I get this as 40% more effective, a hidden section took nearly 45 seconds to be shown with the higher octave but only 18 seconds with this.
199611.9374 # Octave^-3 of 1597264.4036
I believe its a effectiveness vs penetration issue, but in this case penetration aka unhiding something we can't get at may not be as important...although I could argue the other side of this as well...