Created on 21 July 1997.
Last modified on 5 August 2000.
References
- Diana Deutsch
- The tritone paradox: Effects of spectral variables
- Perception & Psychophysics
- Volume 41, number 6
- pp. 563-575
- 1987
- Abstract
- A paradoxical two-tone pattern is explored, which is heard as
ascending when played in one key but as descending when played in
a different key. The pattern thus provides a striking
counterexample to the principle of invariance under
transposition. In addition, the pattern in any one key is heard
as ascending by some listeners and descending by others. This
study examines the effects of spectral variables on how the
pattern is perceived.
- Diana Deutsch
- Paradoxes of Musical Pitch
- Scientific American
- pp. 88-95
- August, 1992
- Abstract
- Certain series of tones appear to ascend or descend infinitely
in pitch. Other patterns change when shifted in key and
indicate an influence of speech on the perception of music.
- Nicholas L. Falletta
- The Paradoxicon
- John Wiley & Sons, Inc.
- New York
- Wiley & Sons edition
- 1990
- First published in 1983 by Doubleday & Company, Inc
- Richard L. Gregory and Priscilla Heard
- Border locking and the Café Wall illusion
- Perception
- Volume 8
- pp. 365-380
- 1979
- M. Luckiesh
- Visual Illusions: Their Causes, Characteristics,
and Applications
- Dover Publications, Inc.
- New York
- Dover edition
- 1965
- First published in 1922 by D. Van Nostrand Company and
Constable & Company, Ltd.
- Gerald M. Murch
- Visual and Auditory Perception
- The Bobbs-Merrill Company, Inc.
- Indianapolis
- 1973
- J. O. Robinson
- The Psychology of Visual Illusion
- Hutchinson & Co. (Publishers) Ltd.
- 3 Fitzroy Square, London
- 1972
- Roger N. Shepard
- Circularity in Judgements of Relative Pitch
- The Journal of the Acoustical Society of America
- Volume 36, number 12
- pp. 2346-2353
- 1964
- Abstract
- A special set of computer-generated complex tones is shown to lead
to a complete breakdown of transitivity in judgments of relative
pitch. Indeed, the tones can be represented as equally spaced
points around a circle in such a way that the clockwise neighbor
of each tone is judged higher in pitch while the counterclockwise
neighbor is judged lower in pitch. Diametrically opposed tones --
though clearly different in pitch -- are quite ambiguous as to the
direction of the difference. The results demonstrate the operation
of a ``proximity principle'' for the continuum of frequency and
suggest that perceived pitch cannot be adequately represented by a
purely rectilinear scale.
- Frankie K. Sun, William B. Cowan and Kellogg S. Booth
- Understanding Visual Effects in a Windowed Environment
- Proceedings of Graphics Interface '90
- pp. 100-107
- May 14-18, 1990
- Abstract
- We describe five demonstration programs for displaying variants of
effects reported in the vision literature. The demonstrations use a
windowed workstation environment, the X Window System Version 11.
The performance of the window system is analyzed in terms of our
implementation experience and suggestions are made for future window
system architectures based on that experience. The visual effects
are then discussed in terms of what they teach us about the display
of information within a windowed environment and the tools that the
visual effects themselves provide for improving that environment.