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Haldane originally used 2:1, which was comparing inspired air pressure
which was saturating the  tissues to the ambient pressure.  

However, as they began to think about the mechanics, they realized that
it was the tissue inert gas pressure that was critical, so since the FiN2
in air is 0.79, the original 2:1 ratio became 1.58:1 looking only at
the nitrogen.

Haldane assumed that this ratio was consistant across all the compartments,
but later work began to suggest that the short halftime compartments
tolerated greater overpressure ratios (ie, a very short, bounce dive was
predicted to give short ND limits than the experimental data showed.  Since
the shorter halftime compartments are usually the controlling ones in this
kind of diving, it became obvious that these compartments tolerated more
overpressure than the slow ones).

John 

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