Do Mathematicians Have Above Average Musical Skill?

2011 ◽  
Vol 29 (2) ◽  
pp. 203-213 ◽  
Author(s):  
Jennifer Haimson ◽  
Deanna Swain ◽  
Ellen Winner

accompanying the view that music training leads to improved mathematical performance is the view that that there is an overlap between the kinds of skills needed for music and mathematics. We examined the popular conception that mathematicians have better music abilities than nonmathematicians. We administered a self-report questionnaire via the internet to assess musicality (music perception and music memory) and musicianship (music performance and music creation). Respondents were doctoral-level members of the American Mathematical Association or the Modern Language Association (i.e., literature and language scholars). The mathematics group did not exhibit higher levels of either musicality or musicianship. Among those reporting high music-performance ability (facility in playing an instrument and/or sight-reading ability), mathematicians did not report significantly greater musicality than did the literature/language scholars. These findings do not lend support to the hypothesis that mathematicians are more musical than people with nonquantitative backgrounds.

1977 ◽  
Vol 23 ◽  
pp. 1-15
Author(s):  
Andrew Barker

A long and important fragment of the Περὶ μοψσικῆς of Theophrastus is preserved in Porphyry's commentary on Ptolemy's Harmonics. Both Porphyry and Ptolemy were reedited earlier in this century by Düring, in works which have rightly been taken to supersede the texts of Wallis: and so far as the Theophrastus passage is concerned, we should expect to be able to abandon in Düring's favour the text published by Wimmer, who in effect reprints Wallis, though adopting a few variant readings and emendations from Schneider. But it seems to me that Düring's text is not in all respects an improvement, and that the comments made on it in a subsequent publication by Alexanderson have muddied the waters still further. It is not only a matter of the text: Alexanderson prints also a (partial) translation and an interpretative commentary, and both are open to serious objections. I intend in this paper to deal only with a portion of the fragment, but it is that portion whose argument is the most intricate, and one which ought to shed a good deal of light on central controversies among the musical theoreticians who follow Aristotle. I am not in a position to dispute any of Düring's findings in the manuscripts, but where emendation has in any event proved necessary or where the manuscripts differ among themselves, I hope to show through a study of the content of the argument that the case in favour of Düring is not always closed.


2004 ◽  
Vol 19 (3) ◽  
pp. 140-145
Author(s):  
Rajko Črnivec

This study consisted of medical examination and comparison of results obtained in 70 musicians from the Slovene Philharmonic Orchestra, Ljubljana. The main goals of the study were to identify performance-related musculoskeletal disorders, to assess the health status and working capacity of the musicians, and to propose measures for improved protection of their health. The results were compared with results obtained in a control group of 28 marketing workers at Philip Morris Enterprise, Ljubljana. Musculoskeletal problems of the studied group of Slovene musicians were compared with problems of 109 musicians of the Berlin Opera Orchestra examined at the Institute of Occupational Health, Berlin, Germany. We identified performance-related diseases (inflammatory and degenerative skeletal disorders and minor occupational hearing impairments) that were most frequent. A significant proportion of performing musicians had overuse syndrome, caused by excessive use of the extremities and characterized by cumulative microtrauma exceeding human physiologic limits, and dermatologic problems, such as finger calluses and “fiddler’s neck.” The most frequent musculoskeletal problems were due to repetitive motion, unphysiologic postures (isometric strain on the affected muscles), and prolonged sitting position during performances. The highest level of musculoskeletal disorders was noted in the double bass and cello sections, followed by violin, viola, woodwind, and brass players. The severity of physical impairments and restricted ability to perform music were correlated with age, duration of classical music performance, and total length of service. In the group of Slovenian musicians, the incidence of health problems in general was twice as high as in the control group, whereas the incidence of musculoskeletal disorders was six times as high as that in the control group. Health status of the musicians in terms of moderate and severe physical impairments was worse than in the control group. Measures for improved health protection and better performance ability were proposed.


Author(s):  
Clara Germana Gonçalves ◽  
Maria João Dos Reis Moreira Soares

Abstract: This paper aims to study the role of the relationships between architecture, music and mathematics in Le Corbusier's thought and work and their relevance in his reinterpretation of classical thinking. It seeks to understand to what extent working with this triad – a foundational and, up until the seventeenth century, dogmatic aspect of architecture in general and of its aesthetics in particular – expresses a will not to break with the fundamental and defining aspects of what could be considered as architectural thought rooted in classical tradition: that which is governed by the will to follow the universal order in the work of art; building a microcosmos according to the macrocosmos; linking, in proportion to one another, the universe, man and architecture. The Modulor presents itself as a manifestation of that will, synthesizing these aspects while proposing itself as an instrument for interdisciplinary thought and practice in which the aforementioned aspects of classical thought are present, clearly and pronouncedly. Le Corbusier’s thought and work presents itself as a twentieth century memory of an ancient and ever present tradition conscious of its struggle for “humanity”. Resumen: Este artículo pretende estudiar el papel de la relación entre arquitectura, música y matemática en el pensamiento y la obra de Le Cobusier y su significado en su reinterpretación del pensamiento clásico. Intenta entender en qué medida con esta triada – aspecto fundacional y hasta el siglo XVII dogmático de la arquitectura, en general, y de su estética, en particular – Le Corbusier expresa su recusa por cortar el vínculo con los aspectos fundamentales y definidores de lo que puede considerarse un pensamiento de tradición clásica en arquitectura: aquel tutelado por la voluntad de seguir el orden universal en la obra de arte – construyendo un microcosmos según un macrocosmos – para así vincular, a través de la proporción, universo, Hombre y arquitectura. El Modulor se presenta como manifestación de esa voluntad, sintetizando estos aspectos y presentándose como un instrumento para un pensamiento y una práctica interdisciplinares en los cuales el pensamiento clásico se encuentra clara y marcadamente presente. El pensamiento de Le Corbusier, través su mirada hacia la relación arquitectura-música-matemática, se presenta, en el siglo XX, como una memoria de una antigua y siempre presente tradición, consciente de su busca por “humanidad”.  Keywords: Le Corbusier; Architecture, music and mathematics; classical thought; Modulor. Palabras clave: Le Corbusier; Arquitectura, música y mathematica; pensamiento clásico; Modulor. DOI: http://dx.doi.org/10.4995/LC2015.2015.791


PMLA ◽  
1983 ◽  
Vol 98 (2) ◽  
pp. 237-251 ◽  
Author(s):  
Katharine Slater Gittes

The Canterbury Tales is the culmination of a frame tradition that originated and developed in Arabia, not in the West. The Arabic practice of enclosing tales within a frame may be explained by principles of organization peculiar to medieval Arabic literature, art, music, and mathematics: a preference for concreteness, a stress on autonomous elements, and a reliance on external organizing devices. Most Arabic literature emphasizes the individual unit; frames remain open-ended and inconclusive and rarely determine the subject or form of any included part. Although many Western characteristics are present in medieval European frame narratives like the Disciplina Clericalis, the Decameron, and the Confessio Amantis, those works, nonetheless, reveal themselves as continuations of the Arabic tradition. Even the Canterbury Tales, with all its subtle artistry, retains qualities typical of its Arabic ancestors, notably the controlling travelpilgrimage motif, the pointedly random order of tales, and the prominent authorial personality.


1945 ◽  
Vol 26 (1) ◽  
pp. 21-21
Author(s):  
G. Warrack

2004 ◽  
Vol 52 (1) ◽  
pp. 6-15 ◽  
Author(s):  
Joyce Eastlund Gromko

The purpose of this study, grounded in near-transfer theory, was to investigate relationships among music sight-reading and tonal and rhythmic audiation, visual field articulation, spatial orientation and visualization, and achievement in math concepts and reading comprehension. A regression analysis with data from four high schools (N = 98) in the American Midwest yielded a 4–variable model that included reading comprehension, rhythmic audiation, visual field articulation, and spatial orientation, F = 21.26, p < 0.001, accounting for 48% of the variance on music sight-reading. The results support previous studies in music education, cognitive science, and neuroscience that have shown that music reading draws on a variety of cognitive skills that include reading comprehension, audiation, spatial-temporal reasoning and visual perception of patterns rather than individual notes.


1994 ◽  
Vol 64 (1) ◽  
pp. 65-76 ◽  
Author(s):  
Glenda M. Hodge ◽  
James J. Jupp ◽  
Alan J. Taylor

1971 ◽  
Vol 2 (4) ◽  
pp. 304-313 ◽  
Author(s):  
Lewis R. Aiken

Recent investigations pertaining to the importance of verbal factors in the learning of mathematics are reviewed. The paper is divided into 3 sections: (a) the relationships of mathematical ability to reading ability and general intelligence, (b) reading instruction and mathematics learning, and (c) student and teacher verbalizations. The importance of general intelligence for mathematics achievement is recognized, but the evidence for a group factor of mathematical ability is not convincing. Training in careful, analytical reading appears to have a beneficial effect on achievement in mathematics, but more controlled experiments with larger samples need to be conducted. The influence of verbalizing awareness of mathematical generalizations and the effects of teacher–student verbal interactions in mathematics classroom settings are other promising directions for research. Finally, an appeal is made for long–term multivariate investigations rather than piecemeal, one–shot studies.


Sign in / Sign up

Export Citation Format

Share Document