One thing that is confusing between linear and flyback supplies is that the 
transformer ratio does not really determine the output voltage of flyback 
converter. It's the feedback/control mechanism that ultimately sets the 
output voltage. Theoretically, a 1:1 transformer ratio could produce 
kilovolts from a 5V source, but you would never be able to build that with 
real components.

Isat (saturation current) is probably the most important transformer 
parameter; stay well below it otherwise you will have poor efficiency and 
excessive heating.
Make sure your driver transistor can handle the kickback that happens when 
it shuts off; higher turns-ratios will reduce this and higher leakage 
inductance will increase it.
Be sure to run a lot of spice simulations to get a feel for the design. And 
dont be too disappointed when your bench-test results, especially near 
full-load,  are not as good as your simulations.

Coilcraft has a variety of transformers with turns-ratios up to 1:100, but 
you wont need anything that high. 1:10 is a good starting point.

My nixie watch boosts 3.7V to about 150V for the display, using a coilcraft 
LPR6235. I exceeded Isat and it will overheat if left running for more than 
20 seconds.
I painted myself into a corner due to size constraints, but it basically 
works OK for a wristwatch. Still running after 2 years on it's *original* 
battery charge and keeping accurate time.


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