As I said, I didn't look at the maths. From memory (40 year old memory)
For watts 10 log (P1/P2) [The 10 is there because we want the answer in deci Bels, not Bels]
For volts 20 log (V1/V2) [The 2 is there because of Technobear's point.]
gives the dB between the two signals
20 log (2.0/1.8)
according to Google calculator this is
20 log(2.0 / 1.8) = 0.915149811 dB
ie about the limit of human discernment.
This site seems to confirm my memory
http://www.astralsound.com/the_decibel.htm
Anyone more knowledgeable want to chip in?

