Intonation and Compensation of Fretted String Instruments

In this paper we present mathematical and physical models to be used in the analysis of the problem of intonation of musical instruments such as guitars, mandolins and the like, i.e., we study how to improve the tuning on these instruments. This analysis begins by designing the placement of frets on the fingerboard according to mathematical rules and the assumption of an ideal string, but becomes more complicated when one includes the effects of deformation of the string and inharmonicity due to other string characteristics. As a consequence of these factors, perfect intonation of all the notes on the instrument can never be achieved, but complex compensation procedures are introduced and studied to minimize the problem. To test the validity of these compensation procedures, we have performed extensive measurements using standard monochord sonometers and other basic acoustical devices, confirming the correctness of our theoretical models. In particular, these experimental activities can be easily integrated into standard acoustics courses and labs, and can become a more advanced version of basic experiments with monochords and sonometers.Comment: Improved version, with minor changes. 25 pages, including 6 figures and 2 tables. Accepted for publication in the American Journal of Physics (AJP

Beelines: Joyce’s apian aesthetics

This article examines the presence of apian life in James Joyce’s body of work in light of Maurice Maeterlinck’s discovery at the turn of the twentieth-century that honeybees communicate using a complex system of language. In December 1903, Joyce offered to translate Maeterlinck’s book-length study La Vie Des Abeille (The Life of the Bee) (1901) for the Irish Bee-Keeper, and the pages of the journal later resurface on a book-cart in Ulysses. Beginning with a discussion of the ‘economy of bee life’ in Stephen Hero, this article explores Joyce’s career-long fascination with nonhuman modes of communication, tracing his fascination with apian intelligence through close readings of Bloom’s bee-sting in Ulysses, as well as through the swarm of references that appear in Finnegans Wake. Finally, it argues that bees offer new ways of reading Joyce’s work, opening up new lines of connection between the fields of literary criticism and apiculture, and drawing the reader’s attention to the peripheral hum or murmur at the edges of human speech