The "J" factor is the square root of -1. No, really. it is mainly used for plotting how voltage/current leads/lags current/voltage in inductive or capacitive circuits. I am no electrical/electronic engineer, just a simple tech with enough knowledge to know that everyone's argument is "a little" right.
The 2 110vAC "phases" that come into your home are 180deg "out of phase" with respect to one another as a simple product of the physics of the windings (secondary) of a transformer. You could, in fact, produce a transformer where the 2 legs are in phase, but that would only go so far until the "electrical lengths" of the 2 legs become different.
Two true phases of electricity deal with the physical location of the wires as they come from the generator, and their phase relationship is relative to their respective location. If you have a generator, and you place 3 "brushes" equidistant around the amature, those 3 "phases" will be 120deg "out of phase" with each of their neighbors. if you increase the brushes to four, and place them equidistant, each will be 90deg out of phase to its neighbor, and 180deg out of phase with its diametric opposite cousin. Take any number, place it around the armature, divide by 360, and you will get the phase relationship between any 2 legs. see
Since, I believe, the original question was about wiring 110 and 220 on the same circuit, and the dryer/oven timer wiring was mentioned, remember that the 220 is stepped down to 110 usually as a convenience(because the 110 is readily available, existing only to become one of the additives for 220 when necessary to perform the primary function of the device; i.e. the heating element), and is tapped off of in parallel to run the power supply of the "convenience" items(clock, timer, motor) at a much more friendly voltage-5 or 12vDC in the case of the newer appliances.
The simple answer to the question is yes. 110 and 220 co-exist quite nicely in a circuit. If you try to make up a home-brewed solution to allow them to co-exist, it would be a good idea to get advice not from a newsgroup, or the web itself. Consulting with a live electrician, an electrical inspector, AND your homeowner's insurance carrier is a must! Insurance will not cover incidents caused by wiring not done to code. DAMHIKT!