How many different (types of) cycle length do you experience? What meds or supplements or other substances change your cycle lengths? What other influences are there?

I experience four types, I think: many months (2/3 of a year or longer), textbook rapid cycling (six months for depression and mania), daily mood changes and extreme mood changes from seconds to minutes, truly mixed (thoughts can't keep up with the changes in mood).

Are any superimposed on others, on another?

My antipsychotic helps me to make me textbook rapid cycling, but the moderately mixed type may be superimposed on that one. The longest cycles have to be supported by changing and unchanging (and strict, unwanted) routines and activities.

Stimulants increase cycle lengths, except for some mixed states, serotonin might cause a mixed state. Nicotine decreases cycle length up to a point, I think. My other supplements (not 5-HTP) do a very good job at stabilising my mood, so decreasing cycle length.