This is certainly correct.ClayJar:6 volumes of gas in a flexible container at 1 ata will be 3 volumes of gas when you bring that container with you to a pressure of 2 ata.
But then you had a brain fart and said:
When it should have been 3(volume at depth)/6(surface volume). i.e. 1/2. Which is the relationship you correctly described before your brain fartClayJar:The ratio of the final volume to the initial volume was 2/6, i.e. 1/3.

I understood the text fine, it just didn't match with the numbers that followed. Hence, my clarification.ClayJar:You misrepresent what I said (perhaps due to not following what I said).