Apologies for the argumentative tone, but this really isn't right: the relationship between volatility and time-frame is a square-root one, not a logarithmic one as your statement perhaps implies. (Call me pedantic, but every time you double the periodicity of the time-frame, the volatility "should" - as a mathematical abstract - not necessarily fully accurately, of course) increase about 1.4-fold, that number being the square root of 2.0. The volatility of a time-frame 100 times higher should therefore be about 14 times higher, not 10.)