Thank you to all who posted and/or voted. The reason that I am asking this question is two fold:
1. I have read many articles that state the best temperature range for corals, in general, is 77F-78F. I realize that different types and species of corals have different requirements. But then I wonder if having such a tight range will not be perceived as "natural" by the organisms. By this I mean that there are temperature fluctuations in the sea, and these fluctuations vary from day to day/week/month, etc., which correspond to the changes of the seasons and the atmosphere. It is true that all living beings are stimulated by changes in their environments, and these stimuli promote growth and adaptation (to a certain extent), which in turn, increases their capacity to thrive in such environments.
2. This is more of a technical issue with the equipment. With my tank (40g reef), and the average household temperature (75F), I have to program my heater unit to 80F (which is in the sump) in order to achieve an average temperature of 77.6F in the DT. My average range is 77.4F-77.8F (lights off-lights on). I wonder how productive is the investment in trying to achieve a very tight temperature ranges is over time.
I propose and genuinely ask these questions because I am not very experienced with corals. So please be kind towards my ignorance and lack of knowledge.