"The rate of vibration of the rod as a whole is to the rate corresponding to its first division nearly as the square of 2 is to the square of 5, or as 4:25. From the first division onward the rates of vibration are approximately proportional to the squares of the series of odd numbers 3, 5, 7, 9, 11, etc. Supposing the vibrations corresponding to this and to its successive divisions would be expressed approximately by the following series of numbers:
36, 225, 625, 1225, 2025, etc.
See page 162 of (Tyndall, John; Sound; Longmans, Green, and Co., London, 1893.) for illustration.
See Also
Compound Interval
Law of Corporeal Vibrations
Law of Harmonic Vibrations