Is economy 7 cheaper to run then a standard meter?

i have an economy 7 meter but i don't use it at night .i have asked to have a basic meter installed but i have been told that i would pay more ,a standing charge .i have a 2 rate meter and i want it changed to a basic 1 rate meter ,but i have been asked to reconsider .need some advice as to what would save me money .thank you sheila