Frequency of Vibration of Stretched String
f = frequency, n = integer ≥1, l = length of string, T = tension on string, μ = mass per unit length of string
The frequencies of the vibrations on a stretched string held at both ends are integer multiples of the fundamental frequency 1 2 l T μ .
University Physics, F W Sears, M W Zemansky, 3rd edition, Addison-Wesley, 1967