Temperature-induced length and tension variations affecting the pitch of a stretched string
Robert E. Kelly · The Journal of the Acoustical Society of America · 1979
The pitch variation of a stretched string is analyzed in terms of length and tension perturbations caused by temperature. In particular, it is shown that tension changes due to differential expansion between the string and its frame usually dominate the effects caused by an explicit length deviation. Numerical examples are given for various combinations of string and frame compositions. The corresponding problem for the wind instruments is briefly considered, including the typical viewpoint of performing musicians.