Above about 1 kHz, the angular radiation pattern of a violin begins to vary rapidly not only with direction but also with frequency, typically changing drastically from one semitone to the next. In an enclosed space, this characteristic, which we have named “directional tone color,” can sometimes produce the illusion that each note played by a solo violin comes from a different direction, endowing fast passages with a special flashing brilliance. It also has important consequences for the perception of vibrato, for the difference in sound between a solo violin and an orchestral section playing in unison, for the problem of reproducing violin sounds through a loudspeaker, and possibly for the mysterious quality called “projection.” This paper introduces the theoretical basis of directional tone color, presents data to support its existence, and discusses the various ways in which it can be musically important.

1.
G.
Weinreich
, “
Sound radiation from boxes with tone holes
,”
J. Acoust. Soc. Am.
99
,
2502
(
A
(
1996
);
see also G. Weinreich, “Vibration and radiation of structures with application to string and percussion instruments,” in Mechanics of Musical Instruments, edited by A. Hirschberg, J. Kergomard, and G. Weinreich (Springer-Verlag, New York, 1995).
2.
L. Cremer, The Physics of the Violin, transtated by J. S. Allen (MIT, Cambridge, MA, 1984), pp. 284–292.
3.
G.
Weinreich
, “
Sound hole sum rule and the dipole moment of the violin
,”
J. Acoust. Soc. Am.
77
,
710
718
(
1985
).
4.
L. Cremer, loc. cit., p. 315.
5.
M.
Schroeder
, “
Synthesis of low peak factor signals and binary signals with low autocorrelation
,”
IEEE Trans. Inf. Theory
16
,
85
89
(
1970
).
6.
J.
Meyer
, “
Directivity of bowed string instruments and its effect on orchestral sound in concert halls
,”
J. Acoust. Soc. Am.
51
,
1994
2009
(
1972
).
7.
H. O. Saldner, N.-E. Molin, and E. V. Jansson, “Measurements of the sound distribution from vibration modes of a violin using reciprocity and electronic holography,” in Proceedings International Symposium on Musical Acoustics, Catgut Acoustical Society/Société française d’Acoustique, 1995, pp. 413–419.
8.
G. Weinreich, “Radiativity revisited: theory and experiment ten years later,” in SMAC 93: Proceedings of the Stockholm Music Acoustics Conference, edited by A. Friberg, J. Iwarsson, E. Jansson, and J. Sundberg (Royal Swedish Academy of Music, Stockholm, 1994), p. 436.
9.
J.
Meyer
, “
Zur klanglichen Wirkung des Streicher-Vibratos
,”
Acustica
76
,
283
291
(
1992
).
10.
See, for example, J. Backus, The Acoustical Foundations of Music (Norton, New York, 1977), 2nd ed., p. 121.
11.
P. Boulez, “Le haut-parleur anonymise la source réelle,” Proc. 11th International Congress on Acoustics, Paris 8, 216 (1983), and private communications.
This content is only available via PDF.
You do not currently have access to this content.