And you will find that you'll still need to TEST such antennas for usage after initial construction. The math is fine but this calculation only works exactly for so-called isotropic free-space antennas in a labratory.
Every dipole and length-dependant wire antenna I've ever put up always actually tested as coming in either above or below the targeted frequencies due to the "real time" installation differences such as height above ground, type of feedline used, proximity to nearby objects ect........so I always had to lengthen or shorten the wire a bit to achieve the exact center freq. I wanted. The formula is the correct starting point, but you'll likely need to adjust it.
The MFJ family of Antenna Analyzers work great for this like their 259B and 269 models. Best radio tool you'll ever own.