I'm confused about the resistance of this one.
I have checked calculators and there is no chance of the tolerance band being black, unless I'm color blind and this is actually brown.
Also, is there a way to determine its wattage other than calculating its size?
At first glance it seems to be twice the length of a 1/4 one.
aarg:
33 ohms, 1/2 or 1 watt (hard to tell just from looks), 5%
Do you have a schematic, and why do you need to know the value?
So if the golden bar is the tolerance, what does the 5th band means?
I don't have a schematic, I need to know the value so I can replace it as it seems to be faulty, there is no continuity when I test it with the multimeter (it reads 1 even in the highest range).
I don't believe you. Really, I'm sympathetic, but it's very rare for a resistor like that to go open circuit. Especially without burn marks on it or on the PCB. Check your multimeter settings again, did you do the "test leads together" continuity test? I think it's a 1 watt, 22 ohm resistor. Forget the 5th band for now. You can surf around about that after you get the repair done.
Also, is there a way to determine its wattage other than calculating its size?
Yes, you should be able to tell by measuring the size. Then if you replace it and you're not sure, you can replace it with a bigger higher-power resistor.
(it reads 1 even in the highest range).
What? Is that 1-Ohm, or some kind of over-range indication? Make sure power is off before measuring the resistance. "Residual" voltage from charged capacitors can also give invalid readings, but with low resistance, capacitors would discharge quickly so that shouldn't be a problem.
Really, I'm sympathetic, but it's very rare for a resistor like that to go open circuit.
It happens, but I've never seen a failed resistor that wasn't burned-up and black. And usually something else burns-up first, causing the resistor to overheat.