Wire thickness v ohms

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im a bit usure about this ...
I've recently started wrapping my own coils and thought, probably mistakenly that the thinner the wire, the lower the resistance I would get.
That is if I use 22+32 awg as an Ss Clapton wire the ohms of the finished coils would be higher (for arguments sake 0.5) than if I wrapped the same coil internal diameter and number of wraps than if I used 26+32 awg.
Or have I got this totally back to front?
My ultimate aim using ss Clapton wire and 5/6 wraps in a dual coil set up is to get something like 0.25 to 0.3.
I do use the steam ... Coil wrapping website calculator but there's no option for Clapton wire in the drop down list.
As always any help and guidance would be greatly appreciated.
 
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