON optoelectronic system (Oxford Metrics, Oxford, UK) was used to capture the drag-flicks with six cameras. The results showed that the main significant differences between right and left shots (p<0.05) in the stick angles, stick minimum angular velocity and front foot-ball distance were when the front foot heel contacted the floor (T1) and at the minimum velocity of the stick, before the dragging action (T3). The findings showed that the most relevant information might be picked up at the ball-and-stick location before the dragging action.


1979 ◽  
Vol 1 (1) ◽  
pp. 76-86 ◽  
Author(s):  
A. Craig Fisher

An individual differences approach to multidimensional scaling is outlined from the perspective of the modern interactional paradigm. The applicability of the individual differences model to anxiety research in sport settings is demonstrated. The model offers the advantage that both individual athlete data and group athlete data are revealed in the analysis simultaneously, without either analysis restricting the other. Representations of the structure in sport anxiety data matrices are unlocked by the individual differences model. Additional applications of the model to sport psychology research topics are offered.


Perception ◽  
1997 ◽  
Vol 26 (5) ◽  
pp. 645-665 ◽  
Author(s):  
Bruno H Repp

In previous studies of the ‘tritone paradox’ Deutsch has suggested that, when listeners are presented with pairs of octave-complex tones that are equal in average log frequency but differ in chroma by 6 semitones (a tritone), they perceive the direction of the chroma difference according to an individual pitch-class template. However, it has also been found that the perceived direction changes for many listeners when the spectral envelope of the tones is shifted along the frequency axis. Reanalysis of these data indicates a strong tendency to perceive the pitch class corresponding to the frequency on which the spectral envelope is centered as subjectively lowest. In experiment 1 this spectral-envelope effect was replicated with tone pairs presented in isolation, at the rate of one a day, which rules out artifacts of test format. In experiment 2, involving another context-free format, envelope center frequency was varied over a wide range and it was shown that some individuals are totally envelope dependent, whereas others rely more on pitch class, and yet others show mixed patterns. Experiment 3 demonstrated that listeners' judgments of tritone pairs can be swayed easily by preceding context. Finally, experiment 4 showed that strong envelope effects are also obtained with Deutsch's own tritone test (issued on CD). The subjective relative pitch height of octave-complex tones thus depends on several competing factors, only one of which is pitch class.


1973 ◽  
Vol 36 (1) ◽  
pp. 259-262
Author(s):  
Steven Jay Gross ◽  
Samuel F. Moore ◽  
Stephen L. Stern

Two methods of investigating human information processing, the one focusing on the manipulation of experimental tasks and the other emphasizing individual differences, were compared. The design utilized the experimental tasks of Treisman and Riley (1969) while examining for individual differences on the basis of Witkin's field-articulation dimension. The findings of Treisman and Riley were replicated, while no differences were found among Ss categorized on the individual-difference dimension, suggesting that task variables were most important in performance requiring selective attention.


1999 ◽  
Vol 90 (3) ◽  
pp. 670-680 ◽  
Author(s):  
Gitta H. Lubke ◽  
Chantal Kerssens ◽  
Hans Phaf ◽  
Peter S. Sebel

Background It is still unclear whether memory of intraoperative events results entirely from moments of inadequate anesthesia. The current study was designed to determine whether the probability of memory declines with increasing depth of the hypnotic state. Method A list of words was played via headphones during surgery to patients who had suffered acute trauma. Several commonly used indicators of anesthetic effect, including the bispectral index, were recorded during word presentation. First, these indicators served as predictors of the memory performance in a postoperative word stem completion test. Second, general memory performance observed in the first part was separated into explicit and implicit memory using the process dissociation procedure, and then two models of memory were compared: One model assumed that the probability of explicit and implicit memory decreases with increasing depth of hypnotic state (individual differences model), whereas the other assumed equal memory performance for all patients regardless of their level of hypnotic state. Results General memory performance declined with decreasing bispectral index values. None of the other indicators of hypnotic state were related to general memory performance. Memory was still significant at bispectral index levels between 60 and 40. A comparison of the two models of memory resulted in a better fit of the individual differences model, thus providing evidence of a dependence of explicit and implicit memory on the hypnotic state. Quantification of explicit and implicit memory revealed a significant implicit but no reliable explicit memory performance. Conclusions This study clearly indicates that memory is related to the depth of hypnosis. The observed memory performance should be interpreted in terms of implicit memory. Auditory information processing occurred at bispectral index levels between 60 and 40.


1994 ◽  
Vol 12 (1) ◽  
pp. 125-136 ◽  
Author(s):  
Diana Deutsch

In a study by Deutsch (1991), a large and highly significant difference in perception of the tritone paradox was found between a group of subjects who had grown up in California and a group who had grown up in the south of England: In general, where the Californian group tended to hear the pattern as ascending the English group tended to hear it as descending, and vice versa. The present paper documents some further geographical correlates that are derived from the data obtained by Deutsch (1991). The strength of the relationship of pitch class to perceived height was found to depend on the overall heights of the spectral envelopes under which the tones were generated. However, the direction of this dependence differed significantly depending on the subject population. For subjects showing a "Californian pattern" (i. e., whose overall peak pitch classes were in the range moving clockwise from A#–B to D#–E), this relationship was more pronounced for tones generated under lower spectral envelopes, and so when the tones were perceived as lower in overall height. In contrast, for subjects showing an "English pattern" (i. e., whose overall peak pitch classes were in the opposite region of the pitch-class circle), this relationship was more pronounced for tones generated under higher spectral envelopes, and so when the tones were perceived as higher overall instead. Given the literature on the pitch of speech as a function of linguistic community, these findings provide further evidence that perception of the tritone paradox is related to the processing of speech sounds.


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