Primary Gas = (back mounted cylinders, or side slung cylinder(s)) gas used during the dive. Part of the gas calculation.
Stage Cylinder = (generally side slung cylinder(s)) gas used to extend the range of the Primary gas. Part of the gas calculation.
Travel gas = (generally carried side slung), used as a transitioning gas from the bottom gas to the decompression gas. Part of the decompression phase of the dive. Part of the gas calculation.
Decompression gas = (generally carried side slung), used for the decompression phase of the dive. Part of the gas calculation.
Pony Cylinder = (back mounted or side slung), a small cylinder (3 litre typical), carried as an emergency bailout supply for the diver. NOT part of the gas calculation for the dive. (Although sensible to know how much/how long it will last). Generally carried for no deco or light deco dives due to minimal available gas.
Bailout Cylinder = (generally side slung). Carried primarily by CCR divers. Part of the emergency supply in the event of unit failure. Specifically part of the bailout gas calculations - may well be more than one cylinder of differing gas mixes to enable safe ascent and decompression.
Pony cylinders are NOT used as part of a normal dive plan / profile. They are an emergency self help supply of gas, with the specific intent that when in use the diver is aborting the dive.
Generally;
Primary Gas and Stage cylinder gas follows rule of thirds.
Decompression gas & travel gas, rule of half's.
A Pony cylinder should have sufficient gas to get THE diver from the bottom to the surface and cover any required decompression.
Bailout Cylinder(s), should ensure the CCR diver can safely get from the furthest extent of the dive to the surface, completing all decompression. On extreme dives this may well require shared bailout protocols - to be avoided if possible. Calculations may need to be adjusted if it also intended to support OC divers/buddies.
DO NOT use the pony to extend a normal dive.
Do practice, ensure you are proficient with your pony if you have one.
Fantastic post. Couldn't have summarized it any better. Three cheers!!