The idea came from a study of our atmosphere. The ionosphere is a high layer of the atmosphere that because it is charged reflects a certain range of electromagnetic radiation back to earth, where it bounces back again. Since the Earth is round this layer is spherical and so like anything else if you hit it with some energy that will excite it and the whole thing will vibrate or ring.
So your lightning or volcanic eruption puts energy in, triggering the so-called Schumann resonances. There are a number of them. I don't know if 6.5Hz is any more representative or not. Where the 7.83 came from, for all I know it is easy to make them that way, it falls within the range, and more numbers to the right of the decimal point makes any number sound a whole lot more sciency and precise whether it is or not.
So your lightning or volcanic eruption puts energy in, triggering the so-called Schumann resonances. There are a number of them. I don't know if 6.5Hz is any more representative or not. Where the 7.83 came from, for all I know it is easy to make them that way, it falls within the range, and more numbers to the right of the decimal point makes any number sound a whole lot more sciency and precise whether it is or not.