I believe I raised this question in class.
The two books refer to the three as either:
Strategic - Tactical - Operational
OR
Strategic - Operational - Frontline
According to my teacher, so long as you provide the correct associated definition, the title of the planning (whether you use option 1 or 2) is practically irrelevant.
I have, however, always gone by:
Strategic: 3-5 years, carried out by CEOs/upper management, long term planning and where the business intends to be - eg: greater market share/expansion
Tactical: 1-2 years, upper managers, middle term planning, intends to place the organisation in a position to achieve their long term goals - eg: upgrade equipment
Operational: Day to day planning, frontline managers (supervisors); eg: ensuring work is being done to necessary quality standards