THE
SENSATIONS OF TONE
Bibliographical Note.
First English Edition, June, 1875;
Second Edition, revised and Aj^pendix added, August, 1885;
Third Edition, reprinted from Second Edition, June, 1895.
ON THE
SENSATIONS OF TONE
AS A PHYSIOLOGICAL BASIS FOR THE
THEOEY OF MUSIC
BY
HERMANN L. F. HELMHOLTZ, M.D.
LATE FOREIGN MEMBEE OF THE ROYAL SOCIETIES OF LONDON AND EDINBURGH,
PROFESSOR OF PHYSIOLOGY IN THE UNIVERSITY OF HEIDELBERG, AND
PROFESSOR OF PHYSICS IN THE UNIVERSITY OF BERLIN
Trmisluted, thoroughly Revised ami Corrected, rendered conformable to the Fourth
(a7id last) German Edition of 1877, with numerous additional Notes and a
New additional Appendix bringing doicn information to 1885
and especially adapted to the use of 3Iusical Students
BY
ALEXANDER J. ELLIS
B.A., F.R.S., F.S.A., F.C.P.S., F.C.P.
T^\^CE PRESIDENT OF THE PHILOLOGICAL SOCIETY, MEMBER OF THE MATHEMATICAL SOCIETY,
FORMERLY SCHOLAR OF TRINITY COLLEGE, CAMBRIDGE,
AUTHOR OF ' EARLY ENGLISH PRONUNCIATION ' AND ' ALGEBRA IDENTIFIED WITH GEOMETRY '
THIRD £DITPON
LONDON
LONGMANS, GREEN, AND CO.
AND NEW YORK
All rights reserved
PHYSICS DEPT.
(JIL.^^Ua^<$>^ '
ABEEDEEN UNIVERSITY PRESS.
TRANSLATOR'S NOTICE
SECOND ENGLISH EDITION.
Ix preparing a new edition of this translation of Professor Helmlioltz's great work on the Sensations of Tone, which was originally made from the third German ed…