The endless scale illusion, obtained by cyclically repeating a chromatic scale made up of Shepard tones, has been used in a variety of musical works. Music psychology and neuroscience has been interested in this particular psychoacoustic phenomenon mainly for studying the cognitive processes of pitch perception involved. In the present study, we investigated the emotional states induced by the ...

Abstract In this paper, we construct the complex Shepard operators to approximate continuous and complex-valued functions on unit square. We also examine effects of regular summability methods approximation by these operators. Some applications verifying our results are provided. To illustrate theorems graphically consider real or imaginary part function being approximated use contour lines mod...

This commentary centers on the novel findings by Shepard et al. (2016) published in eNeuro. The authors interrogated tonotopic map dynamics in auditory cortex (ACtx) by employing a natural sound-learning paradigm, where mothers learn the importance of pup ultrasonic vocalizations (USVs), allowing Shepard et al. to probe the role of map area expansion for auditory learning. They demonstrate that...

Methods approaching the problem of the Hermite Birkhoff interpolation of scattered data by combining Shepard operators with local interpolating polynomials are not new in literature [1–4]. In [3] combinations of Shepard operators with bivariate Hermite-Birkhoff local interpolating polynomials are introduced to increase the algebraic degree of precision (polynomial reproduction degree) of Shepar...

The term "T-strain" was applied by Shepard (1954) to a strain of mycoplasma which, when cultured on solid agar, shows morphological differences from other members of the species (Shepard, 1956). Shepard (1954) recovered T-strain mycoplasmas from urethral scrapings taken from cases of nongonococcal urethritis (NGU) and later found that this organism was present in some 70 per cent. of such cases...