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my Petrel is set at GF 40/70. Means I get out of the water with 70% tissue loading assuming I'm on deco. If on a liveaboard, Petrel fails, dive is over. Come to the surface, worst case I'm at 70% tissue loading, so calculate your TNT. NAUI says my max at 70ft is 45 minutes, 45*.7=31.5, so I come out of that dive at worst a G diver, and then continue on with my liveaboard diving tables. PADI says 40 minutes max, so 40*.7=28, come out as an N diver, and continue on with liveaboard diving tables. Not rocket science. If you have a computer that runs GF's or where you know you are coming out with a certain theoretical tissue loading, multiplying that loading by the NDL times on the dive tables will give you a fairly conservative number. Next dive is going to stink as far NDL's, but better than waiting 24 hours which is idiotic, or having a more conservative computer as your backup and then you realize you bent it by accident and then it locks you out for 24 hours.
Only time I'd ever recommend a backup is if it was running IDENTICAL algorithms as your primary, otherwise you can run into all sorts of problems. Backup can be set on a less conservative setting than the primary as a sanity check if you have to blow a few mins of deco/safety stop whatever, but they should always be running identical algorithms. Alternatively, just keep a set of tables in your pocket, and call it good. Alternatively again, you can also run on the rule of 130 where 130-depth *rounded deeper to nearest 10ft=time. You should know about how deep you are, and should always have a backup timing device, so problem solved again there with simple math in your head or slate.
Only time I'd ever recommend a backup is if it was running IDENTICAL algorithms as your primary, otherwise you can run into all sorts of problems. Backup can be set on a less conservative setting than the primary as a sanity check if you have to blow a few mins of deco/safety stop whatever, but they should always be running identical algorithms. Alternatively, just keep a set of tables in your pocket, and call it good. Alternatively again, you can also run on the rule of 130 where 130-depth *rounded deeper to nearest 10ft=time. You should know about how deep you are, and should always have a backup timing device, so problem solved again there with simple math in your head or slate.